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Full Description
For courses in Mathematics for Teachers or Mathematics for Future Elementary Teachers.
Fosters reasoning skills, deep conceptual understanding, and a positive attitude to aspiring elementary or middle school teachers
Mathematical Reasoning for Elementary Teachers presents the mathematical content needed for teaching within the context of the elementary classroom. The authors endeavor to answer the frequently asked question "Why are we learning this?" by going beyond skill explanations to show how these concepts are implemented in the future classroom, and what types of questions children may ask. The Common Core State Standards for Mathematics are included.
This Media Update for the 7th Edition features:
Education Insights video program adapted from teacher education videos, produced with assessment questions, worksheets, and an implementation guide
Common Core in Action videos with assessment questions
Common Core Assessment Analysis questions
GeoGebra animations with assessment questions
Assessment questions for lecture videos
MindSet material.
Personalize learning with MyLab Math
By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.
Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase both the physical text and MyLab Math, search for:
0135167469 / 97801351674 Mathematical Reasoning for Elementary Teachers Plus MyLab Math Media Update - Access Card Package, 7/e
Package consists of:
013475882X / 9780134758824 Mathematical Reasoning for Elementary Teachers - Media Update
013476675X / 9780134766751 MyLab Math with Pearson eText - Access Card - for Mathematical Reasoning for Elementary Teachers - Media Update
Contents
Thinking Critically
1.1 An Introduction to Problem Solving
1.2 Polya's Problem-Solving Principles and the Standards for Mathematical Practice of the Common Core State Standards for Mathematics
1.3 More Problem-Solving Strategies
1.4 Algebra as a Problem-Solving Strategy
1.5 Additional Problem-Solving Strategies
1.6 Reasoning Mathematically
Sets and Whole Numbers
2.1 Sets and Operations on Sets
2.2 Sets, Counting, and the Whole Numbers
2.3 Addition and Subtraction of Whole Numbers
2.4 Multiplication and Division of Whole Numbers
Numeration and Computation
3.1 Numeration Systems Past and Present
3.2 Algorithms for Addition and Subtraction of Whole Numbers
3.3 Algorithms for Multiplication and Division of Whole Numbers
3.4 Mental Arithmetic and Estimation
3.5 Nondecimal Positional Systems
Number Theory
4.1 Divisibility of Natural Numbers
4.2 Tests for Divisibility
4.3 Greatest Common Divisors and Least Common Multiples
Integers
5.1 Representation of Integers
5.2 Addition and Subtraction of Integers
5.3 Multiplication and Division of Integers
Fractions and Rational Numbers
6.1 The Basic Concepts of Fractions and Rational Numbers
6.2 Addition and Subtraction of Fractions
6.3 Multiplication and Division of Fractions
6.4 The Rational Number System
Decimals, Real Numbers, and Proportional Reasoning
7.1 Decimals and Real Numbers
7.2 Computations with Decimals
7.3 Proportional Reasoning
7.4 Percent
Algebraic Reasoning, Graphing, and Connections with Geometry
8.1 Variables, Algebraic Expressions, and Functions
8.2 Graphing Points, Lines, and Elementary Functions
8.3 Connections between Algebra and Geometry
Geometric Figures
9.1 Figures in the Plane
9.2 Curves and Polygons in the Plane
9.3 Figures in Space
Measurement: Length, Area, and Volume
10.1 The Measurement Process
10.2 Area and Perimeter
10.3 The Pythagorean Theorem
10.4 Volume
10.5 Surface Area
Transformations, Symmetries, and Tilings
11.1 Rigid Motions and Similarity Transformations
11.2 Patterns and Symmetries
11.3 Tilings and Escher-like Designs
Congruence, Constructions, and Similarity
12.1 Congruent Triangles
12.2 Constructing Geometric Figures
12.3 Similar Triangles
Statistics: The Interpretation of Data
13.1 Organizing and Representing Data
13.2 Measuring the Center and Variation of Data
13.3 Statistical Inference
Probability
14.1 The Basics of Probability
14.2 Applications of Counting Principles to Probability
14.3 Permutations and Combinations
14.4 Odds, Expected Values, Geometric Probability, and Simulations