PERSPECTIVES OF NOVICE TEACHERS ABOUT THE IMPACT OF BLENDED TEACHING ON LEARNING OF MATHEMATICS By Lukholo Raxangana BEd., BEd. (Hons) Dissertation submitted for the degree of MASTER OF EDUCATION in the SCHOOL FOR MATHEMATICS, NATURAL SCIENCES, AND TECHNOLOGY EDUCATION Faculty of Education University of the Free State Bloemfontein November 2022 Supervisor: Dr. K.G. Pule ii DECLARATION I, Lukholo Raxangana, student number 2017025269, solemnly declare that this dissertation, titled: “Perspective of novice teachers about the impact of blended teaching on learning of mathematics”, is my original work and is being submitted for the first time. It is the result of my own efforts through the professional assistance and guidance of my recognized supervisor, Dr K.G. Pule and has not been submitted for degree purposes at any other university. All sources quoted in this study have been duly indicated and acknowledged. Name of student: Lukholo Raxangana Signature Date: 30 November 2022 iii DECLARATION ON PLAGIARISM (i) I understand ‘plagiarism’ as the wrongful appropriation and stealing and publication of another author’s thoughts, ideas, or expressions, discoveries and inventions and so on and representing them as one’s own original work. This is the procedure of taking somebody else’s work or ideas and passing them off as one’s own. (ii) I have, therefore, duly and appropriately acknowledged all references and confirmed to avoiding plagiarism as I define and understand it. (iii) I have made use of the citation and referencing style as suggested by my supervisors. (iv) I declare that this dissertation is my own, as it is about my own practice improvement, through action research methodology. (v) No one is allowed to copy my work and present it as their own as the study is about me and the work that I do. (vi) I am committed to uphold research and professional integrity in academia. (vii) I am aware of the consequences of engaging in plagiarism as this is explained by the University of the Free State (UFS) intellectual Property (IP) Policy. 3 30 November 2022 Signature Date iv “It always seems impossible until it’s done”- Nelson Mandela v ACKNOWLEDGEMENT I wish to thank the Almighty God for bestowing upon me courage, perseverance and wisdom to finish this outstanding work. My sincere gratitude, appreciation and acknowledgements are directed to the following individuals: § My promoter, Dr. K.G. Pule, who has guided and walked with me until the final stage of this dissertation. § Mrs. Zukiswa Ketiwe, the university librarian, for her unending assistance in finding relevant sources, articles and other information used in this study. § All the teachers who agreed to offer me their valuable and precious time by participating in the interviews. § My wife Zesongiwe Raxangana, my kids Bungcwele and Khazimla Raxangana for allowing me to use their family time. § The language editor Dr A. K. Masha, for the commendable work. vi EDITING CERTIFICATE EDITING CERTIFICATE TO WHOM IT MAY CONCERN This certifies that the research document whose title appears below has been edited for proper English language, grammar, punctuation, spelling and overall style. Level of document: Masters dissertation Title: Perspectives of novice teachers about the impact of blended teaching on learning of mathematics Author: Lukholo Raxangana Date: November 2022 Signed Dr Tonny Kambi Masha (PhD in Education; D. Admin: Public Administration) PhD in Education; Doctor of Administration: Public Administration – Leadership Development, Mentoring and Training (Fort Hare); Master’s in Administration: Public Administration (Fort Hare); Honours B.A. (Group Dynamics - NMMU); Honours B.A. (Social Sciences - WSU); B.A. (Education - WSU); Postgraduate Diploma in Education (UWC) § Cell: International (+27 76 866 2388) Local (076 866 2388) Fax: 086-618-4409 E-Mail: akmasha@lantic.net § Postal address: PostNet Suite 436, Private Bag X 9063, East London, 5200, Eastern Cape, South Africa vii ABSTRACT Teaching mathematics in the Fourth Industrial Revolution (4IR) era offers novice mathematics teachers daunting challenges. Despite using various aids in teaching the learning area, novice mathematic teachers still experience challenges during crises such as during the COVID-19 pandemic era. Such challenges could escalate and confirm the preconceived notion perceived by others that mathematics is a challenging learning area. This study sought to investigate the perspectives of novice teachers on the impact of blended teaching and learning mathematics in Sedibeng West District. The study involved eight novice teachers from four selected schools. Blended Teaching (BT) approaches for novice teachers are intended to ensure that they are effective in their teaching so that learners can gain a deeper insight into mathematics. The researcher adopted a case study design involving thematic analysis of responses from novice mathematics teachers. The researcher conducted semi-structured and focus group interviews due to the origination of discrete ethical defies that do not fully match those fostered by one- on-one discussions on collecting the data. This study was framed mainly within a Social Constructivist theory by Vygotsky (1978). The study used the Community of Inquiry (CoI) model as its analytical framework to analyse the data. It emerged from the study that there were various perspectives of novice teachers about the impact of blended teaching on learning mathematics. These included the impact of load-shedding, benefits of blended teaching, perceptions of novice teachers, and hindrances of BT. Novice teachers from the selected schools ascribed their perceptions of the challenges associated with blended teaching tools. The anticipated findings of this study will give curriculum designers, district directors, school management teams, and mathematics teachers a clear overview of how these perceptions could be addressed across the board. Thus, the recommendation was that the teacher development division could train novice teachers in the Department of Basic Education to bridge the gap between teacher training institutions of higher learning. Novice teachers should attend classes on time to avoid the misuse of internet connection so that they (novice teachers) can supervise the learning process when using the devices. The development of Data-free blended teaching tools should assist all learners regardless of their location during load shedding. Keywords: Blended teaching, COVID, teachers, novice, and mathematics. viii Contents CONTENTS ........................................................................................................................................................ VIII CHAPTER ONE: INTRODUCTION AND BAKGROUND ................................................................................. 1 1.1 INTRODUCTION AND BACKGROUND ............................................................................................... 1 1.2 RESEARCH PROBLEM .................................................................................................................................. 3 1.3 RESEARCH QUESTION ................................................................................................................................. 4 1.3.1 SUB RESEARCH QUESTIONS ........................................................................................................................ 4 1.4 PRIMARY AIM ................................................................................................................................................ 4 1.5 RESEARCH OBJECTIVES ............................................................................................................................. 5 1.6 RESEARCH METHODOLOGY ...................................................................................................................... 5 1.6.1 QUALITATIVE RESEARCH METHOD ............................................................................................................ 5 1.6.2 RESEARCH DESIGN ..................................................................................................................................... 5 1.6.3 DATA COLLECTION ..................................................................................................................................... 6 1.6.4 RESEARCH POPULATION .............................................................................................................................. 6 1.6.5 PURPOSIVE SAMPLING ................................................................................................................................. 6 1.6.6 DATA ANALYSIS, INTERPRETATION, REPORTING AND QUALITY ASSURANCE .............................................. 7 1.7 VALUE OF THE STUDY ................................................................................................................................ 7 1.8 ETHICAL CONSIDERATIONS ...................................................................................................................... 7 1.9 CHAPTERS OUTLINE .................................................................................................................................... 8 1.10 SUMMARY .................................................................................................................................................... 8 CHAPTER TWO: LITERATURE REVIEW ......................................................................................................... 9 2.1 INTRODUCTION ............................................................................................................................................. 9 2.2 BACKGROUND OF THE SOUTH AFRICAN EDUCATION SYSTEM ...................................................... 9 2.2.1 APPLICATION OF THE SOUTH AFRICAN EDUCATION SYSTEM .................................................................... 9 2.3 THE CONCEPT OF BLENDED TEACHING – LEARNING IN OPERATION ......................................... 12 2.4 BLENDED LEARNING ................................................................................................................................. 14 2.5 THE CONCEPT OF SYNCHRONOUS AND ASYNCHRONOUS BLENDED TEACHING – LEARNING ............................................................................................................................................................................... 16 2.6 THE CHALLENGES OF EXECUTING BLENDED TEACHING APPROACHES TO LEARNING MATHEMATICS .................................................................................................................................................. 17 2.7 IMPLEMENTATION OF BT APPROACHES TO LEARNING MATHEMATICS .................................... 18 2.8 IMPACTFUL LEARNING OF MATHEMATICS ........................................................................................ 18 2.8.1 FACTORS THAT INFLUENCE STUDENT SUCCESS ....................................................................................... 18 2.8.2 BUILDING PARTNERSHIP AMONG THE TIERS OF THE EDUCATION SYSTEM .............................................. 19 2.8.3 ADOPT PUBLIC – PRIVATE SCHOOL TWINNING COLLABORATION ............................................................ 19 ix 2.8.4 SET THE RIGHT METRICS AND MEASUREMENT TO DRIVE INNOVATION FORWARD .................................. 19 2.9 BENEFITS DERIVED FROM BLENDED LEARNING .............................................................................. 20 2.9.1 IT INCREASED ENGAGEMENT EFFICACY BETWEEN LEARNERS AND EDUCATORS .................................... 20 2.9.2 EASE OF USE AND STUDENT SATISFACTION ............................................................................................. 21 2.9.3 FOSTERS STRONG LEARNING INTERACTIONS ........................................................................................... 22 2.9.4 PURSUIT OF PERSONAL LEARNER GROWTH .............................................................................................. 