Department of Mathematics and Computer Science
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Mathematics for Middle School Teachers II
MATH 3262-- (Geometry) * Fall 2005
Linda Crawford, Ph.D.
Allgood Hall N322
Monday & Wednesday
Tuesday & Thursday
Other times by appointment
Course Description: A study of geometric concepts and measurement using nonstandard, English, and metric units. Coordinate geometry, inductive and deductive reasoning, and concepts related to two- and three-dimensional objects including similarity, congruence, and transformations are explored.
Prerequisites: Admission to Teacher Education
The purpose of this course is for you to:
· Develop mathematical content knowledge in the areas of geometry and measurement
· Engage in mathematical investigations to develop your content knowledge
· Become more technology proficient
§ 3-ring binder, dividers, plastic pocket sheets, set of colored pencils
§ You will be provided with scissors, ruler, protractor, and compass for classroom use. You will need to have your own supplies for out-of-class use.
§ You will need access to Geometer’s Sketchpad. On campus you will find this program in the Mathematics and Computer Science folder of the Campus Software folder. I recommend that you purchase the student edition of GSP to install on your personal computer. It can be ordered from Key Curriculum Press at www.keypress.com. (There may be several copies for purchase in the ASU bookstore.)
§ TI-83 or TI-84 graphing calculator
· Reflective Journal: A component of effective teaching is reflection on practice. The NCTM Principles and Standards for School Mathematics stress that teachers must have opportunities to reflect on and refine instructional practice –during class and outside class, alone and with others. As a part of this course, you are expected to maintain a reflective journal. This journal is a log of your experiences within the course. It should include thoughts about new skills and accomplishments that you acquire; critical incidents that occur; and your thoughts and feelings about content (mathematics/geometry investigations) and technology. Please see me if you are having difficulty keeping a journal so that I can make some suggestions.
Please write the date prior to each entry. You may type or write in long hand (as long as it is neatly done). Do not write on the back. Keep your journal in a folder with a 3-hole punch. These will be collected every 2 weeks for me to see the progress you are making. I will read them and make comments but no grade will be assigned. You will receive credit for the assignment if you submit the journal when it is due and if you submit an entry that shows you are reflecting on your experiences.
· Electronic Portfolio of Write-ups: Each person will develop a personal Web Page for the course. There will be a set of at least 10 "Write-up" projects. Each Write-up will be prepared as an HTML document (i.e. a Web Page document) and linked to your personal web page.
What is a write-up?
The "write-ups" represent your synthesis and presentation of a mathematics investigation you have done --usually under the direction of one of the assignments. The major point is that it convincingly communicates what you have found to be important from the investigation. A write-up should communicate the essential material you have synthesized from your investigation. The format could be entirely in a word-processing document. After all, an HTML document is basically a word processing document with links. The HTML format, however, can combine narrative, pictures, and program applications in a dynamic document. Write-ups should be posted to your personal Web Page. If you work with a classmate on an investigation, you should still do your own write-up so that you explain your thinking and what you learned. You should also acknowledge the collaborative effort. Criteria for assessment will include correct mathematics and how well you communicate. "Solution" might be another word for "Write-up."
Click here to see a template for write-ups.
· Reaction papers: You will have 4 one to two page reaction papers to write. The papers will be your reaction to articles you will read related to teaching and learning geometry in the middle school. The Rubric for Reaction Papers will be used to evaluate your writing.
· Working Portfolio/Notebook: You should organize all materials (handouts, classnotes, homework, readings, writings, tests) in a 3-ring binder, writing the date on each. This notebook will be a record of your work in the course and will also serve as a tool for reflection. You will need this notebook to help you prepare for tests and to help you develop your final reflective portfolio. It will also be a valuable resource to you when you begin teaching.
· Final Reflective Portfolio: This assignment is designed for you to reflect over the activities of the course to determine what kind and how much progress you have made in your understanding of geometry concepts so that you will be able to teach geometry meaningfully to middle school students. The directions for this assignment will be given later. For now, you need to be sure you are keeping a well-organized notebook.
Directions for uploading files to InterMath web server
How to put documents into your folder:
2. Enter your username and password
3. Open the ASU-geo-fall05 folder.
4. Open your folder.
5. Click “browse” under Upload Files.
6. Find the document you want to copy (upload).
7. Click open.
8. Click upload.
9. Your web-page will be:
** name is first initial plus last name, e.g. Linda Crawford “lcrawford”
Daily class participation
Other written or presented assignments
Write-ups posted to webpage
You are encouraged to join the following professional organizations:
· Georgia Council of Teachers of Mathematics (GCTM) at www.gctm.org (this membership is free so I will see that you join this organization)
· National Council of Teachers of Mathematics (NCTM) at www.nctm.org ($38 student membership includes your choice of journal—Mathematics Teaching in the Middle School is recommended for middle grades teachers.)
to Geometer's Sketchpad
Tutorial on Geometer's Sketchpad from Annenberg/CPB Learner.org. This web site gives instruction on creating constructions for various objects.
Basic Skills with GSP
Downloadable GSP-based tutorials that introduces the user to basic and common features of GSP. This is an interactive tutorial.
The Virtual Institute
Two page tutorials on GSP basics.
Some more useful websites
National Council of Teachers of Mathematics www.nctm.org
Georgia Council of Teachers of Mathematics www.gctm.org
Georgia Performance Standards http://www.georgiastandards.org
Key Curriculum Press (Geometer’s Sketchpad and patty paper) http://www.keypress.com
National Library of Virtual Manipulatives for Interactive Mathematics - www.matti.usu.edu
Math Archives – http://archives.math.utk.edu/
The Math Forum – http://mathforum.org/
Math Cove (has transformations activity) - www.utc.edu/~cpmawata
Helping Your Child Learn Math - www.ed.gov/pubs/parents/Math
Project Interactivate - www.shodor.org/interactivate
· Oct 13 Midterm date
· Sept 5, Nov 23-25 Student holidays
· Oct 20-22 GCTM conference at Rock Eagle (You can preregister online for $5 at www.gctm.org. The deadline for preregistration is October 1.)
· Dec 8 Last day of class
· Tues, Dec 13, 3:30-5:30 PM Final exam