**Major Project: Develop a web-based teaching
resource package to support implementation of the middle or high-school
GPS in mathematics
**

The major project is intended to allow you, individually or in
pairs, to develop a complete teaching resource package for
a unit to support implementation of a selected topic from the new Georgia Performance
Standards in Mathematics.

**
**

These web-based units will provide a comprehensive set of originally developed instructional materials that a middle or secondary teacher could use to teach an integrated mathematical topic keyed to appropriate GPS. The package should provide student materials, didactical rationales, and detailed guidelines related to all activities of student and teacher, including assessment and evaluation. Reflections from each member of the group should discuss connections, applications and impacts of your development experiences into future teaching practices.

Your project must make effective use of appropriate technologies and be accessible through the World-Wide-Web. The rationale for the choice of technologies must be clearly stated in the report.

Your report should also highlight the NCTM Principles and Standards as well as the Georgia Performance Standards (GPS) that are addressed through the activities in your resource package.

A major change in the new GPS
is the nature of the courses in the secondary school curriculum.
All courses at the secondary level will be INTEGRATED mathematics
courses (Math 1, 2, 3 & 4). Thus, I encourage you to develop
a teaching resource package that integrates several mathematical
topics.

- Conic sections
- Physics/motion/vectors
- Optics
- Euclidean geometry
- Analytic/synthetic geometry
- Complex numbers
- Number theory
- Functions (inverse, identity)
- Social choice/voting systems
- Game theory
- Trigonometry
- Mathematical systems
- Matrices
- Sequences and Series
- Probability
- Geometric Probability
- Data and statistics

__Some possible starting
points__

- Non-decimal bases and ancient numerical systems
- The algebra of modula arithmetic
- Patterns in repeating decimals
- Fibonacci sequences
- Golden ratio and the divine proportion (geometric, algebraic, applications)
- Pascal's triangle
- Geometric and numerical relationships using areas and perimeters
- The mathematics of Geographical Positioning Systems (GPS)
- Exponential and logarithmic functions
- The probabilities of winning the various Georgia Lotto games
- SAT statistics by state
- The Central Limit Theorem
- A Fathom Survey

Only one final project report is required from
each pair but individual reflections and summaries will be required
from each member of the pair.

I suggest that the various components of the resource package be
divided between the pair. It is very critical,
however, that the pair develops an overall plan for the package
before individuals start working on their respective parts.
This overall plan needs to be included in the report. It
will be necessary for each member of the pair to be aware of what
the other member is developing throughout the process.

Resource packages must be mounted on
each member's web page with links to appropriate files and resources.
We shall also attempt to use the GPS web-based Unit Builder to mount
your resource packages on the GPS Teacher Resources web site.

Each pair or individual will present their report during the exam
period on Tuesday, June 5 from 8:00 a.m.-11:00 a.m.

Grading will be based on a total of 100 points.

Overall quality of the report--- 50 points (assigned to both members of the pair)

- Does it include all relevant aspects as listed above?
- Is it well written?
- Is it well organized?
- Is it keyed to appropriate GPS and NCTM standards?
- Does it demonstrate originality or creativity?
- Did all members of the group contribute to the report?

Individual reflections and summaries

Presentation of the report

- The presentation should be planned to last approximately 20 minutes
- Each member needs to take an active role in the presentation
- It should begin with a brief overview of the project
- It should include a sample activity that involves the rest of the class in the use of technology
- Implications for teaching the unit should be shared

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