Your investigation will result in three "products." The first
will be a written report. The second will be a very brief presentation before
an audience and a panel of judges. The third will be a display of some kind
that you will use to summarize your findings for students, judges, and others
who will come to you and ask you questions about your work. In all three,
you will need to explain your findings and conclusions, give reasons for
the variables you decided to investigate, for the methods you chose to employ
in the investigation, and so forth. In the final evaluation, the report
will account for 70% of the total points. The presentation will account
for 15% and the display will account for the remaining 15%. Below you will
find explanations of these three products and the ways in which they will
be evaluated.
The report, the presentation, and the display will be evaluated according
to your performance on the criteria shown below. You will receive 0, 1,
2, 3, or 4 points on each of these criteria. When you meet expectations
for a criterion, you will be awarded 3 points for that criterion. Four points
will be awarded to those who, in the judgment of the evaluators, exceed
expectations. Zero points will be awarded if there is no effective response.
I. The Report (70%)
The entire report should be ten pages or fewer. The pages should
be numbered and have one inch margins all around. Please use a legible font
and do not use a font smaller than 12 points for the text of the report.
The following is a scoring guide for the report.
Addressing the problem, 12 points |
Address the problem that was posed.
 |
The problem you addressed is the one that was given. It has been addressed
within your context but it has not been substantially modified. |
.
Restate the problem in your context.
 |
The problem is clearly and succinctly restated in the report's introduction
so that the reader will know what the problem means in your context. |
Communicate your plan for addressing the problem.
 |
A clear and succinct plan for addressing the problem is outlined following
your restatement of the problem. The plan should follow a logical progression.
For example, "In order to address the problem we needed to know x.
Therefore we did y." |
Data sources must be clearly identified and cited.
 |
You clearly identify the sources of data you use to address the problem.
Your citation should allow an informed and competent reader to find the
same information. |
Data sources must be appropriate and reliable.
 |
The data sources you choose would be acceptable to an "expert"*
in the relevant field. |
Data sources must be sufficient.
 |
You give evidence to show that if multiple sources of data are available,
you have investigated these to the point where you can make a reasoned choice
about using one or more of these. |
Mathematics, 32 points (This
section receives double weight: 16x2=32) |
The mathematics you use must be appropriate.
 |
You have selected mathematical tools (algorithms, techniques, procedures,
models, etc.) that have the potential to address the problem effectively.
A K-12 math "expert"* would probably make the same selection. |
The mathematics you use must be clearly justified.
 |
You have given a clear and succinct justification for substantial choices
among mathematical tools (e.g., You don't need to explain why you chose
addition when you need the sum of a set of numbers. You should explain more
sophisticated choices such as why you decided to use a linear model to predict
growth rather than an exponential model. |
The mathematics you use must be adequate/sufficient.
 |
The mathematical tools you selected enable you to address the problem
effectively and efficiently.
You've done enough. |
The mathematics you use must be correctly applied.
 |
You have used the mathematical tools (algorithms, techniques, procedures,
models, etc.) successfully. There are no substantial mistakes in your mathematics. |
Communicating the Results, 20 points |
Your conclusions must be clearly and correctly tied to
and supported by the mathematical analysis.
 |
You are able to explain how you have used mathematics to make sense of and
solve the problem. Your explanation follows a clear and logical sequence
that makes sense to a K-12 mathematics "expert"*. |
The figures and graphics must be necessary and sufficient.
 |
You used representations of mathematics (tables, graphs, charts, etc.) that
assist the reader in understanding your work and your conclusions. Every
representation has a clear and considered purpose. |
The figures and graphics must be clearly labeled.
 |
The meaning of the figure or graphic is clear to a competent reader. You
have a succinct and informative title for each figure or graphic. The axes
or dimensions are labeled, etc. |
The figures and graphics must be tied to the text.
 |
When a figure or graphic appears in the report it has a figure number in
the lower left corner (i.e., figure 1, figure 2, etc. ). Each figure is
clearly connected to a point that you are making in the report. (e.g., "The
data / results in figure 4 show that...") |
Your grammar is correct.
 |
You have very few grammatical errors**. You must have page numbers. You
should use some acceptable style standard (e.g., Strunk and White, APA,
etc.). While you do not have to be obsessive about this, deviations from
a standard should not detract from the report's readability. Your source
citations must also conform to some standard format. |
II. The Display (15%)
On the day of the contest, you will set up and "staff" a display
where you will talk with people about your investigation. You should have
some sort of visual display that summarizes the highlights of your investigation.
This, however, is only part of the process. More importantly, you should
be prepared to summarize the results generally and to answer specific questions
from judges and students about your work. These questions can cover any
aspect of the work you have done, including details from the report and
will allow the judges to finish their evaluation of the investigation. These
displays will be set up in an area that is available to all of the participants
in the contest and so you may also get questions from others who are interested
in your work. At least one member of the team must be present
at all times. The following is a scoring guide for the display.
Your display and the people supporting it must:
explain your interpretation of the problem.
 |
Your display and your verbal explanation should allow a competent and interested
reader or listener to understand the basis of the problem in the context
of your school. |
explain and justify the approach you took.
 |
Your display and your verbal explanation should allow a competent and interested
reader or listener to understand why you selected major mathematical tool
and techniques. |
explain and justify your conclusions.
 |
Your display and your verbal explanation should allow a competent and interested
reader or listener to understand your solution to the problem that was posed. |
III. The Presentation (15%)
On the day of the contest, your team will give a very brief
(about five minutes) presentation summarizing your investigation. The evaluation
of the presentation will focus more on your communication skills than on
the quality of the mathematics, which receives primary emphasis in the report
and the display. The following is a scoring guide for the presentation.
Your presentation should be informative.
 |
Your presentation should include sufficient information so as to enable
listeners to understand what is important about this problem and your conclusion
or solution to the problem. |
Your presentation should be clear.
 |
The style, structure, and sequence of your presentation should enable listeners
to easily understand your work on the problem. |
Your presentation should be convincing.
 |
The style, structure, and sequence of your presentation should convince
listeners that you used mathematics effectively to understand and address
the problem. |
Your presentation should be compelling.
 |
The style, structure, and sequence of your presentation should keep listeners
engaged, involved, and interested. |
Your presentation should be succinct.
 |
Your presentation must be completed within the allotted time. |
Your presentation should be responsive to questions.
 |
You must be prepared to answer reasonable questions from the audience or
judges. |
* An "expert" is someone who is very familiar with the context
of this question and who has a very competent and informed grasp of K-12
mathematics.
** You should have the report proof read by an expert--consider one of
your school's language arts teachers.
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