Titlebook: Learning Discrete Mathematics with ISETL; Nancy Baxter,Ed Dubinsky,Gary Levin Book 1989 Springer-Verlag New York Inc. 1989 Combinatorics.M

百灵鸟

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congenial

Functions,ay think of a function as nothing more than an expression or formula that sits, statically, on a piece of paper or on the blackboard. This is not a very powerful notion, and it is essential that the student develop a dynamic view of a function as a process that takes an object of some sort and transforms it into another object.

FLIP

Relations and Graphs, various representations of a relation by a map, and a Boolean matrix, as well as graphically by an arrow diagram, graph, digraph, or Hasse diagram when possible. One of our goals is to help the student to be able to go back and forth between the various representations.

豪华

strdulate

伦理学

granite

" because we think that what the student does in order to learn is much more important than what the professor does in order to teach. Academia is filled with outstanding mathematics teachers: excellent expositors, good organizers, hard workers, men and women who have a deep understanding of Mathema

痛恨

GULF

Predicate Calculus,tics. For example, it is hard to imagine how anyone could master the notions of limit and continuity in calculus, linear independence in algebra, or compactness in topology without a solid foundation in working with quantifications.

seroma

Propositional Calculus,t in English, an ISETL (or mathematical) expression that represents the statement, and the computer activities involved in storing and evaluating the expression. Translation back and forth between English and ISETL will be an important activity that will also contribute to the student’s ability to work with formal notation.