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KEY MESSAGE: More than 350,000 readers have prepared for teaching mathematics with A Problem Solving Approach to Mathematics for Elementary School Teachers since its first edition, and it remains the gold standard today. This text not only helps readers learn the material by promoting active learning and developing skills and concepts-it also provides an invaluable reference to future teachers by including professional development features and discussions of today's standards. This new edition is streamlined to keep readers focused on what is most important. The Common Core State Standards (CCSS) have been integrated into the book to keep current with educational developments. KEY TOPICS: An Introduction to Problem Solving; Numeration Systems and Sets; Whole Numbers and Their Operations; Number Theory; Integers; Rational Numbers and Proportional Reasoning; Rational Numbers as Decimals and Percents; Real Numbers and Algebra; Probability; Data Analysis/Statistics: An Introduction; Introductory Geometry; Congruence and Similarity with Constructions; Congruence and Similarity with Transformations; Area, Pythagorean Theorem, and Volume MARKET: For all readers interested in teaching elementary school mathematics.

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The finite simple groups come in several infinite families (alternating groups and the group of Lie type) plus 26 sporadic groups. A leisurely and rigorous study of two of three generations of sporadic groups is the purpose of the book. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.