Mathematical Problem Solving (eBook)
XI, 362 Seiten
Springer-Verlag
978-3-030-10472-6 (ISBN)
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.
Introduction Section 1: problem solving heuristics1.Looking Back to Solve Differently: Familiarity, Fluency, and Flexibility - Hartono Tjoe2.Future-oriented Thinking and Activity in Mathematical Problem Solving - Wes MaciejewskiSection 2: problem solving and technology3.A model of mathematical problem solving with technology: the case of Marco solving-and-expressing two geometry problems - Susana Carreira and Hélia Jacinto4.Mathematical problem solving and the use of digital technologies - Manuel Santos-Trigo5.The spreadsheet affordances in solving complex word problems - Nélia Amado, Susana Carreira and Sandra NobreSection 3: inquiry and problem posing in mathematics education6.Is Inquiry-Based Approach possible at the elementary school? - Magali Hersant and Christine Choquet7.How to stimulate in-service teachers’ competence in didactic analysis by means of problem posing – Uldarico Malspina, Carlos Torres, and Norma RubioSection 4: assessment of and through problem solving8.Exploring Methods in Evaluating Metacognitive Strategies in Mathematical Problem Solving – LOH Mei Yoke and Lee Ngan Hoe9.Assessing Inquiry-Based-Mathematics-Education with both a summative and formative purpose - Maud Chanudet10.Beyond the standardized assessment of mathematical problem solving competencies: from products to processes - Pietro Di Martino and Giulia Signorini11.Toward Designing and Developing Likert Items to Assess Mathematical Problem Solving - James A. Mendoza Alvarez, Kathryn Rhoads, and Cavender CampbellSection 5: the problem solving environment12.Creating and sustaining online problem-solving forums: Two perspectives - Boris Koichu and Nelly Keller13.Conditions for Supporting Problem Solving: Vertical Non-Permanent Surfaces - Peter Liljedahl14.The ARPA Experience in Chile: Problem Solving for Teachers’ Professional Development - Patricio Felmer, Josefa Perdomo-Díaz, and Cristián Reyes15.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 DindyalConclusion
| Erscheint lt. Verlag | 12.2.2019 |
|---|---|
| Reihe/Serie | ICME-13 Monographs |
| Zusatzinfo | XI, 362 p. 112 illus., 82 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Themenwelt | Sozialwissenschaften ► Pädagogik ► Schulpädagogik / Grundschule |
| Schlagworte | Activating Problem Solving in the Classroom • ARPA • Creating and sustaining online problem-solving forums • Didactic analysis by means of problem posing • Future-oriented Thinking in Mathematical Problem Solving • Mathematical Problem Solving • Mathematical problem solving competencies • Mathematical problem solving with technology • Methods in Evaluating Metacognitive Strategies • Problem Posing in Mathematics Education • Problem solving environment • Problem Solving Heuristics • Spreadsheet affordances in solving complex word problems |
| ISBN-10 | 3-030-10472-9 / 3030104729 |
| ISBN-13 | 978-3-030-10472-6 / 9783030104726 |
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