|
With a partner design a set of activities to be used for instruction
of geometry proof at the high school level. The task may be composed
of one problem or multiple problems with the same theme that
span two to three class periods. Your activities should create
a need for proofs among your students and should culminate in
at least one proof by the students.
Your written report should include the following:
- a description of the activities in detail and how you would
use them in the classroom,
- a description of acceptable student responses to the task(s)
or a grading rubric,
- overall goals of the activity (what's the purpose of having
students do it?),
- a discussion of how you would assess what the students have
learned with regard to the goals of the activities,
- a discussion of some of the pedagogical recommendations discussed
in class as they pertain to the activities, e.g., responsive
proof, proof as answer to questions, proof checking, structural
proof, moving students from inductive to deductive reasoning,
addressing the issue of what constitutes a proof.
The written report should be three to five pages long excluding
references. The report should be typed and double-spaced. Turn
in 12 copies of the report so we may share your projects among
ourselves. Provide bibliographical information if necessary.
References (if any) cited in the report should be listed at the
end. Please use the recommendations of the Publication Manual
of the American Psychological Association, 4th ed. (Washington,
DC: American Psychological Association) to format references.
Grading Rubric
All elements must be included and clearly described.
|
3 points |
description of the activities and how you would
use them in the classroom |
|
3 points |
description of acceptable responses to the task
or a grading rubric |
|
5 points |
goals of the activity; include how your activities
may create a need for proofs among your students and how the
activities may culminate in at least one proof by the students |
|
4 points |
a discussion of how you would assess what the
students have learned with regard to the goals of the activities |
|
5 points |
a discussion of some of the pedagogical recommendations
discussed in class as they pertain to the activities, e.g., responsive
proof, proof as answer to questions, proof checking, structural
proof, moving students from inductive to deductive reasoning,
addressing the issue of what constitutes a proof |
|
2 points |
overall: spelling, grammar, format, structure,
references (if appropriate), etc. |
|
3 points |
appropriateness/quality of the activities |
| 25 points |
Total possible score |
|