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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
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
Kovacs, Zoltan – International Journal of Mathematical Education in Science and Technology, 2011
Student activities focused on discovering mathematics play an important role in the teaching and learning process. WebMathematics Interactive (WMI2) was developed to offer a fast and user-friendly on-line web interface to enhance the quality of both theoretical and applied mathematics courses. For the teacher, in the classroom, it provides…
Descriptors: Mathematical Concepts, Mathematics Instruction, Teaching Methods, Algebra
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
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