About the Author |
|
ix | |
Preface |
|
xi | |
Acknowledgments |
|
xiii | |
|
Chapter 1 Foundations for Mathematical Development |
|
|
1 | (18) |
|
Mathematics in the Preschool and Kindergarten Classroom |
|
|
2 | (3) |
|
Standards in Early Mathematics Education |
|
|
5 | (2) |
|
Developmentally Appropriate Mathematics Curriculum |
|
|
7 | (3) |
|
Mathematics in Inclusive Classrooms |
|
|
10 | (1) |
|
What It Means to Be a Mathematics Teacher |
|
|
11 | (8) |
|
Chapter 2 Developing Number Sense |
|
|
19 | (26) |
|
The Number and Operations Standard |
|
|
20 | (1) |
|
The Development of Number Sense |
|
|
21 | (5) |
|
Designing the Number Sense Curriculum |
|
|
26 | (13) |
|
Activity 2.1 The Bathtub Game |
|
|
28 | (2) |
|
Activity 2.2 Doghouse Game |
|
|
30 | (2) |
|
Activity 2.3 Get the Dogs Home---Short-Path Game |
|
|
32 | (1) |
|
Activity 2.4 Get the Dogs Home---Long-Path Game |
|
|
33 | (1) |
|
Activity 2.5 "I Have More" Card Game |
|
|
34 | (1) |
|
Activity 2.6 Matchmaker Game |
|
|
35 | (2) |
|
Activity 2.7 The School Bus Song |
|
|
37 | (2) |
|
Universal Design for Supporting Number Sense |
|
|
39 | (1) |
|
Focusing on Mathematical Processes |
|
|
40 | (1) |
|
Assessing Number Sense Learning |
|
|
41 | (4) |
|
Chapter 3 Developing Concepts About Arithmetic Operations |
|
|
45 | (24) |
|
The Operations Component of the Number and Operations Standard |
|
|
45 | (3) |
|
The Development of Arithmetic Operations---Addition and Subtraction |
|
|
48 | (2) |
|
Adding Operations to the Number-Sense Curriculum |
|
|
50 | (14) |
|
Activity 3.1 Eggs in the Basket |
|
|
53 | (1) |
|
Activity 3.2 Socks in the Laundry |
|
|
54 | (2) |
|
Activity 3.3 Pairs of Socks---Counting by 2s |
|
|
56 | (1) |
|
Activity 3.4 Shop and Save |
|
|
56 | (3) |
|
Activity 3.5 Feed the Birds |
|
|
59 | (1) |
|
Activity 3.6 Get the Dog Some Bones |
|
|
60 | (1) |
|
Activity 3.7 Apple Song Game |
|
|
61 | (1) |
|
Activity 3.8 In and Out of Bed |
|
|
62 | (2) |
|
Universal Design for Supporting Arithmetic Operations |
|
|
64 | (1) |
|
Focusing on Mathematical Processes |
|
|
64 | (2) |
|
Assessing Understanding of Arithmetic Operations |
|
|
66 | (3) |
|
Chapter 4 Developing Algebra Concepts |
|
|
69 | (24) |
|
|
69 | (4) |
|
The Development of Algebraic Reasoning |
|
|
73 | (3) |
|
Designing the Algebra Curriculum |
|
|
76 | (12) |
|
Activity 4.1 A Better Teddy Bear Collection |
|
|
78 | (1) |
|
Activity 4.2 Bandage Collection |
|
|
79 | (1) |
|
Activity 4.3 Going Fishing |
|
|
80 | (1) |
|
Activity 4.4 Patterning with Apples and Pumpkins |
|
|
81 | (1) |
|
Activity 4.5 Hats and Mittens---A Beginning Function |
|
|
82 | (1) |
|
Activity 4.6 Many Ways to Get to Five---A Class Book |
|
|
83 | (1) |
|
Activity 4.7 Doo Dah Dilemmas |
|
|
84 | (1) |
|
Activity 4.8 Body Patterns |
|
|
85 | (1) |
|
Activity 4.9 Rhythm Patterns |
|
|
85 | (1) |
|
Activity 4.10 12 Ways to Get to 11 |
