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Winkel, Brian J. – International Journal of Mathematical Education in Science and Technology, 2012
This article offers modelling opportunities in which the phenomena of the spread of disease, perception of changing mass, growth of technology, and dissemination of information can be described by one differential equation--the logistic differential equation. It presents two simulation activities for students to generate real data, as well as…
Descriptors: Mathematical Models, Calculus, Diseases, Class Activities
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Myers, Joseph; Trubatch, David; Winkel, Brian – PRIMUS, 2008
We discuss the introduction and teaching of partial differential equations (heat and wave equations) via modeling physical phenomena, using a new approach that encompasses constructing difference equations and implementing these in a spreadsheet, numerically solving the partial differential equations using the numerical differential equation…
Descriptors: Equations (Mathematics), Calculus, Teaching Methods, Mathematical Models
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Sturdivant, Rod; Watts, Krista – PRIMUS, 2010
This article presents material that has been used as a classroom activity in a calculus-based probability and statistics course. The application was used in the first few lessons of this course. Students had three previous semesters of math, including calculus (single and multivariable), differential equations, and a course in mathematical…
Descriptors: Probability, Calculus, Mathematics Instruction, Communicable Diseases
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Erickson, Amy H.; Melendez, Barbra S.; Ball, Daniel L.; Morse, Steven T.; Phillips, Geoffrey P. – PRIMUS, 2010
This project is one of four that were issued to first semester sophomore undergraduates at the United States Military Academy as part of an integrated learning experience at the end of their Calculus II course work. This project was used during a short, seven lesson block of instruction that was intended to capitalize on their recent academic…
Descriptors: Majors (Students), Mathematical Models, Learning Experience, Calculus
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Burks, Robert; Lindquist, Joseph; McMurran, Shawnee – PRIMUS, 2008
At United States Military Academy, a unit on biological modeling applications forms the culminating component of the first semester core mathematics course for freshmen. The course emphasizes the use of problem-solving strategies and modeling to solve complex and ill-defined problems. Topic areas include functions and their shapes, data fitting,…
Descriptors: Group Activities, Calculus, Matrices, Liberal Arts
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Yackel, Erna; Stephan, Michelle; Rasmussen, Chris; Underwood, Diana – Educational Studies in Mathematics, 2003
In this paper we present three cases of instructional design that illustrates both horizontal didactising, the activity of using already established principles to design instruction, and vertical didactising the activity of developing new tools and principles for instructional design. The first case illustrates horizontal didactising by…
Descriptors: Persuasive Discourse, Instructional Design, Foreign Countries, Mathematics Education
Kiker, B. F.; Crouch, Henry L.
The primary objective of this paper is to describe a method of estimating female-male wage ratios. The estimating technique presented is two stage least squares (2SLS), in which equations are estimated for both men and women. After specifying and estimating the wage equations, the male-female wage differential is calculated that would remain if…
Descriptors: Females, Males, Mathematical Formulas, Mathematical Models
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Porter, Christian L.; Hart, Craig H.; Yang, Chongming; Robinson, Clyde C.; Olsen, Susanne Frost; Zeng, Qing; Olsen, Joseph A.; Jin, Shenghua – International Journal of Behavioral Development, 2005
The purpose of this investigation was to examine comparable dimensions and linkages between child temperament and parenting styles with samples from Beijing, China and the western United States. Participants included 404 mothers and fathers from Beijing, China and 325 mothers and fathers from the western United States. Both mothers and fathers…
Descriptors: Mothers, Daughters, Parenting Styles, Child Rearing