Full Description
KEY BENEFITteachers, and teachers of mathematics in inclusion classrooms practical help for connecting what students already know about mathematics to what they need to know-while improving learning and recall.KEY TOPICS: Instructional Activites, Lesson Plans, Mathematics and Young Children, Whole Numbers and Numeration, Fractions, Decimals, Measurements, Geometry, and Data Analysis and ProbabilityMARKET: Secondasry classroom teachers, special education teachers, and teachers of mathematics in inclusion classrooms
Contents
viiAbout the Au thors xiiiPreface xv1 I nstructional Activities:T he Building Blocks for Effective Instruction 1Instructional Activities 1Developmental Activities 2Exploratory Developmental Activities 2Consolidating Developmental Activities 2Practice Activities 2Think-Time Practice Activities 3Speed-Drill Practice Activities 3Application Activities 3Classroom Applications 3Real-World Problems 4Assessment Activities 4Flexible Use of Activities and Materials 5Exercises and Activities 5References and Related Readings 6Websites 72 Prior Student Knowledge:T he Basis for Learning and Instruction 8Building on Prior Knowledge 8Assessing Prior Knowledge 9Remediation of Prerequisite Knowledge 9Additional Classroom Scenarios 10Exercises and Activities 11contentsA01_TUCK7266_01_SE_FM.indd 7 8/1/12 2:55 PMviii C o n t e n t s3 L ess on Design:Planning for Effective Instruction and Maximum Learning 12Combining Activities into a Lesson 12What Is a Lesson? 12A Traditional Lesson Plan 13The Nature of Standard Traditional Lessons 15Adapting Lessons for Diverse Learning Needs 15A Lesson Adapted for Diverse Learners 18The Planning Process and "Official" Lesson Plans 21The Planning Process and Teaching Notes 21Exercises and Activities 21References and Related Readings 22Websites 224 C ompu tation with Whole Nu mbers:A Review of Addition and Subtraction 23Three Important Considerations 23Number Sense 23Foundations of Algebra 24Basic Concepts and Skills 24An Overview of the Development of Computation 24The Meaning of the Operation 24The Basic Facts 24The Algorithm(s) 25Review and Remediation of Whole Number Addition 26Relationships among the Addition Facts 26Remediation of the Easy Basic Addition Facts 28Remediation of the Hard Basic Addition Facts 29Understanding the Addition Algorithm 31The First Big Idea 33The Second Big Idea 35Use of the Developmental Sequence to Remediate Addition 35Remediation of Student Difficulties with Whole Number Addition 36Review and Remediation of Whole Number Subtraction 37Developing the Meaning of Subtraction 37Remediation of the Easy Basic Subtraction Facts 37Remediation of the Hard Basic Subtraction Facts 38Remediation of the Subtraction Algorithm 39The Big Ideas for the Subtraction Algorithm 39Use of the Developmental Sequence for Remediation of Subtraction 40Remediation of Student Difficulties with Whole Number Subtraction 41Teaching Problem Solving Using Addition and Subtraction 41Translate Word Problems into Situations 41Exercises and Activities 42A01_TUCK7266_01_SE_FM.indd 8 8/1/12 2:55 PMC o n t e n t s ixReferences and Related Readings 44Websites 445 C ompu tation with Whole Nu mbers:D evelopment of Multiplication and Division 45Teaching Multiplication of Whole Numbers 45Developing the Meaning of Multiplication 45Developing the Easy Basic Multiplication Facts 48Developing the Hard Basic Multiplication Facts 53Teaching the Multiplication Algorithm 58Use of the Developmental Sequence for Remediation of Multiplication 70Remediation of Multiplication 71Teaching Division of Whole Numbers 77The Meaning of Division 77Developing the Easy Basic Division Facts 80Developing the Hard Basic Division Facts 82Remediating the Division Algorithm 84Use of the Developmental Sequence for Remediation of Division 96Remediation of Division 96Adapting