23 2.9.5 INCREASED LEARNER HAPPINESS ............................................................................................................. 23 2.9.6 INCREASED STUDENT AND EDUCATOR SATISFACTION ............................................................................. 24 2.10 THE IMPACT OF METHODS IN BLENDED TEACHING – LEARNING .............................................. 24 2.10.1 LEARNER-CENTRED ................................................................................................................................ 24 2.10.2 PERSONALISED EDUCATION .................................................................................................................... 25 2.10.3 DIGITAL CLASSROOM ............................................................................................................................. 25 2.11 SUMMARY OF CHAPTER 2 ...................................................................................................................... 26 CHAPTER THREE: THEORETICAL FRAMEOWRK ...................................................................................... 27 3.1 INTRODUCTION ........................................................................................................................................... 27 3.2 SOCIAL CONSTRUCTIVIST APPROACH ................................................................................................. 27 3.3 CONSTRUCTIVISM AND CONVERSATION THEORY IN BLENDED TEACHING AND LEARNING ............................................................................................................................................................................... 29 3.4 CONSTRUCTIVISM-BASED BLENDED LEARNING MODEL ............................................................... 30 3.5 APPLYING CONSTRUCTIVIST PERSPECTIVES ..................................................................................... 31 3.6 CONVERSATION THEORY AND BLENDED LEARNING ...................................................................... 32 3.7 IMPLEMENTATION OF THE COMMUNITY OF INQUIRY (COI) MODEL .......................................... 34 3.7.1 COGNITIVE PRESENCE .............................................................................................................................. 35 3.7.2 SOCIAL PRESENCE .................................................................................................................................... 36 3.7.3 TEACHING PRESENCE ................................................................................................................................ 36 3.8 THE COMMUNITY OF INQUIRY MODEL ................................................................................................ 36 3.9 CONCEPTUALISED APPROACHES ........................................................................................................... 38 3.9.1 CONSTRUCTIVIST APPROACH ................................................................................................................... 38 3.9.2 PROJECT-BASED LEARNING ...................................................................................................................... 38 3.9.3 INQUIRY-BASED LEARNING ...................................................................................................................... 39 3.9.4 FLIPPED CLASSROOM LEARNING .............................................................................................................. 39 3.9.5 COOPERATIVE LEARNING ......................................................................................................................... 39 3.10 SUMMARY OF CHAPTER 3 ...................................................................................................................... 40 x CHAPTER FOUR: RESEARCH METHODOLOGY .......................................................................................... 41 4.1 INTRODUCTION ........................................................................................................................................... 41 4.2 RESEARCH STEPS ....................................................................................................................................... 41 4.2.1 STEP 1: SELECT A RESEARCH TOPIC ......................................................................................................... 41 4.2.2 STEP 2: DETERMINE RESEARCH QUESTIONS ............................................................................................. 41 4.2.3 STEP 3: DESIGN THE STUDY ..................................................................................................................... 42 4.2.4 PARADIGM ................................................................................................................................................ 44 4.2.5 STEP 4: COLLECT DATA ............................................................................................................................ 47 4.2.5.1 POPULATION: ......................................................................................................................................... 47 4.2.5.2 SAMPLING .............................................................................................................................................. 47 4.2.5.3 DATA COLLECTION ................................................................................................................................ 48 4.2.4.4 TRUSTWORTHINESS ............................................................................................................................... 52 (A) RIGOUR ........................................................................................................................................................ 52 4.2.4.5 LIMITATIONS AND DELIMITATIONS OF THE STUDY ................................................................................. 52 4.2.4.6 ETHICAL CONSIDERATIONS .................................................................................................................... 53 (A) INFORMED CONSENT .................................................................................................................................... 53 (B) PRINCIPLE OF BENEFICENCE ......................................................................................................................... 54 (C) PRINCIPLE OF NON-MALEFICENCE ................................................................................................................ 54 (D) CONFIDENTIALITY AND ANONYMITY ........................................................................................................... 54 4.2.5 STEP 5: ANALYSE DATA ........................................................................................................................... 54 4.2.6 STEP 6: GENERATE FINDINGS ................................................................................................................... 55 4.2.7 STEP 7: WRITE A RESEARCH REPORT ....................................................................................................... 56 4.3 SUMMARY OF CHAPTER 4 ........................................................................................................................ 56 CHAPTER FIVE: DATA ANALYSIS AND DISCUSSIONS ............................................................................ 57 5.1 INTRODUCTION ........................................................................................................................................... 57 5.2 THE RESEARCH RESULTS ......................................................................................................................... 57 5.3 CHALLENGES THAT NOVICE TEACHERS EXPERIENCE WHEN EXECUTING BLENDED TEACHING .......................................................................................................................................................... 59 5.3.1 LOAD SHEDDING ....................................................................................................................................... 59 5.3.2 LEARNER DISCIPLINE ................................................................................................................................ 60 5.3.3 SUPPORT FROM FACILITATORS/SUBJECT ADVISORS ................................................................................ 62 5.4 HOW TEACHERS CAN USE PERSONAL TEACHING EXPERIENCES IN IMPLEMENTING BLENDED TEACHING APPROACHES TO LEARNING MATHEMATICS. .................................................................... 63 5.4.1 LEARNER-CENTERED APPROACH ............................................................................................................. 63 5.4.2 BENEFITS OF BLENDED TEACHING ........................................................................................................... 64 5.4.3 UNDERSTANDING OF BLENDED TEACHING .............................................................................................. 65 xi 5.4.4 NOVICE TEACHER'S PERCEPTIONS ............................................................................................................ 66 5.5 BLENDED TEACHING TOOLS THAT NOVICE TEACHERS USES TO IMPROVE MATHEMATICS TEACHING AND LEARNING EXPERIENCE. ................................................................................................. 68 BLENDED TEACHING TOOLS .............................................................................................................................. 68 5.6 SOLUTIONS TO THE IDENTIFIED CHALLENGES ................................................................................. 69 5.6.1 IMPROVING NOVICE TEACHERS' EXPERIENCE WHEN EXECUTING BLENDED TEACHING .......................... 69 5.6.2 SUPPORTING NOVICE TEACHERS TO USE PERSONAL TEACHING EXPERIENCES IN IMPLEMENTING BLENDED TEACHING APPROACHES TO LEARNING ............................................................................................................. 70 5.6.3 THE USE OF BLENDED TOOLS BY NOVICE TEACHERS TO IMPROVE MATHEMATICS TEACHING AND LEARNING EXPERIENCE. .................................................................................................................................... 71 5.7 SUMMARY OF CHAPTER 5 ........................................................................................................................ 72 CHAPTER SIX: FINDINGS AND CONCLUSIONS .......................................................................................... 74 6.1 INTRODUCTION ........................................................................................................................................... 74 6.2 AIM OF THE STUDY .................................................................................................................................... 74 6.3 SUMMARY OF THE STUDY ....................................................................................................................... 75 6.4 POSSIBLE SOLUTIONS TO THE CHALLENGES IDENTIFIED .............................................................. 76 6.4.1 CHALLENGES EXPERIENCED BY NOVICE MATHEMATICS TEACHERS WHEN EXECUTING BLENDED TEACHING .......................................................................................................................................................... 76 6.4.2 NOVICE TEACHERS’ PERCEPTION OF THE INFLUENCE OF BT IN LEARNING MATHEMATICS ..................... 77 6.4.3 BLENDED TEACHING TOOLS USED BY NOVICE TEACHERS TO IMPROVE THE LEARNING EXPERIENCE IN MATHEMATICS .................................................................................................................................................. 79 6.5 LIMITATION TO THE STUDY .................................................................................................................... 79 6.6 RECOMMENDATIONS ................................................................................................................................ 