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Debnath, L. – International Journal of Mathematical Education in Science and Technology, 2013
This article deals with a short historical introduction to determinants with applications to the theory of equations, geometry, multiple integrals, differential equations and linear algebra. Included are some properties of determinants with proofs, eigenvalues, eigenvectors and characteristic equations with examples of applications to simple…
Descriptors: Equations (Mathematics), Geometry, Calculus, Algebra
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Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2009
In this note, we present an improved Heaviside approach to compute the partial fraction expansions of proper rational functions. This method uses synthetic divisions to determine the unknown partial fraction coefficients successively, without the need to use differentiation or to solve a system of linear equations. Examples of its applications in…
Descriptors: Equations (Mathematics), Computation, Secondary School Mathematics, College Mathematics
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Geng, Jianming; Chen, Kaiyuan; Wang, Nengxin; Ling, Sihan; Guo, Muqi; Huang, Zuyi – Chemical Engineering Education, 2019
US high school (HS) students are lagging behind their foreign peers in math performance. It is thus necessary to design teaching modules that motivate US HS students to learn more math and to improve their math skills. Our study set out to test two different software programs designed for the development of such skills. MATLAB Simulink provides a…
Descriptors: High School Students, Secondary School Mathematics, Mathematics Education, Computer Software
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Toumasis, Charalampos – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2004
Emphasis on problem solving and mathematical modeling has gained considerable attention in the last few years. Connecting mathematics to other subjects and to the real world outside the classroom has received increased attention in mathematics programs. This article describes an application of simple differential equations in the field of…
Descriptors: Mathematical Models, Dietetics, Calculus, Problem Solving
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Harks, Birgit; Klieme, Eckhard; Hartig, Johannes; Leiss, Dominik – Educational Assessment, 2014
The present study investigates the empirical separability of mathematical (a) content domains, (b) cognitive domains, and (c) content-specific cognitive domains. There were 122 items representing two content domains (linear equations vs. theorem of Pythagoras) combined with two cognitive domains (modeling competence vs. technical competence)…
Descriptors: Numeracy, Cognitive Processes, Mathematical Concepts, Secondary School Mathematics
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Wang, Xueli – Research in Higher Education, 2013
In this study, a theoretical model is tested to examine factors shaping the decision to pursue STEM fields of study among students entering community colleges and four-year institutions, based on a nationally representative sample of high school graduates from 2004. Applying the social cognitive career theory and multi-group structural equation…
Descriptors: STEM Education, Two Year College Students, Community Colleges, Course Selection (Students)
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Grant, Melva R.; Crombie, William; Enderson, Mary; Cobb, Nell – International Journal of Mathematical Education in Science and Technology, 2016
Access to advanced study in mathematics, in general, and to calculus, in particular, depends in part on the conceptual architecture of these knowledge domains. In this paper, we outline an alternative conceptual architecture for elementary calculus. Our general strategy is to separate basic concepts from the particular advanced techniques used in…
Descriptors: Algebra, Mathematical Formulas, Calculus, High Schools