

The Math Forum @ Drexel: Technology Enhances Problem Solving and Assessment
presented by Suzanne Alejandre & Cynthia Lanius
NCTM 2006 Annual Meeting and Exposition
Asking Questions  Generating Solutions
Session 670 in St. Louis, Missouri
Friday, April 28, 2006, from 1:00 pm to 2:30 pm
America's Center  262 (capacity: 50)
 Introduction
 What is a tPoW?

 Let's do math!
 Balloon Booths  Scale the size of a hot air balloon so you can make it fit through a narrow passage and hit a nail to pop it.
 How might technology enhance or detract from students' mathematical understanding?

 Traffic Jam Activity  Find the fewest number of moves for the ten people to end up on the opposite side from where they started. Kinesthetic experience (people), manipulative (plastic people), technology (Java applet)
 What is the advantage of using one method over another?

 Explore tPoW Selection
 Building a House
 What are the largest number of cubes to make the house? What's the smallest number of cubes?

 Counterfeit Coins
 Find the fewest number of weighings that will identify which of the nine coins is counterfeit.

 Galactic Exchange II
 Using a vending machine (Java applet) determine the relative values of the coins used on the planet Orange.

 How Many Cubes?
 Given the front view and side view of some cubes, students are asked what the larget number of cubes can be used to make the arrangement and what the smallest number of cubes would be.

 Million Penny Project
 Students use a spreadsheet to show when they will have collected their million pennies.

 Miranda and the Rookie
 Use a spreadsheet to compare salaries of the star basketball player and the rookie.

 Munching Bugs
 Use the Sam the Chameleon applet to learn more about the coordinate plane.

 Patio Stones
 How many stones did Kathy need to buy to pave an area in her yard?

 Tangrams
 Use an interactive applet to discover some of the relationships among the pieces in a set of Tangrams.

 Temperature Change
 Use the given information to find the temperature.

 Train Trouble
 How fast is the train moving to allow Herman and Sheila to each escape the tunnel?

 Types of Triangles
 Students use a GSP sketch or an interactive web page to drag and manipulate four triangles. They identify one of each type: scalene, isosceles, equilateral, and right.

 Let's Submit
 Temperature Change submission
 Hints and Answer Checks
 Student Sample Solutions
 Scoring Rubric and Scoring Grid

 Questions for Discussion:
 How engaging are the problems? Are they at the right level of rigor for your students? Will they challenge students? What learning goals will they help achieve?

 How might communication (reading, writing, talking, and explaining) around the problem enhance or detract from students' mathematical understanding?

 What kinds of support will you and your students need to solve the problems and use the technologies effectively? How can we best deliver that support?

 Resources to Browse with Internet Access:
 List of Technology Problems of the Week
 Math Tools
Getting Started
Navigating Math Tools

 Notes of Appreciation
 Thank you to Joel Duffin of the National Library of Virtual Manipulatives (NLVM), Utah State University for his assistance and permission to use the Space Blocks, Coin Problem, Tangrams, Pattern Blocks, and Color Chips Java applets.

 Thank you to the Freudenthal Institute, Utrecht, The Netherlands, for their assistance and permission to use the Building houses with side views Java applet.

 Thank you to George Reese and Pavel Safronov of MSTE, a division of the College of Education at the University of Illinois at UrbanaChampaign, for their assistance and permission to use the Chameleon Java applet.
