Mathematics Education Program
J. Wilson, EMAT 6680
Fall 2008
EMAT 4680/6680
Technology and Secondary School Mathematics
This is the web site page devoted to EMAT 4680/6680 Technology and Secondary
School Mathematics at the University of Georgia as led by Jim Wilson. The
development of this course was assisted by my involvement in the Learning and Performance Support Laboratory, University of Georgia. A little support was
provided from grants GRA/GCATT94.02 and GRA/GCATT94.03 of the Georgia Research Alliance and the Georgia Center for Advanced
Telecommunications Technology.
Click here
for further course background and rationale.
Last modified on August 10, 2008
Send e-mail to jwilson@uga.edu
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Roots
2 and 5. This paper examines sets
of equations that have graphs crossing the x-axis only at 2 and 5. For a
preview on one family of such graphs, click here.
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.
EMAT 6680 Documentation
- EMAT 6680 Syllabus - General information about the objectives and operation of the course.
- EMAT 6680 Assignment 0 - This set of mathematics explorations is to help develop familiarity with graphing of relations and functions using various technology applications.
- EMAT 6680 Assignment 1 - Problems and explorations with graphing functions and relations.
- EMAT 6680 Assignment 2 - Problems and explorations with second degree equations.
- EMAT 6680 Assignment 3 - Quadratic and Cubic Equations.
- EMAT 6680 Assignment 4 - Centers of a Triangle.
- EMAT 6680 Assignment 5 - Making and using scripts.
- EMAT 6680 Assignment 6 - Problems.
- EMAT 6680 Assignment 7 - Tangent Circles.
- EMAT 6680 Assignment 8 - Altitudes and Orthocenters.
- EMAT 6680 Assignment 9 - Pedal Triangles.
- EMAT 6680 Assignment 10 - Parametric Equations.
- EMAT 6680 Assignment 11 - Polar Equations.
- EMAT 6680 Assignment 12 - Mathematics Problems and explorations with spreadsheets.
FINAL PROJECT
and
EVALUATION
(To be activated late in the semester)
What is a WRITE-UP?
- Write-Up #1 (Graphs). The first write-up is a problem from Assignment 1 -- you select.
- Write-Up #2 (Quadratics). The second write-up is a problem from Assignment 2 -- you select.
- Write-Up #3 (Quadratic Equations). This is Assignment 3.
- Write-Up #4 (Concurrencies of a triangle). Something from Assignment 4 on the Centers of a Triangle exercises.
- Write-Up #5 (GSP Script Library). Make a link to your web page to connect to your file of GSP Scripts. This will be expanding throughout the quarter.
- Write-Up #6 (Problems). Select one of the 10 explorations in Assignment 6 for a Write-up.
- Write-Up #7 (Tangent Circles). The investigation explores the set of circles tangent to two given circles and the locus of their centers. The write-up is to select some aspect of the investigation for a discussion.
- Write-Up #8 (Altitudes and Orthocenters). Select one of the explorations in Problems 7 - 15 of Assignment 8 for a Write-up.
- Write-Up #9 (Pedal Triangles). The investigation explores aspects of the Pedal Triangle associated with a Pedal Point of a triangle. The write-up is to select some aspect of the investigation for a discussion.
- Write-Up #10 (Parametric Equations). Select one of the 12 explorations in Assignment 10 for a Write-up.
- Write-Up #11 (Polar Equations). Select one of the 5 explorations in Assignment 11 for a Write-up.
- Write-Up #12 (Spreadsheets). Select one of the 12 explorations in Assignment 12 for a Write-up.
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