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Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2023
This article makes a case for introducing moving averages into introductory statistics courses and contemporary modeling/data-based courses in college algebra and precalculus. The authors examine a variety of aspects of moving averages and draw parallels between them and similar topics in calculus, differential equations, and linear algebra. The…
Descriptors: College Mathematics, Introductory Courses, Statistics Education, Algebra
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Gordon, Sheldon P. – International Journal for Technology in Mathematics Education, 2020
The article uses dynamic visualizations in Excel to examine a variety of ways in which students can attain a much greater depth of understanding of optimization problems in introductory calculus. The topics discussed include a variety of common optimization problems that appear in virtually every calculus textbook that can all be enhanced…
Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, Calculus
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Gordon, Sheldon P. – MathAMATYC Educator, 2009
Each year, well over a million students take college algebra and related courses. Very few of these students take the courses to prepare for calculus, but rather because they are required by other disciplines or to fulfill Gen Ed requirements. The present article discusses what the current mathematical needs are in most of those disciplines,…
Descriptors: Social Sciences, Laboratories, Biological Sciences, Calculus
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Gordon, Sheldon P. – PRIMUS, 2008
Most college algebra courses are offered in the spirit of preparing the students to move on toward calculus. In reality, only a vanishingly small fraction of the million students a year who take these courses ever get to calculus. This article builds a strong case for the need to change the focus in college algebra to one that better meets the…
Descriptors: Calculus, Algebra, College Mathematics, Mathematics Instruction