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Preface xiii
Foundations
Mathematics in Today's Schools: The Context for Learning Challenges 1
Mathematical Dispositions 3
Student Dispositions 6
Encouraging Students with Learning Problems 8
Mathematics Reform 9
National Mathematics Standards 10
Scope of the Mathematics Curriculum 15
Process Standards 15
Content Standards 17
High-Stakes Testing and Implications for Students with Learning Problems 23
Today's Mathematics Classrooms: A Case for Collaboration 24
Chapter Summary 26
Resources 27
Foundations of Mathematics Learning 28
Precursors of Mathematics Learning 29
Brain Development 30
Concepts and Skills Developed during Early Childhood 31
Development of Cognitive Structures Related to Mathematics 33
Importance of Informal Mathematics Knowledge 34
Signs of Learning Problems in Young Children 36
Developmentally Appropriate Mathematics for Young Children 36
Theories about Learning Applied to Mathematics 41
Behaviorist Theories 42
Cognitive Theories 43
Socio-Cultural Theories 44
Interrelated Theories 45
Constructivism 48
What Is Constructivism? 49
How Is Constructivism Related to Mathematics Learning? 51
Is Constructivism Relevant for Students with Learning Problems? 51
A Balanced View 52
Theories about Mathematics Disabilities and Student Characteristics 53
Specific Mathematics Disabilities 53
Characteristics of Students' Mathematics Learning Problems 54
Chapter Summary 57
Resources 58
Assessment and Instruction
Mathematics Assessment of Students with Learning Problems 59
Purposes of Assessment 60
Assessment for Students with Disabilities 60
Response to Intervention 61
Purposes of Broader Assessments 62
Assessment Standards 64
Standardized Tools for Individualized Mathematics Assessment 66
Alternative Mathematics Assessment of Students with Learning Problems 71
Curriculum-Based Assessment 73
Performance Tasks 77
Portfolios 79
Assessment Strategies 81
Classroom Assessment Systems 86
Assessing Higher-Order Processes 88
Collaboration for Assessment 92
Chapter Summary 93
Resources 93
Effective Mathematics Instruction for Students with Learning Problems 94
Principles of Mathematics Instruction 96
Planning and Delivering Instruction 112
Planning with Principles in Mind 112
Lesson-Specific Planning 118
Types of Mathematics Lessons 122
Developing a Student-Centered Mathematics Curriculum 126
Unit Planning in Mathematics 127
Advanced Mathematics Study in High School 132
Teacher Collaboration for Instruction 134
Chapter Summary 137
Resources 138
Problem-Solving Instruction for Students with Learning Problems 139
The Importance of Problem-Solving Skills 140
Characteristics of Problem Solvers 144
Research on Students with Disabilities 145
Problem-Solving Sequences 146
Teaching Problem-Solving Strategies 150
Strategies for "Understand the Problem" 150
Strategies for "Develop a Plan" 153
Strategies for "Carry Out the Plan" 161
Strategies for "Look Back" 162
Curriculum Concerns 162
Problem-Solving Curricula 164
Problem Solving across the Curriculum 166
Problem-Solving Instructional Guidelines 168
Chapter Summary 169
Resources 169
Resources and Extensions
Materials and Resources to Support Mathematics Instruction 171
Universal Design 172
Curricula for Special-Needs Students 174
Strategic Math Series 175
Direct Instruction Mathematics 176
Adaptations for Special Populations 178
TouchMath 178
General Education Materials: Concerns and Adaptations 180
Mathematics Textbooks: Criteria and Review 180
General Education Materials: Research Base 182
Adapting Mathematics Textbooks 184
Selecting, Creating, and Using Manipulatives 188
Creating Materials 189
Commercial Manipulatives 193
Technology Support 198
Calculators 198
Software 200
Interactive Web 202
Computer Environments 202
Other Resources 204
Newspapers and Print Media 204
Organizations and Projects 204
Chapter Summary 206
Resources 207
Integrating Mathematics with Content Areas and Life Skills 208
Integrating Mathematics with Other Content Areas 209
The Math-Science Connection 211
Mathematics as a Tool for Social Studies 213
Writing in Mathematics 215
Literature and Mathematics 219
The Art of Mathematics 221
Other Considerations for Content Area Integration 225
Career Education and Life-Skills Mathematics 225
Career Education 226
Life-Skills Mathematics 229
Applied Math 237
Transition Planning 238
Chapter Summary 242
Resources 243
Introduction to the Content Strands 245
Number Sense and Place Value 246
Number Sense 247
Importance of Number Sense for Mathematical Achievement 248
Promoting Number Sense Development 249
Mental Mathematics 249
Estimation 253
