Search results for author:"Ilias_Kachapov"
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Percentage Problems in Bridging Courses
Farida Kachapova; Ilias Kachapov
International Journal of Mathematical Education in Science and Technology Vol. 43, No. 5 (2012) pp. 654–663
Research on teaching high school mathematics shows that the topic of percentages often causes learning difficulties. This article describes a method of teaching percentages that the authors used in university bridging courses. In this method, the...
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Applying Change of Variable to Calculus Problems
Farida Kachapova; Ilias Kachapov
International Journal of Mathematical Education in Science and Technology Vol. 42, No. 3 (April 2011) pp. 388–396
This article describes the technique of introducing a new variable in some calculus problems to help students master the skills of integration and evaluation of limits. This technique is algorithmic and easy to apply.
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Measuring Monotony in Two-Dimensional Samples
Farida Kachapova; Ilias Kachapov
International Journal of Mathematical Education in Science and Technology Vol. 41, No. 3 (2010) pp. 418–427
This note introduces a monotony coefficient as a new measure of the monotone dependence in a two-dimensional sample. Some properties of this measure are derived. In particular, it is shown that the absolute value of the monotony coefficient for a...
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Students' Misconceptions about Random Variables
Farida Kachapova; Ilias Kachapov
International Journal of Mathematical Education in Science and Technology Vol. 43, No. 7 (2012) pp. 963–971
This article describes some misconceptions about random variables and related counter-examples, and makes suggestions about teaching initial topics on random variables in general form instead of doing it separately for discrete and continuous cases. ...