ERIC Number: ED101965
Record Type: Non-Journal
Publication Date: 1973
Reference Count: N/A
Elements of Mathematics, Book O: Intuitive Background. Chapter 3, Sets, Subsets and Operations with Sets.
Exner, Robert; And Others
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is intended to provide students with a general background in the analytical methods of mathematics and practice in reasoning with mathematical objects; other texts (Books 1-12) prepared for use with book O explore particular areas in depth. In this chapter, discussion and problems introduce the ideas of object, set, element, set of sets, and empty set; a proof of the uniqueness of the empty set is provided. Venn diagrams are used in discussions of subset, intersection, union, difference, and complement. Methods of counting subsets are developed; and relationships among the elements of Pascal's triangle are derived, some in the text and others as problems. (SD)
Descriptors: Curriculum, Diagrams, Experimental Curriculum, Individualized Instruction, Mathematical Concepts, Problem Sets, Secondary Education, Secondary School Mathematics, Set Theory, Textbooks
CEMREL, Inc., 3120 59th Street, St. Louis, Missouri 63139 (no price quoted); ERIC/SMEAC, The Ohio State University, 400 Lincoln Tower, Columbus, Ohio 43210 (on loan)
Publication Type: Books
Education Level: N/A
Sponsor: National Inst. of Education (DHEW), Washington, DC.
Authoring Institution: CEMREL, Inc., St. Louis, MO.
Identifiers - Location: Illinois