80 6.7 SUGGESTIONS FOR FUTURE RESEARCH .............................................................................................. 81 6.8 CONCLUSION ............................................................................................................................................... 82 6.9 SUMMARY .................................................................................................................................................... 82 REFERENCES ...................................................................................................................................................... 83 xii APPENDICES APPENDIX A: ETHICAL CLEARANCE APPROVAL ................................................................................................. 94 APPENDIX B: PERMISSION TO CONDUCT RESEARCH APPROVAL ........................................................................ 95 APPENDIX C: CONSENT TO PARTICIPATE IN SEMI-STRUCTURED INTERVIEWS ................................................... 96 APPENDIX D: CONSENT TO PARTICIPATE IN FOCUS GROUP INTERVIEWS ............................................................ 97 APPENDIX E: SEMI-STRUCTURED SCHEDULE ..................................................................................................... 98 APPENDIX F: FOCUS GROUP INTERVIEW GUIDE ................................................................................................. 99 APPENDIX G: TURNITIN RECEIPT AND REPORT ................................................................................................ 100 List OF TABLES TABLE 2.1: EXAMPLES OF BLENDED LEARNING SYSTEMS ..................................................................................... 11 TABLE 3.1: COMMUNITY OF INQUIRY ESSENTIAL ELEMENTS ................................................................................. 35 TABLE 4.1: STRENGTHS OF FOCUS GROUPS VERSUS IN – DEPTH INTERVIEWS ........................................................ 50 TABLE 5.1: SCHEDULE OF FOCUS GROUP INTERVIEWS ........................................................................................... 58 LIST OF FIGURES FIGURE 3. 1: CONSTRUCTIVIST-BASED BLENDED LEARNING .................................................................................. 31 FIGURE 3. 2: COMMUNITY OF INQUIRY (COI) FRAMEWORK ................................................................................... 34 FIGURE 4. 2: QUALITATIVE RESEARCH DESIGN MODEL TO BE ADOPTED IN THE STUDY .......................................... 51 FIGURE 4. 3: SEDIBENG WEST DISTRICT MAP ........................................................................................................ 53 FIGURE 5. 2: TEACHING AID EXAMPLE DURING LOADSHEDDING ............................................................................ 70 FIGURE 5. 3: AN EXAMPLE OF A GEOGEBRA PRESENTATION .................................................................................. 72 xiii ACCRONYMS/ABBREVIATIONS BT Blended Teaching BL Blended Learning RSA Republic of South Africa DBE Department of Basic Education UFS University of the Free State US United States BL Blended Learning SSVE Shared Simple Virtual Environment ICTs Information and Computers Technologies CAPS Curriculum Assessment and Policy Statement LMSs Learning Management Systems WP6 White Paper 6 CoI Community of Inquiry FLIP Flexible Learning Intentional Professional SWD Sedibeng West District 4IR Fourth Industrial Revolution CAT Computer Applications Technology ATP Annual Teaching Plan 1 CHAPTER ONE: INTRODUCTION AND BAKGROUND 1.1 Introduction and Background Blended teaching (BT) is the amalgamation or blend of modes of web-based experience (technology) (e.g., self-paced education, live online schoolroom, streaming video, audio, cooperative learning, and text) to accomplish an educational goal (Cronje, 2020). It (BT) is more than enhancing novice teachers; it embodies the transformation of how they attempt teaching and learning (Mal & Adhya, 2020). Moreover, it is a complete rethinking and restructuring of the scholastic atmosphere and general learning experience. Mal and Adhya (2020) claim that BT is a logical construct approach that openly evaluates and incorporates the strong points of face-to-face and virtual learning to address meaningful educational objectives. A 2018 study commissioned by the US Department of Education states that BT reduces in- class seat time for students (Becker et al., 2019). The study further highlights that schools must be well-resourced with technology and must have qualified staff for BT to succeed. However, Bates (2018) reveals that in the global South, high schools in countries such as the Republic of South Africa (RSA) face resource challenges, especially in public high schools. This study investigated the perspectives of novice teachers on the impact of BT in Sedibeng West District in the Gauteng Province of RSA. The uniqueness of context in the RSA education system presents an interesting case of the achievement of feasibility in BT (van Deursen & van Dijk, 2019). Anderson, Keturah, and Dieckmann (2018) assert that socioeconomic factors, race, social class, gender, age, geographical area and educational background determine the level of the digital divide within the school setting. Baleni (2015) believes that the causal relationship between socioeconomic factors and learning impacts the BT approach's efficacy in RSA schools. This study acknowledges that technological tools have become accessible to most public schools in Gauteng Province (RSA) through the government's provision of tablets to learners. The tablets are pre-loaded with past examination papers and mathematics applications for students to use at home. This kind of technology presents an opportunity to improve mathematics performance in Grade 12. Through these tablets, Al-Huneidi and Schreurs (2012) highlight that such tools allow teachers to use various means of BT to learn mathematics through social media and networks, such as YouTube, and WhatsApp, among others. Adopting 2 such online tools is already being (formally or informally) implemented in this Province's public schools. Horn and Staker (2017) assert that a complete online learning experience for students comprises non-teaching factors, such as convenience, learner characteristics, and readiness. Convenience is an enormous non-quality factor for students as it allows flexibility and comfort in the study at the convenience of time (Artino, 2010). This learning approach has necessitated embracing online learning, especially during the Covid-19 pandemic. This flipped classroom pedagogical model addresses challenges posed by a teacher-centred approach. A teacher-centred approach attempts to transfer information to students through one-sided downward communication where mostly passive listeners have to individually work without questioning the educator's knowledge (Mulryan-Kyne, 2010). The drawbacks of the traditional teaching approach (using chalkboard, chalk and duster) are the assumption that all learners have shared learning preferences. However, online teaching and learning centres use the learner perspective. Learner characteristics are made more visible in online learning through self-regulation, which positively impacts both receptiveness and readiness for learning. Gwaltney (2017) asserts that the evolving pressures and possibilities of future teachers of the "millennial" generation have coerced the Department of Basic Education (DBE) to change dogmatic teaching strategies. Bates (2018) highlights similar sentiments that traditional face- to-face teaching methods quickly lose practicability in the 21st century. However, it is still Africa's preferred and most widely used teaching approach. It allows educators to teach and directly interact with learners (Anderson, 2016). However, Hlathi (2021) states that face-to-face teaching has run its course and had its successes, but now it faces its prospective demise due to the COVID-19 pandemic and technological advancement. Despite Hlathi's accessions, Bates (2018) emphasises that online learning has educational disadvantages. Furthermore, Bates (2018) believes that online learning with mixed non-quality factors will make it difficult to discern the instructors' contextual roles in quality. It is essential to note that most of the studies cited here have mainly presented the implementation of a flipped classroom without associating its effectiveness with traditional teaching. Previous research has also not considered vital indicators such as students' grades, reflection, teacher observation and peer observation (Nikoubakht & Kiamanesh, 2019). 3 Supporters of the BT approach (Liu & Long, 2014; Nikoubakht & Kiamanesh, 2019) contrast Anderson (2016) on the certainty of the implementation of this approach in RSA schools. The latter scholars contend that face-to-face learning is the fundamental cornerstone of teaching and learning, despite technological advances and demand for the use of e-learning. The previous studies highlight that there exists a puzzle between face-to-face and e-learning. Bates (2018) argues that BT should not be seen as a replacement for face-to-face learning in RSA but as an essential alternative. Moreover, the DBE takes cognizance of the multiple areas of knowledge for collaborative learning in primary education to flourish. Thus, BT is positioned to allow for face-to-face and much broader contexts through online learning, which allows for self-exploration and online collaborative learning (Al-Huneidi & Schreurs, 2012). A more comprehensive repository of learning tools where learners can form meaning using different learning methods allows optimal learning. However, since this study investigates BT, the priority is on teaching processes that position learners at the centre of a fruitful teaching and learning experience. Traditional teaching methods emphasize memorizing information and gaining new knowledge, while blended learning is more concerned with deliberate and active learners' inquisition about information. However, this is not to say that cognitive stimulation does not exist in face-to-face learning (Graham, 2019). Face-to-face learning is still relevant and applicable in the information age to inform and give clear direction to learning in a class. Thus, the e-Education White paper details that 25,582 and less than 5% of these schools can afford internet connections for integrating the internet for teaching, learning, communication, and collaboration. The report states that all novice teachers have used extensive technological applications, mainly structured learning approaches. However, the White paper (2019) highlights that novice teachers lack proper guidance and support to infuse technology and face- to-face interchangeably effectively. Unfortunately, poor performance in grade 12 Mathematics continues unabated. 1.2 Research Problem Blended Teaching (BT) incorporates face-to-face and online classroom learning to develop extensive skills and knowledge transferrable to the workplace (Lowe, 2019). Anderson (2016) 4 and Mpungose (2020) highlight that BT could solve some of the current teaching problems and address the educational backlog during Covid-19 challenges. However, this is far from the truth, as due to socioeconomic disparities and related issues, the dropout rate has seen an exponential escalation since 2020 (Manca, 2020). The ominous pressure is therefore put on novice teachers who happened to teach mathematics in Grade 12 to ensure blended teaching is a success. Novice teachers are confronted with the unrealistic responsibilities of making BT a success, despite the lack of adequate resources from the DBE and unclear policy directives regarding blended teaching. Furthermore, Mavani (2016) maintains that the DBE's technology equipment, such as computers and tablets, is under-utilised due to many teachers not being sufficiently equipped to use this technology in the classroom effectively. Studies on BT exist but studies on the impact of BT by novice teachers on learning mathematics are limited. It is against the backdrop, this study investigated the impact of BT by novice teachers on learning mathematics, despite inadequate but essential hardware and software resources. 