Part I. Defining the Field: Interpreting Problem Posing
in the Context of Mathematics Education
1 Problem-Posing Research in Mathematics Education:
Some Answered and Unanswered Questions ....................... 3
Jinfa Cai, Stephen Hwang, Chunlian Jiang, and Steven Silber
2 Problem Posing from a Modelling Perspective ................. 35
Ragnhild Hansen and Gert M. Hana
3 Conceptualizing Problem Posing via Transformation ........... 47
Jasmina Milinković
4 Using Digital Technology for Mathematical Problem Posing .... 71
Sergei Abramovich and Eun Kyeong Cho
5 On the Relationship Between Problem Posing, Problem
Solving, and Creativity in the Primary School .............. 103
Cinzia Bonotto and Lisa Dal Santo
6 Beyond Routine: Fostering Creativity in Mathematics
Classrooms ................................................. 125
Vincent J. Matsko and Jerald Thomas
7 Is Problem Posing a Tool for Identifying and Developing
Mathematical Creativity? ................................... 141
Florence Mihaela Singer and Cristian Voica
Part II. Mathematical Problem Posing in the School
Mathematics Curriculum
8 Problem Posing as Reformulation and Sense-Making
Within Problem Solving ..................................... 177
Victor V. Citarelli and Volkan Sevim
9 From Problem Posing to Posing Problems via Explicit
Mediation in Grades 4 and 5 ................................ 195
Sharada Gade and Charlotta Blomqvist
10 Problem Posing as Providing Students
with Content-Specific Motives .............................. 215
Kees Klaassen and Michiel Doorman
11 Statistical Literacy in the Elementary School:
Opportunities for Problem Posing ........................... 241
Lyn D. English and Jane M. Watson
12 Problem Posing in the Upper Grades Using Computers ......... 257
Mitsunori Imaoka, Tetsu Shimomura, and Eikoh Kanno
13 Using Problem Posing as a Formative Assessment Tool ........ 273
Meek Lin Kwek
14 An Investigation of High School Students' Mathematical
Problem Posing in the United States and China .............. 293
Xianwei Van Harpen and Norma Presmeg
15 Enhancing the Development of Chinese Fifth-Graders'
Problem-Posing and Problem-Solving Abilities,
Beliefs, and Attitudes: A Design Experiment ................ 309
Limin Chen, Wim Van Dooren, and Lieven Verschaffel
Part III. Mathematics Problem Posing in Teacher Education
Programs and Teacher Professional Development
16 Middle Grade Preservice Teachers' Mathematical
Problem Solving and Problem Posing ......................... 333
Roslinda Rosli, Mary Margaret Capraro, Dianne Goldsby,
Elsa Gonzalez у Gonzalez, Anthony J. Onwuegbuzie, and
Robert M. Capraro
17 Problem-Posing/Problem-Solving Dynamics in the Context
of a Teaching-Research and Discovery Method ................ 355
Vrunda Prabhu and Bronislaw Czarnocha
18 Problem Posing for and Through Investigations
in a Dynamic Geometry Environment ......................... 373
Roza Leikin
19 Problem Posing Activities in a Dynamic Geometry
Environment: When and How .................................. 393
Ilana Lavy
20 Developing the Problem-Posing Abilities of Prospective
Elementary and Middle School Teachers ...................... 411
Todd A. Grundmeier
21 Problem Posing in Primary School Teacher Training .......... 433
Alena Hošpesová and Marie Tichá
22 What Do High School Teachers Mean by Saying
"I Pose My Own Problems"? .................................. 449
Michal Klinshtern, Boris Koichu, and Avi Berman
23 A Review on Problem Posing in Teacher Education ............ 469
Helena P. Osana and Ildiko Pelczer
24 A Collection of Problem-Posing Experiences for Prospective
Mathematics Teachers that Make a Difference ................ 493
Sandra Crespo
25 Problem Posing as an Integral Component
of the Mathematics Curriculum: A Study with Prospective
and Practicing Middle-School Teachers ...................... 513
Nerida F. Ellerton
Part IV. Mathematics Problem Posing: Some Concluding
Comments
26 Problem Posing in Mathematics: Reflecting on the Past,
Energizing the Present, and Foreshadowing the Future ....... 547
Nerida F. Ellerton, Florence Mihaela Singer, and Jinfa Cai
Author Index .................................................. 557
Subject Index ................................................. 565
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