A problem solving approach to mathematics for elementary school teachers / Rick Billstein (University of Montana), Barbara Boschmans (Northern Arizona University), Shlomo Libeskind (University of Oregon), Johnny W. Lott (University of Montana).

Format:

Book

Author/Creator:

Billstein, Rick, author.

Boschmans, Barbara, author.

Libeskind, Shlomo, author.

Lott, Johnny W., 1944- author.

Contributor:

Frances Baylinson Rosenbluth Fund.

Language:

English

Subjects (All):

Problem solving--Study and teaching (Elementary).

Problem solving.

Mathematics--Study and teaching (Elementary).

Mathematics.

Physical Description:

xviii, 952 pages, 81 variously numbered pages : illustrations (some color) ; 29 cm

Edition:

Thirteenth edition.

Place of Publication:

Hoboken, NJ : Pearson Education, Inc., [2020]

Contents:

Preface

An introduction to problem solving. Mathematics and problem solving ; Explorations with patterns

Introduction to logic and sets. Reasoning and logic : an introduction ; Describing sets ; Other set operations

Numeration systems and whole number operations. Numeration systems ; Addition of whole numbers ; Subtraction of whole numbers ; Multiplication of whole numbers ; Division of whole numbers

Number theory. Divisibility ; Prime and composite numbers ; Greatest common divisor and least common multiple

Integers. Addition and subtraction of integers ; Multiplication and division of integers

Rational numbers and proportional reasoning. The set of rational numbers ; Addition, subtraction, and estimation with rational numbers ; Multiplication, division, and estimation with rational numbers ; Proportional reasoning

Decimals, percents, and real numbers. Terminating decimals ; Operations on decimals ; Repeating decimals ; Percents ; Real numbers

Algebraic thinking. Variables ; Equals relation and equations ; Functions ; Equations in a Cartesian coordinate system

Probability. Determining probabilities ; Multistage experiments and modeling games ; Simulations and applications of probability ; Counting and techniques in probability

Data analysis/statistics : an introduction. Designing experiments/collecting data ; Displaying data : Part I Displaying data : Part II ; Measures of central tendency and variation

Introductory geometry. Basic notions ; Curves, polygons, and symmetry ; More about angles ; Geometry in three dimensions

Congruence and similarity with constructions. Congruence through constructions ; Additional congruence theorems ; Additional constructions ; Similar triangles and other similar figures

Area, Pythagorean theorem, and volume. Linear measure ; Areas of polygons and circles ; The Pythagorean theorem, distance formula, and equation of a circle ; Surface areas ; Volume and mass

Transformations. Translations, rotations, and tessellations ; Reflections and glide reflections ; Dilations

Answers to select problems.

Notes:

Includes index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Frances Baylinson Rosenbluth Fund.

ISBN:

9780135183885

013518388X

OCLC:

1060185258

Publisher Number:

99982766024