1.3 Research Question Guided by the purpose statement provided above, the study investigated the research question below: What are the selected novice teachers' perspectives on the impact of blended teaching on learning mathematics? 1.3.1 SUB RESEARCH QUESTIONS 1. What are some of the challenges that novice mathematics teachers experience when executing blended teaching? 2. How do novice teachers perceive the influence of BT on learning mathematics? 3. What BT tools can selected novice teachers use to improve the learning experience in Mathematics? 1.4 Primary Aim To probe selected novice teachers' perspectives on using the blended teaching approach in learning Mathematics. 5 1.5 Research Objectives • To examine some challenges that novice mathematics teachers experience when executing blended teaching. ● To describe how selected novice teachers’ perceive the influence of BT on learning mathematics. ● To ascertain which BT tools used by novice teachers could improve mathematics teaching and learning experience. 1.6 Research Methodology 1.6.1 QUALITATIVE RESEARCH METHOD Qualitative research encompasses gathering and analysing non-numerical data (e.g., text, video, or audio) to understand concepts, opinions, or practices (Bhandari, 2020). It (qualitative research) is an approach that allows the researcher to assess people's experiences by using a specific set of methods, such as in-depth interviews, focus group discussions, observations and life histories (Hennik et al., 2020). This study adopted a qualitative research approach aimed at understanding the participants' views, beliefs, and perceptions (Hennik et al., 2020). Cohen et al. (2019) assert that qualitative research focuses on the attitude toward understanding experiences and their interpretations by humans. The researcher focused on novice teachers' experiences using the BT approach in teaching and learning mathematics. This study was framed mainly within an interpretive paradigm that strengthened its nature as a qualitative study. Central to this paradigm is obtaining more profound insight into the subjective world of human experience (Cohen, et al., 2019). 1.6.2 RESEARCH DESIGN Research design is a coherent plan for obtaining answers to a set of questions to be tackled and completed through the gathering and analyses of relevant data (Yin, 2018). The design allowed researchers to improve on research techniques proper for the subject matter and set their studies up for accomplishment. The design of a study topic expounds the kind of research (experimental, survey, descriptive case study) it embodies in a particular research. This study 6 followed a case study design. Therefore, this approach in this research aided the study in gaining an in-depth understanding of how novice teachers understand and use a BT approach in learning Mathematics. 1.6.3 DATA COLLECTION Since this study is qualitative, the researcher used focus groups and semi-structured interviews to collect data and to establish a protocol for recording information (Creswell, 2017). Thus, developing interview procedures. The researcher used a semi-structured, face-to-face interview guide that involved open-ended questions to prompt the participants' opinions on the integration and collaboration of BT in teaching mathematics. DeJonckheere and Vaughn, (2019) asserts that semi-structured, in-depth interviews are generally used in qualitative research and are the most common qualitative data source in a study. The researcher personally conducted interviews that lasted between 15 and 60 minutes and recorded, with the approval of the individual participant. The aim was to collect data from a purposively selected group of participants instead of a statistically represented sample of a broader population (O.Nyumba et al., 2018). 1.6.4 RESEARCH POPULATION The research population is a comprehensive group of individuals, institutions, and objects, among other things, with common characteristics that interest a researcher (Creswell & Creswell, 2018). The typical features of the groups distinguish them from other individuals, institutions, and objects, among other things. In this study, the research population was all novice educators teaching mathematics at the Sedibeng West District. 1.6.5 PURPOSIVE SAMPLING Purposive sampling is a technique in which the researcher relies on his decision when selecting members of a population to participate in the study (Saunders, Lewis & Thornhill, 2019). Purposive sampling enabled researchers to extract much information from the data collected. Thus, researchers could describe their findings' significant impact on the population. Purposive sample, also identified as judgmental, selective, or subjective sample, is a form of non- 7 probability sample in which the researcher depends on their decision when selecting members of the populace to partake in their research (Dejonckheere & Vaughn, 2019). The sampled participants for this study were eight (8) novice teachers at Sedibeng West District in Gauteng Province. 1.6.6 DATA ANALYSIS, INTERPRETATION, REPORTING AND QUALITY ASSURANCE Data is analysed and reported either a quantitatively or qualitatively (Schunk, 2012). In qualitative studies, data analysis is the organisation and preparation of data, interpretation through the data, coding all data, and generating and representing the description and themes (Creswell & Creswell, 2018; Cohen et al., 2019). The researcher used thematic analysis in the study since most of the data collected was qualitative. Thematic analysis is the foundational method for qualitative analysis, as it provides core skills for conducting many forms of qualitative analysis (Nowell, Norris, White & Moules, 2017). Thematic analysis approach validated the responses from 8 selected participants in this investigated research study's content. This sample size is adequate for a qualitative study where a large amount of data is collected. This sample size ensured the right amount of data was collected, which did not overwhelm the data analysis process. 1.7 Value of The Study This study strengthens the integration and collaboration among the role players of teacher development within the department. The provincial government departments may benefit from this study by seeing the need for resourcing, human resources, infrastructure, and materials and support services. 1.8 Ethical Considerations The researcher applied to the University of the Free State (UFS) ethical clearance and the study complied with all the ethical clearance prescripts. The study was then granted the ethical clearance number UFS-HSD2022/0035/22 and ethical clearance was granted (see attached Appendix A). 8 1.9 Chapters Outline Chapter 1: Introduction and background of the study: This chapter highlights the international, national literature as the background to the study. Furthermore, problem statement, research questions, methodology are also highlighted. Chapter 2: Literature review: The chapter reviews literature that guides this study. The literature that guides this study seeks to answer the research questions that emanate from the main research question of the study. Chapter 3: Theoretical framework: This chapter focuses on the theoretical framework informing the study. The theoretical framework focuses on constructivism. Chapter 4: Research methodology and design: This chapter presents research methods, design, data analysis, target population, the sample of the study, and trustworthiness, the second section discusses research methods and techniques used for data collection and the third section discusses ethical considerations. Chapter 5: Data analysis and discussions: This chapter outlines the findings of the study. Presentations and analysis are based on the raw data (results) from the field study and compared with all sections of the study, specifically the literature review chapter, to ensure comparative viability, topicality, and relevance. The chapter analyses and reviews the findings with particular reference to the research objectives and questions. Chapter Six: Findings and conclusions: The findings of the study, recommendations and conclusion are discussed in this study. 1.10 Summary Blended Teaching (BT) is crucial for novice teachers in teaching of mathematics at both macro and micro level. In this chapter, a general overview of the study is outlined. This includes the background, problem statement, research questions, purpose and objectives of the research, methodology, value of the study and ethical considerations. In addition, this chapter touched on literatures’ large scale, thus, the effects of the flipped classroom to promote constructivism and active and personalised learning in class need further investigation. The chapter that follows presents the study’s literature review. 9 CHAPTER TWO: LITERATURE REVIEW 2.1 Introduction Background information set the tone for this study in the previous chapter. This chapter discusses the relevant literature guiding the study. The literature sought to answer the following research questions: What are some of the challenges that novice mathematics teachers experience when executing blended teaching?, How do novice teachers perceive the influence of BT on learning mathematics? and What BT tools can novice teachers use to improve the learning experience in Mathematics? Thus, this chapter provides an account of the literature reviewed on the perspectives of novice teachers about the impact of blended teaching on the learning of mathematics. 2.2 Background of the South African Education System 2.2.1 APPLICATION OF THE SOUTH AFRICAN EDUCATION SYSTEM Since 1994, South Africa's education system has experienced significant modifications. Recently, there has been a growing desire for schools to provide equitable opportunities for all students. (Murungi, 2015, p. 3168) Attest that inclusive education presumes that all education of children can think regardless of having access to a meaningful curriculum and outcomes. Implications are that instructors (novice teachers) must study and implement various teaching approaches (blended teaching) and abilities to satisfy their learners' demands. However, the DBE (2018) reveals that RSA learners struggle in mathematics due to their poor background. Hlathi (2021) further highlights concerns over the performance of the 2020 matric class in mathematics. Further, RSA saw a decline from 54.6% in 2019 to 53.8% in 2020. Mathematics has always been a significant concern, as problem-solving in formal assessment has hovered around 30 % in the last ten years (DBE, 2018). Hence, it is essential to naturally question whether accessible and cheap technologies can contribute to addressing the poor quality of the teaching and learning of Mathematics (Padayachee, Boshof, Olivier & Harding, 2011). Thus, South Africa's approach to inclusive education White Paper 6 (WP 6) seeks to explain a South African model of inclusion that accommodates resource limitations (Murungi, 2015). Moreover, there is country-provided education. Furthermore, (Murungi, 2015) asserts that WP 10 6, inclusive education, accepts all learners with learning needs, respects diversity in learning spaces and conditions, and acknowledges that all learners can learn if given support. The inclusive classroom with blended teaching might enable and provide independent individual and cooperative group work. Flipped classrooms, mobile devices via ubiquitous Wi-Fi, e-mentoring programs, tutorials, assistance for multilingualism, and learning analytics are all examples of innovative blended learning practices used in South African schools (Bertrand, 2018). Blended learning has become the standard at many schools. Because the usage of blended learning apps varies extremely context-specific within each school, it is hard to offer an entire