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Mathematics Commons™

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Mathematics

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Articles 121 - 123 of 123

Full-Text Articles in Mathematics

High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore Jan 2002

High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore

Trotter Review

High-stakes mathematics tests continue to gain popularity in the United States, with an increasing number of states setting the passing of such tests as a high school graduation requirement. Consequently, instruction and instructional content have changed, with teachers emphasizing materials on the test while neglecting other important aspects of learning. The tests have become all-consuming, taking over many students' lives. Yet students are often ill prepared for these tests. This is even more true for African-American students whose cultural and social circumstances make their preparation for high-stakes tests inadequate and ineffective. The author examines six such students - their hopes …

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Some Lesson About The Law From Self-Referential Problems In Mathematics, John M. Rogers, Robert E. Molzon Mar 1992

Some Lesson About The Law From Self-Referential Problems In Mathematics, John M. Rogers, Robert E. Molzon

Michigan Law Review

We first describe briefly mathematician Kurt Gödel's brilliant Incompleteness Theorem of 1931, and explore some of its general implications. We then attempt to draw a parallel between axiomatic systems of number theory (or of logic in general) and systems of law, and defend the analogy against anticipated objections. Finally, we reach two types of conclusions. First, failure to distinguish between language and metalanguage in mathematical self-referential problems leads to fallacies that are highly analogous to certain legal fallacies. Second, and perhaps more significantly, Gödel's theorem strongly suggests that it is impossible to create a legal system that is "complete" in …

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Cultural Commentary: What Hath Rubik Wrought?, Thomas E. Moore Mar 1984

Cultural Commentary: What Hath Rubik Wrought?, Thomas E. Moore

Bridgewater Review

In May, 1980 the Ideal Toy Company launched its newest offering, Rubik’s Cube, at a party in Hollywood, hosted by Zsa-Zsa Gabor and Solomon W. Golomb. Of course Gabor, like the cube, is a Hungarian product but who is Golomb? Well, he is a mathematician at the University of Southern California and an expert in number theory, combinatorics, abstract algebra and coding theory. Rubik invented the cube as an aid in teaching his students three-dimensional thinking. The cube has become the darling of algebraists, who use it to teach group theory to their students.

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