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Mathematics Education

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WELCOME TO
JIM WILSON'S HOME PAGE/SERVER!

> Home Files

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> My e-mail is jwilson@uga.edu. - - - - - - - Last modified June 27, 2018

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> Courses I taught
> 
> Papers 
> 
>   A few GSP Lessons

> Links 

> Personal Information and Interests

>  

> Mathematics Education Program Page 
> 
> Class Rolls 

Intermath Project Web Site   Interactive Dictionary for Middle School Level  
CONTEXTUAL TEACHING AND LEARNING -- EMAT   CPTM           

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> HOOTEN AWARD 2017
> 
> 
> NCTM BOSTON
> 
> Situations Project   (password required)
> 
> 
> LET US TEACH GUESSING -- 60 MINUTE VIDEO OF GEORGE POLYA

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> > USING THE ARITHMETIC MEAN-GEOMETRIC MEAN INEQUALITY IN PROBLEM SOLVING 
> > 
> > > The Arithmetic Mean-Geometric Mean (AM-GM) inequality is a very useful
> > > algebraic tool for reasoning about many maximization and minization
> > > problems without calculus.   Yet, this tool gets very little attention in
> > > modern mathematics curriculum.   I have presented basic information and
> > > definitions about the Arithmetic Mean-Geometric Mean Inequality, showed a
> > > range of proofs and demonstrations for the cases with 2 positive numbers
> > > and a range of problem solving episodes where the AM-GM inequality is
> > > used.
> > > 
> > > > A presentation for the Annual Meeting of the School Science and
> > > > Mathematics Association, Birmingham, November 8-10, 2012, was prepared
> > > > using parts of this paper.

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> COURSES I TAUGHT PRIOR TO MAY 2016, J. WILSON, INSTRUCTOR (LAST TIME TAUGHT
> INDICATED).
> 
> > EMAT 4600/6600 - EMAT 4600/6600 Problem Solving in Mathematics (2015)
> > EMAT 4680/6680 - Technology and Secondary School Mathematics (2016)
> > EMAT 4650/6450 - Mathematics in Context (2013)
> > EMAT 7050 - Mathematics Instruction (2014)  
> > EMAT 6690 - Technology Enhanced Instruction in School Mathematics (2014)
> > EMAT 4500/6500 - Connections in Secondary Mathematics (2014)
> > EMAT 4000/6000 - Special Problem in Mathematics Education (2014)
> > EMAT 8990 - Doctoral Seminars in Mathematics Education (2009)
> > MATH 7200 - Foundations of Geometry I (2010)
> > MATH 7210 - Foundations of Geometry II (2010)
> > EMAT 6700 - Advanced Explorations with Technology in Mathematics Instruction
> > (2009)

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> NCTM Lifetime Achievement Award, 2001

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> RESEARCH COUNCIL ON MATHEMATICS LEARNING -- 2009 KEYNOTE
> 
> 
> 2008 NCTM ILLUMINATIONS INSTITUTE
> 
> 2009 STEM Academy Presentation

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> PAPERS.
> 
> 
> > TAXI CAB GEOMETRY INVESTIGATIONS WITH TECHNOLOGY
> > 
> > > This is a set of materials exploring the use of technology to visualize
> > > and understand the geometric consequences of using a TCdistance metric.
> > > Geometric constructions of the TCcircle, TCellipse, TChyperbola,
> > > TCparabola, TClines, and TC distance are included.
> > 
> > 
> > COMMENT ON TRIANGLE CENTER INVESTIGATIONS.
> > 
> > 
> > THE FIBONACCI SEQUENCE AND THE GOLDEN RATIO IN STOCK MARKET THEORIES
> > 
> > > This technical analysis introduces the use of the Fibonacci Sequence and
> > > the Golden Ratio in Elliott Wave Theory. Elliott Wave Theory is a useful
> > > technique for trading Forex -- foreign exchange.
> > 
> > 
> > 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
> > 
> > MULTIPLE SOLUTIONS
> > 
> > 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.
> >  

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> > 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.
> > 
> > Alternative Approach to Tangents Problem
> > 
> > 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 three points A, B, and C.
> > Construct a line intersecting AC in the point X and BC in the point Y such
> > that AX = XY = YB. The problem is from Polya's Mathematical Discovery, Vol.
> > 1, pp. 7-8.