list of all applications (Barrie, 2015). In terms of institutional growth, access to resources, discipline, group belonging, and individual motivation, it is imperative to emphasize the contextuality of new technologies. The list of possible methodology implementation in the classroom: • Taking a test online (Google form test) is an excellent technique to evaluate learner proficiency. Furthermore, the automated marking, monitoring, and reporting scores simplify the complications of managing big groups of students (Lester, 2020). However, ensuring that the questions asked measure higher-order thinking skills is essential. It is also an approach that necessitates using a learning management system (LMS) with a quiz tool or a specialized computer-based testing application. • High school libraries can collaborate to load resource pages published. Thus, this could lead learners to internet resources that go further into specific themes. As a result, they are less reliant on conventional single sources of knowledge, such as textbooks. Many open educational tools, such as animations, movies, and other media, are also available to help them expand their knowledge. • Introducing online mentors or coaches is a terrific approach to enhancing the learning experience. Outside the classroom, online mentoring and coaching give support and direction to students. • Underestimation of email messaging, although it is one of the most effective methods to extend the learning experience (Lester, 2020). The utilization of distribution lists, 11 task management, attachments, and scheduling features offers learners a comprehensive platform for interacting with educators. Table 2.1: Examples of Blended Learning Systems CATEGORY BLENDED TEACHING TOOL USE Cloud storage Drop Box Google Drive Host course content and share files Social media tools and networks Schoology – social network for learning Facebook, WhatsApp, and Twitter Group Discussions, Uploading information, reflection Video and audio creation VoiceThread, Show the researcher PowerPoint, animated slideshows, Edu creation, Flicker. Produce instructional videos and podcasts. Record a presentation, voice, and audio Record a whiteboard Record a slideshow Existing video platforms YouTube Education TED Khan Academy Academic Earth Provide videos on a large variety of topics Collaborations Google docs, Skype, Zoom, MindMeister Work together to create and edit documents. Communicate online Share files Live chat feature. Video and web conferencing Blackboard Collaborate, Skype Pal Bee, Scribbler, Twiddle, Big Marker Bring human resources into the class discussions. Source: Adopted from Zinovieva et al. (2021) The results of blended learning research and various uses of BL tools question the usage of these blended learning tools to promote success among low-performing South African grade 12 learners. Specifically, to address the key factors that influence learner success, arising. This study cannot cover all of the indicated success characteristics; thus, it concentrated on a select handful and accommodated within the teaching and learning environment of accounting education in a developing nation. 12 Underperformance frequently indicates the detrimental impact of educational deficiencies rather than a learner's capacity to thrive in higher education, especially in South Africa, which has a history of uneven schooling. As a result, this paper focuses on the success elements that educators and learners in developing nations consider crucial. In research on distance learning for Accounting Honours students by Chaves (2019), the students ranked the following characteristics in importance: timely and regular test preparation, logical thinking, consistent effort, and promising examination approaches. Low-class attendance, a lack of accounting expertise, insufficient time, and a lack of English education as the vital contributing variables that contribute to poor student performance, according to Zhu, Struyven, and Blieck (2017) in similar research on learner performance factors. Another difficulty for higher education is that employer expectations have shifted significantly over time, and students do not always live up to them. Employers want learners to have problem-solving abilities, real-world business experience, and fundamental skills, according to Kavanagh and Drennan (2008). Polyacskó (2009) also discovered that language proficiency, the capacity to apply information in practice, and individual drive are the abilities that many learners lack. Furthermore, their drive and devotion appear dubious, affecting their attitude toward their employment. Polyacskó (2009) mentioned the relationship between motivation and mood. The chapter that follows is on this study’s theoretical framework. 2.3 The Concept of Blended Teaching – Learning in Operation Blended Teaching (BT) is a new phenomenon that has seen its rise in being adopted even by the most underprivileged states in sub-Saharan Africa (Bates, 2018). The global pandemic outbreak has further escalated the suggestion of new approaches such as (BT) of content delivery (teaching and learning processes) and implementation (Cahapay, 2020). This implementation benefits educators and learners through its minimal physical interaction. The portrayed (BT) is a teaching approach that combines teaching space (classroom) and blended practice (Cahapay, 2020), whereas BT is a teaching and learning approach that amalgamates web-based teaching and face-to-face classroom collaborations (Sahni, 2019). Similarly, Garrison and Kanuka (2014) define blended teaching as a collaboration of traditional face-to- face learning with virtual (online) experiences. 13 Moreover, the use of BT tools (mobile technologies) such as smartphones and tablets, in teaching and learning mathematics, is escalating interest among scholars and practitioners (Borba et al., 2017). Thus, Borba et al. (2017) contend that the attributes of mobile devices (portability, availability, access to the Internet), including their broad recognition among the youth and others, have made portable devices capable of growing the limits of mathematics instruction and learning beyond the four walls of the teaching space (classroom). Furthermore, the BT approach allows learners time to introspect and self-study to take responsibility for their studies. However, the pronunciation of BT is in developed nations such as the United States (US) and the European Union (EU) where learner resources are abundant in public or private schools. Thus, Sweden, Singapore and Norway have transcended the US in Mathematics and Sciences primarily because of their transformed education system (Deschacht & Goeman, 2015). Blended teaching has seen East European countries taking quantum leaps in developing their economies because they have effectively adopted BT. Bates (2018) claims there is no recognisable move from traditional face-to-face teaching and learning towards BT in the Sub- Sahara. Furthermore, Garrison and Kanuka (2014) distinguish blended learning from that enhanced classroom or fully online learning experiences; although they recognized that the boundaries between these concepts are unclear. In this study, blended teaching-learning is the collaboration of face–to–face teaching with online teaching tools (such as smartboards, projectors, WhatsApp platforms, online broadcasting classes, et cetera) by selected novice teachers in the learning of mathematics. Thus, the teaching strategy (BT) comprises two components viz: face-to-face learning and electronic learning (e-learning) (Graham, 2016). However, there is a minimal face-to-face interaction due to content delivery (discussions) that are predominantly virtual (Smith et al., 2015). Hence, there is a suggestion that the amount of online delivered content should be between 30 to 70 % in the blended learning approach (Smith et al., 2015). Moreover, there are several different methods for calculating the needed amount of face-to-face and online teaching and learning. 14 For inclusion in a meta-analysis of blended learning, Deschacht and Goeman (2015) suggested allocating 50% of total course time to face-to-face learning. Moreover, Garrison and Kanuka (2014) acknowledged the incredible complexity of blended learning since no two blended learning designs are identical. They suggested that blended learning should be face-to-face, and online learning should be integrated and done so thoughtfully. However, it is often unclear what these benefits are; for example, Zacharis (2015) proposed that blended learning could support learning beyond the classroom. Therefore, since learners and teachers have limited time in the classroom, online classes may continue to complement classroom shortfalls through discussion boards and other media. Watson (2018) updated institutions' blended learning definitions, which generally required about 50% of compulsory online teaching. Diep, Zhu, Struyven, and Blieck (2017) investigated two blended learning models, one with 25% face-to-face instruction and the other with 50% online instruction. In addition, there are more particular examples in the literature. Similarly (Tan & Hew, 2016) provide an example to prepare students for face-to-face activities. These include the flipped classroom approach, where learners can access e-learning materials such as video lectures at home so that in-class face-to-face time is used for discussions on the subject and for carrying out student-centered group work. 2.4 Blended Learning The literature review indicates that scholars have a deficit of accord in defining the concept of blended learning as it has discrete interpretations by researchers (Sahni, 2019). However, Garrison and Kanuka (2014) define blended learning as the reflective incorporation of classroom face–to–face learning integration of classroom face-to-face learning capabilities with online capabilities. Similarly, the most often used definition of blended learning combines previously separate teaching and learning approaches. The teaching strategy comprises two components: 1) traditional face-to-face learning; and 2) electronic learning (e-learning) (Graham, 2016). Thus, Blended learning (BL) is a broad concept that intertwines various facets, such as delivery media, which combines face-to-face and online instruction (Graham, 2016). Moreover, students' desire to learn might be internal or external. Similarly, according to Garrison and Vaughan (2018), intrinsic motivation comes from inside, i.e., pupils who want to study because they desire to do so. In contrast, extrinsic motivation refers to external elements 15 that encourage students to learn without relying on the instructor (Garrison et al., 2018). According to Graham (2019), there are three forms of instruction: mass instruction, customised instruction, and group instruction. The number of pupils determines the three categories, and each group requires a distinct delivery approach (Niekerk & Webb, 2016). Thus, the practical nature of the Shared Simple Virtual Environment (SSVE) on the other hand, necessitates involving the students and making teaching and learning an interactive process between the teacher and the students. As a result, the teacher is responsible for selecting the most appropriate teaching technique or approaches to fulfil the needs of the pupils. In an ideal world, various teaching approaches should be used in each class so all students can participate (Tan & Hew , 2016). Moreover, the most crucial factor here is to establish an in-class climate that encourages students to engage, voice their ideas without fear of being judged, ask questions, and practice what has been taught before without fear of failing (Driscoll, 2017). Hence, it is astonishing how many missed genuine learning opportunities and events because students fear judgment if they seek further information. Graham (2016) argues that although the first two places resonate with the fascination with the inspiration of media and learning methods, these positions describe BL so broadly that they would similarly include all learning systems. However, this definition could be interpreted quite broadly by the combination of different styles in education that blends some aspects of face-to-face or computer-mediated instructional modes. Blended learning means other things to different people who demonstrate the untapped potential of blended learning, as alluded to by (Driscoll, 2012). Contrary, Oliver and Trigwell (2015) argue that there is ambiguity in the definition of blended learning, which makes it problematic to adopt a standard definition for scholars. Many universities or schools have adopted a fused learning management system. They postulate whether such teaching and learning contexts could be labelled as blended learning as it has become the conventional education of our time. Diep, Zhu, Struyven and Blieck (2017) aver that in another research, it transpired that amongst 612 modules delivered on campus were modules categorised as blended learning courses. The blended learning courses are organised (based on their minimal usage) as blended learning management systems (Diep et al., 2017). 