Activities & Assignments
MathEd 308: Teaching Mathematics with Technology
Winter Semester 2009
(last updated 4/2/09)

MathEd 308 | Keith Leatham's Home Page | Department of Mathematics Education | Brigham Young University


Date
Today's Activities and Assignments
Assignments Due (Last Day)
Wednesday
April 22

Final Exam (7am - 10am)

Tuesday
Apr. 14
Activities

Interactive Spreadsheets
Thursday
Apr. 9
Activities

Square Root Algortithm
Tuesday
Apr. 7
Activities
Discuss Interactive Spreadsheets
have read the Stohl article
Thursday
Apr. 2
Activities
Multiple Problems with Multiple Representations
     Equation Forms
The Fibbonacci Coed

Assignments
Interactive Spreadsheets

Tuesday
Mar. 31
Activities
Algorithmic Follow-up
Multiple Representations

Assignments
Be Foxy (as opposed to Hedge-Hoggy)
Nature of Technology
Thursday
Mar. 26
Activities
Adventures in Algorithms
Assignments
Square Root Algortithm
Triangle in a Quadrilateral
Tuesday
Mar. 24
Activities
Finish Fun with Auto Fill
Discuss
Nature of Technology
Assignments
Be Kind
Sketchpad LessonLink Review
read Leatham article
Thursday
Mar. 19
Activities
Spreadsheets!
Guess My Function
Fun with Auto Fill

Assignments
Be Happy

Tuesday
Mar. 17
Activities
Discuss Tool Proofs
Tranformations in GSP (compositions)
Assignments
Nature of Technology

Thursday
Mar. 12
Activities
Quadrilaterals
Assignments
Triangle in a Quadrilateral

Tuesday
Mar. 10
Activities
Sine Wave Tracker
Assignments
Sketchpad LessonLink Review

Thursday
Mar. 5
Activities
Interesting Mathematics from Parabola Paradise

Tuesday
Mar. 3
Activities
Class Action GSP
Parabola Paradise
Thursday
Feb. 26
Activities
More fun with Pythagorus
Discuss some GSP whistles and bells
Assignments
Tool Proofs
Square or Not?
Tuesday
Feb. 24
Activities
Discuss Midterm
Some fun with Pythagorus


Monday
Feb. 23


Midterm
Thursday
Feb. 19
Activities
Discuss Square or Not?
Discuss GSP Tools (download Tools Discussion)
Discuss some GSP whistles and bells
Assignments
Midterm
read Scher chapter
Tuesday
Feb. 17

No Class (Monday Instruction)
GSP Tools
Thursday
Feb. 12

Activities
More conics
Assignments
Square or Not?

Tuesday
Feb. 10

Activities
Conics
Assignments
Parabola Paradise
Calculator Meaning
Thursday
Feb. 5
No Class (Orlando calls)
Calculator Considerations
Tuesday
Feb. 3
Activities
Discuss Calculator Meaning
View video clip
Introducing Geometer's Sketchpad
Assignments
GSP Tools
Pre-Algebra Web Resources
Thursday
Jan. 29
Activities
Continue to consider Calculator Considerations
Exploring mathematics with calculators
Assignments
Calculator Meaning

Tuesday
Jan. 27
Activities
Debrief Pour Favor
Consider Calculator Considerations
Exploring mathematics with calculators


Friday
Jan. 23

Illuminations
Thursday
Jan. 22
Activities
Evaluating Internet Resources (continued)
Assignments
Calculator Considerations
Pour Favor
Tuesday
Jan. 20
Activities
Evaluating Internet Resources
Assignments
Pre-Algebra Web Resources
Home Page
Thursday
Jan. 15
Activities
Discuss Illuminations
Explorations on a Virtual Circular Geoboard

Virtual Reflection
Tuesday
Jan. 13
Activities
A bit more diffy
About Writeups
The Assignment
Writing to Learn Mathematics Education
Tricks of the Trade
Assignments
Illuminations

Thursday
Jan. 8

Activities
VM exploration
Discuss Virtual Reflection
Site-seeing
Affordances & Constraints

Assignments
Pour Favor

Tuesday
Jan. 6
Activities
Discuss course
Introductions
  1. Something to help us remember your name
  2. A belief you have about teaching and learning mathematics with technology
Assignments
Home Page
Virtual Reflection


Interactive Spreadsheets: Last day to turn in: Tuesday, 4/14/09

For Tuesday, April 7, read "Teaching and Learning Mathematics with Interactive Spreadsheets" by Stohl. Check out several of the referenced spreadsheets at the Microsoft Excel Interactive Projects website. Come to class prepared to share your questions and comments. Create a web page that synthesizes your reflections on the reading, several of the actual Excel documents from the website, and the class discussion.


Square Root Algorithm: Last day to turn in: Thursday, 4/9/09
Create a spreadsheet wherein one can compute the square root of a number out to more (at least 10 more) than the 15 significant digits Excel's "SQRT" function yields. Use comment boxes and text boxes to do a writeup within the spreadsheet wherein you explain your process of developing the spreadsheet. In addition to creating a working algorithm, explore the use of formatting and style within the spreadsheet in order to make the spreadsheet look "nice". Remember at the end to write a brief paragraph in which you discuss mathematical and pedagogical issues connected with your exploration.
Nature of Technology: Last day to turn in: Tuesday, 3/31/09

For Tuesday, March 24, read "Preservice Secondary Mathematics Teachers' Beliefs about the Nature of Technology in the Classroom" by Leatham. Come to class prepared to share your questions and comments. Create a web page that synthesizes your reflections on the reading as well as the class discussion.


