Differentiating Math Instruction : Strategies That Work for K-8 Classrooms!

by Bender, William

• ISBN13: 9780761931485
• ISBN10: 0761931481
• Format: Paperback
• Copyright: 2005-05-18
• Publisher: Corwin Pr

Summary

The latest studies and classroom-tested best practices have been mined and are now presented in an easy-access, time-saving format that spans lesson planning through implementation.

Table of Contents

Preface	vii
How to Use This Book	vii
About the Author	ix
The Mathematical Brain: Differentiated Instruction and Mathematical Thinking	1	(26)
Teaching Mathematics Through Differentiating Instruction	1	(2)
The Mathematical Brain	3	(3)
Brains as Prioritizing Filters	6	(1)
Number Sense	7	(1)
Multiple Intelligences: Avenues for Learning Math	8	(2)
Summary of Brain Research	10	(4)
Instructional Phases for Developing Math Skills	14	(4)
Teaching Strategy: Mathematical Games to Develop Number Sense	18	(2)
Teaching Strategy: Planning for Multiple Intelligences	20	(5)
What's Next?	25	(2)
Planning for Differentiated Math Instruction	27	(20)
From Direct Instruction to Differentiated Instruction	27	(1)
Teaching Phases in the Direct Instruction Lesson	28	(2)
Problems With Direct Instruction in a Large Class	30	(1)
Teaching Strategy: The Guess, Assess, and Tear Out Tactic	30	(2)
A Differentiated Instruction Lesson Example	32	(1)
Teaching Strategy: Using Guess, Assess, and Tear Out! Moving From Direct Instruction to Differentiated Instruction in Math	32	(2)
The Omega Group	34	(2)
The Mainline Instruction Group	36	(1)
The Beta Group	36	(2)
Is Further Differentiation Needed?	38	(1)
Anything Wrong With This Scenario? Enhancing the Differentiated Instruction Model	38	(2)
Guidelines for Differentiated Lesson Planning	40	(2)
Results of Differentiated Lessons	42	(2)
A Differentiated Instruction Overview: What It Is and What It Isn't	44	(1)
What's Next?	45	(2)
Differentiating for Abstract Math Comprehension	47	(22)
Steps in Developing Early Math Skills	47	(3)
Teaching Strategy: A Concrete, Semi-Concrete, Abstract Learning Tactic	50	(4)
Using CSA in the Classroom	54	(4)
Summary: CSA Tactic	58	(1)
Teaching Strategy: The Errorless Learning Procedures	59	(5)
Summary: Errorless Learning	64	(1)
Teaching Strategy: Classwide Peer Tutoring for Differentiated Instruction	65	(2)
What's Next?	67	(2)
Differentiating for Conceptual Development and Deep Understanding	69	(24)
Constructivist Theory and Understanding of Mathematics	69	(4)
Using Cognitive Guided Visualization	73	(1)
Scaffolded Instruction in Math	74	(3)
Debate on What a Scaffold Is	77	(4)
Graphic Representations of Word Problem Schemas	81	(1)
Using a Representational Strategy	82	(3)
Teaching Expanded Notation and Partialing	85	(2)
Process Mnemonics Strategies to Teach Computation	87	(3)
Research Support	90	(1)
What's Next?	90	(3)
Differentiating for Elementary Word Problem Solving	93	(16)
The Brain Research Basis for Metacognitive Theory and Tactics	93	(2)
Learning Strategies for Word Problems	95	(6)
The Schema-Based Math Strategy	101	(5)
Differentiated Tear Out Activities for Story Problem Schemas	106	(1)
What's Next?	107	(2)
Differentiating for Higher Order Learning	109	(14)
Working Toward Higher Order Thinking	109	(1)
Teaching Strategy: Anchored Instruction	110	(5)
The PASS Strategy	115	(5)
Moving on Up! Math Instruction Guidelines for Secondary Learners	120	(3)
References	123	(4)
Index	127	(4)
A Workshop Facilitator's Guide	131