16 Depending on the success criteria that help them, blended teaching and learning innovations evolve differently in different settings. In this study, the link between BT and BL is phenomenal such that the perceptions of selected novice teachers could be implemented as they (selected novice teachers) use BT tools when teaching mathematics learners in the classroom – thus creating an environment that is user friendly in this Fourth Industrial Revolution Era. 2.5 The Concept of Synchronous and Asynchronous Blended Teaching – Learning The synchronous conception of blended learning emphasises real-time teaching and learning that includes on-campus and online learners. In synchronous learning, remote students participate in face-to-face sessions using synchronous technologies such as web and video conferencing (Cross, 2016). This approach uses various techniques to aid problem-solving, learner engagement, debates and collaboration (Canning, 2020). This conceptualization entails unpredictable amounts of technological complexities such as the invitation of learners to participate in pre-scheduled classes via Zoom and Skype, all of which are accessible through laptops (Cunningham, 2014). Blended teaching is a perception that comprises outlining instruction acquiring method, incorporating both face-to-face teaching and teaching advocated by Information and Computers Technology (ICT). It integrates direct teaching, indirect teaching, collaborative instruction and individualised technology-assisted learning (Lalima & Dangwal, 2017). Thus, the teaching methods used by selected novice teachers, embrace both the online and the face- to-face interaction in a collaborative manner. However, asynchronous learning is an option for learners to take part in learning at their preferred times (Chirinda et al., 2021). This participation uses neither conversation boards for asynchronous learning nor digital tools such as WhatsApp. Gómez et al. (2021) aver that asynchronous learning platforms were prevalent in a JIMplus study conducted in Germany. Thus, the prevalence of asynchronous learning has been confirmed by a survey of 171 German mathematics teachers, which resulted in 42% of students who had an in-person interaction with their mathematics teachers for less than one month, once or never (Gómez Chova et al., 2021). 17 2.6 The Challenges of Executing Blended Teaching Approaches to Learning Mathematics The Covid-19 pandemic was declared a national disaster by the President of the Republic of South Africa on 11 March 2020. Hence, the South African government, led by the Minister of Basic Education, emphasised rescuing the school year. Teachers were encouraged to employ blended teaching approaches to save the academic year (Chirinda et al., 2021). Similarly, Basilaia and Kvavadze (2020) and Taha, Abdalla, Wadi and Khalafalla (2020) aver that online learning in a Covid-19 pandemic could be an alternative solution. Thus, this could anticipate that blended teaching in mathematics learning might be the solution for remote teaching. However, Chirinda et al. (2021) assert that teachers had to experience the new normal for the first time as the resources, knowledge, or support were insufficient. Furthermore, this unprecedented situation resulted in teachers adapting their teaching, thus changing their teaching methods. Irfan et al. (2020) affirm that implementing online learning has its benefits and challenges. The drawback is that it has a potential for plagiarism behaviour and internet signal strength, including devices that support it (Arkorful & Abaidoo; 2015; Irfan, 2015; Irfan et al., 2020). Thus this could confirm the notion that the load shedding we have that results in poor network signal could negatively impact blended teaching in mathematics learning. Furthermore, the growth that took place in the 21st Century is a hindrance for novice teachers as content instructors, especially in executing learning by incorporating technology (Yustina et al., 2020). In CoSN 2020, shifting the school system to a remote knowledge acquisition environment is not just a technological obstruction. Instead, this is a didactic and instructional hindrance (Yustina et al., 2020). Technology is a means of provision. Moreover, Yustina et al. (2020) assert that the challenged novice teachers require invention and adaptiveness in the sense of adjusting to the demands of the development of mathematics, science, and technology. This follows the goal of learning invention to maximize creative skills. Furthermore, the growth that took place in the 21st Century is a hindrance for novice teachers as content instructors, especially in executing learning by incorporating technology (Yustina et al., 2020). In CoSN 2020, shifting the school system to a remote knowledge acquisition 18 environment is not just a technological obstruction. Instead, this is a didactic and instructional hindrance (Yustina et al., 2020). Technology is a means of provision. Moreover, Yustina et al. (2020) assert that the challenged novice teachers require invention and adaptiveness in the sense of adjusting to the demands of the development of mathematics, science, and technology. This follows the goal of learning invention to maximize creative skills. 2.7 Implementation of BT Approaches to Learning Mathematics A teaching and learning experience that is guided by a novice teacher, that takes place in the virtual space (over the Internet), is one where all learners contribute in the understanding at the same time, and where the understanding comprises two-way interaction between learner and learner or learner and novice teacher (Wu & You, 2022). Contrary to that, teachers would like their pupils actively participate in the learning process (van Niekerk & Webb, 2016). van Niekerk and Webb (2016) aver that controlling learners' conduct on the other hand, is a top priority. One advantage is that behavioural issues are usually easier to manage in this setting. Another advantage is that because the instructor oversees everything in the classroom, it is unusual for students to miss a topic (Staker & Horn , 2012). Despite its benefits, the teacher- centred method has several drawbacks. Most significantly, youngsters cannot reap the social benefits in other ways. 2.8 Impactful Learning of Mathematics 2.8.1 FACTORS THAT INFLUENCE STUDENT SUCCESS Al-Ani (2013) posits a favourable association between learner accomplishment and learning motivation when adopting blended learning - following the educator's notes and undertaking additional reading. Blended learning methodologies help them retain a good attitude toward their study. Students are more inspired and encouraged to study, according to Malinina (2013), when web-related technology allows them to personalise their studies (for example, students can learn at their speed, whenever and wherever they choose). In addition to the aforementioned, Activities that are more relevant to the actual world, according to Malinina (2013), provide additional motivation for pupils to study. 19 2.8.2 BUILDING PARTNERSHIP AMONG THE TIERS OF THE EDUCATION SYSTEM Efforts in blended teaching and learning, or even to get started using technology, should be integrated across the levels of the education system. Teachers and school leaders should be trained to leverage technology effectively to help students learn (Diep, et al., 2017). Contrary, as some case studies demonstrate, one innovative educator at a school can spark significant change. However, to scale, schools will need more people and centralized support structures to guide the effort (Kuhn, 1962). Still, this will require supporting those early-stage innovators who tend to operate in a siloed manner. One of the most significant challenges to effectively implementing blended learning is teachers feeling isolated in their efforts. Instructors generally prefer to use the "chalk and talk" technique and, most importantly, do not take advantage of the technology and equipment available. 2.8.3 ADOPT PUBLIC – PRIVATE SCHOOL TWINNING COLLABORATION The DBE's reduced expenditures could link regional or national initiatives (Kane & Alavi, 2017). Many budgetary challenges affect schools nationwide regarding boosting technology use and digital learning. Deschacht and Goeman (2015) believe schools might help one other in light of these common issues, mainly through cross-school and cross-sector (public and private) cooperation. For example, Hatfield Christian School, a private school in Gauteng, developed an online curriculum eight years ago and has since worked with over 50 underprivileged public schools around South Africa to assist them in implementing their digital courses (Headmaster, 2018). Hatfield works with each school for three years to facilitate a seamless transition and to track kids' progress over time (Headmaster, 2018). There is no charge for public schools for this collaboration in digital learning integration. Partnerships like this have the potential to provide schools with economies of scale as they begin to integrate digital, CAPS-aligned learning into their models. 2.8.4 SET THE RIGHT METRICS AND MEASUREMENT TO DRIVE INNOVATION FORWARD A crucial first step in any technology-based or blended-learning program is determining the appropriate Key Performance Indicators (Graham, 2016). Given the prevailing perspectives 20 from educators to get to the unknown of whether technology is delivering the desired benefits, schools should start implementing interim success measures that assess a program's effectiveness regularly. For example, at the Future Nation private school network in Gauteng, the leadership built a feedback channel for instructors to review how technology functions for them and their pupils (Driscoll, 2017). The school as a community is creating a network of practice that is constantly measuring the success of the blended learning program and tweaking the model in circumstances where it is not succeeding by inviting teachers to participate in critiquing and deciding which digital learning programs work best and why. It is important to note that these indicators will likely change based on the specific problems a school or instructor is attempting to tackle using technology. Interim measurements may include reports of improved student engagement or time on the task at one school combating behaviour difficulties. At another school attempting to transform adult perspectives, these metrics might include educator or parent satisfaction. 