Posing and Solving Mathematical Problems: Advances and New Perspectives

Front Matter....Pages i-xi
Front Matter....Pages 1-1
How Do Textbooks Incorporate Mathematical Problem Posing? An International Comparative Study....Pages 3-22
Problem-Posing and Questioning: Two Tools to Help Solve Problems....Pages 23-36
Affective Factors and Beliefs About Mathematics of Young Chilean Children: Understanding Cultural Characteristics....Pages 37-51
On the Role of Corporeality, Affect, and Metaphoring in Problem-Solving....Pages 53-67
Reformulating: Approaching Mathematical Problem Solving as Inquiry....Pages 69-81
Improving of Mathematical Problem-Solving: Some New Ideas from Old Resources....Pages 83-108
Part 1 Reaction: Problem Posing and Solving Today....Pages 109-113
Front Matter....Pages 115-115
Can Mathematical Problem Solving Be Taught? Preliminary Answers from 30 Years of Research....Pages 117-135
Teaching Mathematical Problem Solving in Hungary for Students Who Have Average Ability in Mathematics....Pages 137-156
“Memorable Diagonals”: Exploratory Problems as Propositions for Doing Mathematics....Pages 157-165
Pupils’ Drawings as a Research Tool in Mathematical Problem-Solving Lessons....Pages 167-188
The Use of Digital Technology to Frame and Foster Learners’ Problem-Solving Experiences....Pages 189-207
Proportional Word Problem Solving Through a Modeling Lens: A Half-Empty or Half-Full Glass?....Pages 209-229
Conceptual Model-Based Problem Solving....Pages 231-254
Reaction: Students, Problem Posing, and Problem Solving....Pages 255-260
Front Matter....Pages 261-261
When Is a Problem…? “When” Is Actually the Problem!....Pages 263-285
Novice Chilean Secondary Mathematics Teachers as Problem Solvers....Pages 287-308
Infusing Mathematical Problem Solving in the Mathematics Curriculum: Replacement Units....Pages 309-325
Mathematical Problem Posing: A Case of Elementary School Teachers Developing Tasks and Designing Instructions in Taiwan....Pages 327-344
Mathematical Problem Solving and Teacher Professional Learning: The Case of a Modified PISA Mathematics Task....Pages 345-360
Front Matter....Pages 261-261
Building Thinking Classrooms: Conditions for Problem-Solving....Pages 361-386
Reaction: Teachers, Problem Posing and Problem-Solving....Pages 387-391
Back Matter....Pages 393-402