| Personal Information
Athens, OH 45701
During Winter and Spring quarter, 2005, I will be teaching an introductory analysis course for ACCLAIM via distance learning on Tuesday nights.. Please contact me if you wish to make an appointment. Although I will be in most days most of the time, I have not set office hours just yet.
I primarily teach courses in Analysis, including Introduction to Statistics, Calculus, Advanced Calculus, Foundations of Geometry, Real Variables, Wavelet Analysis and Functional Analysis. I have spent quite a bit of time revising the Foundations of Geometry course and helped develop a calculus course for biology majors. I have also done course development (and taught) for project SUSTAIN, a program designed to enhance the mathematical understanding and teaching of practicing secondary teachers.
Information on the Foundations of Geometry course is available upon request. I have a web site which contains the course materials from a 'beta' version of the course. The course seems to be under perpetual construction; I will be updating the materials for the second course in the sequence during Spring, 2004. Currently available course materials.
Winner of a Provost's Teaching Recognition Grant (1995), a Dean's Outstanding Teaching Award (2000) and currently a Project NExT consultant (1999-2000).
My most recent mathematical work is on the use of wavelets in the analysis of time series, especially the determination of whether or not a time series exhibits 'long memory'. In the past, most of my work was in sequence spaces. The main focus of my interest in sequence spaces is in the area of 'statistical convergence', which has nothing to do with statistics. Rather, a sequence is statistically convergent to zero if, for every epsilon greater than zero, the set of of indices for which the terms of the sequence are greater than epsilon is a 'null set'. The best view of bounded statistically convergent sequences comes from considering them as a class of continuous functions on the Stone-Cech compactification of the natural numbers. I have recently become interested in the statistical convergence of double sequences.
I have also been working in mathematics education. The focus of my research is currently student use of definitions in validating mathematical assertions, especially in connection with the use of software programs (such as Geometer's Sketchpad) to explore and justify mathematical assertions. I am also a co-PI for the Southeast Center of Excellence in Mathematics and Science Education (SEOCEMS).
See 'Current Vita ' for a recent version of my vita. (April, 2004)
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