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Early Childhood Mathematics

ISBN: 9780205454761 | 0205454763
Edition: 4th
Format: Paperback
Publisher: Allyn & Bacon
Pub. Date: 1/1/2009

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SummaryTable of Contents
This NCTM Standards-based book encourages the teacher or future teacher to create an active learning environment that fosters curiosity, confidence, and persistence in children as they learn math. Because the knowledge of important mathematical relationships, number sense, and the ability to solve problems are three key ingredients to the successful acquisition of math in the early years, this book pays special attention to helping teachers foster those skills and ways of thinking. Features new to this edition include discussion of the No Child... MORE
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Prefacevii
Acknowledgmentsix
Foundations, Myths, and Standards
1(18)
Six Myths about Teaching Mathematics to All Children
1(5)
Success for Every Child
6(2)
Serving Children in Inclusive Settings
8(1)
The Child Who Is Gifted
8(1)
The Child with Learning Disabilities
9(1)
The Child Who Is Cognitively Disabled (Children with Mental Retardation)
9(1)
Where Are We Going--The NCTM Standards
10(3)
Developmentally Appropriate Education: Creating the Best Learning Environment
13(1)
Piaget, Vygotsky, Bruner, and Dienes
14(5)
Summary
16(1)
Fieldwork: A Clinical Log or Math Journal
16(1)
More Activities and Study Questions
16(1)
Links to Technology
17(1)
References
17(2)
The Language of Math
19(17)
Developing Math Language Using Song and Verse
19(1)
Developing Math Language through Children's Literature
20(1)
Math Language and Older Children
21(1)
Math Concepts Found in the Early Childhood Curriculum
22(6)
The NCTM Process Standards: Writing with Math Words
28(1)
The Symbols of Math
29(1)
The Number Sentence
29(7)
Summary
31(1)
Ready-Set-Math
31(3)
Fieldwork: A Clinical Log or Math Journal
34(1)
More Activities and Study Questions
34(1)
Classroom Equipment
34(1)
Related Children's Literature
34(1)
Links to Technology
35(1)
References
35(1)
Early Math Concepts: Matching, Classification, Comparing, and Ordering or Seriation
36(18)
Matching
36(7)
Early Classification---Creating Sets
43(2)
Informal Learning around Home and School
45(3)
Comparing
48(1)
Ordering or Seriation
49(5)
Summary
52(1)
Fieldwork: A Clinical Log or Math Journal
52(1)
More Activities and Study Questions
52(1)
Classroom Equipment
53(1)
Related Children's Literature
53(1)
Links to Technology
53(1)
References
53(1)
Space and Shape
54(21)
Space
57(4)
Shape
61(2)
Geometric Concepts in the Early Grades
63(12)
Summary
70(1)
Ready-Set-Math
70(2)
Fieldwork: A Clinical Log or Math Journal
72(1)
More Activities and Study Questions
72(1)
Classroom Equipment
73(1)
Related Children's Literature
73(1)
Links to Technology
73(1)
References
74(1)
Pattern, Function, and Early Algebra
75(16)
Pattern
75(7)
Pattern in Music and Art
82(1)
Functions in the Primary Grade Curriculum
83(2)
Early Algebra
85(6)
Summary
85(1)
Ready-Set-Math
86(2)
Fieldwork: A Clinical Log or Math Journal
88(1)
More Activities and Study Questions
89(1)
Classroom Equipment
89(1)
Related Children's Literature
90(1)
Links to Technology
90(1)
References
90(1)
Graphing
91(15)
Topics for Graphing Experiences
92(1)
The Challenge in Reading Graphs
93(1)
Questions about Graphing
94(1)
Early Experiences with Graphing
94(6)
Choosing Categories That Avoid Hurt Feelings or Wanting to Be on the Winning Side
100(1)
Probability
101(5)
Summary
101(1)
Ready-Set-Math
102(1)
Fieldwork: A Clinical Log or Math Journal
103(1)
More Activities and Study Questions
104(1)
Classroom Equipment
104(1)
Related Children's Literature
105(1)
Links to Technology
105(1)
References
105(1)
Developing Number Sense
106(24)
A Cultural Perspective
106(1)
Counting: The Young Child Plays and Learns
107(2)
Research and Today's Classroom
109(1)
Piaget's Tests of Conservation
110(1)
Guided Learning Activities
111(3)
Counting-On Activities
114(1)
Counting-Back Activities
115(2)
From Counting to Part-Part-Whole Activities
117(3)
Thinking in Groups
