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Mathematical Problem Posing

From Research to Effective Practice

  • 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

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

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Table of contents (26 chapters)

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

      • Jinfa Cai, Stephen Hwang, Chunlian Jiang, Steven Silber
      Pages 3-34
    3. Problem Posing from a Modelling Perspective

      • Ragnhild Hansen, Gert M. Hana
      Pages 35-46
    4. Conceptualizing Problem Posing via Transformation

      • Jasmina Milinković
      Pages 47-70
    5. Using Digital Technology for Mathematical Problem Posing

      • Sergei Abramovich, Eun Kyeong Cho
      Pages 71-102
    6. Beyond Routine: Fostering Creativity in Mathematics Classrooms

      • Vincent J. Matsko, Jerald Thomas
      Pages 125-139
    7. Is Problem Posing a Tool for Identifying and Developing Mathematical Creativity?

      • Florence Mihaela Singer, Cristian Voica
      Pages 141-174
  3. Mathematical Problem Posing in the School Mathematics Curriculum

    1. Front Matter

      Pages 175-175
    2. Problem Posing as Reformulation and Sense-Making Within Problem Solving

      • Victor V. Cifarelli, Volkan Sevim
      Pages 177-194
    3. Problem Posing as Providing Students with Content-Specific Motives

      • Kees Klaassen, Michiel Doorman
      Pages 215-240
    4. Problem Posing in the Upper Grades Using Computers

      • Mitsunori Imaoka, Tetsu Shimomura, Eikoh Kanno
      Pages 257-272
  4. Mathematics Problem Posing in Teacher Education Programs and Teacher Professional Development

    1. Front Matter

      Pages 331-331
    2. Middle-Grade Preservice Teachers’ Mathematical Problem Solving and Problem Posing

      • Roslinda Rosli, Mary Margaret Capraro, Dianne Goldsby, Elsa Gonzalez y Gonzalez, Anthony J. Onwuegbuzie, Robert M. Capraro
      Pages 333-354

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.

​​

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)

Editors and Affiliations

  • Department of Educational Sciences, University of Ploiesti, Bucharest, Romania

    Florence Mihaela Singer

  • Department of Mathematics, Illinois State University, Normal, USA

    Nerida F. Ellerton

  • Department of Mathematical Sciences, University of Delaware, Newark, USA

    Jinfa Cai

About the editors

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.

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

  • DOI: https://doi.org/10.1007/978-1-4614-6258-3

  • Publisher: Springer New York, NY

  • eBook Packages: Humanities, Social Sciences and Law, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Business Media, LLC, part of Springer Nature 2015

  • Hardcover ISBN: 978-1-4614-6257-6Published: 15 June 2015

  • Softcover ISBN: 978-1-4939-4747-8Published: 09 October 2016

  • eBook ISBN: 978-1-4614-6258-3Published: 12 June 2015

  • Series ISSN: 2570-4729

  • Series E-ISSN: 2570-4737

  • Edition Number: 1

  • Number of Pages: XXXI, 569

  • Number of Illustrations: 96 b/w illustrations, 52 illustrations in colour

  • Topics: Mathematics Education

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access