
Instructional Activities: The Building Blocks for Effective Instruction 


3  (14) 

Basics for the Effective Use of Activities, the Building Blocks for Construction of Effective Lesson 


3  (6) 

What Are the Students Learning? 


3  (1) 


4  (1) 


5  (1) 


5  (1) 


6  (2) 


8  (1) 


9  (4) 


9  (2) 


11  (1) 

Procedure Flexibility Webs 


12  (1) 


13  (1) 

References and Related Readings 


14  (1) 


15  (2) 

Diversity in the Classroom: Variations of Individual Needs 


17  (16) 


17  (2) 

Racial, Linguistic, and Cultural Diversity 


19  (1) 

Learning Style Preferences 


20  (2) 


22  (1) 


23  (2) 


25  (1) 

Visual or Auditory Impairments 


25  (1) 


26  (1) 


26  (1) 


26  (4) 

References and Related Readings 


30  (1) 


31  (2) 

Lesson Design: Creating Lessons That Meet the Needs of a Diverse Classroom 


33  (16) 

Combining Activities into a Lesson 


34  (2) 


34  (1) 

A Traditional Lesson Plan 


35  (1) 

The Nature of Standard Traditional Lessons 


36  (1) 

Adapting Lessons for Diverse Learning Needs 


36  (10) 

A Lesson Adapted for Diverse Learners 


39  (4) 


43  (3) 


46  (1) 

References and Related Readings 


47  (1) 


47  (2) 

Beginnings: Mathematics Learning in Early Childhood 


49  (20) 


50  (1) 


50  (1) 


51  (2) 

Teaching Comparison and Seriation 


53  (6) 


53  (3) 


56  (2) 

Matching and Prenumber Comparisons 


58  (1) 

Matching and Prenumber Seriation 


58  (1) 

The Beginning of Geometric Concepts: Relative Position 


59  (4) 


63  (2) 


65  (1) 

References and Related Readings 


66  (1) 


67  (2) 

Whole Numbers and Numeration: Naming and Writing Quantity 


69  (26) 

Building on What Children Already Know 


70  (2) 


72  (1) 

Development of Numbers and Numeration 


72  (1) 


73  (5) 


78  (6) 


84  (3) 


87  (2) 


89  (4) 

Adapting the Lesson for a Diverse Group of Students 


90  (3) 


93  (1) 

References and Related Readings 


94  (1) 


94  (1) 

Adding and Subtracting Whole Numbers: Combining and Separating Quantities 


95  (44) 

Teaching Addition of Whole Numbers 


96  (22) 

An Overview of the Development of Computation 


96  (1) 

Developmental Sequence for the Addition of Whole Numbers 


97  (3) 

Developing the Easy Basic Addition Facts 


100  (6) 

Memorization of the Easy Basic Addition Facts 


106  (2) 

Thinking Strategies for Hard Basic Addition Facts 


108  (3) 

Teaching the Hard Basic Addition Facts 


111  (2) 

Teaching the Addition Algorithm 


113  (5) 

Summary of the Development Sequence for Addition 


118  (1) 


118  (11) 

Developing the Meaning of Substraction 


118  (2) 

Developing the Easy Basic Subtraction Facts 


120  (5) 

Thinking Strategies for Hard Basic Substraction Facts 


125  (2) 

Teaching the Subtraction Algorithm 


127  (1) 

Summary of the Developmental Sequence for Subtraction 


128  (1) 


129  (2) 

Teaching Problem Solving Using Addition and Substraction 


131  (3) 


134  (3) 

References and Related Readings 


137  (1) 


137  (2) 

Multiplying and Dividing Whole Numbers: Combining EqualSized Groups and Separating Quantities into EqualSized Groups 


139  (60) 

Teaching Multiplication of Whole Numbers 


140  (32) 

Developmental Sequence for Teaching Multiplication 


140  (1) 

Developing the Meaning of Multiplication 


140  (4) 

Teaching the Easy Basic Multiplication Facts 


144  (5) 

Thinking Strategies for Hard Basic Multiplication Facts 


149  (5) 

Teaching the Multiplication Algorithm 


154  (12) 

Summary of Developmental Sequence for Multiplication 


166  (1) 

Adapting a Multiplication Lesson 


167  (5) 

Teaching Division of Whole Numbers 


172  (23) 

Developmental Sequence for Teaching Division 


172  (20) 

Adapting a Division Lesson 


192  (3) 

Using Multiplication and Division to Solve Problems 


195  (1) 


195  (2) 

References and Related Readings 


197  (1) 


197  (2) 

Fractions: Working with Units Smaller Than One 


199  (46) 


200  (1) 


200  (1) 


201  (2) 


203  (2) 


205  (1) 


206  (2) 

Using the Laboratory Approach 


208  (3) 


211  (3) 


214  (2) 


216  (1) 

Least Common Denominators 


216  (5) 

Improper Fractions and Mixed Numbers 


221  (2) 


223  (4) 


227  (8) 

Adapting a Lesson on Fractions 


235  (3) 

Solving Problems Using Fractions 


238  (3) 

ProblemSolving Strategies 


239  (2) 


241  (1) 

References and Related Readings 


242  (1) 


243  (2) 

Decimals and Percents: Working with BaseTen Units Smaller Than One and Using Hundredths as a Common Denominator 


245  (36) 


246  (1) 


247  (6) 


253  (3) 

Addition and Substraction of Decimals 


256  (3) 


259  (5) 


264  (7) 

Fraction Comparison Revisited 


271  (1) 


272  (1) 

Adapting a Lesson on Decimals 


272  (4) 

Using Decimals to Solve Problems 


276  (2) 


278  (1) 

References and Related Readings 


279  (1) 


279  (2) 

Measurement: Assigning a Number to a Quantity 


281  (46) 


281  (1) 


281  (1) 


281  (14) 

Teaching Area Measurement 


295  (9) 

The Big Idea for Developing Area Formulas 


299  (5) 

Teaching Volume Measurement 


304  (9) 


313  (3) 

Measuring with Indirect Units 


316  (1) 


317  (1) 


318  (1) 


319  (1) 


319  (1) 

Adapting a Lesson on Volume 


319  (3) 

Using Measurement to Solve Problems 


322  (2) 


324  (2) 

References and Related Readings 


326  (1) 


326  (1) 

Geometry: Learning the Names and Characteristics of Shapes 


327  (30) 

The Big Ideas of Elementary School Geometry 


328  (4) 


328  (1) 


328  (1) 


329  (2) 


331  (1) 


332  (1) 


332  (1) 

Using the Big Ideas to Study Geometric Shapes 


332  (16) 

Rectangles in Elementary School 


333  (7) 

Circles in Elementary School 


340  (3) 

Angles in Elementary School 


343  (3) 

Prisms in Elementary School 


346  (2) 

Adapting a Geometry Lesson 


348  (5) 

Using Geometry to Solve Problems 


353  (2) 


355  (1) 

References and Related Readings 


356  (1) 


356  (1) 

Effective Practice: Games and Activities for Practice and Fun 


357  (22) 


358  (10) 


368  (5) 

Answer/Example Construction Activities 


373  (5) 


378  (1) 

References and Related Readings 


378  (1) 
Index 

379  