|
|
86 | (2) |
|
Universal Design for Supporting Algebra |
|
|
88 | (1) |
|
Focusing on Mathematical Processes |
|
|
89 | (1) |
|
Assessing Algebraic Learning |
|
|
90 | (3) |
|
Chapter 5 Developing Geometry Concepts |
|
|
93 | (24) |
|
|
94 | (2) |
|
The Development of Geometric Reasoning |
|
|
96 | (3) |
|
Designing the Geometry Curriculum |
|
|
99 | (13) |
|
Activity 5.1 The Magnificent Shape Quilt |
|
|
102 | (1) |
|
|
103 | (1) |
|
Activity 5.3 Shape Aliens in Action |
|
|
104 | (1) |
|
Activity 5.4 Where Are Our Friends? |
|
|
105 | (2) |
|
Activity 5.5 Weekly Geometry |
|
|
107 | (1) |
|
Activity 5.6 Class Shape Big Book |
|
|
108 | (1) |
|
Activity 5.7 Dressing Mr. and Mrs. Teddy Bear |
|
|
109 | (1) |
|
Activity 5.8 Pet Hospital |
|
|
110 | (2) |
|
Universal Design for Supporting Geometry |
|
|
112 | (1) |
|
Focusing on Mathematical Processes |
|
|
113 | (1) |
|
Assessing Geometric Learning |
|
|
113 | (4) |
|
Chapter 6 Developing Measurement Concepts |
|
|
117 | (24) |
|
|
117 | (3) |
|
The Development of Measurement Concepts |
|
|
120 | (3) |
|
Designing the Measurement Curriculum |
|
|
123 | (14) |
|
Activity 6.1 Those Amazing Pumpkins |
|
|
125 | (1) |
|
|
126 | (1) |
|
|
127 | (1) |
|
Activity 6.4 Carpeting the House |
|
|
128 | (2) |
|
Activity 6.5 Container "Brainer" |
|
|
130 | (1) |
|
Activity 6.6 Snake Adventure |
|
|
131 | (1) |
|
|
132 | (2) |
|
Activity 6.8 How Tall Am I? |
|
|
134 | (1) |
|
Activity 6.9 Is It Larger? Is It Smaller? |
|
|
135 | (2) |
|
Universal Design for Supporting Measurement |
|
|
137 | (1) |
|
Focusing on Mathematical Processes |
|
|
137 | (1) |
|
|
138 | (3) |
|
Chapter 7 Developing Concepts About Data Analysis and Probability |
|
|
141 | (22) |
|
The Data Analysis and Probability Standard |
|
|
142 | (1) |
|
The Development of Concepts About Data Analysis and Probability |
|
|
143 | (4) |
|
Designing the Data Analysis and Probability Curriculum |
|
|
147 | (12) |
|
Activity 7.1 Graphing a Dinosaur Collection |
|
|
150 | (2) |
|
Activity 7.2 Estimating Shoes |
|
|
152 | (1) |
|
Activity 7.3 How Many Sank the Boat? |
|
|
153 | (2) |
|
Activity 7.4 Author Unit Picks |
|
|
155 | (1) |
|
Activity 7.5 Comparing Apples and Oranges |
|
|
156 | (1) |
|
Activity 7.6 Six Colorful Ducks |
|
|
157 | (2) |
|
Universal Design for Supporting Data Analysis and Probability |
|
|
159 | (1) |
|
Focusing on Mathematical Processes |
|
|
160 | (1) |
|
Assessing Data Analysis and Probability |
|
|
160 | (3) |
|
Chapter 8 Integrating Curricula to Meet Mathematics Goals: Putting It All Together |
|
|
163 | (28) |
|
|
164 | (1) |
|
Planning for Number and Operations |
|
|
165 | (4) |
|
|
169 | (3) |
|
|
172 | (3) |
|
|
175 | (2) |
|
Planning for Data Analysis and Probability |
|
|
177 | (3) |
|
|
180 | (11) |
Glossary |
|
191 | (4) |
Appendix Identifying Geometric Figures |
|
195 | (6) |
Index |
|
201 | |