This book is the testimony of a physical scientist whose language is singular perturbation analysis. Classical mathematical notions, such as matched asymptotic expansions, projections of large dynamical systems onto small center manifolds, and modulation theory of oscillations b…
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Although APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single reference that contains all the relevant information about its components, and provides guidance about its application. The…
In recent years, funding agencies like the Institute of Educational Sciences and the National Science Foundation have increasingly emphasized large-scale studies with experimental and quasi-experimental designs looking for 'objective truths'. Educational researchers have recentl…