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Full Description
This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students' mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.
Contents
Problem posing and problem-solving developments: Issues and themes within and from ICME 14 Topical Study Group contributions.- Trends and developments of mathematical problem-solving research to update and support the use of digital technologies in post-confinement learning spaces.- Problem posing and modeling: Confronting the dilemma of rigor or relevance.- Types of mathematical reasoning promoted in the context of problem-solving instruction in Geneva.- Prospective secondary school mathematics teachers' use of digital technologies to represent, explore and solve problems.- Primary school teachers' behaviors, beliefs, and their interplay in teaching for problem-solving.- Movie clips in the enactment of problem solving in the mathematics classroom within the framework of communication model.- On teaching of word problems in the context of early algebra.- Problem posing by mathematics teachers: The problems they pose and the challenges they face in the classroom.- Problem posing among preservice and inservice mathematics teachers.- An approach to developing the problem-posing skills of prospective mathematics teachers: Focus on the "what if not" heuristics.- Regulation of cognition during problem posing : A case study.- Problem posing in Pósa problem threads.- Conclusion: Mathematics problem posing and problem solving: Some reflection on recent advances and new opportunities.