Number Meaning 254
The Language of Mathematics 256
Place Value 257
Before Place Value 257
The Value of Place Value 258
Teaching Place Value Concepts 259
Data Analysis 262
Resources 264
Whole-Number Relationships 266
Understanding Single-Digit Operations 267
Counting, Addition, and Subtraction Concepts 268
Concept of Equivalence 273
Multiplication and Division Concepts 275
Multi-Digit Computation 278
Multi-Digit Addition and Subtraction 279
Multi-Digit Multiplication and Division 281
Alternative Algorithms 283
Multicultural Connection 288
Resources 288
Spatial Sense 289
Importance of Spatial Sense 291
Development and Assessment of Spatial Abilities 292
Development of Spatial Abilities 294
Assessment of Spatial Abilities 296
Research with Students with Disabilities 297
Developing Spatial Abilities across the Mathematics Curriculum 299
Promoting Spatial Development: K-2 300
Promoting Spatial Development: 3-5 303
Promoting Spatial Development: Middle Grades 304
Promoting Spatial Development: High School 305
Integration of Number and Spatial Sense 407
Multicultural Connection 308
Resources 309
Rational Numbers 310
Rational Numbers 311
Part-Whole Comparison 312
Quotient 312
Ratio 312
Operator 313
Measure 313
Related Concepts 314
Equivalence 314
Proportion 316
Probability 316
Common Problems and Recommendations for Instruction 317
Common Problems 317
Instructional Strategies for Fraction Concepts 318
Strategies for Teaching Decimal Concepts and Calculations 323
Strategies for Teaching Related Concepts 324
Multicultural Connection 327
Resources 328
Functions 329
Development of the Concept of Function 331
Functions across the Mathematics Curriculum 333
Instructional Methods for Challenging Concepts 334
Algebraic Notation 335
Simplifying Algebraic Expressions and Solving Equations 338
Coordinate Plane Graphing 341
Linear Functions 343
Extensions of Functions 345
Multicultural Connection 346
Resources 347
Resources 348
References 359
Index 380
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Jesus Diaz
reviewed Math Instruction for Students with Learning Problems on May 06, 2016
Math Instruction for Students with Learning Problems
This book was not poorly written, nor is it without credit. However, I found that for my uses and intentions it did not provide a lot of useful information or instruction.
I was given this book to read to prepare me for an intensive academic writing workshop with high school students. The workshop focused on the STOP "strategy" introduced in chapter 6 and the DARE "strategy" introduced in the persuasive writing section of the book.
The research in the first few chapters is relevant for all instruction. I have found it reflective of the high school and college writers I have taught.
I can see the application and possibilities with a younger group of learners as well. For a teacher just starting out teaching writing, this book provides a lot of useful information in terms of what to look for in struggling writers (i.e. The belief that their writing is much stronger than it actually is... etc.) The need for a lot of pre-writing time is relevant and should not be underestimated.
Readers should pay close attention to the "portability" sections in each chapter. For the intents and purposes of the workshop in which I participated, there was much that did not translate. (Note: I did not have a say in how it was applied or instructed. Instead, the directors of the workshop attempted to alter the strategies for a diverse group of high school writers with limited success.) In the end, they used it as a framework, but the greatest support to students came from one-on-one feedback and the use of scaffolding strategies the participating teachers introduced from their own pedagogical portfolios.
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Add Math Instruction for Students with Learning Problems, Math Instruction for Students with Learning Problems, 1/E Susan P. Gurganus, College of Charleston ISBN: 0205460895 The author has a good overall view of what is needed to teach the target students. The format of the , Math Instruction for Students with Learning Problems to the inventory that you are selling on WonderClubX
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Add Math Instruction for Students with Learning Problems, Math Instruction for Students with Learning Problems, 1/E Susan P. Gurganus, College of Charleston ISBN: 0205460895 The author has a good overall view of what is needed to teach the target students. The format of the , Math Instruction for Students with Learning Problems to your collection on WonderClub |
