EMAT 3500
Secondary School Mathematics Curriculum
Fall 2001

Instructor: Miss Lisa Sheehy Office 105D, Aderhold  706 - 542 - 4573 lsheehy@coe.uga.edu homepage


Office Hours | Syllabus | Assignments | Student Pages | Links


Office Hours:

Tuesdays 7:00 - 8:00am & 12:00am - 1:00pm (105D)

Wednesdays 3:30 - 4:30 (Lab)

Thursdays 7:00 - 8:00am & 12:00am - 1:00pm (105D)

.....Or by appointment....or drop in if I'm in my office.

Click here for a schedule of 111/113 hours


Syllabus:

Click here to view the syllabus


Assignments:

 1  2 3    4 5    6   7   8    9 10  
 11   12  13 14  15  16  17  18  19  20
 21   22  23 24  25 26  27   28 29  30 

 31
 32  33  34  35          


#11. Readings and Reaction (20pts)

#1. Maher, C. A. (1981). Simple graphical techniques for examining data generated by classroom activities . In Shulte, A. P. & Smart, J. R. (Eds.), Teaching statistics and probability. (pp. 109-117). Reston, VA: National Council of Teachers of Mathematics.

#2. National Council of Teachers of Mathematics. (1989). Standard 10. In, Curriculum and evaluation standards for school mathematics. Reston VA: Author.

#3. National Council of Teachers of Mathematics. (2000). Standard for grades 9 ? 12: Data analysis and probability (p. 324-333). In, Principles and standards for school mathematics. Reston VA: Author.

Reaction Paper

Write a rationale for including (or not including) statistics in secondary mathematics curriculum. You may use any of the above readings (along with your beliefs and experiences) to support your rationale... please cite your sources. Consider your audience to be a school board.

Suggested length: 3 pages

Due: 9/13


#12. Journal Entry Week Four (10pts)

Click here

Due: 9/18


#13. More Fun with Functions (25pts)

Click here

Due: 9/18


#14. Problem Solving (10pts) ~ In Class Activity scheduled for 9/13

Click here for a list of the "headlines"

You may post one write-up per team

Due: 9/20


#15. Scatter Plots (10pts)

For Thursday 9/20 - please come to class with a scatter plot of each data set printed out along with your actual data sets. It would be a good idea for you to save these files as you will want to go back to them.

Click here for a list of the labs.


#16. Approximating Best Fit Lines ~ (10pts)

This assignment is a follow up from our class discussion/activities on 9-20. Using the starburst set of data and the line of best fit that you approximated in class, calculate the signed error and absolute error for each data point. Use the table below as a guide.

Collected Independent Values

Collected Dependent Values

Predicted Dependent Values (using your suggested best fit line)

Signed Error: (Collected - Predicted)

Absolute Error: Absolute value of (Collected - Predicted)

The more interesting part of this assignment lies in thinking about what these error values tell us about the 'best fit line." How can we know if we have chosen the best fit line? Which is a better predictor, the signed error, the absolute error, the squares of one or both of these errors? The following is a sketch that Dr. Olive and Inchul created as they discussed these same ideas... it could be helpful in facilitating your thinking. Click here for the gsp sketch.

Think about it and be ready to share your ideas in class on Thursday... I won't collect anything but I will be expecting you to participate in a discussion so please be prepared.


#17. Journal Entry Week Five (10pts)

Click here

Due: 9/27


#18. Reading and Reaction Paper (20pts)

Reading:

Dossey, J. (1996). Modeling with Functions. In Cooney, T. J., et. al. (Eds.), Mathematics, Pedagogy, and Secondary Teacher Education. (only pp. 221-253). Portsmouth, VA: Heinemann.

Reaction Paper

Respond to Reflective problem #1 on pps 229 - 230 - note, there are 10 questions listed. Please select any three to write responses to.

