In this task, you search for a video (Part 2) and an interactive (Part 3) related to a math problem or exercise (Part 1). It may be easier to start from Part 3, because there are more many more videos than there are interactives, and you can do Part 1 for pretty much any problem.

Part 1

Use Wolfram|Alpha to pose and solve some math problems or exercises. Then copy the url of one of your solution and share it here. For example, here is the solution to a system of two equations: http://www.wolframalpha.com/input/?i=2x%2B3y%3D8%2C+7x%5E2-y%3D5

You may need to search the web for the syntax of Wolfram|Alpha, using multiple search words such as "Wolfram Alpha trigonometry" or "Wolfram Alpha limits." Or you can start by exploring excellent examples the site provides: http://www.wolframalpha.com/examples/

Part 2

Find a decent YouTube, TeacherTube or Vimeo video about the type of math problem or exercise you shared. Say a couple of words about what you like about the video, in a comment on the video if they are allowed: authors need to be encouraged. You may need to create an account to leave comments. Copy your comment here too.

Part 3

Find a math game, a virtual manipulative or some other interactive about your problem or exercise. Briefly explain what you like about it. Again, if comments are available, leave a comment for the author of the interactive to see.

Part 3

Pose a higher-order, deeper question about this same type of math problems or exercises. For example, here are somewhat deeper questions about systems of polynomial (just x's, y's and their powers) equations with two variables that I used in Part 1:

• How many solutions can the system have?
• Most linear systems (just x's and y's without powers) have one solution, but some have none. How can you make linear systems with no solutions?
• How can you make systems that have "nice" (small whole number) solutions, like most textbook exercises have? Where and how do textbook folks get their examples?

Part 4

Briefly explain how you would help students explore your deeper question using technology. Would it be helpful for them to use solvers like Wolfram|Alpha, or programming environments like GeoGebra and Scratch, or videos, or interactives? When and how would you recommend your students to use these different types of tech?

Part 5

Conrad Wolfram, the more ed-oriented of the two Wolfram brothers, leads ongoing discussions about computer-based math, contrasting it with computer-delivered math. Use examples from Parts 1-4 to compare and contrast computer-based and computer-delivered math. For example, would you use one or the other to start a new topic?