Mathematics for Elementary School Teachers 1st Edition, (Ebook PDF)

Mathematics for Elementary School Teachers 1st Edition, (Ebook PDF) – Digital Instant Dowload.

Product details:

• ISBN-10 ‏ : ‎ 0538493631
• ISBN-13 ‏ : ‎ 978-0538493635
• Author: Ricardo D. Fierro

Mathematics for Elementary School Teachers is designed to give you a profound understanding of the mathematical content that you are expected to know and be able to teach. The chapters integrate the National Council of Teachers of Mathematics (NCTM) Standards and Expectations and the new Common Core State Standards, as well as research literature. The five NCTM Process Standards of problem solving, reasoning and proof, communication, connections, and representation highlight ways that teachers present content, the ways that students learn content, and various ways that students can demonstrate procedural and conceptual understanding. The worked examples and homework questions provide prospective elementary school teachers with opportunities to develop mathematical knowledge, understanding, and skills that they can apply in their own classrooms effectively. The learning path begins with the “Where Are We Going?” Chapter Openers, worked Examples with Yellow Markers that indicate the Process Standards throughout the text, to the Concept Maps, to the Section Question Sets with their “refreshers” of Process Standards, to the Chapter Organizers with Learning Outcomes and a list of the corresponding Review Questions, and finally, conclude at the Chapter Tests with their overarching Learning Outcomes.

Table of contents:

1. PROBLEM SOLVING AND REASONING.
Patterns and Inductive Reasoning. Problem-Solving Strategies. Algebra and Problem Solving. Logic and Deductive Reasoning. Chapter Review. Chapter Test.
2. SETS, NUMERATION, AND ADDITION AND SUBTRACTION WITH WHOLE NUMBERS.
Sets and Operations. Numbers and Numeration. Models and Properties of Addition and Subtraction. Algorithms for Whole-Number Addition and Subtraction. Chapter Review. Chapter Test.
3. MULTIPLICATION AND DIVISION WITH WHOLE NUMBERS.
Models and Properties of Multiplication. Models of Division. Algorithms for Whole-Number Multiplication and Division. Chapter Review. Chapter Test.
4. ELEMENTARY NUMBER THEORY AND INTEGERS.
Divisibility of Counting Numbers. Prime and Composite Numbers, LCM, and GCF. Integers. Chapter Review. Chapter Test.
5. RATIONAL NUMBERS AND FRACTIONS.
Concept of Fractions and Representations. Addition and Subtraction with Rational Numbers. Multiplication and Division with Rational Numbers. Ratios and Proportional Reasoning. Chapter Review. Chapter Test.
6. DECIMALS, REAL NUMBERS, AND PERCENTS.
Decimals and Operations. Repeating Decimals, Irrational Numbers, and Real Numbers. Percent and Percent Change. Chapter Review. Chapter Test.
7. ALGEBRA AND FUNCTIONS.
Representing and Creating Functions. Solving Equations. Algebra Tiles. Chapter Review. Chapter Test.
8. DESCRIPTIVE STATISTICS.
Graphical Representation of Data. Measures of Center and Variation. Percentiles, Box Plot, and Outliers. Chapter Review. Chapter Test.
9. PROBABILITY.
Basics of Probability. Probability Rules. Expected Value, Odds, Simulation, and Normal Distribution. Chapter Review. Chapter Test.
10. INTRODUCTION TO GEOMETRY.
Representation of Building Blocks of Geometry. Pairs of Angles and Types of Polygons. Three-Dimensional Shapes. Chapter Review. Chapter Test.
11. MEASUREMENT.
Concept of Measurement and Measurement Systems. Perimeter and Area. The Pythagorean Theorem and Triangle Inequalities. Volume and Surface Area. Chapter Review. Chapter Test.
12. TRIANGLES AND QUADRILATERALS.
Congruence Axioms for Triangles. Euclidean Constructions. Similarity. Chapter Review. Chapter Test.
13. COORDINATE GEOMETRY AND PLANE TRANSFORMATIONS.
Representations of Lines. Properties of Polygons Using Coordinate Geometry. Transformations of the Plane. Chapter Review. Chapter Test.