Due: 10/4


#19. Charactericistics of Functions Investigation and Presentation (10pts)

In class on 10/2, you and a partner were assigned a function to investigate the characteristics of... you were asked to discuss the characteristics of the function numerically, graphically, and algebraically. Then in class on 10/4, you presented your findings to the class. Please make sure both you and your partner have a copy of this assignment in your folder.


#20. Mathematical Investigations (20pts)

From the Cooney, et. al. - Modeling Functions Chapter

Page 239 - Exploration #1 (parts 1 & 5)
Page 240 - Exploration #2
Page 249 - Additional Explorations #2, 4 (use a regresseion line), 8, 9, 10, 11, 14, 15

You may use excel, the TI-83, word with equation editor, gsp, pencil and paper, etc... whatever you feel most comfortable with... to write-up this assignment.

Due: 10/9


#21. Journal Entry Week Six (10pts)

Click here

Due: 10/9


#22. Reading and Mathematical Investigations (20pts)

Reading:

Dossey, J. (1996). Modeling with Functions. In Cooney, T. J., et. al. (Eds.), Mathematics, Pedagogy, and Secondary Teacher Education. (pp. 254-280). Portsmouth, VA: Heinemann.

Mathematical Investigations (read all of the problems but complete the following... Again, you may use excel, the TI-83, word with equation editor, gsp, pencil and paper, etc... whatever you feel most comfortable with... to write-up this assignment.)

Page 255 - Exploration #6 (parts 1 & 2)
Page 257 - Exploration #7 (parts 1, 3, 4, and 5)
Page 259 - Additional Explorations #8
Page 264 - Exploration #9 (parts 1, 2, and 3)
Page 266 - Additional Explorations #3
Page 268-69 - Exploration #11 or #12 (your choice)
Page 278-79 - Additional Explorations #6, 7, 8, or 9 (you choose one)

Due: 10/11


#23. Quiz (30pts)

The Quiz will assess your knowledge of characteristics of families of functions - Here are 2 possible study resources for you

1. The Presentation that your classmates created - click here

2. Chapters 1 and 2 in LaTorre, D., Kenelly, J., Fetta, I., Harris, C. &Carpenter, L. (1995). Caluclus concepts: An informal approach to the mathematics of change - prelminary edition. Lexington, MA: D. C. Heath and Compnay


#24. Journal Entry Week Seven (10pts)

Click here

Due: 10/30


#25. Reading and Mathematical Investigations (30pts)

Reading:

Cooney, T. (1996). Developing a topic across the curriculum: Functions. In Cooney, T. J., et. al. (Eds.), Mathematics, Pedagogy, and Secondary Teacher Education. (pp. 27-43). Portsmouth, VA: Heinemann.

Mathematical Investigations (read all of the problems but complete the following... Again, you may use excel, the TI-83, word with equation editor, gsp, pencil and paper, etc... whatever you feel most comfortable with... to write-up this assignment.)

Page 29 - Reflective Problem 1
Page 36 - Refelcting on the lesson (choose any 5 of the 13 questions to repsond to briefly)
Page 38 - Reflective Problem 2 (part 1)
Page 40 - Exploration 1
Page 42-43 - Exploration 3 - Create a 7 x 4 matrix and label your column and row headings. Then write ~1 page explanation of the placement of the cells. (This is worth 10 of the 30 points for this assignment)

Due: 11/1 (note: please do the readings before class on 10/30)


#26. Journal Entry Week Eight (10pts)

Click here

Due: 11/6


#27. Bonus (5pts)

In class someone stated the given the function f(x) = ax^2 + bx + c (where a,b,and c are real number constants), that the vertex of the parabola generated by this function woul have as its x-coordinate the value -b/2a. First of all determine if this is a true statement. If not, can you generalize the x-coordinate of the vertex. Then prove WHY this generalization holds true.


#28. Reading and Mathematical Investigations (20pts)

Reading:

Cooney, T. (1996). Developing a topic across the curriculum: Functions. In Cooney, T. J., et. al. (Eds.), Mathematics, Pedagogy, and Secondary Teacher Education. (pp. 46-69). Portsmouth, VA: Heinemann.

