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McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2021
An elementary method to calculate the area, centroid and volume of rotation of the Koch curve is presented. Classroom extensions are provided to allow students to investigate the method used.
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Computation
Lemonidis, Charalampos; Likidis, Nikos – International Journal of Mathematical Education in Science and Technology, 2021
In this study, we propose an integrated hierarchical model of computational estimation strategies (IHMCES), which can be used to organize a set of computational estimation strategies, used by a group of individuals, in strategy ranges. IHMCES can be used for the description of the repertoire, profile and flexibility of individuals regarding the…
Descriptors: Mathematics Instruction, Teaching Methods, Grade 5, Elementary School Students
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
Kaufmann, Odd Tore; Stenseth, Børre – International Journal of Mathematical Education in Science and Technology, 2021
This article attempts to identify the kind of arguments that lower secondary school-level pupils use when they apply programming to solve a mathematical problem. By analyzing the data from one group of three pupils working together with Processing (Processing is a Java based tool primarily to learn programme visual effects supported and…
Descriptors: Programming, Teaching Methods, Secondary School Mathematics, Persuasive Discourse
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
Sigler, Avi; Stupel, Moshe; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017
Students use GeoGebra to explore the mathematical relations among different radii of circles in a triangle (circumcircle, incircle, excircles) and the sides and other segments in the triangle. The more formal mathematical development of the relations that follows the explorations is based on known geometrical properties, different formulas…
Descriptors: Mathematics Instruction, Computer Software, Educational Technology, Geometric Concepts
McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2017
A number of probabilistic experiments are described to estimate e, p and v2, with results from computer simulations being used to investigate convergence. A number of possible classroom exercises and extensions are presented.
Descriptors: Probability, Mathematics Instruction, Computer Simulation, Teaching Methods
Novak, Julia; Kensington-Miller, Barbara; Evans, Tanya – International Journal of Mathematical Education in Science and Technology, 2017
This paper describes students' perspectives of a one-off flipped lecture in a large undergraduate mathematics service course. The focus was on calculating matrix determinants and was designed specifically to introduce debate and argumentation into a mathematics lecture. The intention was to promote a deeper learning and understanding through…
Descriptors: Undergraduate Study, College Mathematics, Mathematics Instruction, Computation
Vorob'ev, Evgenii M. – International Journal of Mathematical Education in Science and Technology, 2015
Computer technologies and especially computer algebra systems (CAS) allow students to overcome some of the difficulties they encounter in the study of real numbers. The teaching of calculus can be considerably more effective with the use of CAS provided the didactics of the discipline makes it possible to reveal the full computational potential of…
Descriptors: Educational Technology, Computer Uses in Education, Algebra, Calculus
Altiparmak, Kemal – International Journal of Mathematical Education in Science and Technology, 2014
In mathematic courses, construction of some concepts by the students in a meaningful way may be complicated. In such circumstances, to embody the concepts application of the required technologies may reinforce learning process. Onset of learning process over daily life events of the student's environment may lure their attention and may…
Descriptors: Animation, Cognitive Processes, Mathematics Instruction, Experimental Groups
Sokolowski, Andrzej – International Journal of Mathematical Education in Science and Technology, 2014
Research has shown that students have difficulties with understanding the process of determining whether an object is speeding up or slowing down, especially when it is applied to the analysis of motion in the negative direction. As inductively organized learning through its scaffolding sequencing supports the process of knowledge acquisition…
Descriptors: Mathematics Instruction, Calculus, Motion, Inquiry
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
Fedriani, Eugenio M.; Moyano, Rafael – International Journal of Mathematical Education in Science and Technology, 2012
Finding educational truths is an inherently multivariate problem. There are many factors affecting each student and their performances. Because of this, both measuring of skills and assessing students are always complex processes. This is a well-known problem, and a number of solutions have been proposed by specialists. One of its ramifications is…
Descriptors: Mathematics Skills, Mathematics Instruction, Teaching Methods, Computer Software
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
Kobayashi, Yukio – International Journal of Mathematical Education in Science and Technology, 2011
The formula [image omitted] is closely related to combinatorics through an elementary geometric exercise. This approach can be expanded to the formulas [image omitted], [image omitted] and [image omitted]. These formulas are also nice examples of showing two approaches, one algebraic and one combinatoric, to a problem of counting. (Contains 6…
Descriptors: Mathematical Formulas, Geometry, Computation, Teaching Methods
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