Name: Helping Children Learn Mathematics 11e By R Reys
SKU: 9781118654101
Price: 110.81 USD
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Helping Children Learn Mathematics 11e Summary

Helping Children Learn Mathematics 11e by R Reys

The 11th Edition of Helping Children Learn Mathematics is designed to help those who are or will be teachers of mathematics in elementary schools help children develop understanding and proficiency with mathematics so they can solve problems. This text is built around three main themes; helping children make sense of mathematics, incorporating practical experiences and using research to guide teaching. It also integrates connections and implications from the Common Core Standards: Mathematics (CCSS-M).

About R Reys

Robert E. Reys began his career as a mathematics teacher at Horton Watkins High School in Ladue, Missouri. He has taught mathematics education courses at the University of Missouri since 1966. He has also been a visiting professor in Georgia, Canada, and Japan and was a Fulbright Fellow in Mexico and Sweden. Reys's work has earned him a widely recognized international reputation.

Preface iv Acknowledgments vi CHAPTER 1 School Mathematics in a Changing World 1 SNAPSHOT OF A LESSON 1 CHAPTER LEARNING OUTCOMES 1 INTRODUCTION 1 What is Mathematics? 2 What Determines the Mathematics Being Taught? 2 Where Can You Turn? 6 What is Your Role Now? 9 THINGS TO DO: FROM WHAT YOU VE READ 9 THINGS TO DO: GOING BEYOND THIS BOOK 9 CHAPTER 2 Helping All Children Learn Mathematics with Understanding 11 SNAPSHOT OF A LESSON 11 CHAPTER LEARNING OUTCOMES 11 INTRODUCTION 12 What do We Know About Learning Mathematics? 12 How Can We Support the Diverse Learners in Our Classroom? 12 Helping Children Acquire Both Procedural and Conceptual Knowledge 17 How do Children Learn Mathematics? 18 How Can We Help Children Make Sense of Mathematics? 22 Cultural Connections 28 A Glance at Where We ve Been 28 THINGS TO DO: FROM WHAT YOU VE READ 29 THINGS TO DO: GOING BEYOND THIS BOOK 29 BOOK NOOK FOR CHILDREN 30 CHAPTER 3 Planning and Teaching 31 SNAPSHOT OF A LESSON 31 CHAPTER LEARNING OUTCOMES 31 INTRODUCTION 31 Preparing to Teach: Questions to Ask 32 Planning for Effective Teaching 43 Meeting the Needs of all Students 52 Cultural Connections 55 A Glance at Where We ve Been 56 THINGS TO DO: FROM WHAT YOU VE READ 56 THINGS TO DO: GOING BEYOND THIS BOOK 57 BOOK NOOK FOR CHILDREN 57 CHAPTER 4 Using Assessment to Enhance Learning and Teaching 58 SNAPSHOT OF A LESSON 58 CHAPTER LEARNING OUTCOMES 58 INTRODUCTION 59 Summative and Formative Assessments 59 Four Phases of Formative Assessment 59 Purposes for Formative Assessment 61 Ways to Assess Students Abilities and Dispositions 62 Keeping Records and Communicating About Assessments 74 Cultural Connections 77 A Glance at Where We ve Been 78 THINGS TO DO: FROM WHAT YOU VE READ 79 THINGS TO DO: GOING BEYOND THIS BOOK 79 BOOK NOOK FOR CHILDREN 80 CHAPTER 5 Practices and Processes of Doing Mathematics 81 SNAPSHOT OF A LESSON 81 CHAPTER LEARNING OUTCOMES 81 INTRODUCTION 81 Mathematical Practices from the Common Core State Standards for Mathematics CCSSM 83 Mathematical Processes from NCTM s Principles and Standards for School Mathematics 87 Cultural Connections 96 A Glance at Where We ve Been 97 THINGS TO DO: FROM WHAT YOU VE READ 98 THINGS TO DO: GOING BEYOND THIS BOOK 98 BOOK NOOK FOR CHILDREN 99 CHAPTER 6 Helping Children with Problem Solving 100 SNAPSHOT OF A LESSON 100 CHAPTER LEARNING OUTCOMES 100 INTRODUCTION 101 What is a Problem and What is Problem Solving? 