Teaching Mathematical Reasoning in Secondary School Classrooms

ISBN-13: 9780387097411 / Angielski / Twarda / 2009 / 225 str.

Karin Brodie; Kurt Coetzee; Lorraine Lauf

Opis

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, or why math 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-class discussion methods for teaching mathematics reasoning.
• Learning mathematical reasoning through tasks.
• Teaching mathematics using the five strands.
• Classroom strategies for promoting mathematical reasoning.
• Maximizing student contributions in the classroom.
• Overcoming 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.

Recenzje

From the reviews:

"In her new book, Brodie surveys the methods and dilemmas involved in promoting mathematical reasoning among students who bring and have access to different kinds of resources for their mathematics learning. ... Her book is crafted in such a way that it is while written primarily for mathematics educators, it also speaks eloquently to teachers through the case studies, and to policymakers through concise and coherent summaries." (Victoria Hand, Educational Studies in Mathematics, Vol. 79, 2012)

"This book is timely and inspiring for teachers, researchers and teacher educators. ... this book is a valuable resource. It contributes to our developing understanding of mathematical reasoning and the way in which mathematics tasks and the practices of teachers promote students' mathematical reasoning. ... The book provides a strong foundation for further research of learners' mathematical reasoning and the teaching of mathematical reasoning and will inspire other mathematics teachers to research their practice." (Colleen Vale, The International Journal on Mathematics Education, Vol. 44, 2012)

Spis treści

to Part 1.- Teaching Mathematical Reasoning: A Challenging Task.- Contexts, Resources, and Reform.- to Part 2.- Mathematical Reasoning Through Tasks: Learners’ Responses.- Learning Mathematical Reasoning in a Collaborative Whole-Class Discussion.- Classroom Practices for Teaching and Learning Mathematical Reasoning.- Teaching Mathematical Reasoning with the Five Strands.- Teaching the Practices of Justification and Explanation.- to Part 3.- Learner Contributions.- Teacher Responses to Learner Contributions.- Dilemmas of Teaching Mathematical Reasoning.- Learner Resistance to Teacher Change.- Conclusions and Ways Forward: The “Messy” Middle Ground.