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Seaton, Katherine A. – International Journal of Mathematical Education in Science and Technology, 2019

To date, the way that academic misconduct is manifested in undergraduate mathematics coursework has been unexamined in the literature, with the consequence that policy and preventive education can fail to address it appropriately. This paper describes the particular features of the responses expected in mathematical tasks and provides concrete…

Descriptors: Integrity, Cheating, Plagiarism, Foreign Countries

Jones, Stephen L. – International Journal of Mathematical Education in Science and Technology, 2017

Dr RL Moore was undoubtedly one of the finest mathematics teachers ever. He developed a unique teaching method designed to teach his students to think like mathematicians. His method was not designed to convey any particular mathematical knowledge. Instead, it was designed to teach his students to think. Today, his method has been modified to…

Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Teachers, Teaching Methods

Caglayan, Gunhan – International Journal of Mathematical Education in Science and Technology, 2016

The purpose of this article is to offer teaching ideas in the treatment of the definite integral concept and the Riemann sums in a technology-supported environment. Specifically, the article offers teaching ideas and activities for classroom for the numerical methods of approximating a definite integral via left- and right-hand Riemann sums, along…

Descriptors: Teaching Methods, Technology Integration, Mathematics, Mathematics Education

Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2013

A direct method is given for solving first-order linear recurrences with constant coefficients. The limiting value of that solution is studied as "n to infinity." This classroom note could serve as enrichment material for the typical introductory course on discrete mathematics that follows a calculus course.

Descriptors: Mathematics, Mathematical Formulas, Introductory Courses, Mathematics Instruction

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

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2011

This article deals with a short history of mathematics and mathematical scientists during the ancient and medieval periods. Included are some major developments of the ancient, Indian, Arabic, Egyptian, Greek and medieval mathematics and their significant impact on the Renaissance mathematics. Special attention is given to many results, theorems,…

Descriptors: Mathematics, History, Medieval History, Number Concepts

Robinson, G.; Towers, I. N.; Jovanoski, Z. – International Journal of Mathematical Education in Science and Technology, 2009

We introduce a model of radiative transfer in circumstellar dust shells. By assuming that the shell is both isothermal and its thickness is small compared to its radius, the model is simple enough for students to grasp and yet still provides a quantitative description of the relevant physical features. The isothermal model can be used in a…

Descriptors: Models, Mathematics, Computation, Science Instruction

Spindler, K. – International Journal of Mathematical Education in Science and Technology, 2007

This paper introduces a concept of differentiability for functions in several variables which has a very natural definition and shares all the properties one expects of a notion of differentiability, but is shown to be weaker than the usual concept of differentiability defined as local linearizability. The exact connection between the two…

Descriptors: Calculus, Concept Mapping, Definitions, College Mathematics

Gutierrez, Rosa Maria Afonso; Diaz, Jose Angel Dorta – International Journal of Mathematical Education in Science and Technology, 2002

The continuous technological progress of the past few decades affords a different orientation to the teaching-learning process, which is useful and advantageous when mathematical concepts are transmitted. This article pursues two different aims. The first one is to examine the present state of the traditional process in relation to the concepts of…

Descriptors: Computer Software, Mathematical Concepts, Mathematics Education, Higher Education

Abramovich, Sergei; Strock, Tracy – International Journal of Mathematical Education in Science and Technology, 2002

The paper describes the use of a spreadsheet in a mathematics teacher education course. It shows how the tool can serve as a link between seemingly disconnected mathematical concepts. The didactical triad of using a spreadsheet as an agent, consumer, and amplifier of mathematical activities allows for an extended investigation of simple yet…

Descriptors: Preservice Teacher Education, Education Courses, Mathematical Concepts, Mathematics Instruction

Ward, P.; Sprevak, D.; Boreham, C. – International Journal of Mathematical Education in Science and Technology, 2002

This note, which is based on a final year project for a BSC degree, presents an investigation on the Olympic decathlon. It shows that the existing non-linear transformation which is used to assign points to athletes' performance gives practically identical results to that of a simpler linear one. In addition, the paper presents evidence to support…

Descriptors: Athletics, Athletes, Measurement Techniques, Scoring