| Description |
xvi, 447 pages : illustrations ; 28 cm |
| Contents |
Contents -- Preface to the Third Edition -- Introduction -- Part I Raising the Issues -- Introduction -- You Can't Teach What You Don't Understand -- A Perspective on Arithmetic -- Examining Children's Common Arithmetic Errors -- Using Words Problems to Develop Arithmetic Understanding -- Problem Solving Beyond Word Problems -- Building Number Sense -- How Children Learn Mathematics -- The Role of Manipulative Materials -- The Importance of Class Discussions -- Incorporating Writing into Math Instruction -- Teaching Math Vocabulary -- Using Children's Literature -- Linking Assessment and Instruction -- Managing Classroom Instruction -- Part II Instruction Activities for the Content Standards -- Introduction -- Measurement -- Overview -- Why Teach Measurement -- What Concepts in Measurement Should be Taught? -- A Sample Activity: Body Ratios -- A Sample Activity: Introducing the Metric System -- Activities -- Probability and Statistics -- Overvieŵ̂̂̂ |
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Independent Activities (Menu) -- Assessing Understanding -- Fractions -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Decimals -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Percents -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Part IV Mathematical Discussions -- Introduction -- Measurement Problems 256 -- Squaring Up 256 -- Box Measuring 257 -- Round Things 258 -- Wrap-Around 258 -- Double the Circumference 259 -- The Area Stays the Same 260 -- Probability and Statistics Problems 261 -- Shake and Spill 261 -- Two-Coin Toss 262 -- Shake and Spill Revisited 263 -- Got a Match? 265 -- The X-0 Problem 266 -- How Many Throws? and How Many Ways? 267 -- Fair Game 1 270 -- Fair Game 2 271 -- Geometry Problems 272 -- The Tangram Puzzle 272 -- That's Just Half the Story 277 -- Interior Regions 278 -- Straight or Curved 278̂̂̂̂ |
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Introduction -- What are the Basics in Arithmetic? -- Results from Classroom Research -- The Limits of Learning Rules -- Teaching "What to Do" Versus Teaching "What to Do and Why" -- Multiple Strategies for Computing -- Questions from Teachers -- Relating Arithmetic to Real Life -- How Can Arithmetic Understanding Be Developed? -- Beginning Number Concepts -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Place Value -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Addition and Subtraction -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Multiplication -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Division -- Overview -- Whole Class Lessons -- Independent Activities (Menu) -- Assessing Understanding -- Expanding Multiplication and Division -- Overview -- Whole Class Lessonŝ̂̂̂ |
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Multiplication/Division Word Problems -- Multi-digit Multiplication -- Rounding -- Assessment in the Classroom -- Multiplication and Division Facts (Helping My Daughter at Home) -- Math Portfolios -- Meeting the Needs of All Students -- Long Division -- Test Prep -- Connecting Fractions and Decimals -- Changing Instruction -- Order of Operations -- Homework -- Supporting Small Group Work -- Blackline Masters -- Area and Perimeter -- Geoboard Dot Paper -- Geoboard Dot Paper -- Geoboard Dot Paper -- Pattern Block Triangle Paper -- 0-99 Chart -- 0-99 Charts -- 1-100 Chart [ce: placement OK?] -- 1-100 Charts [ce: placement OK?] -- Multiplication Table -- 10-by-10 Grids -- Toothpick Dot Paper -- Hexagon Fill-in Puzzle -- Shake and Spill -- Isometric Dot Paper -- Palindrome Recording Sheet -- Fractions on Grids (4-by-4 squares) -- Fractions on Grids (6-by-4 squares) -- Fractions with Cookies -- 1-Inch Squares -- 1/2-Inch Squares -- 2-Centimeter Squares -- 1-Centimeter Squareŝ̂̂̂ |
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No-Lift Letters and More No-Lift Letters 279 -- Square Partitioning 280 -- The Banquet Table Problem 281 -- The Four-Triangle Problem 282 -- Geoboard Line Segments 282 -- Area on the Geoboard 283 -- Logical Reasoning Problems 285 -- King Arthur's Problem 285 -- The Prison Problem 288 -- The Three Sacks Problem 289 -- The Orange Juice and Water Problem and The -- Two-Color Problem 290 -- Riddles with Color Tiles 291 -- Patterns, Functions, and Algebra Problems 292 -- The Handshake Problem 292 -- Number Problems 297 -- Number Sums 297 -- Making Change 299 -- How Many Sums? 302 -- Change from a $10.00 Bill 304 -- Multiplication Possibilities 304 -- The Postage Stamp Problem 306 -- Arrow Arithmetic 308 -- Part V Questions Teachers Ask -- Introduction -- Using Fingers for Counting -- Math Centers -- Patterns -- Money -- 0-99 Chart vs 1-100 Chart -- The Language of Math -- Addition -- Subtraction -- Decimals -- Interpreting Multiplication -- Patterns in Multiplication̂̂̂̂ |
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Why Teach Probability and Statistics -- What Concepts in Probability and Statistics Should be Taught? -- A Sample Activity: Spinner Experiments -- Activities -- Graphing in the Classroom -- Geometry and Spatial Sense -- Overview -- Why Teach Geometry and Spatial Sense? -- A Sample Activity: Pentominoes -- Activities -- Logical Reasoning -- Overview -- Why Teach Logical Reasoning? -- What Concepts in Logical Reasoning Should Be Taught? -- A Sample Activity: The Game of Poison -- Activities -- Patterns, Functions, and Algebra -- Overview -- What's Important about Patterns, Functions, and Algebra? -- Introducing Patterns -- Developing Understanding of Functions -- Use of Variables -- A Sample Activity: Painting Towers -- Activities -- Number and Operations -- Overview -- What Concepts in Number Should Be Taught? -- A Sample Activity at the Primary Level: Number Sums -- A Sample Activity at the Intermediate Level: Palindromes -- Activities -- Part III Teaching Arithmetiĉ̂̂̂ |
| Summary |
Provides primary and middle school teachers with the resources and activities needed to teach their students the fundamentals of mathematics |
| Bibliography |
Includes bibliographical references (pages 433 - 434) and index |
| Notes |
Also available online via the World Wide Web, by subscription to IG Publishing (Math Solutions) |
| Subject |
Mathematics -- Study and teaching (Primary)
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| Author |
IG Publishing
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| LC no. |
2007018870 |
| ISBN |
0941355764 |
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9780941355766 |
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