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Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2012
In this article, we present an integer sequence approach to solve the classic water jugs problem. The solution steps can be obtained easily by additions and subtractions only, which is suitable for manual calculation or programming by computer. This approach can be introduced to secondary and undergraduate students, and also to teachers and…
Descriptors: Undergraduate Students, Number Concepts, Problem Solving, Mathematics Instruction
Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2009
In this note, we present an improved Heaviside approach to compute the partial fraction expansions of proper rational functions. This method uses synthetic divisions to determine the unknown partial fraction coefficients successively, without the need to use differentiation or to solve a system of linear equations. Examples of its applications in…
Descriptors: Equations (Mathematics), Computation, Secondary School Mathematics, College Mathematics