Fall 2010

**Math
Ed 308**

**Professor:
**Dr. Blake Peterson **Office: **TMCB
193B

**Office Phone: **422-7784 **email: **peterson@mathed.byu.edu

**Office Hours: **MWF 11:00-11:50
**Class Time: **MWF 12:00-12:50

and by appointment

**Grading: ** Homework 70%

Project 25%

Presentation
of Project 5%

**Homework:** Homework assignments will be given daily and are
typically collected on Mondays of the following week (i.e. the assignments
given on Monday, Wednesday and Friday of week 10 will be collected on Monday of
week 11).

**Class
Participation: **Because there is no
text explaining how to do the things that we will discuss in class, attendance
is critical. Class participation will be based on attendance and active
participation in class discussion -- if you're there and working, you'll get
the credit. If you are not there, the consequences are as follows. 1 absence =
OK, 2 absences = -.5% 3 absences = -1%, 4 absences=-3%, *n* absences = -(2(*n*-2)-1)%
for *n*>3. The only exceptions for
these consequences are for prolonged illnesses.

**Project: **The project to be done in this course can take one of
three forms: 1) an investigation of a mathematical problem that utilizes the
technology 2) development of a series of activities for students to do that
allows them to investigate a mathematical problem using technology or 3) the
development of some instructional materials to be used in the classroom to help
students better visualize a series of mathematical problems or concepts. A
one-half page project proposal will be due on Monday, November 1 in class. This
finished project should consist of the files created and a 2-5 page description
of the project and should be of a significant length. The project will be due
on the final day of presentations which will take place during the scheduled
final exam slot.

**Presentation:
**During the last week of class, each
student will have 8 minutes to describe their project and how it would be used
in the classroom or the mathematics that they have learned.

**DESCRIPTION
OF COURSE CONTENT**

** Technology** : The overarching theme
in this course is how technology
can be effectively used to teach and understand mathematics. It will be
important to understand that technology is a tool which
has limitations and should not drive the curriculum. In order to accomplish
this, the material will be presented using a problem-solving approach. This will be done by introducing features of the technology
and then assigning mathematical problems that can be investigated using the
technology as a tool. The big topics of the course are:

á Dynamic Geometry (GeometerŐs Sketchpad or Cabri
Geometry)

Introduce tools such as Sketches, Transformations,
Scripts, Animations.

Investigate math problems such as midpolygons,
properties of the 9-pt circle etc.

Discuss how Sketchpad investigations can lead to
conjecture and proof and how they can be misleading.

á Spreadsheets (Excel)

Introduce the basic functions, macros and graphics available.

Create worksheets that simulate probabilities and encourage investigations of functions, matrices, and statistics.

Investigate math problems such as Buffon needle problem, probability simulaitons etc.

á Symbolic Manipulator and 3-D graphics (Mathematica or
Maple).

Evaluate the power and limitations of symbolic Integration and Differentiation.

Investigate the functions whose graphs are 3-D surfaces and other 3-D objects and how changing the parameters of the functions affects the shape of the figure.

á Calculator Technology

TI-89

Evaluate the capabilities of this calculator and discuss the extent to which symbol manipulating calculators and software should be used and when they should (if at all) be introduced.

Calculator
Based Laboratories (CBL)

Investigate
real world situations involving periodic motion, exponential decay, rate of
change etc. using the CBL probes.

*Schedule for Fall 2010*

__Week(s)
Topic __

1
TI-89

2-5
Spreadsheets

6-8
Geometer's
Sketchpad

9-10
Mathematica/Maple

11
TI-89

12-13
CBLŐs

14
(12/6 and 12/8) Presentations

Final Exam Time Slot (12/14 @ 11am-2pm) Presentations