M, PS Mathematical Problem Solving in South Africa: Research and Practice

Authors

Brantina Chirinda
University of Johannesburg
Patrick Barmby
No More Marking Pvt Ltd
Kakoma Luneta
University of Johannesburg

Synopsis

Mathematical Problem solving In South Africa: Research and Practice is written for scholars and mathematics education practitioners interested in quality research, methodological rigour, and potentially transformative implications to assist them in understanding the teaching and learning of mathematical problem solving in South Africa. As such, this book aims to present current research on problem solving in this Southern African context. Nevertheless, the latter part on context needs to be emphasised. The editors are excited about how much the research was context-bound, even if at times not overtly stated.

As a secondary aim to this book, the contextual nature of educational research is a focal point  - in order to encourage others from different backgrounds to present what they observe, in this case, around mathematical problem solving. So, in reading this book, the most important message that we want to convey to the reader is how valuable ‘local’ research is and how much it can spark broader discussions on the subject matter.

With that in mind, we believe that the book presents ‘the state of the art’ of mathematical problem solving in South African education. The book also provides various perspectives to problem solving involving research-based approaches to instruction and content. After reading this book, readers will not only be informed about mathematical problem solving specifically in South Africa but also ideas to apply in the reader’s context. Specifically, this book provides insight into what mathematical problem solving means in a South African context and how it is being implemented in the classrooms, preservice teacher education, and in-service teachers’ professional development initiatives. On the other hand, the term problem solving has different meanings for different mathematics education practitioners. As such, it has been challenging to conclude what mathematical problem solving means in South Africa. This edited volume is compiled to make such an exposition and open up ideas about how we generally view problem solving in mathematics education research. 

Mathematical Problem solving in South Africa: Research and Practice is an indispensable resource to people with research interests in mathematical problem solving and mathematics education at any level; mathematics education researchers; mathematics teachers; mathematics education students in higher education; mathematics education curriculum planners and policymakers. The current focus of mathematical problem-solving research is on what transpires in the classroom during its implementation. Besides giving empirical data on how mathematical problem solving is implemented in a South African context, this book gives insight into some of the different ways in which local mathematics teachers teach problem solving and use problem solving to teach mathematics. The book has many significant ideas to help teachers to implement problem-solving tasks into their classrooms. These significant ideas were tested in the classrooms by the authors. This means the book can be used by professional development practitioners interested in supporting in-service mathematics teachers in teaching problem solving. 

The 14 authors of the nine chapters, who are from various South African institutions of higher learning, pay careful attention to the past, present and future directions of mathematical problem solving in South Africa and internationally. Consequently, this book is helpful for graduate courses on mathematical problem solving or mathematics teacher education. 

The book also provides international researchers with insight into developments in South Africa regarding the teaching and learning of mathematical problem solving. The authors engage diverse conceptualisations of mathematical problem solving and, at the same time, offer a range of approaches for exploring aspects related to problem solving in mathematics classrooms. We intend that this more diverse view contributes to a broader discussion on how we approach the teaching and research of mathematical problem solving. The book aims to:

  • Bring together recent work from researchers, and inform readers about mathematical problem-solving research in South Africa;
  • To provide an updated overview of contemporary research on mathematical problem solving;
  • Clarify what mathematical problem solving means in a South African context;
  • Provide empirical data on how mathematical problem solving is implemented in the South African context;
  • Give insight into some of the different ways in which South African mathematics teachers teach problem solving, thus drawing attention to successfully applied teaching practices; and
  • Identify main directions for further research in mathematical problem solving in South Africa.

Author Biographies

Brantina Chirinda, University of Johannesburg

Brantina Chirinda is currently a research fellow of Mathematics Education at the University of Johannesburg. Dr Chirinda holds a PhD in Mathematics Education from the University of Witwatersrand. Her research interests are in mathematical problem solving, equity and access in mathematics education, effective methods of teaching and learning mathematics, mathematics teachers’ professional development, teachers’ professional knowledge of teaching mathematics, and teaching mathematics for robust understanding. She has taught mathematics and mathematics education courses at various Southern African institutions. She has published several conference proceedings, book chapters and articles in accredited journals.  

Patrick Barmby, No More Marking Pvt Ltd

Patrick Barmby is Chief Operating Officer for No More Marking and joined the organisation in July 2017. Prior to moving to No More Marking, Patrick was working in South Africa as a Senior Lecturer in mathematics education at the University of the Witwatersrand, Johannesburg. He also worked for 13 years at Durham University in the UK, and in both institutions, he worked closely with trainee teachers and carried out research mainly in primary mathematics. His research interests include the notion of understanding in mathematics, the use of visual representations in teaching mathematics and the use of eye tracking technology in mathematics education research. He has also published on the teaching of mathematical problem solving in the past.

Kakoma Luneta, University of Johannesburg

Kakoma Luneta is an Associate Professor of Mathematics Education in the Faculty of Education at the University of Johannesburg, South Africa, where he has been a faculty member since January 2005. Dr Luneta completed his PhD in Mathematics Teacher Education from the University of Witwatersrand and a Masters in Mathematics Teacher Education from the University of Sussex in England. His research interest is in Mathematics Teachers Education at Secondary and Elementary school; Mathematics/numeric cognition, and Professional Development and Mentorship of Mathematics Teachers. He has taught mathematics and physics in various Northern and Southern African countries, the UK and the US. He has supervised to completion several masters and doctoral students from Sub Sahara Africa, Greece and South Korea. He has published four books, over 30 book chapters and articles in accredited journals. 

Published

May 19, 2023