Exploring Foundation Phase pre-service teachers’ mathematical pedagogical content knowledge for teaching additive mental mathematics strategies
- Authors: Kumm, Marisa Luisa
- Date: 2025-04-03
- Subjects: Pedagogical content knowledge , Mathematics Study and teaching (Primary) South Africa , Pre-service teacher education , Student teachers South Africa , Addition Study and teaching (Elementary) , Number concept Study and teaching (Elementary)
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/480018 , vital:78389
- Description: Poor learner performance in mathematics remains a concern in South African primary and secondary education according to continuous national and international assessments. Many learners fall behind in the early grades without being provided the opportunity to establish a solid foundational number sense. This is an essential requirement to progress into the higher grades. Addressing the challenges of number sense in the Foundation Phase is mandatory. This study aimed to investigate third-year Foundation Phase pre-service teachers’ content knowledge and pedagogical content knowledge of their additive reasoning strategies (a key aspect of number sense) at a private teacher education institution, guided by the question: What content knowledge and pedagogical content knowledge do third-year Foundation Phase pre-service teachers have of additive reasoning mental mathematics strategies? Several researchers have identified the need to develop pre-service teachers’ mathematical content knowledge and pedagogical content knowledge. This study was guided by Shulman’s (1986) constructs of teacher knowledge. This qualitative, descriptive study, which formed part of the Mental Mathematics – Work Integrated Learning (MM-WIL) programme, collected data from an interpretivist perspective. The information for this study was gathered from participants who agreed to be part of the study. The study collected data through pre- and post-intervention questionnaires that had two parts. The first part assessed pre-service teachers’ methods of solving four basic additive reasoning calculations (that lent themselves to using the strategies of bridging through ten, jump strategy, and rounding and adjusting). The second part of the questionnaire asked pre-service teachers to describe these strategies and how they would teach them, with the aim of understanding their additive reasoning skills and ability to use and teach these mental strategies. Key findings are that many pre-service teachers do not have the content knowledge to solve basic calculations using efficient methods. These are skills that they are required to teach in the Foundation Phase classroom. The findings in this study highlight the urgent need to address the weak content knowledge, pedagogical content knowledge and inefficient unit based counting methods of many pre-service teachers to improve learners’ development and fundamental understanding of numbers that allows for flexible and efficient calculation. , Thesis (MEd) -- Faculty of Education, Primary and Early Childhood Education, 2025
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- Authors: Kumm, Marisa Luisa
- Date: 2025-04-03
- Subjects: Pedagogical content knowledge , Mathematics Study and teaching (Primary) South Africa , Pre-service teacher education , Student teachers South Africa , Addition Study and teaching (Elementary) , Number concept Study and teaching (Elementary)
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/480018 , vital:78389
- Description: Poor learner performance in mathematics remains a concern in South African primary and secondary education according to continuous national and international assessments. Many learners fall behind in the early grades without being provided the opportunity to establish a solid foundational number sense. This is an essential requirement to progress into the higher grades. Addressing the challenges of number sense in the Foundation Phase is mandatory. This study aimed to investigate third-year Foundation Phase pre-service teachers’ content knowledge and pedagogical content knowledge of their additive reasoning strategies (a key aspect of number sense) at a private teacher education institution, guided by the question: What content knowledge and pedagogical content knowledge do third-year Foundation Phase pre-service teachers have of additive reasoning mental mathematics strategies? Several researchers have identified the need to develop pre-service teachers’ mathematical content knowledge and pedagogical content knowledge. This study was guided by Shulman’s (1986) constructs of teacher knowledge. This qualitative, descriptive study, which formed part of the Mental Mathematics – Work Integrated Learning (MM-WIL) programme, collected data from an interpretivist perspective. The information for this study was gathered from participants who agreed to be part of the study. The study collected data through pre- and post-intervention questionnaires that had two parts. The first part assessed pre-service teachers’ methods of solving four basic additive reasoning calculations (that lent themselves to using the strategies of bridging through ten, jump strategy, and rounding and adjusting). The second part of the questionnaire asked pre-service teachers to describe these strategies and how they would teach them, with the aim of understanding their additive reasoning skills and ability to use and teach these mental strategies. Key findings are that many pre-service teachers do not have the content knowledge to solve basic calculations using efficient methods. These are skills that they are required to teach in the Foundation Phase classroom. The findings in this study highlight the urgent need to address the weak content knowledge, pedagogical content knowledge and inefficient unit based counting methods of many pre-service teachers to improve learners’ development and fundamental understanding of numbers that allows for flexible and efficient calculation. , Thesis (MEd) -- Faculty of Education, Primary and Early Childhood Education, 2025
