Problem Solving in Mathematics Instruction and Teacher Professional Development

✍ Scribed by Patricio Felmer, Peter Liljedahl, Boris Koichu

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 417
• Series: Research in Mathematics Education
• Edition: 1st ed. 2019
• Category: Library

✦ Synopsis

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.

✦ Table of Contents

Front Matter ....Pages i-xvii
Front Matter ....Pages 1-1
Reforming School Mathematics: Two Levels of Structure (Peter Taylor)....Pages 3-22
Problem Solving as a Subject and as a Pedagogical Approach, and the Ongoing Dialogue Between Mathematics and Mathematics Education (Frédéric Gourdeau)....Pages 23-42
A Discursively Oriented Conceptualization of Mathematical Problem Solving (Boris Koichu)....Pages 43-66
Acknowledging the Ouroboros: An Enactivist and Metaphoric Approach to Problem Posing and Problem Solving (Jorge Soto-Andrade, Alexandra Yáñez-Aburto)....Pages 67-85
Front Matter ....Pages 87-87
Pre-parative and Post-parative Play as Key Components of Mathematical Problem Solving (John Mason)....Pages 89-110
An Alternative Method to Promote Pupils’ Mathematical Understanding via Problem Solving (Erkki Pehkonen)....Pages 111-122
Geometric Modeling Tasks and Opportunity to Learn Geometry: The Ranking Triangles Task Revisited (Patricio Herbst)....Pages 123-143
A Mathematical Problem-Solving Approach Based on Digital Technology Affordances to Represent, Explore, and Solve problems via Geometric Reasoning (Manuel Santos-Trigo, Daniel Aguilar-Magallón, Isaid Reyes-Martínez)....Pages 145-166
Stepped Tasks: Top-Down Structure of Varying Mathematical Challenge (Roza Leikin)....Pages 167-184
Front Matter ....Pages 185-185
Collaborative Learning to Improve Problem-Solving Skills: A Relation Affecting Through Attitude Toward Mathematics (Farzaneh Saadati, Cristián Reyes)....Pages 187-202
Changing Beliefs: The Case of First-Person Vicarious Experiences (Annette Rouleau, Natalia Ruiz, Cristián Reyes, Peter Liljedahl)....Pages 203-218
Examining Sources of Self-Efficacy in Whole-Class Problem Solving (Annette Rouleau, Natalia Ruiz, Cristián Reyes, Peter Liljedahl)....Pages 219-239
Using Culturally Embedded Problem-Solving Tasks to Promote Equity Within Mathematical Inquiry Communities (Roberta Hunter, Jodie Hunter)....Pages 241-257
Front Matter ....Pages 259-259
Do Not Interrupt Students’ Work: How Teacher Interactions Influence Team’s Problem-Solving Capabilities (Sergio Celis, Carlos Quiroz, Valentina Toro-Vidal)....Pages 261-278
Teacher Guidance in Mathematical Problem-Solving Lessons: Insights from Two Professional Development Programs (Markus Hähkiöniemi, John Francisco)....Pages 279-296
Mathematics Teachers’ Specialised Knowledge in Managing Problem-Solving Classroom Tasks (José Carrillo, Nuria Climent, Luis C. Contreras, Miguel Á. Montes)....Pages 297-316
Teacher Questioning in Problem Solving in Community College Algebra Classrooms (Angeliki Mali, Saba Gerami, Amin Ullah, Vilma Mesa)....Pages 317-335
Front Matter ....Pages 337-337
Chaos, Control, and Need: Success and Sustainability of Professional Development in Problem Solving (Lisa Darragh, Darinka Radovic)....Pages 339-358
Teachers’ Mathematical Tensions Surfacing During the First Session of a Problem-Solving Professional Development Workshop (Josefa Perdomo-Díaz, Patricio Felmer, Cristóbal Rojas)....Pages 359-378
Stereotypes and the Education of In-Service Mathematics Teachers in Urban Schools (Luz Valoyes-Chávez)....Pages 379-399
Back Matter ....Pages 401-410

✦ Subjects

Education; Mathematics Education; Learning and Instruction; Teaching and Teacher Education