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Eyes on Math: A Visual Approach to Teaching Math Concepts [Pehme köide]

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Illustrated by ,
  • Formaat: Paperback / softback, 230 pages, kõrgus x laius x paksus: 251x175x15 mm, kaal: 520 g
  • Ilmumisaeg: 30-Dec-2012
  • Kirjastus: Teachers' College Press
  • ISBN-10: 0807753912
  • ISBN-13: 9780807753910
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  • Pehme köide
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  • Kogus:
  • Lisa ostukorvi
  • Tasuta tarne
  • Lisa soovinimekirja
Eyes on Math: A Visual Approach to Teaching Math ConceptsSuurem pilt
  • Formaat: Paperback / softback, 230 pages, kõrgus x laius x paksus: 251x175x15 mm, kaal: 520 g
  • Ilmumisaeg: 30-Dec-2012
  • Kirjastus: Teachers' College Press
  • ISBN-10: 0807753912
  • ISBN-13: 9780807753910
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780807753910.html
Märksõnad:

This new book is an exciting follow-up to the authors’ bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math!

For each of more than 120 visuals, the text identifies the key math concept and the Common Core State Standard being addressed and then provides teachers with:

  • Mathematical background and context.
  • Questions to use with students to lead the instructional conversation.
  • Expected answers and explanations of why each question is important.
  • Follow-up extensions to solidify and assess student understanding.

This book will be useful to a broad range of teachers who will find new ways to clarify concepts that students find difficult. It can be used as a resource to prepare teachers for the higher mathematical thinking requirements of the CCSS Mathematical Practices. It will also be an invaluable resource for teachers working with students with low reading ability, including English language learners and special education students.

PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.

Preface vii
Acknowledgments ix
1 Background
1(4)
Visualization in Math
1(1)
Focusing on the Important Math
2(1)
Building Mathematical Communication
3(2)
2 Grades K--2
5(74)
Counting Up by 1s
6(2)
Counting Back by 1s
8(2)
Counting Up by 2s
10(2)
Counting Back by 2s
12(2)
Counting Up by 5s
14(2)
Counting Back by 5s
16(2)
Counting Up by 10s
18(2)
Counting Back by 10s
20(2)
Comparing Numbers by Matching
22(2)
Benchmark Numbers: All About 5
24(2)
Benchmark Numbers: All About 10
26(2)
Ordinal Numbers
28(2)
Addition as Combining
30(2)
Addition to Describe Part-Part-Whole Situations
32(2)
Adding 0 and Adding 1
34(2)
Addition: Commutativity
36(2)
Addition: Changing Addends, But Not the Sum
38(2)
Adding or Subtracting 10
40(2)
Subtraction as Taking Away
42(2)
Subtraction to Compare
44(2)
Relating Addition and Subtraction
46(2)
Naming Two-Digit Numbers
48(2)
Naming Three-Digit Numbers
50(2)
Place Value: Grouping in Tens
52(2)
Place Value: Positions
54(2)
Comparing Sizes of Numbers
56(2)
Fractions: Halves
58(2)
Fractions: Quarters
60(2)
Measurement: Meaning of Length
62(2)
Measurement: Effect of Unit Size
64(2)
Measurement: Standard Units of Length
66(2)
2-D Shapes Versus 3-D Shapes
68(2)
Comparing 2-D Shapes
70(2)
Comparing 3-D Shapes
72(2)
Composing Shapes
74(2)
Shape Puzzles
76(3)
3 Grades 3--5
79(74)
Multiplication: Equal Groups
80(2)
Multiplication: Commutativity
82(2)
Multiplication: The Distributive Principle
84(2)
Multiplication: 2-Digit by 2-Digit
86(2)
Division as Equal Groups or Sharing
88(2)
Division: Remainders
90(2)
Rounding Numbers
92(2)
Place Value: Multiplying and Dividing by Powers of 10
94(2)
Place Value: Renaming Numbers
96(2)
Factors: What They Are
98(2)
Factors Come in Pairs
100(2)
Fractions: Representing
102(2)
Fractions: Equivalence
104(2)
Fractions: Comparing
106(2)
Fractions: Mixed Number/Improper Fraction Relationship
108(2)
Fractions: Common Denominators
110(2)
Adding Fractions
112(2)
Multiplying Fractions
114(2)
Fractions: Multiplying as Resizing
116(2)
Fractions as Division
118(2)
Decimals: Relating Hundredths to Tenths
120(2)
Decimals: Equivalence
122(2)
Decimals: Adding and Subtracting
124(2)
Measurement: Time Intervals
126(2)
Measurement: Area of Rectangles
128(2)
Perimeter versus Area
130(2)
Measurement Conversions
132(2)
Graphs with Scales
134(2)
Coordinate Grids
136(2)
Classification of Shapes
138(2)
Parallel and Perpendicular Lines
140(2)
Lines of Symmetry
142(2)
Patterns versus Non-patterns
144(2)
Algebraic Thinking: Growing Additively
146(2)
Algebraic Thinking: Shrinking Additively
148(2)
Algebraic Thinking: Growing Multiplicatively
150(3)
4 Grades 6--8
153(70)
Common Factors
154(2)
Common Multiples
156(2)
Square Roots
158(2)
Fraction Division
160(2)
Ratios: Multiple Ratios Describe Any Situation
162(2)
Equivalent Ratios
164(2)
Equivalent Rates
166(2)
Solving Rate Problems
168(2)
Describing Percent
170(2)
Uses of Integers
172(2)
The Zero Principle
174(2)
Subtraction of Integers as a Directed Distance
176(2)
Multiplication and Division of Integers
178(2)
Area of a Parallelogram
180(2)
Area of a Triangle
182(2)
The Pythagorean Theorem
184(2)
Pi
186(2)
How Measurements Are and Are Not Related
188(2)
Mean
190(2)
Variability
192(2)
Sampling
194(2)
Probability: What It Means
196(2)
Unpredictability
198(2)
Rotations, Reflections, and Translations
200(2)
Scale Drawings
202(2)
Dilatations
204(2)
Angles with Parallel Lines
206(2)
Equivalent Expressions
208(2)
Equation as a Balance
210(2)
Different Types of Equations
212(2)
What Is Linear?
214(2)
Role of the Slope in the Equation of a Line
216(2)
Systems of Equations
218(2)
Function Rules
220(3)
Appendix: Connections Between Topics and Common Core Standards 223(2)
References 225(2)
Index 227(3)
About the Authors 230
Marian Small is the former Dean of Education at the University of New Brunswick, longtime professor of mathematics education, and bestselling author.

Amy Lin is a mathematics consultant for the Halton District School Board in Ontario.