Final Project
Requirements
1.
A
finished lesson plan that will be handed out to each person in the
audience. Included in the lesson plan
will be the standards (e.g. NCTM, Maryland, Delaware, or some other set of
standards) that the lesson is intended to address
2.
An
oral presentation that follows the lesson plan and addresses some of the issues
that need special care to ensure that the lesson achieves its goals.
3.
A
paper that addresses the mathematics behind the lesson. This paper should
a.
Be
written for a middle school mathematics teacher
b.
Address
the goals indicated by the check mark
c.
Address
some of the sub goal indicated by the open box
The goals of this course are that each participant
will
ü
Understand
the mathematical modeling process.
ü
Identify
connections between mathematics and other disciplines.
·
Apply
the mathematical modeling process to a variety of situations from the real
world.
·
Recognize
when different real-world situations may be represented by the same model.
·
Recognize
that some real world situations may be represented by several different models.
ü
Know
the strengths and limitations of mathematical modeling as a method for solving
real-world problems.
ü
Be
adept in using some technological tools, such as calculators, computers, and
automated data gathering devices, in problem solving.
·
Use
a variety of mathematical techniques in modeling and problem solving.
q
Demontrates
when modeling from data that she/he can
o
model
real phenomena with a variety of functions;
o
represent
and analyze relationships using tables, rules, and graphs;
o
translate
among tabular, symbolic, and graphical representations of functions;
o
analyze
the effects of parameter changes on the graphs of functions;
o
use
curve fitting to predict from data;
o
transform
data to aid in data interpretation and prediction;
o
develop
and employs criteria for "goodness of fit."
q
Demonstrates
when modeling from theory that he/she can employ
o
linear,
power, exponential, polynomial, exponential, and logarithmic equations;
o
function
notation;
o
matrices;
o
graphs
and diagrams;
o
probability
simulations;
o
difference,
or differential, equations;
o
appropriate
software (spreadsheets, Maple, Derive, Mathematica, Stella, etc.);
ü
Skillfully
communicate mathematical ideas and approaches to problem solving both orally
and in writing.
ü
Critically
evaluate mathematical models and comments on their strengths and limitations.
View
the workshop description.
View Don Cathcart's home page.
View Bob Tardiff's
home page.
View Steve Hetzler's home page.
View
the Summer 2002 schedule for this workshop.
View
the requirements for the portfolio.
View
the lesson plan format for this workshop.