Introduction

2.Principles UnderlyingEffective MathematicsInstructionChapter ContentsFoster Positive Mathematical Attitudes . . . . . . . . . . . . . . . . . . . . . . 24Focus on Conceptual Understanding . . . . . . . . . . . . . . . . . . . . . . . . 24Involve Students Actively in Their Learning . . . . . . . . . . . . . . . . . . . 26Acknowledge and Utilize Students’ Prior Knowledge . . . . . . . . . . . 28Provide Developmentally Appropriate Learning Tasks . . . . . . . . . . 28Respect How Each Student Learns . . . . . . . . . . . . . . . . . . . . . . . . . . 31Provide a Culture and Climate for Learning . . . . . . . . . . . . . . . . . . 32Recognize the Importance of Metacognition . . . . . . . . . . . . . . . . . 33Focus on the Significant Mathematical Concepts (“Big Ideas”) . . . . . 33Diversity and Effective Instruction . . . . . . . . . . . . . . . . . . . . . . . . . . 34A Checklist for Inclusive Mathematics Instruction . . . . . . . . . . . . . . 37AppendixAppendix 2-1: Accommodations and Modifications . . . . . . . . . . . . . . 41