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Mixed-Methods Design in Biology Education Research: Approach and Uses
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Warfa, Abdi-Rizak M. – CBE - Life Sciences Education, 2016
Educational research often requires mixing different research methodologies to strengthen findings, better contextualize or explain results, or minimize the weaknesses of a single method. This article provides practical guidelines on how to conduct such research in biology education, with a focus on mixed-methods research (MMR) that uses both…
Descriptors: Mixed Methods Research, Research Methodology, Biology, Science Education
Identities for the Fibonacci Powers
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Chen, Alex; Chen, Hongwei – International Journal of Mathematical Education in Science and Technology, 2008
Based on the generating functions, for any positive integers "n" and "k", identities are established and the explicit formula for a[subscript i](k) in terms of Fibonomial coefficients are presented. The corresponding results are extended to some other famous sequences including Lucas and Pell sequences.
Descriptors: Sequential Approach, Mathematics Instruction, Mathematical Formulas, Validity
Monotonicity and Logarithmic Concavity of Two Functions Involving Exponential Function
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Liu, Ai-Qi; Li, Guo-Fu; Guo, Bai-Ni; Qi, Feng – International Journal of Mathematical Education in Science and Technology, 2008
The function 1 divided by "x"[superscript 2] minus "e"[superscript"-x"] divided by (1 minus "e"[superscript"-x"])[superscript 2] for "x" greater than 0 is proved to be strictly decreasing. As an application of this monotonicity, the logarithmic concavity of the function "t" divided by "e"[superscript "at"] minus "e"[superscript"(a-1)""t"] for "a"…
Descriptors: Mathematics Instruction, Equations (Mathematics), Computation, Mathematical Formulas