Triangle in a Quadrilateral: Last day to turn in: Thursday, 3/26/09
Create a GSP document in which you explore Triangle in a Quadrilateral. Use GSP to illustrate and help others to make sense of your solution. In addition to the given extension, consider how your answer changes if quadrilateral ABCD has length to width in the ratio of a : b. Remember at the end to write a brief paragraph in which you discuss mathematical and pedagogical issues connected with your exploration.

Sketchpad LessonLink Review: Last day to turn in: Tuesday, 3/24/09
First off, sign up for a free 30-day trial of Sketchpad LessonLink (click on Preview). Explore the website a bit and choose one lesson that you want to explore in more depth. Work through the lesson yourself. Create a webpage where you review both Sketchpad LessonLink as well as the lesson you chose. Include the following substantive sections in your review: 1) A review of the website Sketchpad LessonLink according the the review criteria we created for our Pre-Algebra Web Resources; 2) An overview/summary of the lesson, including its accompanying materials; 3) A discussion of the strengths and weaknesses of the task and the mathematics of the task; 4) A discussion of the strengths and weaknesses of the actual lesson plan and any accompanying student worksheets or GSP sketches. Think of this assignment as something of a hybrid reflection paper assignment.

Tool Proofs: Last day to turn in: Thursday, 3/12/09
Creat a GSP document (and make it available for download from your web site) wherein you take advantage of GSP in order to dynamically illustrate (i.e., explain, walk the reader through) the proof of your "segment trisection" and "regular pentagon" tool constructions. You should take advantage of a variety of functionalities such as textboxes, animation and link buttons, and multiple pages within a single document.

Square or Not?: Last day to turn in: Thursday, 2/26/09

For Thursday, February 19, read "Square or Not? Assessing Constructions in an Interactive Geometry Software Environment" by Daniel Scher. Come to class prepared to share your questions and comments. Create a web page that synthesizes your reflections on the reading as well as the class discussion.


Parabola Paradise: Last day to turn in: Tuesday, 3/3/09

Create a GSP document (and make it available for download from your web site) wherein you dynamically represent both the geometric and the analytic geometry definitions of a parabola. Then writeup (still in GSP) your exploration of the following ideas:


GSP Tools: Last day to turn in: Tuesday, 2/17/09

Create a library of GSP custom tools and make it available for download from your web site. (There is no need to create a separate webpage for this assignment.) Your tools need to be Euclidean constructed (no use of measurements or transformations here). In addition, all of the givens for your tools should be independent of each other. Somtimes this restriction may require you to construct objects that are separate from the final tool. Your library should contain at least 10 tools including the following:

Isosceles triangle
Square given the diagonal

Trisection of a segment
Regular Pentagon
Parallelogram given ______________ (you decide on a set of minimal givens that will define a unique parallelogram)
Nine Point Circle


Calculator Meaning: Last day to turn in: Tuesday, 2/10/09

For Tuesday, February 3, read "Creating Meaning for and with the Graphing Calculator" by Doerr and Zangor. Come to class prepared to share your questions and comments. Create a web page that synthesizes your reflections on the reading as well as the class discussion.


Calculator Considerations: Last day to turn in: Thursday, 2/5/09
For Tuesday, January 27, read "Making Calculator use Add Up" by Lee V. Stiff, a past president of NCTM, and "The Role of Graphing Calculators in Mathematics Reform" by Bert K. Waits and Frank Demana. (Freak not out--both of these articles are quite short.) Come to class prepared to share your questions and comments. Create a web page that synthesizes your reflections on the readings as well as the class discussion.
Pre-Algebra Web Resources: Last day to turn in: Tuesday, 2/3/09

As a class we are creating an online collection of resources for Pre-Algebra. This Pre-Algebra Web Resources page will be organized around 20 main topics from the standard Pre-algebra curriculum as outlined in the Utah Secondary Mathematics Core Curriculum. Your task is to collect at least 12 resources (to be delineated according to our class discussion) for your assigned topic and to evaluate them according to the evaluation criteria we developed in class. For each resource provide a brief description of the site and a brief evaluation of how well the site meets our evaluation criteria. Once you send me a link to your page I will link your page to our Pre-Algebra Web Resources page. In the end, we'll have a nice, usable resource.


Illuminations: Last day to turn in: Friday, 1/23/09
For Thursday, January 15, read "Using the Internet to Illuminate NCTM's Principles and Standards for School Mathematics" by Hart et al.. Come to class prepared to share your questions and comments. Create a web page that synthesizes your reflections on the reading as well as the class discussion. (For more detail on what is expected in an article reflection see Article Reflections.)

Pour Favor: Last day to turn in: Thursday, 1/22/09

Explore the VM Fill and Pour. Once you have carried out the exploration create a web page that presents and illustrates your solutions to several of the problems and your answers to the following questions:

1) Assuming that a problem is solveable, describe a generalized strategy for solving the problem.
2) How can you tell whether a problem is solvable or not? Provide explanation and justification for your response.
Finish up your writeup with a pedagogical paragraph, where you talk about the fundamental mathematical concepts this VM might allow students to learn. (Follow this link for more detail on what is expected in a writeup.)


Virtual Reflection: Last day to turn in: Thursday, 1/15/09

For Thursday, January 8, read "What are Virtual Manipulatives" by Moyer, Bolyard and Spikell. Come to class prepared to share your questions and comments. Create a web page that synthesizes your reflections on the reading as well as the class discussion. (For more detail on what is expected in an article reflection see Article Reflections.)
Home Page: Last day to turn in: Tuesday, 1/20/09
Create your own home page for this class. Your page should include, at the very least, each of the following: Your web site will continue to change and grow throughout the semester, so take time now to consider organization that will facilitate that growth.

MathEd 308 | Keith Leatham's Home Page | Department of Mathematics Education | Brigham Young University