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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
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
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
Santos-Trigo, Manuel; Reyes-Rodriguez, Aaron – International Journal of Mathematical Education in Science and Technology, 2011
To what extent does the use of computational tools offer teachers the possibility of constructing dynamic models to identify and explore diverse mathematical relations? What ways of reasoning or thinking about the problems emerge during the model construction process that involves the use of the tools? These research questions guided the…
Descriptors: Mathematical Models, Secondary School Teachers, Computation, Teaching Methods
Shi, Yixun – International Journal of Mathematical Education in Science and Technology, 2009
Based on a sequence of points and a particular linear transformation generalized from this sequence, two recent papers (E. Mauch and Y. Shi, "Using a sequence of number pairs as an example in teaching mathematics". Math. Comput. Educ., 39 (2005), pp. 198-205; Y. Shi, "Case study projects for college mathematics courses based on a particular…
Descriptors: College Mathematics, Student Interests, Algebra, Mathematics Instruction
Verner, I. M.; Aroshas, S.; Berman, A. – International Journal of Mathematical Education in Science and Technology, 2008
This article presents a study in which applications were integrated in the Multivariable Calculus course at the Technion in the framework of supplementary tutorials. The purpose of the study was to test the opportunity of extending the conventional curriculum by optional applied problem-solving activities and get initial evidence on the possible…
Descriptors: Student Attitudes, Calculus, Tutoring, Computer Assisted Instruction
Bringslid, Odd; Norstein, Anne – International Journal of Mathematical Education in Science and Technology, 2008
This article evaluates online mathematical content used for teaching mathematics in engineering classes and in distance education for teacher training students. In the EU projects Xmath and dMath online computer algebra modules (Steplets) for undergraduate students assembled in the Xmath eBook have been designed. Two questionnaires, a compulsory…
Descriptors: Undergraduate Students, Student Projects, Distance Education, Programming Languages
Ramasinghe, W. – International Journal of Mathematical Education in Science and Technology, 2002
Simple examples are really encouraging in the understanding of rearrangements of infinite series, since many texts and teachers provide only existence theorems. In the absence of examples, an existence theorem is just a statement and lends little confidence to understanding. Iterated sums of double series seem to have a similar spirit of…
Descriptors: Teaching Methods, Mathematics Instruction, Learning Processes, Mathematical Concepts
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
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