Meet the Authors |
|
vii | |
Introduction |
|
ix | |
|
1 Overview of Response to Intervention in Mathematics |
|
|
1 | (6) |
|
What Is Response to Intervention? |
|
|
1 | (4) |
|
|
5 | (1) |
|
|
6 | (1) |
|
2 Using Assessment to Make Instructional Decisions |
|
|
7 | (14) |
|
Step 1 Problem Identification |
|
|
8 | (2) |
|
|
10 | (3) |
|
Step 3 Intervention Plan Development |
|
|
13 | (2) |
|
Step 4 Plan Implementation |
|
|
15 | (1) |
|
|
16 | (4) |
|
|
20 | (1) |
|
3 Overview of Evidence-Based Practices for Teaching Mathematics |
|
|
21 | (12) |
|
Evidence-Based Practices for the Core Curriculum (Tier 1) |
|
|
21 | (4) |
|
Interventions to Support Students Who Struggle in Mathematics (Tiers 2 & 3) |
|
|
25 | (5) |
|
|
30 | (3) |
|
4 Setting the Stage: Increasing Motivation |
|
|
33 | (14) |
|
|
33 | (1) |
|
Increasing Motivation by Creating Meaningful, Engaging Lessons |
|
|
34 | (1) |
|
Using Self-Monitoring and Goal-Setting to Increase Motivation |
|
|
35 | (1) |
|
|
36 | (2) |
|
|
38 | (7) |
|
|
45 | (2) |
|
|
47 | (16) |
|
Instructional Considerations for Struggling Learners |
|
|
47 | (3) |
|
The Explicit Instruction Lesson |
|
|
50 | (11) |
|
How Explicit Instruction Improves Motivation |
|
|
61 | (1) |
|
|
61 | (2) |
|
6 Concrete and Visual Representation |
|
|
63 | (10) |
|
Research on the Concrete-Pictorial-Abstract (CPA) Sequence |
|
|
64 | (5) |
|
Recommendations for Implementing the CPA Sequence |
|
|
69 | (2) |
|
|
71 | (2) |
|
7 Developing Number Sense |
|
|
73 | (16) |
|
Counting and Representing Whole Numbers |
|
|
73 | (7) |
|
|
80 | (1) |
|
|
81 | (5) |
|
|
86 | (3) |
|
8 Operations with Whole Numbers: Addition and Subtraction |
|
|
89 | (16) |
|
Developing Conceptual Understanding of Addition and Subtraction |
|
|
89 | (7) |
|
Developing Computational Fluency with Basic Facts |
|
|
96 | (1) |
|
Solving Multi-Digit Addition and Subtraction Problems |
|
|
96 | (6) |
|
Intensifying Instruction during Interventions |
|
|
102 | (1) |
|
|
103 | (2) |
|
9 Operations with Whole Numbers: Multiplication and Division |
|
|
105 | (14) |
|
Developing Conceptual Understanding of Multiplication |
|
|
105 | (4) |
|
Developing Fluency with Multiplication and Division Facts |
|
|
109 | (1) |
|
Multiplication with Rectangular Arrays |
|
|
110 | (2) |
|
The Standard Algorithm for Multiplication |
|
|
112 | (3) |
|
|
115 | (2) |
|
Intensifying Instruction During Interventions |
|
|
117 | (1) |
|
|
118 | (1) |
|
|
119 | (28) |
|
Developing Strategies for Solving Basic Facts |
|
|
121 | (16) |
|
|
137 | (7) |
|
|
144 | (3) |
|
11 Representing Rational Numbers |
|
|
147 | (28) |
|
|
147 | (18) |
|
|
165 | (6) |
|
|
171 | (1) |
|
|
171 | (2) |
|
|
173 | (2) |
|
|
175 | (24) |
|
Problem-Solving in the Core Curriculum (Tier 1) |
|
|
175 | (3) |
|
Teaching Problem-Solving During Interventions (Tier 2 & Tier 3) |
|
|
178 | (19) |
|
|
197 | (2) |
|
13 Conclusion: Using RtI to Improve Achievement in Mathematics |
|
|
199 | (8) |
|
Selecting Materials for Core Instruction (Tier 1) |
|
|
199 | (3) |
|
Selecting Materials for Interventions (Tiers 2 & 3) |
|
|
202 | (2) |
|
|
204 | (2) |
|
|
206 | (1) |
References |
|
207 | |