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Arribas, E.; Escobar, I.; Ramirez-Vazquez, R. – International Journal of Mathematical Education in Science and Technology, 2021
In the article 'How Long Is My Toilet Roll--A Simple Exercise in Mathematical Modelling' several models of increasing complexity are introduced and solved to calculate indirectly the length of paper on a toilet-roll. All these results are presented without errors. The authors of this comment believe the error analysis of measurements made in a…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Computation
Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2019
Recently, Robin claimed to introduce clever innovations ('wrinkles') into the mathematics education literature concerning the solutions, and methods of solution, to differential equations. In particular, Robin formulated an iterative scheme in the form of a single integral representation. These ideas were applied to a range of examples involving…
Descriptors: Problem Solving, Equations (Mathematics), Mathematics Education, Mathematics Instruction
Mofolo-Mbokane, Batseba; Engelbrecht, Johann; Harding, Ansie – International Journal of Mathematical Education in Science and Technology, 2013
The study aims to identify areas of difficulty in learning about volumes of solids of revolution (VSOR) at a Further Education and Training college in South Africa. Students' competency is evaluated along five skill factors which refer to knowledge skills required to succeed in performing tasks relating to applications of the definite integral, in…
Descriptors: Foreign Countries, Geometry, Difficulty Level, Graphs
Dana-Picard, Thierry; Zeitoun, David G. – International Journal of Mathematical Education in Science and Technology, 2012
We present a sequence of improper integrals, for which a closed formula can be computed using Wallis formula and a non-straightforward recurrence formula. This yields a new integral presentation for Catalan numbers.
Descriptors: Mathematical Formulas, Numbers, Mathematics Instruction, Teaching Methods
Deakin, Michael A. B. – International Journal of Mathematical Education in Science and Technology, 2010
Many familiar household objects (such as sausages) involve the maximization of a volume under geometric constraints. A flexible but inextensible membrane bounds a volume which is to be filled to capacity. In the case of the sausage, a full analytic solution is here provided. Other related but more difficult problems seem to demand approximate…
Descriptors: Geometric Concepts, Calculus, Mathematics Instruction, Problem Solving
Robin, W. A. – International Journal of Mathematical Education in Science and Technology, 2010
Many classes of differential equations are shown to be open to solution through a method involving a combination of a direct integration approach with suitably modified Picard iterative procedures. The classes of differential equations considered include typical initial value, boundary value and eigenvalue problems arising in physics and…
Descriptors: Equations (Mathematics), Computation, Teaching Methods, Problem Solving
Hodnett, P. F.; Courtney, C. – International Journal of Mathematical Education in Science and Technology, 2007
This paper uses a partial differential equation which occurs in a reduced model of large scale circulation in an ocean basin as an educational vehicle through which to demonstrate the usefulness of a set of mathematical techniques in analysing the equation. A parameter occurring in the equation does in reality vary from very small through…
Descriptors: Measurement, Climate, Oceanography, Equations (Mathematics)
Sangwin, Christopher J. – International Journal of Mathematical Education in Science and Technology, 2007
This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…
Descriptors: Arithmetic, Algebra, Computer Assisted Testing, Mathematics Instruction
Schley, D.; Shail, R.; Gourley, S. A. – International Journal of Mathematical Education in Science and Technology, 2002
Time delays are an important aspect of mathematical modelling, but often result in highly complicated equations which are difficult to treat analytically. In this paper it is shown how careful application of certain undergraduate tools such as the Method of Steps and the Principle of the Argument can yield significant results. Certain delay…
Descriptors: Teaching Methods, Equations (Mathematics), Calculus, Mathematical Models