Mathematical problem solving : current themes, trends and research

著者

    • Liljedahl, Peter
    • Santos-Trigo, Manuel

書誌事項

Mathematical problem solving : current themes, trends and research

Peter Liljedahl, Manuel Santos-Trigo, editors

（ICME-13 Monographs）

Springer Nature Switzerland AG, 2019

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注記

Includes bibliographical references

Description based on online resource; title from digital title page (viewed on March 19, 2019)

収録内容

  • Intro; Contents; Introduction; Problem Solving Heuristics; 1 "Looking Back" to Solve Differently: Familiarity, Fluency, and Flexibility; 1.1 Conceptual Framework; 1.1.1 Problem-Solving Process; 1.1.2 Problem Solving Using Multiple Solution Methods; 1.2 M
  • 2.2.2 Students Engaging with Mathematical Foresight2.3 Methods; 2.4 Results; 2.4.1 Sphere of Resolution; 2.4.2 Resolution Trajectory; 2.4.3 Discussion of Results from Student Interviews; 2.5 Overall Discussion; References; Problem Solving and Technology;
  • 3.4.1 Marco's Processes in Solving a Mathematical Problem with Technology Based on the Digital Solution3.4.2 Marco's Processes in Solving a Mathematical Problem with Technology Based on the Observed Activity; 3.4.3 A Summary of the Processes Involved in
  • 4.2 A Focus on Problem-Solving Activities4.2.1 On the Use of Technology to Construct and Explore Dynamic Models; 4.2.2 Technology Affordances and Mathematical Explorations; 4.3 Problems as a Departure Point to Engage Students in Mathematical Thinking; 4.
  • 5 The Spreadsheet Affordances in Solving Complex Word Problems5.1 Introduction; 5.2 Theoretical Background; 5.2.1 Informal Versus Formal Methods in Problem Solving; 5.2.2 Problem Solving in the Development of Algebraic Thinking; 5.2.3 The Spreadsheet in
  • 6.1 Inquiry-Based Learning: An Inquiry Processes That Is Difficult to Implementation in Classroom

内容説明・目次

内容説明

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.

目次

Introduction Section 1: problem solving heuristics 1. Looking Back to Solve Differently: Familiarity, Fluency, and Flexibility - Hartono Tjoe 2. Future-oriented Thinking and Activity in Mathematical Problem Solving - Wes Maciejewski Section 2: problem solving and technology 3. A model of mathematical problem solving with technology: the case of Marco solving-and-expressing two geometry problems - Susana Carreira and Helia Jacinto 4. Mathematical problem solving and the use of digital technologies - Manuel Santos-Trigo 5. The spreadsheet affordances in solving complex word problems - Nelia Amado, Susana Carreira and Sandra Nobre Section 3: inquiry and problem posing in mathematics education 6. Is Inquiry-Based Approach possible at the elementary school? - Magali Hersant and Christine Choquet 7. How to stimulate in-service teachers' competence in didactic analysis by means of problem posing - Uldarico Malspina, Carlos Torres, and Norma Rubio Section 4: assessment of and through problem solving 8. Exploring Methods in Evaluating Metacognitive Strategies in Mathematical Problem Solving - LOH Mei Yoke and Lee Ngan Hoe 9. Assessing Inquiry-Based-Mathematics-Education with both a summative and formative purpose - Maud Chanudet 10. Beyond the standardized assessment of mathematical problem solving competencies: from products to processes - Pietro Di Martino and Giulia Signorini 11. Toward Designing and Developing Likert Items to Assess Mathematical Problem Solving - James A. Mendoza Alvarez, Kathryn Rhoads, and Cavender Campbell Section 5: the problem solving environment 12. Creating and sustaining online problem-solving forums: Two perspectives - Boris Koichu and Nelly Keller 13. Conditions for Supporting Problem Solving: Vertical Non-Permanent Surfaces - Peter Liljedahl 14. The ARPA Experience in Chile: Problem Solving for Teachers' Professional Development - Patricio Felmer, Josefa Perdomo-Diaz, and Cristian Reyes 15. Understanding the Sustainability of a Teaching Innovation for Problem Solving: A Systems Approach - Ho Weng Kin, Romina Ann S. Yap, Tay Eng Guan, Leong Yew Hoong, Toh Tin Lam, Quek Khiok Seng, Toh Pee Choon, and Jaguthsing Dindyal Conclusion

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