: Karin Brodie
: Teaching Mathematical Reasoning in Secondary School Classrooms
: Springer-Verlag
: 9780387097428
: 1
: CHF 47.50
:
: Schulpädagogik, Didaktik, Methodik
: English
: 225
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, orwhymath works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities.

A sampling of the topics covered:

  • Whole- lass discussion methods for teaching mathematics reasoning.
  • earning mathematical reasoning through tasks.
  • Teac ing mathematics using the five strands.
  • Cl ssroom strategies for promoting mathematical reasoning.
  • aximizing student contributions in the classroom.
  • vercoming student resistance to mathematical conversations.
  • Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

Foreword5
Contents8
List of Tables12
Introduction to Part 113
Teaching Mathematical Reasoning: A Challenging Task19
Contexts, Resources, and Reform35
Introduction to Part 251
Mathematical Reasoning Through Tasks: Learners’ Responses55
Learning Mathematical Reasoning in a Collaborative Whole- Class Discussion69
Classroom Practices for Teaching and Learning Mathematical Reasoning85
Teaching Mathematical Reasoning with the Five Strands98
Teaching the Practices of Justification and Explanation113
Introduction to Part 3129
Learner Contributions131
Teacher Responses to Learner Contributions149
Dilemmas of Teaching Mathematical Reasoning176
Learner Resistance to Teacher Change191
Conclusions and Ways Forward: The “ Messy” Middle Ground206
Appendix214
References220
Index229