Instructor: Professor John Olive Office 105F, Aderhold 706  542  4557 jolive@coe.uga.edu
Tuesdays 1:00pm  3:00pm (105F)
Thursdays 1:00pm  3:00pm (105F)
.....Or by appointment....or drop in if I'm in my office.
Click here for a schedule of 111/113 hours
1  2  3  4  5  6  7  8  9  10 

11  12  13  14  15  16  17  18  19  
21  22  23  24  26  28  29  30  




Read pages 124 in the Cooney book. Respond to Reflective problem #1 (parts 1 and 2).
Due: 8/22
#2. Journal Entry Number One (10pts)
Click here
Due: 8/27
#3. Prepare for next class discussion (10pts)
Read Chapter 1 and 2 of the Principles and Standards for School Mathematics
and also look through the Content Standards for Number and Operations, Algebra, and Statistics for grades 612. Find out what the Process Standards are for these grade spans.
Due: 8/27
#4 . Investigating Integers (10pts)
Explore the difference of two integers using the GSP4 sketch "Subtract Integers.gsp" in the 3500 folder on my Hard drive (or from the Exploring Algebra (EA) CD if you have it). Reflect on your exploration (did it help you to understand operations on integers?). Writeup your responses to questions 810 on p. 8 of EA.
Due: 8/27
#5. Fun with Multiplication: (10pts)
Do the four explorations with "Mystery Machines.gsp" in the Exploring Algebra folder on my Hard Drive (or CD) listed on p. 15 of EA. Choose one of these explorations to write up and hand in.
Note: This assignment involves writing up investigations...for a nice description of a write up , click here. The example that Dr. Jim Wilson was referring to (which I think is really nice and helpful!) can be seen by clicking here.
Due: 8/29
#6. Journal Entry Number Two (10pts)
Click here
Due: 9/03
#7. Readings and Reaction Paper: (20pts)
#1. Borasi, R. (1995). What secondary mathematics students can do. In I. M. Carl (Ed), Prospects for school mathematics. Reston, VA: NCTM.
Click here to read about what a student did do :)
#2. Lappin, G. & Briars, D. (1995). How should mathematics be taught? In I. M. Carl (Ed), Prospects for school mathematics. Reston, VA: NCTM.
Reaction Paper: Please write a 12 page paper in which you react to / reflect on Readings #1 and 2. Borasi focuses on student learning while Lappin and Briars focus on teacher teaching... are they in agreement? do the authors make similar and/or different points? do you agree/disagree with the authors' discussions and suggestions? This paper is not intended to be a summary of the readings (I have read them ~ you may assume this as you write your response). I would like to know what you think about the readings.
Due: 9/03
#8. Mathematical Investigations using Excel (20pts)
1. Create an Excel Spreadsheet to generate Pythagorean triples. Investigate any patterns that emerge in the triples with hypotenuse of 100 or less.
2. Generate a Fibonnaci sequence in the first column using f(0) = 1, f(1) = 1,
f(n) = f(n1) + f(n2) (for n>1)
a. Construct the ratio of each pair of adjacent terms in the Fibonnaci sequence. What happens as n increases? What about the ratio of every second term? etc.
b. Explore sequences where f(0) and f(1) are some arbitrary integers other than 1. If f(0)=1 and f(1) = 3, then your sequence is a Lucas Sequence. Investigate the limit of the ratio of successive terms. What do you notice?
You may do your writeup in PageMill, Word, or Excel.
Due: 9/5
#9. Journal Entry Number Three (10pts)
Click here
Due: 9/10
#10. Data Investigations (1530pts)
Complete Activity 2.1 in the Topic 2 handout from Workshop Statistics using the class scrabble data rather than the names of statisticians.
For a bonus of 15 points you can complete the three homework activities in your handout for Topic 2 (pp. 3637) from Workshop Statistics
Due: 9/10
#11. Planetary Measurements
(15pts)
Do the first Homework activity from p.84, Topic 4 from Workshop Statistics (Activity 45)
Due: 9/12
#12. Journal Entry Number Four (10pts)
Click here
Due: 9/17
For Tuesday 9/24  please come to class with a scatter plot of each data set from your lab experiments 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.
This assignment has been cancelled.
#15. Approximating Best Fit Lines ~ (15pts)
This assignment is a follow up from our class discussion/activities on 926. Using your Pennies set of data and the line of best fit that you approximated with GSP, calculate the signed deviation ( Collected  Predicted ) and absolute deviation Collected  Predicted  of each collected data point from the predicted value given by the line of best fit. Use the table below as a guide to calculate the different measures of error in your data.