101 Teaching Mathematics Through Problem Solving 103 Strategies for Problem Solving 112 The Importance of Looking Back 119 Helping All Students with Problem Solving 120 Cultural Connections 121 A Glance at Where We ve Been 123 THINGS TO DO: FROM WHAT YOU VE READ 123 THINGS TO DO: GOING BEYOND THIS BOOK 123 BOOK NOOK FOR CHILDREN 124 CHAPTER 7 Developing Counting and Number Sense 125 SNAPSHOT OF A LESSON 125 CHAPTER LEARNING OUTCOMES 125 INTRODUCTION 125 Number Sense 125 Prenumber Concepts 127 Early Number Development 131 Counting Principles 134 Cardinal, Ordinal, and Nominal Numbers 141 Writing Numerals 141 Cultural Connections 143 A Glance at Where We ve Been 144 THINGS TO DO: FROM WHAT YOU VE READ 145 THINGS TO DO: GOING BEYOND THIS BOOK 145 BOOK NOOK FOR CHILDREN 146 CHAPTER 8 Place Value and Decimals 147 SNAPSHOT OF A LESSON 147 CHAPTER LEARNING OUTCOMES 147 INTRODUCTION 147 Our Numeration System 148 Nature of Place Value 149 Beginning Place Value 152 Extending Place Value 155 Decimals 162 Connecting Decimals to Place Value 163 Rounding 165 Cultural Connections 167 A Glance at Where We ve Been 168 THINGS TO DO: FROM WHAT YOU VE READ 168 THINGS TO DO: GOING BEYOND THIS BOOK 168 BOOK NOOK FOR CHILDREN 169 CHAPTER 9 Operations: Meanings and Basic Facts 170 SNAPSHOT OF A LESSON 170 CHAPTER LEARNING OUTCOMES 170 INTRODUCTION 171 Helping Children Develop Number Sense and Computational Fluency 172 Developing Meanings for the Operations 173 Mathematical Properties 177 Overview of Basic Fact Instruction 178 Thinking Strategies for Basic Facts 183 Cultural Connections 193 A Glance at Where We ve Been 194 THINGS TO DO: FROM WHAT YOU VE READ 195 THINGS TO DO: GOING BEYOND THIS BOOK 195 BOOK NOOK FOR CHILDREN 196 CHAPTER 10 Computation Methods: Calculators, Mental Computation, and Estimation 197 SNAPSHOT OF A LESSON 197 CHAPTER LEARNING OUTCOMES 197 INTRODUCTION 197 Balancing Your Instruction 198 Calculators 199 Mental Computation 202 Estimation 207 Cultural Connections 213 A Glance at Where We ve Been 214 THINGS TO DO: FROM WHAT YOU VE READ 215 THINGS TO DO: GOING BEYOND THIS BOOK 215 BOOK NOOK FOR CHILDREN 216 CHAPTER 11 Standard and Alternative Computational Algorithms 217 SNAPSHOT OF A LESSON 217 CHAPTER LEARNING OUTCOMES 217 INTRODUCTION 218 Teaching Algorithms with Understanding 220 Addition 221 Subtraction 225 Multiplication 228 Division 232 Beyond Learning Computational Algorithms 237 Cultural Connections 238 A Glance at Where We ve Been 239 THINGS TO DO: FROM WHAT YOU VE READ 240 THINGS TO DO: GOING BEYOND THIS BOOK 240 BOOK NOOK FOR CHILDREN 241 CHAPTER 12 Fractions 242 SNAPSHOT OF A LESSON 242 CHAPTER LEARNING OUTCOMES 242 INTRODUCTION 242 Background Knowledge 243 Making Sense of Fractions 245 Extending Understandings of Fractions 249 Comparing Fractions and Equivalent Fractions 252 Adding and Subtracting Fractions 256 Multiplying and Dividing Fractions 258 Cultural Connections 261 A Glance at Where