Abstract

Problem-solving is of importance in the teaching and learning of mathematics. Nevertheless, a baseline investigation conducted in 2016 revealed that mathematical problem-solving is virtually missing in South African classrooms. In this regard, a two-cycle design-based research project was conducted to develop a professional development (PD) intervention that can be used to bolster Grade 9 South African teachers’ mathematical problem-solving pedagogy (MPSP). This article discusses the factors that emerged as fundamental to such a PD intervention. Four teachers at public secondary schools in Gauteng, South Africa, who were purposively selected, participated in this qualitative research study of a naturalistic inquiry. Teachers attended PD workshops for six months where PD activities that were relevant to their context were implemented. Between the PD workshops, teachers were encouraged to put into practice the new ideas on MPSP. Qualitative data were gathered through reflective interviews and classroom observations which were audio-recorded with teachers’ consent. Data were analysed through grounded theory techniques using constant comparison. The findings from the study suggested that teachers’ personal meaning, reflective inquiry, and collaborative learning are factors fundamental to their professional growth in MPSP. The major recommendation from the study is that facilitators of PD must acknowledge these factors to promote teachers’ professional growth in MPSP. If PD processes and activities are relevant to teachers’ personal meaning, reflective inquiry, and collaborative learning, teachers find the PD programme fulfilling and meaningful. This study contributes to the PD in MPSP body of knowledge by having worked with teachers in an under-researched context of historical disadvantage.

Highlights

  • South African learners perform poorly in mathematics in national tests of achievement like Annual National Assessments (ANA), in regional tests of achievement such as Southern and Eastern African Consortium for Monitoring Education Quality (SACMEQ), and in international tests of achievement like Trends in Mathematics and Science Study (TIMSS)

  • This study focused on designing a professional development (PD) for teaching mathematical problem-solving

  • At the beginning of the workshop, I had provided teachers with Polya’s How to solve it book that focuses on mathematical problem-solving

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Summary

Introduction

South African learners perform poorly in mathematics in national tests of achievement like Annual National Assessments (ANA), in regional tests of achievement such as Southern and Eastern African Consortium for Monitoring Education Quality (SACMEQ), and in international tests of achievement like Trends in Mathematics and Science Study (TIMSS). Of the approximately 270 500 Grade 12 learners who wrote mathematics in the 2018 matric examinations, only 37% passed with 40% and above These results indicate that South African learners’ performance in mathematics is inadequate and this crisis has existed for over 20 years (Van Jaarsveld & Ameen, 2017). In this regard, the Department of Basic Education (DBE) in South Africa propounds problem-solving as another way for improving the teaching and learning of mathematics (DBE, 2011). The baseline study investigated South African Grade 9 mathematics teachers’ teaching strategies, views on MPSP, and the support they http://www.pythagoras.org.za

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