Mathematical Investigations (read all of the problems but complete the following... Again, you may use excel, the TI-83, word with equation editor, gsp, pencil and paper, etc... whatever you feel most comfortable with... to write-up this assignment.)

Page 53 - Exploration 4 - # 4
Page 62 - Exploration 6 - # 1 (with an explanation of why you placed yourself where you did)
Page 64 - Exploration 7 - # 2
Page 68 - Exploration 8 - # 2, 3, 5, 6

Due: 11/6


Bonus Assignment (up to 5pts) Read the History of Functions paper (see below). Write a one to two page reaction to this paper. Include in the reaction paper your own ideas about how the concept of function should be presented and addressed in school curriculum.

Due 11/20

Click here to download this paper as a word document


#29. Reading and Mathematical Investigations (10pts)

Reading:

Cooney, T. (1996). Developing a topic across the curriculum: Functions. In Cooney, T. J., et. al. (Eds.), Mathematics, Pedagogy, and Secondary Teacher Education. (pp. 70-96). Portsmouth, VA: Heinemann.

Mathematical Investigations (read all of the problems but complete the following... Again, you may use excel, the TI-83, word with equation editor, gsp, pencil and paper, etc... whatever you feel most comfortable with... to write-up this assignment.)

Page 76 - Exploration 10 - # 1a
Page 78 - Exploration 11 - # 1
Page 83 - Exploration 12 - # 6
Just think about (you don't need to write it up) Page 95 - Exploration 15

Due: 11/13


#30. Investigating Polar Equations (15pts)

Click here for five problems (from Dr. Jim Wilson) in which you are asked to investigate various polar equations and their graphs. Please take time to investigate each problem - you will learn a lot :) Then choose your favorite one problem to write up.

Due: 11/15


#31. Journal Entry Week Nine (10pts)

Click here

Due: 11/13


#32. Send Miss Sheehy an e-mail (10pts)

This is what we talked about in class... send me two - four questions that you have about secondary algebraic topics.

Click here to see the questions that your classmates generated

Due: 11/13


#33. Participation and Attendance in class from 11/13 - 12/11 (40pts)

Each absence = -5 points

Each day of attendance but nonparticipation = up to -8pts


#34. Journal Entry Week Ten (10pts)

Click here

Due: 11/27


#35. Final Project (150pts)

Click here for details on this final assignment

Click here to see the topic each team has chosen

Click here to see the schedule and order of the presentations

Click here to download the grading rubric for the lesson plan

Due: 12/13

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Student Pages and E-mails

 Student Class Pages

 E-mail address

 Phone #
Sara Allen bigsa@hotmail.com  583-8971
Amanda  
Whitney Burton whitB74230@aol.com  559-4604
Rodrigo Camacho rodcam@georgiadogs.com 369-6654
 Lisa Cooner coonerl@yahoo.com  783-3886
 Tracy Coons tcoons@arches.uga.edu  543-0544
 Marissa Henderson marissarissarae@hotmail.com 375-7561
 Meredith Hogue mhogue629@aol.com  208-2934
 Erick Hopkins eths@arches.uga.edu  354-6940
 Katie Knapp katdid_1999@yahoo.com  546-4119
 Leigh Ann Landress lalandress525@aol.com  546-1561
 Maci Meadow macim@arches.uga.edu  543-4251
 Melissa Meadows meese@arches.uga.edu  316-1617
 Jackie Mixon jmmixon@uga.edu  354-0236
 Jessica Nash nashjessica@hotmail.com  354-6754
 Margaret Norton marge@arches.uga.edu  208-9061
 Julie Rawlin jewelrawlin@hotmail.com  353-8061
 Mike Roca mikeroca@arches.uga.edu  357-3513
 Jim Taylor zoopark@bellsouth.net  353-0008
 Kristen Wagner vagner17@hotmail.com  613-5621
 Torian White blessed7@arches.uga.edu  357-1049
 Ashley Wilson anw08@hotmail.com  548-4123

Send an e-mail to the whole class by clicking here
 


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