Connections to NCTM`s Principles and Standards

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Connections to NCTM’s
Principles and Standards for
School Mathematics
Communication is featured as one of the standards in NCTM’s Principles and
Standards for School Mathematics (2000) at all grade levels. Every example in
this book demonstrates how teachers can foster good mathematical communication. In addition, each example illustrates how communication is incorporated into instruction focused on mathematical content and procedures. The
table below highlights one standard for each example; however, other standards are also addressed in individual examples.
NCTM Standard
Grade
Level
Chapter
Mathematics Content
Algebra
3
2
Solving equations using
guess-and-check
Algebra
5
Case Study 2
Algebra
6
6
Equality using balance
scales
Connections
1
4
Addition strategies
Connections
1
7
Addition symbols
Connections
2
5
Subtraction
Connections
6
Case Study 3
fair games (case study)
Data Analysis and
Probability
3
Case Study 1
Data analysis (case study)
Data Analysis and
Probability
6
Case Study 3
Experimental and theoretical probability (case study)
Geometry
K
7
Algebraic expressions and
equations (case study)
Sorting objects by
attributes
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Classroom Discussions: Using Math Talk to Help Students Learn, Grades K–6, Second Edition
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C o n n e c t i o n s t o N C T M ’s P r i n c i p l e s a n d S t a n d a r d s
NCTM Standard
Grade
Level
Chapter
Mathematics Content
Geometry
1
2
Characteristics of triangles
Geometry
3
7
Classification of 3-D
figures (no dialogue)
Geometry
6
7
Concept of similarity
(no dialogue)
Geometry
6
7
Meaning of congruent
(no dialogue)
Geometry
6
9
Area of circles
Measurement
2
7
Meaning of quarter
(no dialogue)
Measurement
2
9
Units (no dialogue)
Measurement
3
Case Study 1
linear measurement
(case study)
Measurement
4
3
Area of parallelograms
Number and Operations
3
1
Commutative property of
multiplication
Number and Operations
3
4
Subtraction with
regrouping, estimation
Number and Operations
4
2
Even and odd numbers
Number and Operations
5
2
Fraction concepts; division
of fractions
Number and Operations
5
3
Subtraction of decimals
Number and Operations
5
4
Decimal operations
Number and Operations
5
4
Distributive property of
multiplication over addition,
double-digit multiplication
Number and Operations
5
8
Fractions comparison
Number and Operations
6
2
Division of fractions
Problem Solving
3
5
Money
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Classroom Discussions: Using Math Talk to Help Students Learn, Grades K–6, Second Edition
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C o n n e c t i o n s t o N C T M ’s P r i n c i p l e s a n d S t a n d a r d s
NCTM Standard
Grade
Level
Chapter
Mathematics Content
Problem Solving
4
5
Multiplication and division
Problem Solving
6
5
Ratios (no dialogue)
Reasoning and Proof
K
6
Inductive reasoning
Reasoning and Proof
4
6
Deductive reasoning
Reasoning and Proof
5
Case Study 2
Representation
2
5
Addition basic facts
Representation
2
3
Equivalent representations
of numbers
Representation
2
5
Column addition
(no dialogue)
Equivalent representations
of numbers
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Classroom Discussions: Using Math Talk to Help Students Learn, Grades K–6, Second Edition
© 2009 Math Solutions