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The mathematical and pedagogical content knowledge that Namibian senior primary teachers draw on to develop their learners’ computational estimation
- Authors: Shigwedha, Emilia Ndilimeke
- Date: 2023-10-13
- Subjects: Mathematics Study and teaching (Primary) Namibia , Approximation theory , Pedagogical content knowledge , Mathematics teachers In-service training Namibia , Mathematics Namibia Outlines, syllabi, etc
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/424108 , vital:72124
- Description: Computational estimation is important in the development of learners’ number sense. It is through the process of finding an approximate (but satisfactory) that learners can check the reasonableness of their answers to calculations, develop an understanding of place value and by implication the four number operations. It is the role of teachers to develop the computational estimation skills of learners. To do this, teachers need to have a sound knowledge of computational estimation, its value and how to teach it. This study thus seeks to explore and understand Namibian senior primary teachers’ mathematical and pedagogical content knowledge to develop their learners’ computation estimation knowledge. The research is guided by the following question: What mathematical and pedagogical content knowledge do senior primary mathematics teachers draw on to develop their learners’ computational estimation skills? The research is a qualitative interpretivist case study. Eight senior primary teachers of Mathematics from the Ohangwena region in Namibia participated in the study. Data was generated through questionnaires, a focus group interview and lesson observations. The Mathematics Knowledge for Teaching (Ball et al., 2008) and the Knowledge Quartet (Rowland, 2005) frameworks were used as both analytic and explanatory tools for the study. Key findings from the research are that teachers have knowledge of and use a variety of strategies for estimation, however, they only use the ‘rounding off’ strategy when teaching learners computational estimation. The teachers appear to teach computational estimation by first focusing on place value before moving on to ‘rounding off’ to the nearest 10s, 100s, 1000s and so forth. My research recommends that the National Institute of Educational Development together with the Ministry of Education, Art and Culture in Namibia, provide teachers with professional development opportunities on how to develop learners’ computational estimation. Such professional development will further develop teachers’ mathematical and pedagogical content knowledge. Furthermore, the Namibian syllabus should include a variety of strategies for computational estimation. , Thesis (MEd) -- Faculty of Education, Primary and Early Childhood Education, 2023
- Full Text:
- Authors: Shigwedha, Emilia Ndilimeke
- Date: 2023-10-13
- Subjects: Mathematics Study and teaching (Primary) Namibia , Approximation theory , Pedagogical content knowledge , Mathematics teachers In-service training Namibia , Mathematics Namibia Outlines, syllabi, etc
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/424108 , vital:72124
- Description: Computational estimation is important in the development of learners’ number sense. It is through the process of finding an approximate (but satisfactory) that learners can check the reasonableness of their answers to calculations, develop an understanding of place value and by implication the four number operations. It is the role of teachers to develop the computational estimation skills of learners. To do this, teachers need to have a sound knowledge of computational estimation, its value and how to teach it. This study thus seeks to explore and understand Namibian senior primary teachers’ mathematical and pedagogical content knowledge to develop their learners’ computation estimation knowledge. The research is guided by the following question: What mathematical and pedagogical content knowledge do senior primary mathematics teachers draw on to develop their learners’ computational estimation skills? The research is a qualitative interpretivist case study. Eight senior primary teachers of Mathematics from the Ohangwena region in Namibia participated in the study. Data was generated through questionnaires, a focus group interview and lesson observations. The Mathematics Knowledge for Teaching (Ball et al., 2008) and the Knowledge Quartet (Rowland, 2005) frameworks were used as both analytic and explanatory tools for the study. Key findings from the research are that teachers have knowledge of and use a variety of strategies for estimation, however, they only use the ‘rounding off’ strategy when teaching learners computational estimation. The teachers appear to teach computational estimation by first focusing on place value before moving on to ‘rounding off’ to the nearest 10s, 100s, 1000s and so forth. My research recommends that the National Institute of Educational Development together with the Ministry of Education, Art and Culture in Namibia, provide teachers with professional development opportunities on how to develop learners’ computational estimation. Such professional development will further develop teachers’ mathematical and pedagogical content knowledge. Furthermore, the Namibian syllabus should include a variety of strategies for computational estimation. , Thesis (MEd) -- Faculty of Education, Primary and Early Childhood Education, 2023
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