The Geometry Study Group on Geometry in the Curriculum is cooperatively organized by the Department of Mathematics and the Department of Mathematics and Science Education at the University of Georgia. Faculty, visiting faculty, and graduate students from both departments meet weekly to discuss curriculum issues related to geometry.
March 1, 2006
Sybilla Beckmann Kazez, University of Georgia
NCTM's Forthcoming Curriculum Focal Points for Grades PreK
 8
Abstract:
The National Council of Teachers of Mathematics
(NCTM) is preparing curriculum focal points for mathematics instruction
in grades PreK  8, to be released in April. Currently, state and
local districts have developed a wide variety of mathematics curricula,
with little consensus as to placement and emphasis of topics. As
a result, the general mathematics curriculum in the United States
has been described as ``a mile wide and an inch deep''. The curriculum
focal points are intended to serve as framework for a PreK  8 mathematics
curriculum and should inform the next versions of state mathematics
standards. We will examine and discuss draft versions of these curriculum
focal points.
February 22, 2006
Tom Banchoff, Brown University
InternetBased Visualization in Undergraduate Mathematics
Abstract:
Tom Banchoff will talk about his use of JAVA applets in teaching multivariable calculus at UGA and at Brown University. This software, which was developed by undergraduates at Brown, provides an interactive userfriendly
environment for the visualization of surfaces. Moreover, the software can be implemented in any internet browser.
February 8, 2006
Tom Banchoff, Brown University
Teaching 3Dimensional Geometry
Abstract: Tom Banchoff's talk will complement
Clint McCrory's talk (Feb. 1) on teaching 2dimensional geometry
with Geometer's Sketchpad. He will discuss some of the 3dimensional
geometry in the new Georgia Performance Standards. He will further
discuss the ideas presented in his MESA talk February 6 (new geometry
"toys" from Holland, slicing solids, etc.), and he will report on
the MATH 5210/7210 geometry class he and Clint are teaching this
semester.
February 1, 2006
Clint McCrory, University of Georgia
Teaching Geometry with Geometer's Sketchpad
Abstract:
I'll describe the geometry sequence (MATH 5200/7200  5210/7210)
I've developed over the last eight years. In particular I will discuss
the role of the software Geometer's Sketchpad (GSP) in these courses.
This tool can be used to enhance the classical theorem/proof approach
to geometry in exciting ways. In particular GSP provides a fresh
look at ruler and compass constructions, measurement, and dynamic
geometry. I will invite discussion by voicing strong opinions about
the right and wrong ways to use GSP.
January 25, 2006
Bradford Findell, University of Georgia
What and Where Are the Geometry Ideas in the Georgia Performance Standards?
Abstract:
In July 2004 and May 2005, the Georgia Board of Education approved
new standards for K12 mathematics in Georgia. The Georgia Performances
Standards (GPS) are being phased in over the next few years. The most
obvious change is that high school mathematics is now "integrated,"
in the sense that geometry and algebra appear in every course, along
with statistics and data analysis, rather than as separate courses.
These new expectations raise several important questions:
* What opportunities do these new standards provide for better learning?
* What is involved in real integration of geometry, algebra, and
other content? Teachers might teach separate units within a course.
* If high school teachers believe that higher education places a
priority on algebra, what is the danger that geometry will receive
less attention than it receives now?
* What about teachers who currently call themselves geometry teachers?
How might they respond? What about teachers who prefer not to teach
geometry?
* Where is mathematical proof in the GPS?
* Are important geometric ideas missing from the GPS?
* Is threedimensional thinking given appropriate attention?
After a short background presentation about the GPS, seminar participants
will engage in these questions with the aim of generating goals
and themes for the present study group and for workshops to be organized
this spring at UGA by the Department of Mathematics and the Department
of Mathematics and Science Education.
