The purpose of the course project is to synthesize what you have learned about secondary school curriculum topics, teaching mathematics, learning mathematics, and the appropriate use of technology to enhance these topics and processes. The following project and presentation will serve as your cumulative final exam and are worth 60 points of your final grade.
An Overview of
the Project
The project will be a group effort.
You will form into groups of 4 (with one group of 3) based on
your
chosen mathematics topic. You and your partners will plan and
create
a 23 day (assume 6070 minute class periods) investigation of a
mathematics topic that utilizes at least two technology tools explored
in this course. This project will include a clearly written lesson plan
and student materials, if needed. In addition to the investigation, you
will need to write a paper (one per group) that supports the methods
used in teaching the topic and
how technology is extending or enhancing the learning of this topic.
You
should use the NCTM Principles and Standards document and, if
appropriate,
any other readings from books or journals to support your methods. Your
paper
will also include a reflections section about what you learned in
creating
your course project.
Each group of students will share the investigation in a 30 minute class presentation. Approximately 10 minutes of that presentation should engage your classmates in a "glimpse" of the investigation you have planned. The remaining time should be used to discuss your rationale for the methods and technology used, personal reflections, and questions/comments from the group. Each member of your group should have a role in the presentation.
Suggestions for
Getting Started:
Choose a "big idea" in Algebra that
interests you (e.g., functions, modeling, conics, statistics, formulas,
matrices,
derivatives, data analysis, etc.). Make a list of some of the major
concepts
and skills within that "big idea". As you review the sources listed
below,
you should further refine and focus your "big idea" into a topic for a
solid 23 day investigation at the grade level of your choice.
Look through the website supporting the NCTM Principles and Standards for suggestions related to your topic of study, including the Illuminations site and the Electronic Examples. You will need to cite which of the 6 Principles and 10 Standards you address in your investigation.
Do a search on your topic both on the internet and/or in print journals such as Mathematics Teacher, Mathematics Teaching in the Middle School, and Learning and Leading with Technology (we have these journals in the math education library). Look for suggested ways to teach your topic. Look through textbooks and workbook materials for suggested activities that address your topic (look in Room 111/113 and the 2nd floor curriculum library) . You are required to reference at least 2 sources from which you found ideas, examples, etc.
And, most importantly, keep asking yourself critical questions about HOW and WHY technology enhances or extends the teaching and learning of your topic. Remember, you need to formulate a solid rationale in support of the teaching methods and technology you will use in your 23 day investigation of this mathematics topic.
I. Lesson Plans, Rationale, and Reflections


1. Describe your "big idea", the important concepts and skills related to that big idea, 

2. List and briefly discuss the NCTM Principles and Standards that are addressed 

3. Provide a lesson plan that includes classroom procedures, guiding questions for 

4. Discuss a wellformulated rationale in support of your methods and technology 

5. Write a reflection on developing the investigation. What did you and your partners learn about the mathematics topic? What did you learn about teaching this topic and students' understandings of this topic? 

TOTAL POINTS 

II. 30 minute class presentation


Provide a clear "glimpse" at the investigation that actively engages the class in using the technology. (~10 minutes) 

Provide a clear concise summary of your rationale for the methods and technology used. (~15 minutes) 

Provide a brief "glimpse" at your personal reflections on developing this investigation. (~5 minutes) 

TOTAL POINTS 

III. Assessment of Individual Contributions to the Group Effort.
One issue with group work is
determining the contributions that individual members made to the group
project. We shall use an anonymous rating sheet where each
member of the group will
assign a percentage to each group member that indicates that member's
contribution
to the group project (including their own contribution). I shall
then
sum these percentages for each member of the group. Ideally these
summed percentages would add to 100% for each member. This
anonymous procedure allows group members to assess their own
contribution relative to the others in the group. Some people may
feel that they did the lion's
share of the work, while others may realize that they didn't pull their
weight.
I shall use these summed percentages as scale factors for each
member
of the group when assigning individual points. For example, if
the
group project results in a total of 60 points, and the summed
percentages
across the four members of the group are as follows: student A  110%,
student B  90%,
student C
 100%, and student D 100%, then A would receive 60x1.1=66, B would
receive 60x0.9=54
and C and D would receive 60 points each.