2.9 Benefits Derived from Blended Learning 2.9.1 IT INCREASED ENGAGEMENT EFFICACY BETWEEN LEARNERS AND EDUCATORS The higher education business benefits greatly if its growing presence in the electronic world is fully realized (Deschacht & Goeman, 2015; Graham, 2019). Through collaboration, virtual communities, instant messaging, and blogging, the transformation of learning focus on increasing the degree of interaction between human and technology-based assistance. The goal of learning transformation is to make higher education more valuable daily. The fundamental goal of blended learning is to incorporate delivery experiences that give the most efficient and practical training and open communication for teaching and learning. The blended learning method promotes a connection between teacher and student that strikes a balance between a steady coherent impact and unlimited access to knowledge on the Internet (Garrison & Kanuka , 2014). When researchers understand blended learning well, the next natural step is to see how successful it is for the recipients. Furthermore, Garrison and Kanuka (2014) aver that Blended learning's key purpose is to inculcate a teaching experience that affords the most efficient and effective teaching and 21 effective in creating open communique for teaching and learning. The blended learning approach encourages communication between instructor and learners that balances stable, cohesive influence and limitless access to information on the Internet (Naaj et al., 2012; Garrison & Kanuka, 2004). As researchers understand the definition of blended learning, the following logical chronology is to determine the effectiveness of blended learning for the recipients. 2.9.2 EASE OF USE AND STUDENT SATISFACTION The blended learning benefits represented might differ depending on the institutional environment and the conceptual frameworks utilized. Blended learning, for example, offers learners access to flexible learning settings and allows them to voice their ideas, build learning communities, use a range of learning techniques, and repeat and reinforce learning (Angrist, 2019). Students who need to enhance an essential ability like reading or numeracy. Teachers not providing them enrolled program's curriculum can use adaptive learning programs to study and practice independently and at speed until they reach the requisite standard. Adaptive learning systems and platforms, with their robust feedback loops, may be employed in diverse learning settings to provide more personalization. According to Gedik et al. (2012), interaction with learners in big classrooms is a benefit of blended learning for lecturers. LMSs could help lecturers better manage their teaching environments by collecting assignments and automatically marking quizzes. Thus, providing immediate feedback, using an integrated grading system, tracking progress, and setting up early intervention warning systems to reduce student dropout risk. Time management, increased workload, cultural and psychological obstacles, such as familial and job obligations, and, probably most crucially and plainly, technological impediments are some of the critical problems blended learning brings students, according to Gedik et al. (2012). It is plausible to argue that similar issues might apply to educators' blended learning experiences. 22 Almusharraf and Khahro (2020) contend that blended teaching tools are crucial in increasing and making the environment conducive for online education, thus inspiring analytical thinking in cooperative interaction with learners. Whereas Wang (2003) discovered that student satisfaction and blended learning determine the amount of enjoyment and effectiveness of the student's educational experiences in any higher education institution. Sher (2009) studied students' satisfaction levels with various components of e-learning courses and discovered that students with greater levels of satisfaction had significantly higher levels of learning than those with low levels of satisfaction. Owston, York, and Murtha (2013) investigated the mix of face-to-face and online learning settings used to provide blended learning to understand better the processes of student satisfaction with blended learning and its consequences. According to their findings, students gain more temporal and spatial flexibility during classes, broader and easier access to materials utilized in the learning process, and a better level of autonomy to control their learning process. 2.9.3 FOSTERS STRONG LEARNING INTERACTIONS Furthermore, participating in face-to-face interactive activities helps students to engage with their peers and create close links (such as friendships), fostering and creating strong learning interactions outside of the classroom (Callopy & Arnold, 2009). As a result, Wu et al. (2009) think that three crucial factors influence student learning satisfaction: (1) perceived ease of use, (2) perceived value, and (3) learning environment. They also suggested that a blended learning system provides an environment conducive to social contact and that the teacher encourages good interaction publicity. Defining what "perceived ease of use" means in this context is essential. The phrase perceived ease of use, as defined by Wu and Liu (2013), relates to the degree to which students believe that participating in blended learning saves time and effort. In the context of blended learning, Joo, Lim, and Kim (2011) defined perceived ease of use as the degree to which a person feels that utilizing a specific interface and content delivery will be simple. Several studies have examined the impact of perceived utility and satisfaction on undergraduate students' intentions to use Internet-based learning tools, according to Sahin and Shelley (2008). There is proof that users who consider reusing e-learning tools are those who believe the products are beneficial and straightforward to use. 23 These people have increased their usage of the e-learning tool and have a favourable outlook on the intervention (Joo et al. 2011). Thus, this suggests that distance education teachers should highlight students' preparedness to employ a range of learning tools as well as raise knowledge of the advantages of online learning. As a result, research demonstrates that well-designed and properly implemented online learning environments are required to satisfy students' requirements and expectations (Sahin & Shelley, 2008). Furthermore, Wu and Liu (2013) discovered that perceived ease of use links to student happiness. 2.9.4 PURSUIT OF PERSONAL LEARNER GROWTH Borstorff and Lowe (2007) observed that e-learning allows students at higher education institutions to get their education while pursuing their objectives and maintaining their professions to assess the impact of perceived value on student happiness. Students can attain personal and professional goals without attending classes or adhering to a strict schedule. A study by Entmer et al. (2008) discovered that when instructors play an essential role in increasing students' motivation, students' perceived value of their online learning conversation rose, prompting them to participate actively and engage. In their exciting analysis of students' perceived value, Entmer et al. (2008) identify that online discussions increase when students perceive content as relevant, engaging, and enjoyable. 2.9.5 INCREASED LEARNER HAPPINESS The happiness of learners within and without school sets a trajectory for the learner's life. Learning should go beyond increasing learner performance; it should also promote contentment. Student happiness and the learning environment Extending education, such as life-long learning and learning-on-demand paradigms, has become increasingly significant as worldwide collaboration in education has expanded. For the expanded education landscape, a flexible blended learning environment is becoming more needed (Wei & Chen, 2008). Laumakis, Graham, and Dziuban (2019) allude that there is a growing amount of literature on the factors contributing to the classroom atmosphere and learning effectiveness. The challenges include individual educators' perceptions, which emerged in recent years, focusing on the crucial role educators play in developing a classroom atmosphere with the effectiveness of learning. Students are more supportive of new and provisionally-registered teachers in open 24 learning settings. Because seasoned professionals are to their left and right in the classroom, more experienced colleagues can monitor, assist, and applaud instructors' success. Continuing low-level mentoring can be easily implemented (Osborned, 2013). Similarly, Sher (2009) believes that a positive learning environment promotes shared learning experiences, fosters student community, and promotes cooperation. Thus, Walker and Fraser (2005) concur with this view, mentioning that although classroom learning environments could improve learner outcomes, education stakeholders and scholars should initially develop a model to measure the learning environment before effecting changes that could enhance the effectiveness of the education system. Trust and collaboration between learners, according to Tennyson (2010), fosters and stimulates a good learning atmosphere that facilitates the interchange of ideas, views, information, and other resources (Norton, 2015) 2.9.6 INCREASED STUDENT AND EDUCATOR SATISFACTION According to Sher (2009), student-instructor interaction relates to the instructor's delivery of knowledge, encouragement, and feedback to students. According to Chyung (2018), interaction in an online or face-to-face course investigated learning for various reasons, including the vitality of a discussion, students' willingness to share ideas, participation in collaborative activities, and group projects, all of which contribute to productive learning environments. Concurrent or intermittent delivery of instruction and communication between instructors and students is carried out (Her Wu et al., 2008). Educators who encourage learners to participate actively in class discussions; offer comments on learners' work and tell them of their progress regularly; and treat them as people who are more satisfied (Sher, 2009). Learners believe that interactions with educators are essential in an educational setting, according to Chaves (2019), as they are experts. 2.10 The Impact of Methods in Blended Teaching – Learning 2.10.1 LEARNER-CENTRED BT has been an effective tool for teaching and learning (Ahmadi, 2018). Furthermore, Ahmadi (2018) attests that this is a crucial section of the novice teachers’ profession through which they could use technology to enable learners' learning. This technology integration, such as the BT approach, could facilitate the entire learning process. However, increasing evidence demonstrates the efficiency of this active – learning symbolized by using the BT approaches 25 (Persky & McLaughlin, 2017). Generally, Persky & McLaughlin (2017) aver that this evidence suggests that the use of sound–designed BT approaches activate active learning that could foster higher–order thinking skills, collaborative skills, and self–awareness among learners. Thus, using the BT approach has changed the methods from novice teachers-centered to the learner – centered (Persky & McLaughlin, 2017). 2.10.2 PERSONALISED EDUCATION Personalized education takes the student-centred approach to a new level by reacting to each learner's unique needs, skills, and shortcomings as feasible. Individualized education tailors learning to the student (Ginns & Reeva, 2017). Moreover, one-on-one tutoring or high-tech, responsive learning tools transpire. Personalized education is a very effective method of learning that can result in remarkable learning outcomes. Finally, a personalized education strategy may incorporate cooperative learning for a balanced combination of social and customized learning. Today, many experts believe incorporating more learner-centred learning practices into the classroom can boost learning (Moate & Cox, 2015). Using a teacher-centred approach deprives pupils of essential skills and learning opportunities. However, for some specific topics and learning objectives, there may still be room for teacher-centred learning (Laumakis, et al., 2019). However, teacher-centred learning should not be a teacher's sole approach in the teachers' toolkit. The bottom line is that each instructor must discover a teaching style compatible with their personality. A motivated teacher who is confident in their abilities is an excellent teacher. 