Research in Mathematics Education

Mathematical Problem Posing

From Research to Effective Practice

Editors: Singer, Florence Mihaela, Ellerton, Nerida F., Cai, Jinfa (Eds.)

  • Describes significant trends of problem posing in school mathematics
  • Outlines the importance of appropriate problem posing in the classroom
  • Illustrates problem posing technique for pre-service teachers
  • Investigates the impact of problem posing and problem solving activities utilizing cultural artifacts
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eBook $139.00
price for USA (gross)
  • ISBN 978-1-4614-6258-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-1-4614-6257-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4939-4747-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.

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About the authors

Florence Mihaela Singer is a full professor in the Teacher Training Department of the University of Ploiesti, Romania. Her expertise is in curriculum design and development (all grades, all subjects for pre-university education), curriculum administration, teacher training, textbook development (mathematics), Educational management, and international consultancy in education.

Dr. Nerida Ellerton has two doctoral qualifications: one in theoretical and physical chemistry and one in mathematics education. She is an experienced teacher, with a specialist focus on mathematics and has taught at elementary, secondary and college levels. She was Dean of the Faculty of Education at the University of Southern Queensland for four years and is currently a full professor at Illinois State University in the Department of Mathematics.

Dr. Jinfa Cai is an affiliated Full Professor in the School of Education at the University of Delaware. His primary appointment is in the Department of Mathematical Sciences. His research interests include cognitive studies of the teaching and learning of mathematics, mathematical assessment, cross-cultural studies, problem solving and teacher education.

Reviews

“This edited book of 26 chapters is divided into four parts: defining the field; mathematical problem posing in the school curriculum, mathematical problem posing in teacher education, and concluding remarks. … there are many examples of problem-posing tasks scattered throughout the book’s many chapters. … the book is for mathematics education graduate students, but it could also be useful for mathematics teachers at a variety of levels who could gain ideas and tasks for classroom use.” (Annie Selden, MAA Reviews, maa.org, January, 2016)


Table of contents (26 chapters)

  • Problem-Posing Research in Mathematics Education: Some Answered and Unanswered Questions

    Cai, Jinfa (et al.)

    Pages 3-34

  • Problem Posing from a Modelling Perspective

    Hansen, Ragnhild (et al.)

    Pages 35-46

  • Conceptualizing Problem Posing via Transformation

    Milinković, Jasmina

    Pages 47-70

  • Using Digital Technology for Mathematical Problem Posing

    Abramovich, Sergei (et al.)

    Pages 71-102

  • On the Relationship Between Problem Posing, Problem Solving, and Creativity in the Primary School

    Bonotto, Cinzia (et al.)

    Pages 103-123

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4614-6258-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-1-4614-6257-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4939-4747-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Problem Posing
Book Subtitle
From Research to Effective Practice
Editors
  • Florence Mihaela Singer
  • Nerida F. Ellerton
  • Jinfa Cai
Series Title
Research in Mathematics Education
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6258-3
DOI
10.1007/978-1-4614-6258-3
Hardcover ISBN
978-1-4614-6257-6
Softcover ISBN
978-1-4939-4747-8
Edition Number
1
Number of Pages
XXXI, 569
Number of Illustrations and Tables
96 b/w illustrations, 52 illustrations in colour
Topics