Collected Independent Values Collected Dependent Values Predicted
Dependent Values
(using your suggested best fit line)Signed Error:
Sum of signed deviationsAbsolute Error: Sum of Absolute deviations 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, or the sum of the squared deviations? The following is a sketch that I created; it could be helpful in facilitating your thinking. Click here for the gsp sketch.
Write a brief explanation (with examples) for why you would choose to use one of the following methods for calculating the best line of fit for your data: signed deviations, absolute deviations, squared deviations.
Due: 10/01
#16. Reading and Reaction (15pts)
National Council of Teachers of Mathematics. (2000). Standard for grades 9 12: Data analysis and probability (p. 324333). 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 the above reading and what you have learned from the class materials (Topics from Workshop Statistics, Cooney et al), along with your beliefs and experiences to support your rationale... please cite your sources. Consider your audience to be a school board.
Suggested length: 2 pages
Due: 10/03
Inclass test on Reasoning with Data : 10/03 (45pts)
#17. Project Headlight
(15pts)
Build a mathematically acurate model for the light beams emanating from a headlight (parallel beams) using GSP (see p.90 of Exploring Algebra). I should be able to adjust your headlight to redirect the light beam and to make the beam narrower or wider. Send me your GSP file as an attachment via email or link it to your web page (and notify me by email).
Due 10/08
#18. Reading and Reaction Paper (10pts)
Reading:
Dossey, J. (1996). Modeling with Functions. In Cooney, T. J., et. al. (Eds.), Mathematics, Pedagogy, and Secondary Teacher Education. ( only pp. 221253). Portsmouth, VA: Heinemann.
Reaction Paper
Respond to Reflective problem #1 on pps 229  230  note, there are 10 questions listed. Please select any two to write responses to.
Due: 10/10
#19. Composition of Functions Investigation (15pts)
Using the GSP Dynagraphs, investigate the composition of three functions each of which belongs to a different family (e.g, step, quadratic, and trigonometric). Writeup your investigation, highlighting any interesting or surprizing characteristics you discovered for your particular composition.
Due: 10/15
#21. Journal Entry Number Six (10pts)
Click here
Due: 10/15
#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. 254280 ). Portsmouth, VA: Heinemann.
Mathematical Investigations (read all of the problems but complete the following... Again, you may use excel, the TI83, word with equation editor, gsp, pencil and paper, etc... whatever you feel most comfortable with... to writeup this assignment.)
 Page 255  Exploration #6 (parts 1 & 2)
 Page 259  Additional Explorations #8
 Page 264  Exploration #9 (parts 1, 2, and 3)
 Page 266  Additional Explorations #3
 Page 26869  Exploration #11 or #12 (your choice)
Due: 10/17
#23. Reading and Reflection (10pts)
Cooney, T. (1996). Developing a topic across the curriculum: Functions . In Cooney, T. J., et. al. (Eds.), Mathematics, Pedagogy, and Secondary Teacher Education. (pp. 2743). Portsmouth, VA: Heinemann.
Page 29  Reflective Problem 1 . Bring your assigned points to class for the discussion.
Due: 10/22
#24. Mathematical Investigations (15pts)
Mathematical Investigations (read all of the problems but complete the following... Again, you may use Excel, the TI83, word with equation editor, GSP, pencil and paper, etc... whatever you feel most comfortable with... to writeup this assignment.)
 Page 40  Exploration 1
 Page 4243  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 15 points for this assignment)
Due 10/29
#25. Journal Entry Number Seven
Cancelled
#26. 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. 4669). Portsmouth, VA: Heinemann.
Mathematical Investigations (read all of the problems but complete the following... Again, you may use excel, the TI83, word with equation editor, gsp, pencil and paper, etc... whatever you feel most comfortable with... to writeup 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, 6
Due: 11/5
#28. Reading and Mathematical Investigations (15pts)
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. 7096). Portsmouth, VA: Heinemann.
Mathematical Investigations (read all of the problems but complete the following... Again, you may use excel, the TI83, word with equation editor, GSP, pencil and paper, etc... whatever you feel most comfortable with... to writeup 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: 11/12
#29. History of Functions Reading
(10pts)
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 11/14
Click here to download this paper as a word document
Click here
Due: 11/26
#31. Investigating the Derivative (15pts)
Challenge problem on secant line of a quadratic from page 7 of handout titled " Chapter 11: The Dynamic Geometry of Calculus"
Due: 11/26
#32. Journal Entry Number Nine (10pts)
Click here
Due: 12/03
#34. Journal Entry Number Ten (10pts)
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Due: 12/05
Click here for details on this final assignment
Due: 12/13