Mathematics Education

EMAT 6680, J. Wilson

COURSE SYLLABUS

Summer 2011

Last modified on

(Statement required by the University)

A course syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary.

**Course:** **EMAT 6680 Technology and Secondary
School Mathematics
Instructor:**

James W. Wilson

110F Aderhold Hall

Telephone (706) 542-4552

FAX (706) 542-4551

e-mail: **jwilson@uga.edu**

**Office hours:**
I maintain an open door policy for office hours. I come to the
office early each morning (usually 7:30 to 8:00) and if I am not
tied up in a meeting or talking to another student I am available
to you.

**Prerequisites for EMAT 6680:** MATH 2210 or 2260. If you have
not studied inferential and differential calculus, discuss the
situation with me.

**Objectives**

- To become familiar with and operational with
using technology tools in doing mathematics.

- To solve mathematics problems using application
software.

- To create mathematics demonstrations using
application software.

- To construct new ideas of mathematics for
yourself using application software.

- To engage in mathematical investigations
using software applications.

- To engage in some independent investigations
of mathematics topics from the secondary school curriculum or
appropriate for that level.

- To communicate mathematics ideas that arise
from mathematics applications on the MacIntosh.

- To communicate mathematics ideas using various
techology tools.

- To facilitate mathematics investigations and communication about mathematics investigations using general tools such as word processing, paint and draw programs, spreadsheets, and the Internet.

**Course Description.**

Look carefully at the objectives: the course is about doing mathematics. Technology is a goal only insofar as it supports doing mathematics. This is a course about mathematics and technolgy is a lens for extending what mathematics we can do and how we approach our mathematics.

This course will concentrate on using various software applications
to solve mathematics problems, to organize pedagogical demonstrations,
and to set up problem explorations. Students on campus will use
application software owned by the Department of Mathematics and Science Education
and will carry out the course using primarily MacIntosh computers.
All materials for the course are maintained by an Internet Web
page site and students will create and use web documents in the
course. Students off campus who have access to their own server
have an option put their web productions on their own server and
link to the course page.

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:

**Graphing Calculator 3.5 **is the current version of a computer program, Graphing
Calculator, that for many years was bundled with Macintosh computers. It is available on
all machines in our laboratory in Room 111/113. Version 3.5 will graph relations
(implicit functions) as well as functions, and can be used for parametric
equations, polar equations, 3D graphs, and more. See **http://www.pacifict.com**.
A Windows version of Graphing Calculator 3.5 is also available. GC 3.5 is available
for purchase from the web site for either Macintosh computers or Windows computers.
See also **Http://www.pacifict.com** for information on purchasing this product as a student. (Scan your student
ID to get $40 price)

**Click here**
to open a sample Graphing Calculator 3.5 file (.gcf)

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 Curriculum Pressat <http://www.keypress.com>. We are using version 4.07. GSP is available for both Macintosh and Windows and files transfer from one platform to the other. See the web site for information on purchase of a student version for approximately $40. It is also available at the UGa Bookstore.A new version of GSP, 5.0, is now available. If you are purchasing GSP for your own use, you may want to consider GSP5. There is a setting within GSP5 that allows you to save files in the GSP4 format. For our purposes, either version of GSP can be used but GSP5 files should be saved in the GSP4 format for use in our web pages. There are features of GSP5 that we will not use in EMAT 6680.

To see a GSP exampleclick here. Then double-click on "Animate."

For a GSP with a Script Tool exampleclick 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 inPentamotion.

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. It is a part of MicroSoft Office that is widely used on both Windows and MacIntosh platforms.

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 is one of several word processing programs available. Various "paint" programs provide useful drawing capabilities.

Dreamweaver is a utility program for creating and editing web pages. It is one of the most versitile web editors available and the choice of many web developers. A verson is on our computers in Rm 111/113.

Browser software for reading internet files. Internet Explorer has not been supported for the Macintosh platform since 2002 but there are still copies of it around. Netscape is no longer supported and is vulneraable to hackers. We no longer maintain Netscape on the EMAT computers in Rm 111/113 or the Begle Library.

Project InterMath.

Project

InterMathis a National Science Foundation supported (1999 - 2004) project to introduce mathematics technology to middle school mathematics teachers and help them improve their mathematics background. It implements a similar instructional philosophy to this course but at the middle school level. Visit this website to see a huge selection of mathematics investigations in algebra, number, geometry, and statistics. See also theInteractive Mathematics Dictionary.

A note on EMAT 4690/6690.

EMAT 4690/6690 is a follow-up course to EMAT 4680/6680 offered usually Spring semester and it is an extension of EMAT 4680/6680 in two senses. First it allows more advanced use of these software packages as well as other applications. Second, it emphasizes the development ofunitsof material (e.g. sequences of lessons) that might be used with secondary school students.

There is no textbook.

The class will use fully ethernet networked computers in Room 111/113. All assignments will be given and turned in via the Web Site at <http://jwilson.coe.uga.edu> or placed on the student's own web server and linked to this Web Site. We will have access to and learn to use various network tools.

Time on computers

You can not expect to accomplish what you 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 G4, Macintosh G5 and iMac G5 computers. There are some additional Macintosh computers in Room 105m (Begle Library), Room 228, Room 615, and in the EMAT office area.

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. If you have your own Mac, or access to one, I will help you get set up to run these programs on it (if it is possible)

Most Macs today run with operating system 10.5.8 or 10.4.11. In general, as operating systems have improved over time, most people move to the newest system. Our machines in Room 111/113 use System Mac OS 10.5.8 or System Mac OS 10.6 (on Intel processor machines).

Most of our software is also available for Windows machines. The functionality of some other Windows software is similar to what we use. Certainly the Windows environment could be used for implementing this course. Students can work at home on a Windows computer and transport to these Rm 111/113 machines via removable media (e.g. CD disks or USB thumb drives) or the network. It is also possible to set up FTP access to the server so that your web productions can be implemented from a remote site. Expect to experience a few hang-ups but it will work. Further, software or hardware with similar functionality is available on many hand-held devices. You would need Windows versions of GSP and Graphing Calculator 3.5 on your computer to fully implement this course.There are still serious compatibility issues with the Vista operating system on Windows.

Grades and Requirements

Grading is a necessary part of what we do and it is my intention to base grades on performance in meeting the requirements of the course. This performance includes the following:

1. Attendance

2. Participation

on the computer

working with others

class discussions

investigations

3. Write-ups

4. Final Projects

I think # 1 and # 2 are rather obvious. We will have repeated opportunities to discuss #3 and # 4. But for the terminally anxious. . .

A. There will be 13Assignments. These are guides or suggestions for explorations and participation arranged around a variety of topics. There will be a "Write-up" for each assignments except Assignment 0.

No. You do not need to "hand in" each assignment. You do not even have to do them. It is hard to imagine how you could benefit from the class if you avoid them. . . .

B. Each person will develop a personal Web Page for the course.

C. There will be a set of "Write-up" projects. These are the "homework" for the course. The Write-ups will be prepared as an HTML documents (i.e. a Web Page document) and linked to your personal web page.

D. The Final Projects are in lieu of a final examination, will take considerably longer than an examination, and is due on the day of our scheduled final examination.

E.What is a WRITE-UP?

The University of Georgia seeks to promote and ensure academic honesty and personal integrity among students and other members of the University Community. A policy on academic honesty has been developed to serve these goals. All members of the academic community are responsible for knowing the policy and procedures on academic honesty.

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