Assignments
MathEd 308: Teaching Mathematics with Technology
Fall Semester 2003

Current Classes | Keith Leatham's Home Page | Department of Mathematics Education | Brigham Young University


Assignment 17 (Monday, 12/01/03) Last day to turn in: Wednesday, 12/17/03

For Friday, please read "Playing with Computers, Playing with Ideas" by Douglas H. Clements and come to class prepared to discuss it. As usual, your assignment is to send me a reflection email in which you relate some of the main ideas you gained from our class discussion and other thoughts you had on the article and our discussion. We will hold class in TMCB 173 on Friday, Dec. 5.
Assignment 16 (Wednesday, 11/19/03) Last day to turn in: Wednesday, 12/17/03

For Friday, please read "Calculators in Mathematics Teaching and Learning: Past, Present, and Future" by Bert K. Waits and Franklin Demana and come to class prepared to discuss it. As usual, your assignment is to send me a reflection email in which you relate some of the main ideas you gained from our class discussion and other thoughts you had on the article and our discussion. We will hold class in TMCB 173 on Friday, Nov. 21.

Assignment 15 (Monday, 11/17/03) Last day to turn in: Wednesday, 12/17/03

Use the technology we have discussed over the course of this semester in order to explore the problems below. Choose one of them for your writeup. Create a web page that effectively pulls together your exploration. I will be looking for quality in communication, organization, and mathematical reasoning. I will also be looking at how effectively you take advantage of the technology we have learned to use this semester.

Straw Triangles

Pool, Anyone?
Sausage Triangles
Penny Therapy

Assignment 14 (Friday, 11/14/03) Last day to turn in: Wednesday, 12/17/03

Revisit your home page for this class. In part, I will reevaluate your web page based on the web page criteria you developed and used when you developed your mathematical resource web site. Here are some questions to help guide your thinking:

Assignment 13 (Monday, 11/10/03) Last day to turn in: Friday, 12/12/03

Create a Fathom document (downloadable from your web site) in which you illustrate, explore, and solve the following problem (often referred to as the Monty Hall Problem):

You are on the game show "Let's make a deal". The host (Monty Hall) shows you three doors and tells you there is a Ferrari behind one of the doors and nothing behind the other two. All you have to do is choose the door with the Ferrari behind it and it is yours. You choose door number 1. Monty has his assistant open door number 2... and there is nothing there. Then Monty gives you a choice: You can stick with your original choice of door number 1 OR you can now switch to door number 3. What should you do (assuming you want to win the Ferrari)?

Assignment 12 (Wednesday, 11/5/03) Last day to turn in: Monday, 12/08/03

Choose a collection of US census data from those provided in Fathom's sample documents and use Fathom to explore the data. Create a Fathom document (and make it available from you web site) that demonstrates the dynamic representational power of Fathom. Writeup your exploration of the following questions:
As an extension, pose and explore several other questions of this data set.

Assignment 11 (Tuesday, 10/28/03) Last day to turn in: Tuesday, 11/25/03

Search the web for data sets that might be represented (but aren't currently by the web site you find) by each of the following families of functions: linear, quadratic, exponential, and logarithmic (a nice extension would be to find data sets for other families of functions). Create a web page where you briefly discuss these data and illustrate how they are modeled by these functions. As always, you should provide links to the sources of your data.

Choose one of these data sources to explore in depth. Create (and provide a link to) an excel worksheet in which you show and discuss the data in at least three different forms (numeric, algebraic, and graphic). Ask questions of the data and show how you can use the spreadsheet to explore those questions.

Assignment 10 (Monday, 10/20/03) Last day to turn in: Monday, 11/17/03

For Wednesday, please read the article Illustrating the Beats Phenomenon with Excel: The construction of meaning through experimentation by John Baker and come to class prepared to discuss it. You will want to download the associated Excel files to accompany your reading.  In addition, check out the Natural Maths web site. We will spend time on Wednesday discussing the article as well as the content of this web site. Your assignment is to send me a reflection email in which you relate some of the main ideas you gained from our class discussion and other thoughts you had on the article, the web site and our discussion.

