Computers in Mathematics Education, Spring Quarter,
April 1 - June 6
2:20 - 4:15 Tues., Thurs., and certain Fridays
Final Exam Schedule: Tuesday, June 10, 12:00 - 3:00 p.m.
Instructors: John Olive, 110E Aderhold Hall, 542-4557
Office hours: John: 10:00 - 12:00 Tuesday and Thursday and by appointment
Mark Freitag, 105C Aderhold Hall, 542-4537
Mark: 11:00 - 12:00 Monday, Wednesday, Friday
Under our new program guidelines, students should enroll concurrently in
EMT 468 and EMT 335. If you are not already enrolled in EMT 335, discuss
this situation with John Olive and Debbie Gober. The two courses will be
coordinated so that activities in one complement activities of the other.
(Borrowed freely from Dr.
James W. Wilson's course description)
This course will concentrate on using various software applications to
solve mathematics problems, to organize pedagogical demonstrations, and
to set up problem explorations. The students will use application software
owned by the Department of Mathematics Education and will carry out the
course using primarily Macintosh computers.
GSP is a dynamic geometric construction package with features that include
construction tools, measurement tools transformation tools, and animation
tools. Geometer's Sketchpad is published by Key
The emphasis is on exploration of various mathematics contexts to learn
mathematics, to pose problems and problem extensions, to solve problems,
and to communicate mathematical demonstrations.
The following software will be used:
for instructions on setting up GSP as a helper application.
see a GSP example click
here. Then double-click on "Animate."
For a GSP Script example click
here. When the script screen opens in GSP, open a new sketch and select
two points, as instructed, to "play" the script.
Patterns formed by concentric pentagons rotating in opposite ways are shown
Algebra Xpresser is a relations grapher and symbolic algebra tool. The distinction
between a relation grapher and a function grapher is an
important one from both mathematical and pedagogical considerations.
Excel is a second generation spreadsheet program that allows creation and
manipulation of a data array and the immediate graphing of selected subsets
of the array.
This is a Web Browser that we shall use for exploring the World Wide Web
(you are probably using it to access this page).
LogoWriter is an environment for Logo programming. We shall use it to explore
"Turtle Geometry" and function concepts.
xFunction is a freeware program for graphing functions, displaying information
on functions, and other utilities.
This is a new dynamic software environment that is being developed for exploring
statistics and probability. We shall be testing an Alpha version of the
This is a Probability microworld developed in Object Logo by Dr. Zhong Hong
It is useful to be able to go from any application program to present output
within a discussion and to print that discussion on the printed page. Microsoft
Word 5.1 is one of several word processing programs available. Various "paint"
programs provide useful drawing capabilities.
- Some MacIntosh tool programs for word processing and drawing.
There is no required textbook but students are strongly urged to
purchase the Student Edition of The Geometer's Sketchpad.
This will be the primary software used during this course and EMT 469. The
student edition costs less than $40 and includes everything that is in the
full-price individual package except for a three-ring binder! This will
be the students' very own copy that they can use on their home machines
or on one classroom machine when they are in schools. (It should be removed
from the school machine when they leave the school.) More importantly, this
will provide students with full documentation on the program and thus allow
them to explore the capabilities of the software in much greater depth than
any course handouts can provide. The Student Edition of the Geometer's Sketchpad
can only be obtained directly from Key
The class will use fully ethernet networked computers in Room 111/113. Most
assignments will be given and turned in via the network. We will have access
to and learn to use various network tools.
Students will need a few High Density (HD) 2 mb capacity 3.5" disks.
For those who can not resist killing off a few trees, there is a printer
. . .
All work for this course will be kept in Electronic Portfolios. These will
be saved on students' floppy disks as well as in the instructor's shared
folder on his hard drive. Each week there will be challenge or follow-up
investigations based on the classroom explorations. At least one of these
follow-up investigations will be written up and saved in the students' electronic
portfolios along with the results of the classroom explorations.
Reports on the Standards and other readings
Students will be required to write a report on how all three Standards
documents provide for the use of technology in the mathematics teaching
and learning enterprise. These reports will be included in their electronic
portfolios and should include example activities to illustrate the recommendations.
Short reflections on other assigned readings will also be included in their
The Final Project for this course will be the development of a teaching
unit that makes use of at least one of the technological tools that students
have been using in this class. This unit will be a group effort and should
cover at least four lessons with students. At the midpoint of the quarter
students will form into groups of four to choose a topic for their final
project. The intent is to implement this project with high school students
during the next quarter (as part of EMT 400).
The final exam will be the presentation of the groups' Projects to the rest
of the class, including class participation activities.
Grading will be based on the following criteria:
- Participation in class activities and discussions . . . . (10% of
Time on computers
- Electronic Portfolios . . . . . . . . . . . . . . . . . . . . . . . .
. . . . (50% total)
Classroom investigations (5%)
- Final Project . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . (25% total)
Follow-up activities (20%)
Reports on the Standards (20%)
Reflections on readings (5%)
Group effort (15%)
- Final Presentation . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . .(15% total)
Individual effort (10%)
Group effort (10%)
Individual effort (5%)
Students can not expect to accomplish what they should from this course
without time on the computers that is in addition to the time we have in
class. The usual expectation of 2 hours study outside of class for every
hour in class is probably a minimum. There are several Macintosh laboratories
available in this building and across campus.
A note on computers
We are scheduled to hold this class in Room 111/113 with a laboratory of
Macintosh Power PC 7100 computers. The Power PCs are in the family of the
most advanced computers in the Macintosh Line. There are some additional
Macintosh computers in Room 228, Room 615, and in the EMT office area (Rm.
In general, the application programs we will use in this class will run
on any of the Macintosh computers except the oldest machines. There are
distinctions such as operating systems and hard disk drives that have to
be accounted for. Also, some applications require a Mathematics Coprocesser
(FPU) that is standard on some machines, unavailable on some, and available
as an option on others.
Click Here for an outline
of the mathematical foci for each week of the course.
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