Mathematical Problem Solving: Current Themes, Trends, and Research

✍ Scribed by Peter Liljedahl, Manuel Santos-Trigo

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 361
• Series: ICME-13 Monographs
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xi
Front Matter ....Pages 1-1
“Looking Back” to Solve Differently: Familiarity, Fluency, and Flexibility (Hartono Tjoe)....Pages 3-20
Future-Oriented Thinking and Activity in Mathematical Problem Solving (Wes Maciejewski)....Pages 21-38
Front Matter ....Pages 39-39
A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems (Susana Carreira, Hélia Jacinto)....Pages 41-62
Mathematical Problem Solving and the Use of Digital Technologies (Manuel Santos-Trigo)....Pages 63-89
The Spreadsheet Affordances in Solving Complex Word Problems (Nélia Amado, Susana Carreira, Sandra Nobre)....Pages 91-109
Front Matter ....Pages 111-111
Is an Inquiry-Based Approach Possible at the Elementary School? (Magali Hersant, Christine Choquet)....Pages 113-131
How to Stimulate In-Service Teachers’ Didactic Analysis Competence by Means of Problem Posing (Uldarico Malaspina, Carlos Torres, Norma Rubio)....Pages 133-151
Front Matter ....Pages 153-153
The Impact of Various Methods in Evaluating Metacognitive Strategies in Mathematical Problem Solving (Mei Yoke Loh, Ngan Hoe Lee)....Pages 155-176
Assessing Inquiry-Based Mathematics Education with Both a Summative and Formative Purpose (Maud Chanudet)....Pages 177-207
Beyond the Standardized Assessment of Mathematical Problem Solving Competencies: From Products to Processes (Pietro Di Martino, Giulia Signorini)....Pages 209-229
Toward Designing and Developing Likert Items to Assess Mathematical Problem Solving (James A. Mendoza Álvarez, Kathryn Rhoads, R. Cavender Campbell)....Pages 231-260
Front Matter ....Pages 261-261
Creating and Sustaining Online Problem Solving Forums: Two Perspectives (Boris Koichu, Nelly Keller)....Pages 263-287
Conditions for Supporting Problem Solving: Vertical Non-permanent Surfaces (Peter Liljedahl)....Pages 289-310
The ARPA Experience in Chile: Problem Solving for Teachers’ Professional Development (Patricio Felmer, Josefa Perdomo-Díaz, Cristián Reyes)....Pages 311-337
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 et al.)....Pages 339-360
Back Matter ....Pages 361-362

✦ Subjects

Education; Mathematics Education; Teaching and Teacher Education; Study and Learning Skills; International and Comparative Education