Week+5

= Week 5: Fundamental ideas of geometry =

This week you will design a geometry activity, remix and teach someone else's algebra activity, and discuss the value of programming.

Objectives

 * Design a geometry activity. Remix and teach an algebra activity (both for any level k-20)
 * Continue using past technology; add Scratch
 * Contemplate the role of programming in the learning of mathematics

Introduction
... Fundamental ideas of geometry
 * Induction and deduction
 * Measurement
 * Deductive construction vs. engineering (measurement-based) construction
 * Congruence and similarity, fractal structures
 * Independent (free) and dependent elements of a construction, too much or too little freedom
 * Taxonomies of geometric entities by properties: lines, planes, angles, triangles, quadrilaterals, parts of circles, solids; properties as freedoms/restrictions
 * Transformations: transition, reflection, rotation, dilation; non-shape-preserving transformations (e.g. perspective, fisheye, smallworld).

Task grids
There are 7 tasks this week. As people work on tags, Diigo widgets on this page will fill with links to their results. Meanwhile, they only show the placeholder link to this week's Musical Interlude. Send questions about coursework that you believe are interesting to several people to ed534arcadia@googlegroups.com

Task 5

 * Live task**

[|Full recording of the meeting]
Attend the weekly class meeting on Wednesday at 7:30pm Eastern US time. [|World Clock for other time zones.]

To join the meeting:
 * Follow this link: []
 * Click "OK" and "Accept" several times as your browser installs the software. When you see Elluminate Session Log-In, enter your name and click the "Login" button
 * You will find yourself in a virtual room. There is text chat, voice chat, and other tools. You need a headset to participate.
 * Recording will appear here after the meeting

If you can't make a meeting, review its recording, which will appear on this page after the event, on your blog, adding suggestions, questions and comments. You can use text or an embedded screencast for your review. Add the link to your blog post to this table:
 * //Name// || - || //Your meeting review url// ||

Task 6

 * Live task**

Attend a live event at one of online mathematics education communities. Here are some of the places where you can search for events:
 * Math Future Wednesdays 9:30pm ET or Saturdays 2pm ET (weeks alternate - see the list). Elluminate
 * #mathchat Mondays 3:30pm ET and Thursdays 7pm ET (every week). Twitter
 * [|Scratch] Fourth Monday of each month at 7pm ET. AdobeConnect
 * [|Wolfram Education] (multiple events each week). OnDemand
 * [|TappedIn] (times vary). TappedIn chat rooms

Briefly review the event you attended on your blog. Include the link to the recording of the event in your post. You can use text or an embedded screencast for your review. Add the link to your post to [|the course Diigo group], using the tag **week5event**. Make sure you choose Share to a Group option and select ED534Arcadia group.

media type="custom" key="8069398"

Task 7
If you do this optional task, you can count it toward a missed task for any week of the course.
 * Make-up task**