Mathematics for Elementary School Teachers (O'Daffer)

Key differences between 4th and 3rd editions

• Time lapse between current and previous publications: 3 years (2007 vs 2004).
• About 25% of the Exercises are new or revised.
• Each chapter begins with Big Ideas - key concepts necessary to understanding the mathematics and explaining it to others.
• In Analyzing Student Work, one to two examples per chapter of actual student work from the classroom demonstrate how students understand mathematics and further prepare these preservice teachers for their careers.
• Chapter 1 "Mathematical Processes" provides new material on truth tables, statements and their negations, conjunctions, disjunctions, and biconditional statements.
• Chapter 2 "Sets and Whole-Number Operations and Properties" provides new material on the Mayan numeration system.
• Algorithms in Chapter 3 "Estimation and Computation" now connect back to operation meanings in Chapter 2 and a brief discussion of lattice multiplication has been added to Chapter 3.
• Chapter 5 "Understanding Integer Operations and Properties" includes Algebraic notation, that enhances the definition of absolute value, while additional explanation better illustrates the models for addition, subtraction, and multiplication of integers.
• Section 6.1 "Rational Number Ideas and Symbols" has new coverage of adding and subtracting mixed numbers.
• Chapter 7 "Proportional Reasoning" offers new material on ratio, and rate as it relates to ratios.
• Chapter 8 "Analyzing Data" underwent significant updates to data sets and graphical displays to keep information current.
• New, optional Section 9.6 "Permutations and Combinations" focuses on expected values, probability distributions, and the normal curve.
• Re-organized Chapter 10 "Introducing Geometry" expands the basic ideas of geometry and integrates problem solving material throughout the chapter. A new section on similar triangles, with real world examples. Additional examples and exercises on area measure, and discussion of the parallel postulate. Expanded section on quadrilateral definitions and theorems. New coverage of geometry in nature and geometry in human endeavors.
• Chapter 11"Extending Geometry" includes explanations, models, and examples to better illustrate transformations. New explanations and examples clarify generalizations about Star Polygons, and there are now exercises on demi-regular tessellations.
• Chapter 12 "Measurement. More" gives more information on conversions between metric and English systems of measurement.
• Section 13.2 "Solving Equations" contains new information on other ways for solving equations.