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  • © 2016

Posing and Solving Mathematical Problems

Advances and New Perspectives

  • Approaches mathematical problem posing and mathematical problem solving as a unit rather than as separate areas of study
  • Provides new research perspectives in the field of mathematical problem posing and solving
  • Contains sections targeted toward teachers and students
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xi
  2. Problem Posing and Solving Today

    1. Front Matter

      Pages 1-1
    2. How Do Textbooks Incorporate Mathematical Problem Posing? An International Comparative Study

      • Jinfa Cai, Chunlian Jiang, Stephen Hwang, Bikai Nie, Dianshun Hu
      Pages 3-22
    3. Affective Factors and Beliefs About Mathematics of Young Chilean Children: Understanding Cultural Characteristics

      • Valentina Giaconi, María Leonor Varas, Laura Tuohilampi, Markku Hannula
      Pages 37-51
    4. On the Role of Corporeality, Affect, and Metaphoring in Problem-Solving

      • Nicolás Libedinsky, Jorge Soto-Andrade
      Pages 53-67
  3. Students, Problem Posing, and Problem Solving

    1. Front Matter

      Pages 115-115
    2. Pupils’ Drawings as a Research Tool in Mathematical Problem-Solving Lessons

      • Erkki Pehkonen, Maija Ahtee, Anu Laine
      Pages 167-188
    3. Proportional Word Problem Solving Through a Modeling Lens: A Half-Empty or Half-Full Glass?

      • Tine Degrande, Lieven Verschaffel, Wim Van Dooren
      Pages 209-229
    4. Conceptual Model-Based Problem Solving

      • Yan Ping Xin
      Pages 231-254
  4. Teachers, Problem Posing, and Problem Solving

    1. Front Matter

      Pages 261-261

About this book

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers.

The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Editors and Affiliations

  • University of Chile, Santiago, Chile

    Patricio Felmer

  • University of Helskini, Helsinki, Finland

    Erkki Pehkonen

  • University of Georgia, Athens, USA

    Jeremy Kilpatrick

About the editors

Patricio Felmer is a mathematician working at the University of Chile, specialized in the area of Partial Differential Equations. During the last years he has contributed to Mathematics Education, working in projects for the Chilean government on the definition of Standards for the Formation of Mathematics Teachers and on the development of material for them. Lately he has been working in R&D projects aiming to implement professional development strategies based on problem solving for in-service teachers. 

Dr. Erkki Pehkonen is a full professor (emer.) in the field of mathematics and informatics education in the Department of Teacher Education at the University of Helsinki in Finland. He is interested in problem solving with a focus on motivating middle grade pupils, as well as in understanding pupils’ and teachers’ beliefs and conceptions about mathematics teaching.

Jeremy Kilpatrick is Regents Professor of Mathematics Education at the University of Georgia.  He has taught at European and Latin American universities, receiving four Fulbright awards.  He holds an honorary doctorate from the University of Gothenburg and is a Fellow of the American Educational Research Association, a National Associate of the National Academy of Sciences, and a member of the National Academy of Education.   He received a Lifetime Achievement Award from the National Council of Teachers of Mathematics and the 2007 Felix Klein Medal from the International Commission on Mathematical Instruction.  His research interests include proficiency in mathematics teaching, curriculum change and its history, assessment, and the history of research in mathematics education.

Bibliographic Information

  • Book Title: Posing and Solving Mathematical Problems

  • Book Subtitle: Advances and New Perspectives

  • Editors: Patricio Felmer, Erkki Pehkonen, Jeremy Kilpatrick

  • Series Title: Research in Mathematics Education

  • DOI: https://doi.org/10.1007/978-3-319-28023-3

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-28021-9Published: 10 May 2016

  • Softcover ISBN: 978-3-319-80259-6Published: 26 May 2018

  • eBook ISBN: 978-3-319-28023-3Published: 29 April 2016

  • Series ISSN: 2570-4729

  • Series E-ISSN: 2570-4737

  • Edition Number: 1

  • Number of Pages: XI, 402

  • Number of Illustrations: 33 b/w illustrations, 66 illustrations in colour

  • Topics: Mathematics Education, Learning & Instruction

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
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