Mathematical Problem Solving

Introduction - Peter Liljedahl & Manuel Santos Trigo.- 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 & Hélia Jacinto.- 4.    Mathematical problem solving and the use of digital technologies - Manuel Santos-Trigo.- 5. The spreadsheet affordances in solving complex word problems - Nélia Amado, Susana Carreira & Sandra Nobre.- Section 3: inquiry and problem posing in mathematics education.- 6. Is Inquiry-Based Approach possible at the elementary school? - Magali Hersant & Christine Choquet.- 7.    How to stimulate in-service teachers' competencein didactic analysis by means of problem posing - Uldarico Malspina et al.- Section 4: assessment of and through problem solving.- 8.    Exploring Methods in Evaluating Metacognitive Strategies in Mathematical Problem Solving - Mei Yoke Loh & Ngan Hoe Lee.- 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 & Giulia Signorini.- Section 5: the problem solving environment.- 11. Creating and sustaining online problem-solving forums: Two perspectives - Boris Koichu & Nelly Keller.- 12. Conditions for Supporting Problem Solving: Vertical Non-Permanent Surfaces - Peter Liljedahl.- 13. The ARPA experience in Chile: Problem Solving for Teachers' Professional Development - Patricio Felmer, Josefa Perdomo-Díaz, & Cristián Reyes.- Conclusion -

"The volume will be a useful addition to the libraries of education researchers and to mathematics teacher educators who are charged with supporting preservice or inservice teachers' development of capacities to incorporate problem solving into their instruction. ... this volume offer interesting insights into the phenomenon of problem solving and the technological tools and learning environments that support students to engage in problem solving." (Duane Gaysay, MAA Reviews, August 16, 2020)