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Did you mean equation AND differential?

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

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

Kougias, Ioannis E. – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2009

Ordinary differential equations (ODEs) is a subject with a wide range of applications and the need of introducing it to students often arises in the last year of high school, as well as in the early stages of tertiary education. The usual methods of solving second-order ODEs with constant coefficients, among others, rely upon the use of complex…

Descriptors: High Schools, Equations (Mathematics), High School Students, Calculus

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

Widmark, Stephen – Physics Teacher, 2012

Many physical systems are described by time-dependent differential equations or systems of such equations. This makes it difficult for students in an introductory physics class to solve many real-world problems since these students typically have little or no experience with this kind of mathematics. In my high school physics classes, I address…

Descriptors: Physics, Equations (Mathematics), Computer Software, Secondary School Science

Ramírez-Montoya, María-Soledad, Ed. – IGI Global, 2017

Educational strategies have evolved over the years, due to research breakthroughs and the application of technology. By using the latest learning innovations, curriculum and instructional design can be enhanced and strengthened. The "Handbook of Research on Driving STEM Learning with Educational Technologies" is an authoritative…

Descriptors: Guides, STEM Education, Educational Technology, Foreign Countries

The Effects of Deeper Learning Opportunities on Student Achievement: Examining Differential Pathways

Ottmar, Erin – Psychology in the Schools, 2019

This study investigates relations between cognitive, interpersonal, and intrapersonal opportunities, noncognitive outcomes, and student achievement in 1,096 students from 20 high schools (10 Deeper Learning [DL] network, 10 control) who participated in the Study of DL (SDL). DL is an umbrella term used to encompass the cognitive, interpersonal,…

Descriptors: Correlation, Interpersonal Relationship, Academic Achievement, Cognitive Development

Kwon, Hyungil H.; Pyun, Do Young; Kim, Ji Young – Asia Pacific Journal of Education, 2019

As a new sports policy, named "School Sport Promotion Group (SSPG)", the Korea government selected 50 schools in 2011 and 2012. Each school was granted US$40,000 a year for a three-year term. The purpose of this study was to examine the effectiveness of the SSPG programme when it pertained to students' motivation and participation in…

Descriptors: Student Motivation, Intention, Physical Activity Level, Government Role

Teaching the Verhulst Model: A Teaching Experiment in Covariational Reasoning and Exponential Growth

Castillo-Garsow, Carlos – ProQuest LLC, 2010

Both Thompson and the duo of Confrey and Smith describe how students might be taught to build "ways of thinking" about exponential behavior by coordinating the covariation of two changing quantities, however, these authors build exponential behavior from different meanings of covariation. Confrey and Smith advocate beginning with discrete additive…

Descriptors: Geometric Concepts, Calculus, Mathematics Instruction, Experiments

Aliiaskarov, Bekchoro; Bakiev, Erlan – Drugs: Education, Prevention & Policy, 2014

This study aims to predict social determinants of alcohol use and examines the influence of social bond/attachment, parental control and social learning on the frequency of youth alcohol use. The total of 1843 complete responses were received from 25 high school students in Bishkek, Kyrgyzstan. The structural equation modeling (SEM) is used to…

Descriptors: Social Control, Drinking, Structural Equation Models, Prediction

Guo, Jiesi; Nagengast, Benjamin; Marsh, Herbert W.; Kelava, Augustin; Gaspard, Hanna; Brandt, Holger; Cambria, Jenna; Flunger, Barbara; Dicke, Anna-Lena; Häfner, Isabelle; Brisson, Brigitte; Trautwein, Ulrich – AERA Open, 2016

Drawing on expectancy-value theory, the present study examined the unique contributions of the four major value beliefs and self-concept on achievement, self-reported effort, and teacher-rated behavioral engagement in mathematics. In particular, we examined the multiplicative effects of self-concept and task values on educational outcomes using…

Descriptors: Self Concept, Structural Equation Models, Values, Expectation

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