Broadening Research on Mathematical Problem-Solving: An Introduction

Abstract

Across the world, problem-solving remains a key element of the mathematics curriculum and a central aim of mathematics teaching and learning. In order to embrace innovative ways of thinking and working, mathematical problem-solving in school classrooms is being challenged by the increasingly widespread use of digital technologies, the promotion of creativity, and the recognition of the affective and aesthetic dimensions. As an introduction to this edited collection, this chapter provides a brief overview of trends in research on mathematical problem-solving before outlining the central themes of the book: technology in mathematical problem-solving, creativity in mathematical problem-solving, and affect and aesthetics in mathematical problem-solving. The final section of the book makes evident the need to investigate in a comprehensive way how technology, creativity, and affect and aesthetics in mathematical problem-solving are being brought together.