120(1)
Reading and Writing Numerals
121(1)
Fractions and Number Sense
122(8)
Summary
124(1)
Ready-Set-Math
124(2)
Fieldwork: A Clinical Log or Math Journal
126(1)
More Activities and Study Questions
127(1)
Classroom Equipment
127(1)
Related Children's Literature
127(1)
Related Records and Tapes
128(1)
Links to Technology
128(1)
References
128(2)
Problem Solving: Addition and Subtraction
130(22)
Math Is Problem Solving
131(1)
Choosing a Problem
131(1)
General Kinds of Problems
132(1)
Problem Posing
133(1)
A Positive Environment
134(1)
General Strategies
135(4)
Cognitive Background Information for Teachers: Classes of Problems
139(3)
Rules of Operation
142(2)
Helping Children Write Their Own Problems
144(1)
Using What Children Know to Learn the Facts
145(7)
Summary
146(1)
Ready-Set-Math
147(1)
Fieldwork: A Clinical Log or Math Journal
148(1)
More Activities and Study Questions
149(1)
Classroom Equipment
149(1)
Related Children's Literature
149(1)
Links to Technology
150(1)
References
150(2)
Understanding Our Place Value System
152(17)
Base-Ten
152(2)
Multiple Conceptions of Place Value
154(1)
Children's Natural Preferences
155(2)
Manipulatives
157(5)
Estimating and Rounding Larger Numbers
162(2)
Assessing Children's Understanding of Place Value
164(5)
Summary
164(1)
Ready-Set-Math
165(1)
Fieldwork: A Clinical Log or Math Journal
166(1)
More Activities and Study Questions
167(1)
Classroom Equipment
167(1)
Related Children's Literature
167(1)
Links to Technology
168(1)
References
168(1)
Measurement
169(22)
Definition
170(1)
Principles of Measurement
170(1)
The General Method
171(1)
The Young Child Plays and Learns
172(1)
Two Measurement Systems
173(1)
Difficulties in the Measurement Process
174(2)
Guided Learning
176(15)
Summary
185(1)
Ready-Set-Math
185(3)
Fieldwork: A Clinical Log or Math Journal
188(1)
More Activities and Study Questions
188(1)
Classroom Equipment
188(1)
Related Children's Literature
189(1)
Related Records and Tapes
189(1)
Links to Technology
190(1)
References
190(1)
Problem Solving: Multiplication and Division
191(18)
Definition
192(1)
Readiness for Multiplication and Division
192(1)
Children's Natural Strategies
193(1)
Cognitive Background for Teachers: Classes of Problems
194(4)
Remainders
198(1)
Illustrations
198(2)
Linking Problem Solving to Symbolic Representation
200(1)
Rules of Operation
201(1)
The Role of Zero
202(1)
Helping Children Write Their Own Problems
202(1)
Learning the Multiplication Facts
203(6)
Summary
204(1)
Ready-Set-Math
204(3)
Fieldwork: A Clinical Log or Math Journal
207(1)
More Activities and Study Questions
207(1)
Classroom Equipment
207(1)
Related Children's Literature
207(1)
Links to Technology
208(1)
References
208(1)
Assessment
209(17)
Assessment and Evaluation Defined
210(3)
Curriculum Reform and Alignment
213(1)
Assessment Strategies
213(8)
Scoring Methods
221(1)
Alternatives for Students in Inclusive Settings
221(2)
Record Keeping
223(3)
Summary
224(1)
Fieldwork: A Clinical Log or Math Journal
224(1)
More Activities and Study Questions
225(1)
Links to Technology
225(1)
References
225(1)
Planning for Success: A Good Beginning
226(14)
How Do I Get Started?
226(5)
How Can I Involve Parents in My Program?
231(1)
What Should I Do If My Students Have Had Only Rote Math Background?
232(1)
How Can I Meet the Needs of Children from Diverse Backgrounds?
232(2)
How Can I Use Technology to Enhance Learning?
234(6)
Summary
237(1)
Fieldwork: A Clinical Log or Math Journal
237(1)
More Activities and Study Questions
237(1)
Links to Technology
238(1)
References
238(2)
Thematic Units
240(27)
All about Bears (Preschool)
240(6)
The Circus (Preschool-Kindergarten)
246(6)
Insects (Preschool-Kindergarten)
252(7)
Peter Rabbit (First and Second Grade)
259(8)
Appendixes
267(8)
A: The More or Less Game
267(1)
B: Algebraic Solution
267(1)
C: Glyph Clowns
268(1)
D: Ten Strips
269(1)
E: Dot Cards
269(1)
F: Five and Ten Frames
270(1)
G: Bear Pond
270(1)
H: First-Grade Mathematics Informal Assessment
271(2)
I: Bingo Card
273(1)
J: One Hundred Chart
273(1)
K: A Curriculum Web
274(1)
Index275

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