© 2019

Mathematical Problem Solving

Current Themes, Trends, and Research

  • Peter Liljedahl
  • Manuel Santos-Trigo

Part of the ICME-13 Monographs book series (ICME13Mo)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Problem Solving Heuristics

  3. Problem Solving and Technology

  4. Inquiry and Problem Posing in Mathematics Education

    1. Front Matter
      Pages 111-111
    2. Magali Hersant, Christine Choquet
      Pages 113-131
  5. Assessment of and Through Problem Solving

  6. The Problem Solving Environment

    1. Front Matter
      Pages 261-261
    2. Patricio Felmer, Josefa Perdomo-Díaz, Cristián Reyes
      Pages 311-337

About this book


This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment.

Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches. 


Mathematical problem solving Problem solving heuristics Problem posing in mathematics education Problem solving environment Future-oriented Thinking in Mathematical Problem Solving Mathematical problem solving with technology Spreadsheet affordances in solving complex word problems Didactic analysis by means of problem posing Mathematical problem solving competencies Activating Problem Solving in the Classroom ARPA Creating and sustaining online problem-solving forums Methods in Evaluating Metacognitive Strategies

Editors and affiliations

  • Peter Liljedahl
    • 1
  • Manuel Santos-Trigo
    • 2
  1. 1.Faculty of EducationSimon Fraser UniversityBurnabyCanada
  2. 2.Department of Mathematics EducationCinvestav-Instituto Politecnico NacionalMexico CityMexico

Bibliographic information


“The volume will be a useful addition to the libraries of education researchers and to mathematics teacher educators who are charged with supporting preservice or inservice teachers’ development of capacities to incorporate problem solving into their instruction. … this volume offer interesting insights into the phenomenon of problem solving and the technological tools and learning environments that support students to engage in problem solving.” (Duane Gaysay, MAA Reviews, August 16, 2020)