The Mathematics and Science of Fractals

An innovative electronic textbook on a CD-ROM for students who have previously had a hard time with math. It presents the material in a number of different learning styles. Its development was funded, in part, by the National Science Foundation: DUE-9752226 and DUE-9980715. These curricula materials use fractals to teach: WHAT mathematics is HOW mathematicians do mathematics HOW mathematics is used in science (all done with clear explanations and a sense of humor) Excellent for a...
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An innovative electronic textbook on a CD-ROM for students who have previously had a hard time with math. It presents the material in a number of different learning styles. Its development was funded, in part, by the National Science Foundation: DUE-9752226 and DUE-9980715. These curricula materials use fractals to teach: WHAT mathematics is HOW mathematicians do mathematics HOW mathematics is used in science (all done with clear explanations and a sense of humor) Excellent for a High School or Undergraduate College Liberal Arts Class in Mathematics or as enrichment materials for College Algebra or Calculus. The CD-ROM includes: LECTURE NOTES: html textbook. CLASSROOM ACTIVITIES: html, video. SELF-DISCOVERY: java applets, excel spreadsheets. ASSESSMENT TOOLS: homework, journal questions, self-tests. POWERPOINT SLIDES: fractals and chaos. MATH TOPICS COVERED: generalization, isomorphism, iteration, invariants, symmetry, fractals, self-similarity, scaling relationships, dimension, arithmetic series, geometric series, limits, infinity, graphs, linear scales, logarithmic scales, exponents, statistics, normal distributions, stable distributions, dynamical systems, chaos. SCIENCE TOPICS COVERED: brain, ear, eye, heart.