Assignment 9 (Friday, 10/17/03) Last day to turn in: Friday, 11/14/03

Create an Excel Spreadsheet (and make it available from the web) that allows you to explore each of these problems. Setup each exploration on a different worksheet within the same Excel Spreadsheet.


1. Create a spreadsheet that converts a temperature in Fahrenheit to the corresponding temperature in Celsius. Now add to it a place where you can convert Celsius to Fahrenheit. Are there temperatures where the Celsius and Fahrenheit temperatures are identical? Are there temperatures where the Celsius and Fahrenheit temperatures are additive inverses?

2. a) Compute the area of a circle given its radius. By entering different values for the radius, determine the radius of a circle that has an area of 50.
    b) Compute the area of a circle given its circumference. What happens to the area of a circle when its circumference is doubled?
    c) Compute the radius of a circle given its area. Can you find an area such that the corresponding radius is 1?

3. Compute the surface area and the volume of a sphere given its radius. Is it possible to find a sphere such that the numerical values of the surface area and of the volume are identical?

Assignment 8 (Friday, 10/10/03) Last day to turn in: Friday, 11/7/03

Create a gsp sketch (and make it available from the web) that takes advantage of the graphing capabilities of GSP in order to dynamically explore the following families of functions:

Quadratic functions
Sine functions
Your choice of a family of functions in polar coordinates

The latter two need only be set up for the exploration. For quadratic functions, you need to carry out the exploration and discuss what you have found.

Assignment 7 (Monday, 10/6/03) Last day to turn in: Monday, 11/3/03

For Wednesday, please read the Technology Principle from the NCTM's Principles and Standards for School Mathematics and come to class prepared to discuss it. Your assignment is to send me a reflection email in which you relate some of the main ideas you gained from our class discussion and other thoughts you had on the article and our discussion. The email need only be two or three paragraphs in length.
Assignment 6 (Wednesday, 10/1/03) Last day to turn in: Wednesday, 10/29/03

Create a GSP document (and make it available from the web) that walks the user through the proofs of 1) your "trisection of a segment" construction and 2) another constructed tool of your choice. You should take advantage of  variation tools such as textboxes, animation buttons, and multiple pages within a single document.

Assignment 5 (Wednesday, 9/24/03) Last day to turn in: Wednesday, 10/22/03

Create a library of GSP custom tools and make it available for download from your web site. Your tools need to be Euclidean constructed (no measuring or transforming). Your library should contain at least 10 tools including the following:

Nine Point Circle
Square given the diagonal
Trisection of a segment
Regular Hexagon
Parallelogram given ______________ (you decide on a set of minimal givens that will define a parallelogram)

Assignment 4 (Wednesday, 9/17/03) Last day to turn in: Wednesday, 10/15/03

For Friday, please read the article Teaching with Technology: Dynamic Visualization and Proof: A New Approach to a Classic Problem and come to class prepared to discuss it. Your assignment is to send me a reflection email in which you relate some of the main ideas you gained from our class discussion and other thoughts you had on the article and our discussion. The email need only be two or three paragraphs in length.

Assignment 3 (Friday, 9/12/03) Last day to turn in: Friday, 10/10/03

Explore each of the 11 situations found at Jim Wilson's Explorations with Geometer's Sketchpad web site. Then choose one of these explorations for your writeup. Remember, in addition to creating a web page that describes your exploration of this problem, your writeup should also include some sort of extension to the original problem.
Assignment 2 (Friday, 9/5/03) Last day to turn in: Friday, 10/3/03

Create a group with 1 or 2 other students from class. Together you are going to design an online mathematics resource page for a particular mathematics course (or topic) of your choosing. Although this is a fairly open-ended assignment, here are a few guidelines and suggestions as to how I initially envision this going:

    Guidelines:
    Suggestions:

Assignment 1 (Wednesday, 9/3/03) Last day to turn in: Wednesday, 10/1/03

Create your own home page for this class. Your page should include, at the very least, each of the following:

You are welcome to dress this page up as much or as little as you like. It will continue to change throughout the course.

Current Classes | Keith Leatham's Home Page | Department of Mathematics Education | Brigham Young University