Abstract

Various studies have shown that what teachers consider to be optimal ways of teaching mathematics is influenced by their beliefs about the nature of mathematics, and that it is advantageous to determine teachers’ conceptions of the nature of mathematics before developing curriculum interventions. With the imminent introduction of Mathematical Literacy in the FET phase in South Africa this study provides a snapshot of beliefs of teachers in the Eastern Cape, South Africa. Various methods were employed to stimulate teachers to both reflect on their beliefs and to make them explicit. A questionnaire was administered to 339 in-service teachers in urban and rural areas of the Eastern Cape. A sample of ninety-five of these teachers completed a second questionnaire based on videotapes of lessons recorded during the TIMSS (1995) study that they had viewed. These teachers also ranked their own teaching on a continuum ranging from traditional to constructivist approaches and provided explanations for their ranking. A further sub-sample of thirty-six teachers participated in individual interviews, which explored their perceptions of the nature of mathematics and their own teaching practice. In order to investigate whether these beliefs were mirrored in practice, four teachers were observed and videotaped in their classrooms. The data generated by this study suggest that the participating teachers’ espoused beliefs of the nature of mathematics tended to be innovative, and correlated with innovative views of teaching and learning; however these views were often not reflected in their practice. The implications that the apparent inability of teachers to translate their beliefs into practice have for the introduction of a contextual, problem-based Mathematical Literacy curriculum for teachers is explored.

Highlights

  • IntroductionThe teaching style for Mathematical Literacy, as expressed in the National Curriculum Statement of the Department of Education (DoE, 2003), is through contextual problem solving

  • In response to the proposed introduction of Mathematical Literacy in South African schools in 2006, the Eastern Cape Department of Education (ECDE) has been proactive in proposing that Higher Education Institutions (HEIs) in the Eastern Cape develop and deliver an Advanced Certificate in Education (ACE) in Mathematical Literacy

  • This study investigated a sample of Eastern Cape teachers’ beliefs about the nature of mathematics; how such beliefs were linked to these teachers’ beliefs about teaching and learning; and whether espoused beliefs were mirrored in classroom practice, in order to ascertain whether these attitudes and practices were in line with those required for the introduction of a contextual, problem solving curriculum for Mathematical Literacy in South Africa

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Summary

Introduction

The teaching style for Mathematical Literacy, as expressed in the National Curriculum Statement of the Department of Education (DoE, 2003), is through contextual problem solving This represents a change from traditional instructional practices employed in Eastern Cape classrooms, especially at the Further Education and Training (FET) level for grades 10, 11 and 12, where Outcomes Based Education has not yet been introduced. This study investigated a sample of Eastern Cape teachers’ beliefs about the nature of mathematics; how such beliefs were linked to these teachers’ beliefs about teaching and learning; and whether espoused beliefs were mirrored in classroom practice, in order to ascertain whether these attitudes and practices were in line with those required for the introduction of a contextual, problem solving curriculum for Mathematical Literacy in South Africa

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