Through a cautious therapy of quantity thought and geometry, **Number, Shape, & Symmetry: An creation to quantity thought, Geometry, and staff Theory** is helping readers comprehend critical mathematical principles and proofs. Classroom-tested, the ebook attracts at the authors’ winning paintings with undergraduate scholars on the college of Chicago, 7th to 10th grade mathematically gifted scholars within the college of Chicago’s younger students application, and straight forward public institution lecturers within the Seminars for Endorsement in technological know-how and arithmetic schooling (SESAME).

The first 1/2 the e-book makes a speciality of quantity idea, starting with the foundations of mathematics (axioms for the integers). The authors then current the entire simple principles and purposes of divisibility, primes, and modular mathematics. in addition they introduce the summary thought of a gaggle and comprise quite a few examples. the ultimate themes on quantity conception include rational numbers, actual numbers, and concepts approximately infinity.

Moving directly to geometry, the textual content covers polygons and polyhedra, together with the development of standard polygons and standard polyhedra. It stories tessellation by means of taking a look at styles within the airplane, in particular these made by means of common polygons or units of standard polygons. The textual content additionally determines the symmetry teams of those figures and styles, demonstrating how teams come up in either geometry and quantity theory.

The e-book is acceptable for pre-service or in-service education for common college lecturers, normal schooling arithmetic or math for liberal arts undergraduate-level classes, and enrichment actions for prime university scholars or math clubs.