2.10.3 DIGITAL CLASSROOM Blended learning in a digital classroom emphasizes using online technology. "blended learning" refers to using digital technologies in the classroom. Much of this research is carried out in K-12 schools Council of European Union, (2019), although there are also such papers from higher education settings. One research used a tablet computer, and earbuds students got when they entered the classroom to access multimedia lectures (Watson, 2018). Another 26 research looked at a curriculum designed for schools and included online and print resources (Staker & Horn , 2012). 2.11 Summary of Chapter 2 There are various perceptions of novice teachers about blended teaching on learning of mathematics. This chapter discussed this study’s key concepts and also gave an overview of literature guiding the study. The following chapter is the overview of the theoretical framework. 27 CHAPTER THREE: THEORETICAL FRAMEOWRK 3.1 Introduction The previous chapter discussed the relevant literature guiding the study. The literature sought to answer the following research questions. The chapter provided an account of the literature reviewed on the perspectives of novice teachers about the impact of blended teaching on the learning of mathematics. This chapter discusses the theory that underpins the study. The use of conceptual framework such as Community of Inquiry (CoI) aided in the analysis of the data that transpired from the study. Furthermore, conceptualised framework is discussed. 3.2 Social Constructivist Approach According to Walliman (2018:74), although the meaning of theory is rather imprecise in research, “it refers to a statement that makes claim about a phenomenon.” It (theory) is “a generalised and generalisable statement which describes, explains, predicts and helps to select, classify and organise ideas, process and concepts. It helps to explain, clarify and articulate the heart of the issue” (Cohen et al, 2018). However, according to Muhajirah (2020) the development of Constructivism is associated with the Cognitive learning theory. Kostruktivism proceeds from the principle (belief) that knowledge is a method of training that continually develop and change (Muhajirah, 2020). Theory helps in formulating and finding causal relationships (Patten & Newhart, 2018) using rigorous criteria so that it aligns with logic and empirical evidence (Patten & Newhart, 2018); it helps in understanding what, how, and why observed phenomena and regularities occur (Cohen et al., 2018). Theory helps in predicting and in guiding direction of research; thereby having a firm theoretical base strengthens research as it identifies assumptions and enables the researcher to evaluate and to critique those (Cohen et al., 2018). Characteristically, a theory is important in explaining a relationship between two or more actions or things using rigorous criteria so that it aligns with logic and empirical evidence (Patten & Newhart, 2018). The above definition makes theories to be an organised body of concepts and principles intended to explain a particular phenomenon (Leedy & Ormond, 2021), making factual the reality that theories are speculative road maps for how things work (Blanchard & Thacker, 2013). This study is underpinned by the Social Constructivist Theory by Lev Vygotsky (1978). 28 This study further adapted the CoI Model by Garrison et al. (2000) as an analytical framework. This theory has been influential in developing working curricula for mathematics and other learning areas (Vygotsky's, 1978). Furthermore, Social Constructivism underscores the importance of human interaction in learning enhanced by technology through BT beyond the classroom environment (Gwaltney, 2017). Moreover, Muhajirah (2020) instruction (education) is always an outcome of the reasoning construction of reality through one's exercises. Thus, knowledge is not inevitable or stable but rather a method of developing to be known (Muhajirah, 2020). The principle of constructivism theory is that students must discover and alter detailed knowledge into other situations, and if required, that knowledge becomes their own. For this reason, the educator’s job description is to enable the progression by: 1. Making knowledge acquisition (learning) significant and applicable for students; 2. Permit students to research and put into practice their ideas; 3. Teachers are making students mindful of their approaches to acquiring knowledge. The acquisition of student knowledge begins with the adoption of new. According to (Muhajirah, 2020), the characteristics of constructivist learning are: 1) Offering knowledge acquisition (learning) skills by combining the experience that students have in such a way that is knowledge acquisition (learning) through the process of knowledge development; 2) Offering different replacement learning practices, not all do the same task; for example, a problem can be solved in different ways; 3) Incorporating learning with authentic and appropriate situations comprising distinct experiences, for example, to apprehend a concept through the authenticity of everyday life; 4) Incorporating learning to enable social transmission that is the manifestation of cooperation and interaction of an individual with others or with the atmosphere, for example, interaction and collaboration between students, teachers, and students; 5) Employing different media with the inclusion of oral and written communication so that learning becomes more active; thus 29 6) Emotionally and social involvement of students so that it becomes exciting and students want to learn. Following scientific ideas, knowledge is not transferred from teacher to student, except with students' activeness to reason; the teacher's role is to help provide facilities and situations. Hence, the construction process of students runs smoothly. Blended Teaching tools will foster this learning as novice teachers will facilitate the teaching process so that it becomes clear to the recipients of the lesson. Duffy and Cunningham (1996) substantiate that constructivist approaches use technologies that significantly impact teaching. Thus, Mal and Adhya (2020) aver that a corresponding association emerges between BT and Constructivism—the execution of each one advancing the other. Thus, Constructivism is an instruction affirming that learning takes place in settings, while BT refers to the strategies and conditions that involve learners. To apprehend the perspective of BT in enhancing the teaching-learning procedure trying to incorporate technology in the schoolroom needs to be researched within the perspective of a constructivist framework. Constructivist approaches embrace collaborative and concerted learning strategies involving analytical and meditative reasoning (Nanjappa & Grant, 2003). 3.3 Constructivism and Conversation Theory in Blended Teaching and Learning The flipped learning confirms the notion and the methodologies used to achieve it (Eppard & Rochdi, 2017). Moreover, the broad examining of using it (flipped learning) and neither have the theory that underpins could elaborate and substantiate the distinguished success of this approach. Eppard and Rochdi (2017) contend that this chapter aims to deal with this gap in the literature. Thus, by showing how learning theories link flipped learning and the operationalized components of these theories. Thus, demonstrating learning theories' connection with BT approaches in mathematics learning. One of the most substantial critiques of Blended teaching is that it places the burden of knowledge creation on the instructor rather than the student. Addressing this gap through Constructivism theory may be implemented in a Blended teaching environment, which promotes student engagement and focuses on the learner's ability to create new knowledge based on prior experience (Graham, 2016). Thus, this assimilation should be done in such an approach that blended teaching should not emerge as a diverse mixture of separated traditions. 30 However, preferably, it should be a productive blend as the paramount of both worlds (Mal & Adhya, 2020). Mal and Adhya (2020) maintain that the main prerequisite is that both approaches (assimilation & mixture of separated traditions) should supplement each other in the primarily feasible way, both in learning and technical terms. The qualities of a blended teaching environment allow it to adapt, assist, and encourage using Constructivism and Conversation theories in the learning process. Blended teaching might be similar to flipped learning, as learning will not be restricted within the classroom, i.e., it will take place in the comfort of learners, with novice teachers being the mentors of learners. Similarly, Yousufi (2020) avers that flipped classroom triggers the constructivist model. Blended learning aims to lay out the most efficient and practical teaching experience by combining delivery modalities (Kumar, 2012). Learners and teachers work together to improve the quality of learning and teaching; the ultimate aim of blended learning is to provide realistic, practical opportunities for learners and teachers to make learning independent, practical, sustainable, and ever-growing (Graham, 2005). 3.4 Constructivism-Based Blended Learning Model Figure 2.1 above highlights constructivism characteristics with related BT activities and ICT support tools. The constructivists created knowledge through social negotiation, cooperation, and experience. At all times, the instructor analyses students and serves as a coach, mentor, or guide, providing feedback to students and correcting any miscommunication between students at an early stage. The proposed Constructivism BT model consists of various face-to-face classrooms and online learning activities (Chyung, 2018). The teaching process starts with a face-to-face lecture to overview the course and discusses the most significant knowledge taught. Table 2.1 depicts the proposed teaching process, which consists of seven significant phases in which various scenarios could be applied (Deschacht & Goeman, 2015). During these phases, students construct knowledge through various learning activities linked to continuous evaluation. 31 Figure 3. 1: Constructivist-based blended learning Source: adapted from Al-Huneidi and Schreurs (2012) 3.5 Applying Constructivist Perspectives Mal and Adhya (2020) contend that Constructivism depicts a way of acquiring knowledge in which novice teachers cooperate meditatively to create new perceptions. Thus, this is precisely in the perspective of collaborative inquiry grounded in their knowledge (Mal & Adhya, 2020). Moreover, Mal and Adhya (2020) advocate that central to this cooperation is the advancement of communicative ability that facilitates learners to participate in open and critical conversation with both the novice teacher and capable peers. On the one hand, constructivist teaching gives outstanding significance to improving novice teachers' ideas (Mal & Adhya, 2020). In constructivist teaching, inspired novice teachers use their problem-solving techniques. Thus, they are expected not to embrace others' reasoning but to enhance their own. Anderson (2016) and Mpungose (2020) aver that learners learn better through facilitation, collaboration, interaction, communication, and knowledge construction. Hence, in developing countries like South Africa, BT seems to be a suitable strategy to augment the teaching-learning procedure in mathematics. Furthermore, during the collaboration with peers and novice teachers, the pupil's insightful thinking increasingly develops more abstract and vigorous 32 (Clements & Battista, 1990). The responsibility of the constructivist novice teacher is to direct and support pupils’ creativity of doable concepts rather than conveying ascertained techniques of task achievement. The