Mathematical Problem Solving: A Comprehensive Guide for Mathematics Educators by Kaur Berinderjeet

Introduction

Mathematical problem solving lies at the heart of meaningful mathematics education. It is not merely about finding answers but about cultivating logical thinking, creativity, and perseverance. Mathematical Problem Solving: Yearbook 2009, Association of Mathematics Educator, edited by Kaur Berinderjeet, is a landmark volume that brings together cutting-edge research and classroom-tested strategies. Published by World Scientific Publishing Company, this hardcover edition is an essential resource for Indian educators, researchers, and students who seek to deepen their understanding of how mathematical problems can be used to transform teaching and learning.

Book Overview

This book is the first in a series of yearbooks produced by the Association of Mathematics Educators in Singapore. It focuses exclusively on the theme of mathematical problem solving, presenting thirteen well-researched chapters that bridge theory and practice. Each chapter offers evidence-based insights into crafting problems, designing classroom activities, and assessing student thinking. The volume is unique because it does not just discuss problem solving in abstract terms—it provides concrete examples and pedagogical frameworks that teachers can directly apply in their classrooms. From primary school to higher secondary levels, the ideas in this book are adaptable to the Indian curriculum and context.

Key Highlights

• First in a prestigious yearbook series from the Association of Mathematics Educators, setting a high standard for subsequent volumes.
• Thirteen comprehensive chapters covering diverse aspects of problem solving, from problem posing to generative learning activities.
• Evidence-based examples that translate research into actionable classroom pedagogies.
• Focus on productive failure—a novel approach that encourages students to learn from mistakes and deepen conceptual understanding.
• Relevance to Indian educators—strategies that align with the National Education Policy's emphasis on critical thinking and experiential learning.

Inside the Book

The chapters are organized to take the reader on a journey from foundational theories to advanced classroom applications. Early chapters explore the nature of mathematical problems and how to design tasks that promote genuine inquiry. Later chapters delve into specific pedagogies such as problem posing, where students create their own problems, and generative activities that encourage multiple solution paths. The book also addresses assessment, showing how to evaluate problem-solving skills without relying solely on correct answers. Every chapter is rich with examples from real classrooms, making the content practical and relatable for teachers in Indian schools.

Key Topics

• Crafting mathematical problems for different age groups and ability levels.
• Learning mathematics through productive failure and reflection.
• Problem posing as a tool for deeper engagement and creativity.
• Generative activities that foster mathematical thinking and discussion.
• Integrating problem solving into the daily mathematics curriculum.
• Assessment strategies that capture student reasoning and growth.

Reader Benefits

Readers will gain a robust toolkit for enhancing their mathematics instruction. The book demystifies the process of creating effective problems and shows how to scaffold student learning. Teachers will learn to move beyond rote memorization and encourage students to think like mathematicians. For graduate students and researchers, the book provides a solid foundation in the latest research on problem solving, complete with references and data. Indian educators will appreciate the emphasis on low-cost, high-impact strategies that work in diverse classroom settings.

Learning Outcomes

• Develop the ability to design and select mathematical problems that promote critical thinking.
• Understand how to facilitate classroom discussions that uncover student misconceptions.
• Learn to use productive failure as a stepping stone to mastery.
• Gain proficiency in assessing problem-solving processes, not just final answers.
• Apply research-based pedagogies to improve student engagement and achievement in mathematics.

Who Should Read

This book is ideal for mathematics educators at all levels, from primary and secondary school teachers to college instructors. It is also a must-read for graduate research students specializing in mathematics education, curriculum developers, and teacher trainers. Parents who wish to support their children's mathematical growth will also find valuable insights. The book is written in a clear, accessible style that balances academic rigor with practical wisdom.

About the Author

Kaur Berinderjeet is a highly respected mathematics educator and researcher based in Singapore. She has served as a professor at the National Institute of Education, Nanyang Technological University, and has been instrumental in advancing the field of mathematical problem solving. Her work has influenced mathematics education policies and practices across Asia. As the editor of this yearbook, she has curated contributions from leading scholars and practitioners, ensuring that the volume reflects the highest standards of scholarship and relevance.

About the Publisher

World Scientific Publishing Company is a globally renowned academic publisher with a strong presence in the fields of science, technology, and mathematics. Based in Singapore, the company is known for producing high-quality reference works, textbooks, and research monographs. This hardcover edition is crafted with durable binding and clear print, making it a lasting addition to any library. World Scientific's commitment to excellence ensures that every title meets rigorous editorial and production standards.

Conclusion

Mathematical Problem Solving: Yearbook 2009 is more than a book—it is a gateway to transforming how mathematics is taught and learned. By focusing on the art and science of problem solving, it equips educators with the tools to inspire curiosity, resilience, and deep understanding in their students. For Indian teachers and researchers looking to stay at the forefront of mathematics education, this volume is an indispensable companion. Add it to your collection today and begin a journey toward more meaningful mathematics instruction.