We ve Been 261 THINGS TO DO: FROM WHAT YOU VE READ 262 THINGS TO DO: GOING BEYOND THIS BOOK 262 BOOK NOOK FOR CHILDREN 262 CHAPTER 13 Ratio, Proportion, and Percent: Meanings and Applications 263 SNAPSHOT OF A LESSON 263 CHAPTER LEARNING OUTCOMES 263 INTRODUCTION 263 Ratios 264 Proportions 267 Percents 271 Cultural Connections 277 A Glance at Where We ve Been 277 THINGS TO DO: FROM WHAT YOU VE READ 278 THINGS TO DO: GOING BEYOND THIS BOOK 278 BOOK NOOK FOR CHILDREN 279 CHAPTER 14 Algebraic Thinking 280 SNAPSHOT OF A LESSON 280 CHAPTER LEARNING OUTCOMES 280 INTRODUCTION 280 Problems, Patterns, and Relations 281 Language and Symbols of Algebra 287 Representing, Generalizing, and Justifying 289 Another Look at Representing, Generalizing, and Justifying 297 Cultural Connections 298 A Glance at Where We ve Been 299 THINGS TO DO: FROM WHAT YOU VE READ 299 THINGS TO DO: GOING BEYOND THIS BOOK 299 BOOK NOOK FOR CHILDREN 300 CHAPTER 15 Geometry 301 SNAPSHOT OF A LESSON 301 CHAPTER LEARNING OUTCOMES 301 INTRODUCTION 301 Three-Dimensional Shapes 303 Two-Dimensional Shapes 309 Space 317 Transformations 319 Visualization and Spatial Reasoning 320 Cultural Connections 323 A Glance at Where We ve Been 323 THINGS TO DO: FROM WHAT YOU VE READ 323 THINGS TO DO: GOING BEYOND THIS BOOK 324 BOOK NOOK FOR CHILDREN 324 CHAPTER 16 Measurement 325 SNAPSHOT OF A LESSON 325 CHAPTER LEARNING OUTCOMES 325 INTRODUCTION 325 The Measurement Process 326 Other Aspects of Measuring 340 Connecting Attributes 344 Cultural Connections 346 A Glance at Where We ve Been 347 THINGS TO DO: FROM WHAT YOU VE READ 347 THINGS TO DO: GOING BEYOND THIS BOOK 347 BOOK NOOK FOR CHILDREN 348 CHAPTER 17 Data Analysis, Statistics, and Probability 349 SNAPSHOT OF A LESSON 349 CHAPTER LEARNING OUTCOMES 349 INTRODUCTION 349 Formulating Questions 351 Collecting Data 353 Analyzing Data: Graphical Organization 354 Analyzing Data: Descriptive Statistics 363 Interpreting Results 368 Probability 369 Randomness 373 Cultural Connections 374 A Glance at Where We ve Been 375 THINGS TO DO: FROM WHAT YOU VE READ 375 THINGS TO DO: GOING BEYOND THIS BOOK 376 BOOK NOOK FOR CHILDREN 377 CHAPTER 18 Number Theory 378 SNAPSHOT OF A LESSON 378 CHAPTER LEARNING OUTCOMES 378 INTRODUCTION 378 Number Theory in Elementary School Mathematics 381 Divisibility 387 Other Number Theory Topics 389 Cultural Connections 393 A Glance at Where We ve Been 393 THINGS TO DO: FROM WHAT YOU VE READ 394 THINGS TO DO: GOING BEYOND THE BOOK 394 BOOK NOOK FOR CHILDREN 394 References 395 Appendix 407 Index 409

Additional information

Sku

CIN1118654102G

ISBN 13

9781118654101

ISBN 10

1118654102

Title

Helping Children Learn Mathematics 11e by R Reys

Author

R Reys

Condition

Used - Good

Binding type

Paperback

Publisher

John Wiley & Sons Inc

Year published

20141114

Number of pages

432

Prizes

N/A

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Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

Helping Children Learn Mathematics 11e R Reys

Helping Children Learn Mathematics 11e by R Reys

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Helping Children Learn Mathematics 11e Summary

Helping Children Learn Mathematics 11e by R Reys

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