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> GEOMETER'S SKETCHPAD MATERIAL
> 
> > GSP Lessons.
> > 
> > Jim's GSP Library
> > 
> > See also many of the papers, course materials, and problems throughtout the
> > Site.

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> LINKS
> 
> > Some Mathematics Links.
> > Other Mathematics Resources
> > Megan Davenport's Mathematics and Mathematics Teaching Resources
> >  
> 
> 
>  LOCAL LINKS
> 
> > Mathematics Education Program Page 
> > University of Georgia Home Page
> > UGa College of Education Home Page
> > LPSL Home Page
> > Graduate School

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> PERSONAL INFORMATION
> 
> 
> > POST TENURE REVIEW
> > 
> > 
> > BACK
> > 
> > 
> > APPLICATION FOR REAPPOINTMENT TO GRADUATE FACULTY
> > 
> > My Brief Resume.
> > For Very Short Resume click here.
> > For the longer, more boring, version click here.
> > First Version, NSF Proposal Format Biographical Sketch
> > Second version, NSF Proposal Format Biographical Sketch.
> > Third Version, NSF Proposal Format Biographical Sketch 2015
> > Professional Bio I
> > Professional Bio II
> > Professional Bio III
> > Professional Bio IV
> > My current and former doctoral students

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> > Hooten Award 2015

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> > St. Louis NCTM Meeting, October 26-29, 2011
> > 
> > > Problems my Students and I have found Challenging

> >  

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> The Brain on Music -- A Roundtable Discussion
> 
> > On Wednesday, November 17, at 4 p.m. in 148 Miller Learning Center, the
> > Willson Center sponsored a roundtable discussion on “The Brain on Music.”
> > The lecture and discussion focused on the relationship of early music
> > training to intellectual achievement in other areas. Roy Martin (Professor
> > Emeritus of Educational Psychology and a violinist) gave the opening
> > lecture. Panelists for the roundtable discussion included Jean
> > Martin-Williams (Hugh Hodgson School of Music), Jed Rasula (English) and
> > James W. Wilson (Mathematics Education). Martha Thomas (Hugh Hodgson School
> > of Music) moderated the discussion. Following the Panel discussion,
> > questions and comments were contributed by the audience.
> > 
> > Professor Martin's paper is provided here since many people who could not
> > attend the discussion have expressed interest in the paper.

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> Workshop on Mathematics Problem Solving
> 
> > Mastery Project, Mathematics and Science Teacher Education in Yemen
> > 
> > May 16-21 2009

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> NATIONAL PINGTUNG UNIVERSITY OF EDUCATION
> 
> 
> > VISIT DECEMBER 5 - 19, 2006
> > 
> > 
> > > CONTEMPORARY ISSUES IN THE USE OF COMPUTER TECHNOLOGY TO IMPROVE
> > > MATHEMATICS TEACHING AND LEARNING
> > 
> > 
> > PICTURES FROM OUR VISIT.
> > 
> > > Taiwan Welcome
> > > 
> > > Taiwan Visit Part 1
> > > 
> > > Taiwan Visit, Part 2
> > > 
> > > Taiwan, Pictures from class
> > > 
> > > Pictures from Talk
> > > 
> > > Pictures fron Tainan University Visit
> > > 
> > > Taiwan Farewell Party

>  

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> Disclaimer
> 
> > The content and opinions expressed on this Web page do not necessarily
> > reflect the views or nor they endorsed by the University of Georgia or the
> > University System of Georgia.

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