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Visit December 5 - 19, 2006
Contemporary Issues in the use of computer technology
to improve mathematics teaching and learning
Pictures from our visit.
Pictures fron Tainan University Visit
Taking Some Mystery Out of the Nine Point Circle with GSP
This paper examines the nine point circle as the common circumcircle of three special triangles of any given triangle -- the triangle formed by the midpoints of the segments from the orthocenter to the vertices, the medial triangle, and the orthic triangle.
RESA August 23 Presentation
SMSG: A personal perspective
Mathematics Education Web Course Development on a Shoestring
Middle School Mathematics and Technology -- Project InterMath
MATHEMATICS PROBLEM SOLVING USING GEOMETER'S SKETCHPAD and GRAPHING TECHNOLOGY
Technology in Secondary School Mathematics. A presentation for the Department of Mathematics, University of Kansas, December 7, 2000.
An Elementary Application of Similar Triangles. This note derives from a comment in Workbench on how a logger estimates the height of a tree.
Prospective Elementary Teachers' Conceptions of Rational Numbers. A paper by Dina Tirosh and Efraim Fischbein, Tel Aviv University, Anna O. Graeber, University of Maryland, and James W. Wilson, University of Georgia, from a project supported by the US-Israel BSF.
The Teaching Module on Rational Numbers for Prospective Elementary Teachers. A Teaching module by Dina Tirosh and Efraim Fischbein, Tel Aviv University, Anna O. Graeber, University of Maryland, and James W. Wilson, University of Georgia, from a project supported by the US-Israel BSF.
Implementing Mathematics Reform: The Challenges Within. A paper by Azita Manouchehri of Maryville University and Terry Goodman of Northwest Missouri State University.
Technology in Mathematics Teaching and Learning. Paper by J. Wilson, University of Georgia. This draft reflects some of the considerations I have implemented in the courses tied to this web site.
Technology Experiences for Prospective Secondary Teachers, a paper in progress by Azita Manouchehri, Maryville University.
Problem-Solving Using Graphing Calculators, a paper in progress by June Jones, University of Georgia. This study reports on the problem solving performance of 56 college freshman in a college algebra course.
Toward a Theory of Teaching-In-Context, a paper by Alan H. Schoenfeld, University of California at Berkeley. The Mathematics Education Student Association invited Dr. Schoenfeld to visit the University of Georgia on May 14 and May15, 1997. Preliminary versions of this paper and supporting documents were read in preparation for his visit.
Envelopes of Lines and Circles. This paper was constructed for a presentation/demonstration to Elbert County High School Mu Alpha Theta club. The paper examines the curves formed by sets of lines or circles that move along some defined paths.
Trisecting the Area of a Triangle. This is an investigation of the constructions required to divide the area of a triangle into three regions of equal area, under different initial conditions.
Squares. What is the ratio of areas of the two squares?This is a discussion of some exploration and extensions of this problem.
Capturing Area and a Solution. This paper by Pagnucco and Hirstein also explores the Squares problem with a somewhat different route.
Curve Building. When two relations are multiplied, points (x,y) on either will appear on the product graph. Characteristics of the graph are described to tell whether a relation is factorable.
Roots 2 and 5. This paper examines familes of curves that pass through 2 and 5 on the x-axis.
Orthotravels. What is the locus of the orthocenter when one side of a triangle is fixed and the third vertex is moved along some path?
Tangents Problem. Find two linear functions f(x) and g(x) such that the product h(x) = f(x).g(x) is tangent to each of the original lines.
Explorations with Heron's Formula. Heron's formula for finding the area of a triangle given the lengths of its three sides is a nice tool for problem solving explorations.
Exploration of a Triangle Ratios Problem. Given a triangle ABC and an interior point M. Extend a segment from each vertex through M to its intersecion with the opposite side creating segments AD, BE, and CF. The exploration will evaluate some ratios of segments within the triangle.
Multiple-Application Medium for the Study of Polygonal Numbers
This article is an expanded version of the paper presented at the 1994 International Symposium on Mathematics/Science Education and Technology, San Diego, CA, and published as: Abramovich, S., Fujii, T., & Wilson, J. (1994). Exploring and Visualizing Properties of Polygonal Numbers in a Multiple-Application Computer-Enhanced Environment. In G.H. Marks (Ed.), Proceedings of the 1994 International Symposium on Mathematics/Science Education and Technology. Charlottesville, VA: AACE.Witch of Agnesi. This is an essay by two students in my 1995 EMT669 class.
Some Comments on the GLaD construction.
The SaRD Construction: An Elegant Solution for Euclid's Partitioning Problem by SriRanga S. Dattatreya (with help from Ravi E. Dattatreya).
An Interesting Ratio Result for Triangles. This paper by SriRanga S. Dattratreya and Ravi E. Dattratreya shows a construction and general ratio result for triangles that can be used to segment a line segment into parts.
Some Explorations with Lemniscates. This paper suggests some investigations with the Lemniscate of Bernoulli and the Lemniscate of Gerone.
Discussion of an Equal Segments Problem. Given thre points A, B, and C. Construct a line intersecting AC in the point X and BC in the point Y sucht that AX = XY = YB. The problem is from Polya's Mathematical Discovery, Vol. 1, pp7-8.
See also many of the papers, course materials, and problems throughtout the Site.
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