The following study aims to examine the special mathematical knowledge needed in order to teach mathematics. Furthermore, the study attempts to explore how teachers’ views on the knowledge needed in order to teach mathematics affects their student’s opportunities to develop their conceptual understanding. Qualitative and quantitative empirical data was attained by observations and complementary interviews. A total of three teachers, all working at the same school, was observed and interviewed. The study used Ball, Thames & Phelps (2008) practice-based theory of mathematical knowledge for teaching, MKT, as its theoretical framework when analyzing the empirical data. The result of the observations displays that math teachers tend to use common content knowledge far more than specialized content knowledge during their lessons. The outcome of this also study reveals that there is a tendency among teachers to interfuse mathematical concepts with terminology. Conceptual understanding is equated with the use of correct terminology. The students are not exposed to the underlying ideas of the mathematical concepts. The study also concludes that there seems to be a sectioning between the mathematical content taught in grade 4-6 from the rest of the content being taught in elementary school, with a low number of connections being made between mathematical topics and concepts included in the curriculum.

The South African Department of Basic Education and Department of Higher Education and Training (2011a) made a call for the development of mathematics knowledge and practice standards in the foundation phase to serve as guidelines for the preparation of foundation phase teachers in the different higher education institutions. The purpose of the study in hand was to develop draft knowledge and practice standards in the number domain for the preparation of foundation phase teachers (referred to as mathematics knowledge and practice standards). These standards have to be refined and improved in further studies and should in the end serve as knowledge and practice standards for the preparation of foundation phase teachers in South Africa. Through a conceptual qualitative research methodology the researcher purposefully collected documents and analysed them through content analysis. The data-gathering process took place in three phases. During the first phase, policy documents with regard to general standards for teacher preparation, written school curriculum documents and mathematical standards for the preparation of foundation phase teachers in South Africa, the United States of America, Australia and the Netherlands were gathered. The second phase involved the purposeful gathering of articles, research reports and teacher preparation textbooks with regard to the preparation of foundation phase teachers to teach the number domain. During the first and second phases of data gathering, the documents were analysed according to mathematical knowledge for teaching as described by Ball, Thames and Phelps (2008) and the first draft of mathematical knowledge and practice standards was compiled. During the third data-gathering phase, critical evaluation reports were gathered from experts in the field of mathematics education (including researchers at universities and practising foundation phase teachers). The critical evaluation includes gaps/shortcomings in the draft mathematics knowledge and practice standards, as well as comments with regard to the clarity, applicability and functionality of the document. The draft mathematics knowledge and practice standards (MKPSs) for the preparation of foundation phase teachers include: Standard 1: Common content knowledge – The foundation phase teacher has a clear understanding of the common content knowledge of the number domain. Standard 2: Specialised content knowledge – The foundation phase teacher has a clear understanding of the specialised content of the number domain. Standard 3: Knowledge at the mathematical horizon – The foundation phase teacher understands how mathematical themes in the number domain relate to other themes in the different foundation phase year groups and in other phases. Standard 4: Knowledge of content and teaching – The foundation phase teacher is able to plan lessons and knows how to teach the number domain. Standard 5: Knowledge of content and learners – The foundation phase teacher knows the foundation phase learners and knows how they learn the number domain. Standard 6: Knowledge of content and the curriculum – The foundation phase teacher understands the South African school curriculum, as well as international trends in the school curriculum concerning the number domain. Those experts in the field of mathematics education in the foundation phase who participated in the study all indicated that the mathematics knowledge and practice standards in the number domain have the potential to boost the preparation of foundation phase teachers in South Africa. / MEd (Mathematics Education), North-West University, Potchefstroom Campus, 2014

The South African Department of Basic Education and Department of Higher Education and Training (2011a) made a call for the development of mathematics knowledge and practice standards in the foundation phase to serve as guidelines for the preparation of foundation phase teachers in the different higher education institutions. The purpose of the study in hand was to develop draft knowledge and practice standards in the number domain for the preparation of foundation phase teachers (referred to as mathematics knowledge and practice standards). These standards have to be refined and improved in further studies and should in the end serve as knowledge and practice standards for the preparation of foundation phase teachers in South Africa. Through a conceptual qualitative research methodology the researcher purposefully collected documents and analysed them through content analysis. The data-gathering process took place in three phases. During the first phase, policy documents with regard to general standards for teacher preparation, written school curriculum documents and mathematical standards for the preparation of foundation phase teachers in South Africa, the United States of America, Australia and the Netherlands were gathered. The second phase involved the purposeful gathering of articles, research reports and teacher preparation textbooks with regard to the preparation of foundation phase teachers to teach the number domain. During the first and second phases of data gathering, the documents were analysed according to mathematical knowledge for teaching as described by Ball, Thames and Phelps (2008) and the first draft of mathematical knowledge and practice standards was compiled. During the third data-gathering phase, critical evaluation reports were gathered from experts in the field of mathematics education (including researchers at universities and practising foundation phase teachers). The critical evaluation includes gaps/shortcomings in the draft mathematics knowledge and practice standards, as well as comments with regard to the clarity, applicability and functionality of the document. The draft mathematics knowledge and practice standards (MKPSs) for the preparation of foundation phase teachers include: Standard 1: Common content knowledge – The foundation phase teacher has a clear understanding of the common content knowledge of the number domain. Standard 2: Specialised content knowledge – The foundation phase teacher has a clear understanding of the specialised content of the number domain. Standard 3: Knowledge at the mathematical horizon – The foundation phase teacher understands how mathematical themes in the number domain relate to other themes in the different foundation phase year groups and in other phases. Standard 4: Knowledge of content and teaching – The foundation phase teacher is able to plan lessons and knows how to teach the number domain. Standard 5: Knowledge of content and learners – The foundation phase teacher knows the foundation phase learners and knows how they learn the number domain. Standard 6: Knowledge of content and the curriculum – The foundation phase teacher understands the South African school curriculum, as well as international trends in the school curriculum concerning the number domain. Those experts in the field of mathematics education in the foundation phase who participated in the study all indicated that the mathematics knowledge and practice standards in the number domain have the potential to boost the preparation of foundation phase teachers in South Africa. / MEd (Mathematics Education), North-West University, Potchefstroom Campus, 2014