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Mathematical Problem Posing

From Research to Effective Practice

  • Florence Mihaela Singer
  • Nerida F. Ellerton
  • Jinfa Cai

Part of the Research in Mathematics Education book series (RME)

Table of contents

  1. Front Matter
    Pages i-xxxi
  2. Defining the Field: Interpreting Problem Posing in the Context of Mathematics Education

    1. Front Matter
      Pages 1-1
    2. Jinfa Cai, Stephen Hwang, Chunlian Jiang, Steven Silber
      Pages 3-34
    3. Ragnhild Hansen, Gert M. Hana
      Pages 35-46
    4. Jasmina Milinković
      Pages 47-70
    5. Sergei Abramovich, Eun Kyeong Cho
      Pages 71-102
    6. Vincent J. Matsko, Jerald Thomas
      Pages 125-139
    7. Florence Mihaela Singer, Cristian Voica
      Pages 141-174
  3. Mathematical Problem Posing in the School Mathematics Curriculum

  4. Mathematics Problem Posing in Teacher Education Programs and Teacher Professional Development

  5. Mathematics Problem Posing: Some Concluding Comments

    1. Front Matter
      Pages 545-545
  6. Back Matter
    Pages 557-569

About this book

Introduction

This international review offers current findings on the art and science of problem posing and its multiple contributions to mathematics teaching, learning, training, and curriculum design. Diverse perspectives on problem posing frame the concept as a springboard for scientific inquiry and the process as a means to promote mathematical understanding across the primary and secondary grades. Problem posing is demonstrated as enhancing students' problem-solving skills, bolstering knowledge retention, and improving attitudes toward mathematics, and the book provides evidence-based strategies for its integration into both classroom work and teacher education. This information is particularly critical as mathematics-based knowledge continues to dominate technology and the sciences.

 

Among the topics covered:

 

  • Using digital technology for mathematical problem posing.
  • Problem posing as a tool for identifying and developing mathematical creativity.
  • Problem posing as providing students with content-specific motives.
  • What high school teachers mean when they say "I pose my own problems."
  • Problem posing as a motivational tool in primary school teacher training.
  • Problem posing as an integral component of the mathematics curriculum.

 

For mathematics educators as well as mathematics education researchers, Mathematical Problem Posing brings clarity and innovative understanding to a central element in the continuing progress of the field.

Keywords

Data Modeling for problem posing Digital technology and mathematical problem posing Mathematical problem posing and computers Pre-service teachers and problem posing Problem Posing in Mathematics Education Problem solving and creativity in Mathematics Education

Editors and affiliations

  • Florence Mihaela Singer
    • 1
  • Nerida F. Ellerton
    • 2
  • Jinfa Cai
    • 3
  1. 1.Department of Educational SciencesUniversity of PloiestiBucharestRomania
  2. 2.Department of MathematicsIllinois State UniversityNormalUSA
  3. 3.Department of Mathematical SciencesUniversity of DelawareNewarkUSA

Bibliographic information