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Steele, Joel S.; Ferrer, Emilio – Multivariate Behavioral Research, 2011
This article presents our response to Oud and Folmer's "Modeling Oscillation, Approximately or Exactly?" (2011), which criticizes aspects of our article, "Latent Differential Equation Modeling of Self-Regulatory and Coregulatory Affective Processes" (2011). In this response, we present a conceptual explanation of the derivative-based estimation…
Descriptors: Calculus, Responses, Simulation, Models
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Oud, Johan H. L.; Folmer, Henk – Multivariate Behavioral Research, 2011
This article addresses modeling oscillation in continuous time. It criticizes Steele and Ferrer's article "Latent Differential Equation Modeling of Self-Regulatory and Coregulatory Affective Processes" (2011), particularly the approximate estimation procedure applied. This procedure is the latent version of the local linear approximation procedure…
Descriptors: Structural Equation Models, Computation, Calculus, Simulation
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Humphry, Stephen M. – Measurement: Interdisciplinary Research and Perspectives, 2011
This article presents Stephen Humphry's response to the commentaries for his article "The Role of the Unit in Physics and Psychometrics." The commentaries covered a range of important considerations and implications. Given that the author fully agrees with the majority of the content, attention will be confined mainly to points that call…
Descriptors: Physics, Criticism, Misconceptions, Calculus
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Speiser, Bob; Walter, Chuck – Journal of Mathematical Behavior, 1994
Describes the use of time-lapse photographs of a running cat as a model to investigate the concepts of function and derivative in a college calculus course. Discusses student difficulties and implications for teachers. (MKR)
Descriptors: Calculus, Functions (Mathematics), Higher Education, Mathematical Models
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Katz, Victor J. – For the Learning of Mathematics, 1986
Some concrete examples of the use of historical materials in developing certain topics from precalculus and calculus are presented. Ideas which can be introduced with a reformulated curriculum are discussed in five areas: algorithms, combinatorics, logarithms, trigonometry, and mathematical models. (MNS)
Descriptors: Algorithms, Calculus, College Mathematics, Higher Education
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Minton, Roland – PRIMUS, 1991
Described are student/consultant reports, turned in as homework, that reflected their abilities to distinguish useful from irrelevant information, solve the underlying calculus extremum problem, and reconcile the individual mathematical solutions with the ethical considerations surrounding the moral dilemma of the hypothetical consulting client.…
Descriptors: Calculus, College Mathematics, Content Area Writing, Ethics