This brief investigation exemplifies such considerations by relating concepts from number theory, set theory, probability, logic, and calculus. Satisfying the call for students to acquire skills in estimation, the following technique allows one to "immediately estimate" whether or not a number is prime. (MM)

Teaching mathematics with games and puzzles goes back in history. Presents an example with the set theory game called Subset Takeaway in which two players can play. Creates a geometric representation of Subset Takeaway starting with a triangle and going to a three-dimensional simplex. Illustrates the winning strategy in the game and features a…

Part of a series which aims to promote the use of mathematics in the undergraduate geosciences curriculum. Focuses on mathematical set theory and classification of rocks. (Author/MM)

Explains a non-standard definition of an ellipse familiar to astronomers and workers in celestial mechanics but which is not usually given in undergraduate text books on mathematics. (MM)

This is part one of a two-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to exercises, and a set of illustrative test questions. Chapter topics include sets, relations and functions, polynomial functions, and algebra of polynomial functions. (MP)

Reviews some fundamental mathematical ideas on sets and counting. Provides problems based on those ideas and their answers. (ASK)

The use of indicator functions is promoted as a vehicle for providing students with greater appreciation and understanding of the function concept, which might be good preparation for the functional concepts of probability and random variable. The use is seen to provide a reasonably accessible method of verifying set-theoretic statements. (MP)

Set concepts are used in this story about a swimming excursion in France, with "real" applications of mathematics presented. (MNS)

Scope and content charts specifying units, topics, and time allotment are provided for grades 7 and 8. Units covered in grade 7 are sets, systems of numeration, whole numbers, positive rational numbers, geometry, and ratio, proportion, and percent. Units covered in grade 8 are sets, real numbers, ratio, proportion and percent, geometry, coordinate…

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include points, lines, space, planes, names, intersection of sets, intersection of lines and planes,…

This is a kindergarten manual for teachers using SMSG elementary school text materials. For each chapter, objectives, vocabulary, materials, and activities to help develop concepts are given. Chapter topics include: (1) sets; (2) recognizing geometric shapes; (3) comparison of sets; (4) subset; (5) joining and removing; (6) ordering; (7) using…

Two versions of a page of exercises using set ideas are presented, one in plain language and one in technical language. Some questions and answers about the appropriateness of set terminology and symbols are then given. (MNS)

Described are graphing activities which can be instrumental in introducing the mathematics concepts of counting, sorting, grouping, and comparing on the primary level. On the intermediate level, these activites can be used to introduce collecting and sorting unorganized data, and creating graphs to represent the data. (Author/TG)

Three methods of proof are analyzed as a means of aiding teachers in presenting arguments for certain number concepts. These are: (1) proof by contradiction, (2) Venn diagrams, and (3) method of exhaustion. (MP)

Presents preschool and kindergarten teachers with ideas and guidelines for teaching mathematics, focusing on the processes of classifying, comparing, matching, adding, and subtracting in relation to number sets, especially as children encounter sets in play settings. (BB)