Computers in Mathematics Education, Spring Quarter, 1998.
March 31 - June 4
2:20 - 4:15 Tues., Thurs., and certain Fridays
|John Olive||Keith Leatham|
|105F Aderhold Hall||105H Aderhold Hall|
|Office hours: John: 10-12 Tuesday and Thursday and by appointment||Keith: by appointment|
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 Patricia Wilson. The two courses will
be coordinated so that activities in one complement activities of the other.
(Borrowed freely from Dr. James W. Wilsonís 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.
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.
1. Geometerís Sketchpad
GSP is a dynamic geometric construction package with features that include construction tools, measurement tools transformation tools, and animation tools.
2. Algebra Xpresser
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.
3. Excel Spreadsheet
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.
4. Netscape Navigator/Communicator
This is a Web Browser that we shall use for exploring the World Wide Web. We shall be taking part in a special project with the Math Forum on the Web.
5. LCSI Microworlds
Microworlds is an environment for Logo programming. We shall use it to explore "Turtle Geometry" and function concepts.
6. The Graphing Calculator
The Graphing Calculator comes as part of the Power Macintosh Operating System. It is a program for graphing functions in two and three variables, animating functions, and other utilities.
7. Data Space (now FATHOM)
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 software.
8. Some Macintosh tool programs for word processing and drawing.
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 6.0 is one of several word processing programs available. Various "paint" programs provide useful drawing capabilities.
There is no required textbook but students are strongly urged to purchase the Student Edition of The Geometerís 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 studentsí 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 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. All students will be required to have an active e-mail account as electronic mail will be the primary mode of communication outside of class.
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 studentsí floppy disks as well as in the instructorís 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 studentsí 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 portfolios.
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 groupsí 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 total grade)
- Electronic Portfolios . . . . . . . . . . . . . . . . . . . . . . . . . . . . (50% total)
Classroom investigations (5%)
Follow-up activities (20%)
Reports on the Standards (20%)
Reflections on readings (5%)
- Final Project . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (25% total)
Group effort (15%)
Individual effort (10%)
- Final Presentation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(15% total)
Group effort (10%)
Individual effort (5%)
Time on computers
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 computers. The Power PCs are in the family of the most advanced computers in the Macintosh line. There are some additional Macintosh computers in Rooms 228, 229, 615, and in the EMT office area (Rm. 105G). MS Windows versions of some applications are available.