a Division Lesson 96Teaching Problem Solving Using Multiplication and of Division 99Exercises and Activities 99References and Related Readings 101Websites 1016 Fractions:W orking with Units Smaller Than One 102Defining Fractions 102Three Sides of Fractions 103Fractional Units 104Beyond Unit Fractions 106Fractions of a Set 107Equivalent Fractions 108Using the Laboratory Approach 110Comparison of Fractions 112Adding Fractions 116Subtracting Fractions 117Least Common Denominators 118Addition and Subtraction Activities 119Improper Fractions and Mixed Numbers 121Multiplying Fractions 123Dividing Fractions 127Multiplication and Division Activities 131Adapting a Lesson on Fractions 135A01_TUCK7266_01_SE_FM.indd 9 8/1/12 2:55 PMx C o n t e n t sSolving Problems Using Fractions 137Problem-Solving Strategies 138Exercises and Activities 140References and Related Readings 141Websites 1417 D ecimals and percents:W orking with Base-Ten Units Smaller Than One and Using Hundredthsas a Common Denominator 142Decimals 142Place Value for Decimals 144Comparing Decimals 149Adding and Subtracting Decimals 152Adding and Subtracting Activities 154Multiplying Decimals 156Dividing Decimals 161Multiplication and Division Activities 163Fraction Comparison Revisited 167Defining Percent 168Adapting a Lesson on Decimals 168Using Decimals to Solve Problems 171Exercises and Activities 173References and Related Readings 174Websites 1748 M easu rement:A ssigning a Number to a Quantity 175Measurement and Geometry 175Defining Measurement 175Measuring Length 176Measuring Area 178The Big Idea for Developing Area Formulas 182Measuring Volume 187Measuring Angles 195Measuring with Indirect Units 198Measuring Weight 198Measuring Temperature 198Measuring Value 198Adapting a Lesson on Volume 199Using Measurement to Solve Problems 201Exercises and Activities 203References and Related Readings 204Websites 204A01_TUCK7266_01_SE_FM.indd 10 8/1/12 2:55 PMC o n t e n t s xi9 Geometry:Using the Big Ideas to Study Geometric Shapes 205The Big Ideas of Middle School Geometry 205Straightness 206Congruence 206Similarity 207Parallelism 208Perpendicularity 209Symmetry 210Using the Big Ideas to Study Geometric Shapes 210Rectangles in Middle School 210Circles in Middle School 211Angles in the Fifth through Eighth Grades 212Prisms in Middle School 213Adapting a Geometry Lesson 215Using Geometry to Solve Problems 216Exercises and Activities 218References and Related Readings 219Websites 21910 D ata Analysis And Probability:G etting Information from Data and Measuring Likelihood 220Data Analysis and Probability: Two Distinct but RelatedAreas of Mathematics 220Data Analysis 221Emphasizing the Big Ideas of Data Analysis 221Adapting a Data Analysis Lesson 226Using Data Analysis to Solve Problems 231Probability 231Emphasizing the Big Ideas of Probability 231Adapting a Probability Lesson 237Using Probability to Solve Problems 240Exercises and Activities 241References and Related Readings 242Websites 24211 Foundations of Algebra:Properties of Operations on Integers, Rational Numbers,and Irrational Numbers 243Emphasizing the Big Ideas of Algebra 243The Closure Property 244The Associative Property 245A01_TUCK7266_01_SE_FM.indd 11 8/1/12 2:55 PMxii C o n t e n t sThe Commutative Property 246The Distributive Property 246The Identity Elements 247The Inverse Elements 247Computation with Integers 248The Order of Operations 253Evaluating Algebraic Expressions 255Using Properties of Equality to Solve Equations 255Exponents 257Exercises and Activities 261References and Related Readings 262Websites 26212 Eff ective Practice:G ames and Activities for Practice and Fun 263Matching Activities 264Ordering Activities 271Answer or Example Construction Activities 275Summary 278References and Related Readings 278A ctivities to Take to Your Class room 279I ndex 281
