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Did you mean equation AND differential?

Budinski, Natalija; Takaci, Djurdjica – International Journal for Technology in Mathematics Education, 2011

This paper proposes modelling based learning as a tool for learning and teaching mathematics. The example of modelling real world problems leading to the exponential function as the solution of differential equations is described, as well as the observations about students' activities during the process. The students were acquainted with the…

Descriptors: Foreign Countries, World Problems, Mathematics Instruction, Problem Solving

Benacka, Jan – EURASIA Journal of Mathematics, Science & Technology Education, 2016

The article gives an account of an experiment in which sixty-eight high school students of age 16 - 19 developed spreadsheet applications that simulated fall and projectile motion in the air. The students applied the Euler method to solve the governing differential equations. The aim was to promote STEM to the students and motivate them to study…

Descriptors: High School Students, STEM Education, Mathematical Models, Spreadsheets

French, A.; Cullerne, J. P.; Kanchanasakdichai, O. – Physics Education, 2019

This paper develops the ideas of "The Pedagogical Power of Context: Iterative Calculus Methods and the Epidemiology of Eyam" (French "et al." 2018 "J. Phys. Educ."), where we considered the application of the Euler method to solve epidemiological problems. Our purpose was to convey some examples of school level work…

Descriptors: Science Instruction, Physics, Visualization, Calculus

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

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

Schweizer, Fabian; Wustenberg, Sascha; Greiff, Samuel – Learning and Individual Differences, 2013

This study examines the validity of the complex problem solving (CPS) test MicroDYN by investigating a) the relation between its dimensions--rule identification (exploration strategy), rule knowledge (acquired knowledge), rule application (control performance)--and working memory capacity (WMC), and b) whether CPS predicts school grades in…

Descriptors: Short Term Memory, Problem Solving, Grades (Scholastic), Test Validity

Street, Karin Elisabeth Sørlie; Malmberg, Lars-Erik; Stylianides, Gabriel J. – ZDM: The International Journal on Mathematics Education, 2017

Students' self-efficacy expectations (SEE) in mathematics are associated with their engagement and learning experiences. Going beyond previous operationalisations of SEE we propose a new instrument that takes into account not only "facet-specificity" (expectations related to particular competences or skills) and "strength"…

Descriptors: Self Efficacy, Mathematics Tests, Mathematics Achievement, Performance Based Assessment

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

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