an introduction to number theory, geometry, and group theory /
Diane L. Herrmann, Paul J. Sally, Jr
xvii, 426 pages :
illustrations ;
25 cm
Includes bibliographical references (pages 413-414) and index
The triangle game -- The beginnings of number theory -- Axioms in number theory -- Divisibility and primes -- The division and Euclidean algorithms -- Variations on a theme -- Congruences and groups -- Applications of congruences -- Rational numbers and real numbers -- Introduction to geometry and symmetry -- Polygons and their construction -- Symmetry groups -- Permutations -- Polyhedra -- Graph theory -- Tessellations -- Connections -- A. Euclidean geometry review
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"This textbook shows how number theory and geometry are the essential components in the teaching and learning of mathematics for students in primary grades. The book synthesizes basic ideas that lead to an appreciation of the deeper mathematical ideas that grow from these foundations. The authors reflect their extensive experience teaching undergraduate nonscience majors, students in the Young Scholars Program, and public school K-8 teachers in the Seminars for Endorsement of Science and Mathematics Educators (SESAME)."--