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Ponce Campuzano, Juan Carlos; Matthews, Kelly E.; Adams, Peter – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year…

Descriptors: Mathematics, History, College Freshmen, College Science

Jensen, Jens Højgaard; Niss, Martin; Jankvist, Uffe Thomas – International Journal of Mathematical Education in Science and Technology, 2017

The article addresses the problématique of where mathematization is taught in the educational system, and who teaches it. Mathematization is usually not a part of mathematics programs at the upper secondary level, but we argue that physics teaching has something to offer in this respect, if it focuses on solving so-called unformalized problems,…

Descriptors: Problem Solving, Mathematics, Physics, Foreign Countries

van der Hoff, Quay – International Journal of Mathematical Education in Science and Technology, 2017

The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in…

Descriptors: Biology, Mathematics Instruction, Technology Education, Interdisciplinary Approach

Tisdell, C. C. – International Journal of Mathematical Education in Science and Technology, 2017

Solution methods to exact differential equations via integrating factors have a rich history dating back to Euler (1740) and the ideas enjoy applications to thermodynamics and electromagnetism. Recently, Azevedo and Valentino presented an analysis of the generalized Bernoulli equation, constructing a general solution by linearizing the problem…

Descriptors: Calculus, Mathematics Instruction, Mathematical Models, Biology

Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R. – International Journal of Mathematical Education in Science and Technology, 2017

Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…

Descriptors: Learner Engagement, Mathematics Anxiety, Mathematics Instruction, Interdisciplinary Approach

Ríordáin, Máire Ní; Johnston, Jennifer; Walshe, Gráinne – International Journal of Mathematical Education in Science and Technology, 2016

The integration of mathematics and science teaching and learning facilitates student learning, engagement, motivation, problem-solving, criticality and real-life application. However, the actual implementation of an integrative approach to the teaching and learning of both subjects at classroom level, with in-service teachers working…

Descriptors: Mathematics Instruction, Science Instruction, Interdisciplinary Approach, Case Studies

Ngu, Bing Hiong; Yeung, Alexander Seeshing; Phan, Huy P. – International Journal of Mathematical Education in Science and Technology, 2015

An experiment using a sample of 11th graders compared text editing and worked examples approaches in learning to solve dilution and molarity algebra word problems in a chemistry context. Text editing requires students to assess the structure of a word problem by specifying whether the problem text contains sufficient, missing, or irrelevant…

Descriptors: Grade 11, Algebra, Chemistry, Problem Solving

Jukic Matic, Ljerka; Dahl, Bettina – International Journal of Mathematical Education in Science and Technology, 2014

This paper reports a study on retention of differential and integral calculus concepts of a second-year student of physical chemistry at a Danish university. The focus was on what knowledge the student retained 14 months after the course and on what effect beliefs about mathematics had on the retention. We argue that if a student can quickly…

Descriptors: Calculus, Mathematical Concepts, College Students, Concept Formation

Groetsch, C. W. – International Journal of Mathematical Education in Science and Technology, 2012

An aspect of Galileo's classical trajectory that persists in a simple resistance model is noted. The resistive model provides a case study for the classroom analysis of limiting behaviour of an implicitly defined function. (Contains 1 note.)

Descriptors: Science Instruction, Teaching Methods, Models, Case Studies

Bae, Saebyok; Kang, Byungmin – International Journal of Mathematical Education in Science and Technology, 2012

We want to apply the geometrical method to a dynamical system of human blood glucose. Due to the educational importance of model building, we show a relatively general modelling process using observational facts. Next, two models of some concrete forms are analysed in the phase plane by means of linear stability, phase portrait and vector…

Descriptors: Mathematical Models, Metabolism, Science Instruction, Geometric Concepts

Fay, Temple H. – International Journal of Mathematical Education in Science and Technology, 2012

Quadratic friction involves a discontinuous damping term in equations of motion in order that the frictional force always opposes the direction of the motion. Perhaps for this reason this topic is usually omitted from beginning texts in differential equations and physics. However, quadratic damping is more realistic than viscous damping in many…

Descriptors: Equations (Mathematics), Motion, Science Instruction, Physics

Klymchuk, Sergiy; Kachapova, Farida – International Journal of Mathematical Education in Science and Technology, 2012

This article is devoted to practical aspects of teaching and learning of probability at university. It presents the difficulties and attitudes of first-year university science and engineering students towards using paradoxes and counterexamples as a pedagogical strategy in teaching and learning of probability. It also presents a student's point of…

Descriptors: Probability, Higher Education, Science Education, Science Instruction

Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2011

We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data. We estimate the parameters present in several differential equation models of chemical reactions of order n, where n = 0, 1, 2, and apply more general…

Descriptors: Kinetics, Chemistry, Calculus, Equations (Mathematics)

Web-Based Tools for Modelling and Analysis of Multivariate Data: California Ozone Pollution Activity

Dinov, Ivo D.; Christou, Nicolas – International Journal of Mathematical Education in Science and Technology, 2011

This article presents a hands-on web-based activity motivated by the relation between human health and ozone pollution in California. This case study is based on multivariate data collected monthly at 20 locations in California between 1980 and 2006. Several strategies and tools for data interrogation and exploratory data analysis, model fitting…

Descriptors: Conservation (Environment), Charts, Statistical Inference, Pollution

Chudinov, Peter Sergey – International Journal of Mathematical Education in Science and Technology, 2010

The classic problem of the motion of a point mass (projectile) thrown at an angle to the horizon is reviewed. The air drag force is taken into account with the drag factor assumed to be constant. An analytical approach is used for the investigation. An approximate formula is obtained for one of the characteristics of the motion--the vertical…

Descriptors: Motion, Science Instruction, Mathematical Formulas, Equations (Mathematics)