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Harwell, Michael R.; And Others – Journal of Educational Statistics, 1988
The Bock and Aitkin Marginal Maximum Likelihood/EM (MML/EM) approach to item parameter estimation is an alternative to the classical joint maximum likelihood procedure of item response theory. This paper provides the essential mathematical details of a MML/EM solution and shows its use in obtaining consistent item parameter estimates. (TJH)
Descriptors: Algorithms, Computer Software, Equations (Mathematics), Estimation (Mathematics)
Peer reviewed Peer reviewed
Lucas, John F. – Primus, 1993
This paper merges state-of-the-art calculator technology with examples drawn from the Harvard Consortium Calculus Curriculum. A brief rationale for selection of the Harvard project and the TI-85 is provided, and four different mathematical situations are examined using different capabilities of the TI-85. Two short TI-85 programs are given.…
Descriptors: Calculus, College Mathematics, Educational Technology, Equations (Mathematics)
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Pizarro, Antonio – Journal of Computers in Mathematics and Science Teaching, 1988
Explains the use of the 3-dimensional analytic geometry method to find values for a field geology problem. Gives a description of the mathematical theory for this method which can be applied to data obtained by drilling as well as open surfaces, and a computer program. (RT)
Descriptors: Algorithms, Analytic Geometry, College Science, Computation
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Prichard, Mary Kim – Mathematics Teacher, 1993
Discusses the process of mathematical iteration, its benefits as a problem-solving technique, and how to teach it. Presents a selection of mathematical ideas and problems that can be solved and explored using iteration, along with related BASIC computer programs. (MDH)
Descriptors: Computer Assisted Instruction, Equations (Mathematics), Estimation (Mathematics), Learning Strategies
Peer reviewed Peer reviewed
Parris, Richard – College Mathematics Journal, 1991
This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)
Descriptors: Algorithms, Chaos Theory, College Mathematics, Equations (Mathematics)
Peer reviewed Peer reviewed
Esty, Warren W. – Mathematics Teacher, 1991
In polar coordinates, the intersection of the graphs of two functions, f(x) and g(x), does not always correspond to the solutions of the equation f(x) = g(x). Presented are examples to illustrate this concept, proofs demonstrating why this is true, and a computer program to simultaneously plot polar coordinate graphs. (MDH)
Descriptors: Analytic Geometry, Computer Assisted Instruction, Computer Graphics, Equations (Mathematics)
Peer reviewed Peer reviewed
Sandefur, James T. – Mathematics Teacher, 1992
Discusses the use of technology in solving compound interest-rate problems that can be modeled by linear relationships. Uses a graphing calculator to solve the specific problem of determining the amount of money that can be borrowed to buy a car for a given monthly payment and interest rate. (MDH)
Descriptors: Computer Assisted Instruction, Credit (Finance), Equations (Mathematics), Graphing Calculators