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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 40 mm
Breite: 226 mm
Dicke: 281 mm
Gewicht
ISBN-13
978-0-538-49363-5 (9780538493635)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Ricardo Fierro received a Bachelor of Science degree in Mathematics from the University of California, Davis, and a Ph.D. in Mathematics from the University of California, San Diego (UCSD). He was awarded the President's Dissertation Year Fellowship while completing his Ph.D. at UCSD, and the President's Postdoctoral Fellowship at University of California, Los Angeles, where he continued his research. He has been a faculty member in the Department of Mathematics at California State University San Marcos (CSUSM) since 1992. In addition to teaching mathematics for prospective elementary school teachers, he has taught such courses as numerical analysis and computing, optimization, modern geometry, probability and statistics, linear algebra, college algebra, modern algebra, discrete mathematics, and business calculus. To enrich his understanding of teaching at the grade school level, he spent a sabbatical leave teaching fourth, fifth, and sixth graders at an elementary school, and regularly volunteers as a mathematics teacher at local elementary schools. Professor Fierro is a member of the American Mathematical Association of Two-Year Colleges and the National Council of Teachers of Mathematics. He is married with two children.
Autor*in
California State University, San Marcos
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.
