Problem Posing and Problem Solving in Mathematics Education: International Research and Practice Trends

The book presents theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) in mathematics education, covering research and development, new trends and developments, and future trends. It addresses the needs of the mathematics education research and practice communities, focusing on problem solving and posing in mathematics.

Format: Hardback
Length: 259 pages
Publication date: 02 January 2024
Publisher: Springer Verlag, Singapore

Problem solving and posing (PS/PP) are essential components of mathematics education, and this book presents both theoretical and empirical contributions from a global perspective. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14, and the topic has grown rapidly in recent years. 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.

The book aims to present an overview of research and development regarding students' mathematical problem solving and posing, discuss new trends and developments in research and practice on these topics, and provide insight into the future trends of mathematical problem solving and posing. It covers a wide range of topics, including problem solving strategies, problem-based learning, and problem-posing activities.

One of the key challenges in problem solving and posing is the need to develop students' creativity and critical thinking skills. Problem solving requires students to think outside the box and come up with innovative solutions to problems, while posing requires students to create new problems and challenges. This book provides examples of how teachers can encourage students to develop these skills, including through problem-based learning, open-ended questions, and collaborative learning.

Another challenge in problem solving and posing is the need to address the diversity of students' backgrounds and learning styles. Problem solving and posing can be difficult for students who struggle with basic mathematical concepts, and teachers must be able to provide appropriate support and guidance. This book provides examples of how teachers can use different teaching strategies to address these challenges, including differentiated instruction and scaffolding.

In addition to these challenges, problem solving and posing can also be used to promote student engagement and motivation. Problem solving and posing can be fun and engaging, and students can see the immediate impact of their work. This book provides examples of how teachers can use problem-based learning and problem-posing activities to promote student engagement and motivation.

The book also includes a section on the use of technology in problem solving and posing. Technology can be a powerful tool for promoting problem solving and posing, and this book provides examples of how teachers can use technology to enhance their teaching and learning.

Overall, this book is a valuable resource for mathematics educators and researchers. It provides an overview of research and development regarding students' mathematical problem solving and posing, discusses new trends and developments in research and practice on these topics, and provides insight into the future trends of mathematical problem solving and posing. It is well-written and accessible, and it will be of interest to anyone who is interested in improving mathematics education.

Dimension: 235 x 155 (mm)
ISBN-13: 9789819972043
Edition number: 1st ed. 2023