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Lubowsky, Jack – Mathematics and Computer Education, 2011
In Pre-Calculus courses, students are taught the composition and combination of functions to model physical applications. However, when combining two or more functions into a single more complicated one, students may lose sight of the physical picture which they are attempting to model. A block diagram, or flow chart, in which each block…
Descriptors: Graphing Calculators, Flow Charts, Calculus, Educational Technology

McKeough, William J. – Mathematics and Computer Education, 1983
A procedure using calculators is described to test Ulam's conjecture that all positive integers converge to 1, if subject to certain iterated transformations. (MNS)
Descriptors: Calculators, College Mathematics, Critical Thinking, Higher Education

Reiter, Betty; Reiter, Harold – Mathematics and Computer Education, 1991
Annotated are questionnaire responses from 88 state and regional contest supervisors concerning trends in calculator usage and nonusage among 59 represented mathematical contests. Discussed are advantages and disadvantages for specific contest problem types with respect to both pencil-and-paper and calculator methods of solution. (JJK)
Descriptors: Calculators, Mathematical Enrichment, Mathematics Education, Mathematics Tests

Lopez, Antonio M. – Mathematics and Computer Education, 1996
Presents a methodology designed to strengthen the cognitive effects of using graphing calculators to solve polynomial equations using pattern matching, searching, and heuristics. Discusses pattern matching as a problem-solving strategy useful in the physical, social, political, and economic worlds of today's students. (DDR)
Descriptors: Algebra, Calculators, Educational Strategies, Educational Technology

Cruthirds, John; Dodd, Fred – Mathematics and Computer Education, 1997
Provides pathological examples for which graphing calculators sometimes give surprising, misleading, or incorrect results. Investigates some of the more interesting of these examples encountered while using the TI-85 in a variety of undergraduate courses including calculus and matrix theory. (DDR)
Descriptors: Algorithms, Calculators, Calculus, College Curriculum

Mingus, Tabitha; Grassl, Richard – Mathematics and Computer Education, 1997
Secondary mathematics teachers participated in a problem-solving course in which technology became a means to develop as teachers and as problem solvers. Findings indicate a delineation between technical competence and metatechnology--thinking about how and when to apply technology to particular problems. (PVD)
Descriptors: Computer Assisted Instruction, Computer Uses in Education, Critical Thinking, Graphing Calculators

Dobbs, David E.; Peterson, John C. – Mathematics and Computer Education, 1997
Presents several types of functions which fit a given set of data and create opportunities for classroom discussion comparing different kinds of functions and identifying some of the potential hazards associated with extrapolation from best-fit functions. (DDR)
Descriptors: Algorithms, Calculators, Calculus, College Curriculum