Week+2

=Week 2: Posing and Solving Problems=

toc The topic of this week is: Problems. In particular, we will discuss the difference between problems and other entities - exercises, explorations, definitions, conjectures and so on.

The main technology tools this week are Diigo, screencasts, forums, blogs, email groups, live webinars, online videos and wikis.
 * The objectives** of Week 2 are to define main entities constituting mathematics, to plan for student problem-posing, to understand the differences between problems and other entities, to list criteria of problem solving, evaluate given material's potential to promote problem solving, and to find problem-solving resources by topic.

Audio Introduction
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The class live meetings happen three times a week, one of them required, the other two recommended for doing weekly tasks together. During these times, we will meet in [|the virtual room (Wimba)] . You are welcome to invite colleagues and friends to this open room, if they are interested in participating. You can also use the room for class collaboration outside of these hours.


 * Monday July 19th 7-8pm** community study and Q&A hour
 * Wednesday July 21st 8-9pm** weekly class discussion
 * Friday July 23rd 8-9am** community study and Q&A hour

There are ten required tasks, one of them revisiting last week's content, and two bonus tasks.

Musical Interlude
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Task Grids
. Install [|Jing]. Use it to record a short opinion piece on Dan Meyer's video on "being less helpful" with math problems, [|which you can find on TED site]. Link your screencast in this grid.
 * || **2-1**

You may need to create an account on [] first.

[|"Jing - the missing manual"] how-to.

If you have another screencasting tool you like, you can use that. The goal is to make screencasts. || **2-4** Reply to [|any thread tagged WCYDWT] on Dan Meyer's (whom you met in task 2.1) blog or [|a WCYDWT discussion anywhere else]. You can reply to the post itself, or to any of the comments.

The blog is a meeting place of many math teachers - a good place for us to be! Link to the thread where you reply and let us know the comment's number. When replying to a comment, start with @commentername //Bonus task: reply to a comment by one of class members.// || **2-5** On your blog, write a review of an article or a book chapter on mathematical problem solving you read this week. You can select articles using [|Google Scholar]. Some articles will be online and others on paper. The goal of the review is for other teachers to get the gist of the article for use in their work, as well as your evaluation of the contents. Consider Polya's "[|How to Solve it]" as a possibility. || comment #74 || http://gk1as.wordpress.com/2010/07/22/arts-connected…erdisciplinary/ || __/t/N2QyZTY0YTIt__ || [] comments #58,60 || [] || [|Doug's Reply] Comment #62 || [|Problem Solving Article Review] || My comment posted at my personal blog. || Done [] || .
 * GraceA || [] || []
 * MariaD || done || [] comment #17 ||  ||
 * KateG || http://screencast.com/t/MjhkMmI4OTE || http://blog.mrmeyer.com/?p=6870&cpage=1#comment-262930 comment #24 || http://ktgee24.wordpress.com/2010/07/24/mathematical-problem-solving/ ||
 * aheleniak || http://www.screencast.com/t/MjhiOWJjZWUt || http://blog.mrmeyer.com/?p=6850&cpage=2#comment-262858 comment #65 || http://teachy79.wordpress.com/2010/07/22/mathematical-problem-solving-article-review/ ||
 * Peterhorn33 || http://screencast.com/t/Y2I5NTliZj || http://blog.mrmeyer.com/?p=6339#comment-263034 ||  ||
 * EthanL || __www.screencast.com__
 * Paul McDowell || [] || [] || [] ||
 * Sam Morrison || @http://screencast.com/users/semhouston1/folders/Default/media/4d20205a-489b-4124-b597-fd9327214f73 || @https://my.arcadia.edu/webapps/portal/frameset.jsp?tab_id=_2_1&url=%2fwebapps%2fblackboard%2fexecute%2flauncher%3ftype%3dCourse%26id%3d_47961_1%26url%3d ||  ||
 * GRice || [] || [|Gail's Comment] Comment #30 ||  ||
 * Doug Snyder || [|Doug's Screencast] || [|Doug's Comment] Comment #33
 * RStock || [] || [] comment #61 || [] ||
 * Al_J_Williams || http://www.screencast-o-matic.com/watch/c6iY2pjhp || Original post: []

Pick a secondary math topic you like. Make a blog posts with examples of the following content about the topic - the mathematical entities that can be created for it: You can find examples online (give links and briefly describe them and quote) or make up your own. || **2-3** Reply to the email thread, which MariaD has posted to the email group, about the differences between exercises and problems. You can reply to anyone participating, and post as many comments as you feel needed to carry on the discussion.
 * || **2-2**
 * A definition
 * A conjecture with a proof
 * A piece of software. Include a link or a name, and a screenshot. You can use Jing to make the screenshot. Online math software libraries can be found at:
 * [|Illuminations]
 * [|GeoGebra]
 * [|NLVM]
 * [|Cut-the-Knot]
 * [|Math Tools search]
 * Web search for your keyword with the word "applet"
 * A related art or music piece - use your judgment on what is related to your topic
 * A project or an exploration
 * An exercise
 * A problem
 * While it's easy to find exercises anywhere on the web, try this site for problems [|The Art of Problem Solving]

Link to the thread: [] || . post #3 [|The Art of Problem Solving high school forum] is helping people solve problems. Look at a few threads and consider how people are using the forum in their problem-posing and problem-solving. Briefly describe your findings, with links to forum threads as examples, on your blog and provide the link to the post here.
 * GraceA || [|http://gk1as.wordpress.com/2010/08/17/][|quadratic-equations][|/] || done ||
 * MariaD ||  ||   ||
 * KateG || http://ktgee24.wordpress.com/2010/07/25/explore-a-secondary-math-topic-congruent-angles/ || done ||
 * aheleniak || http://teachy79.wordpress.com/2010/07/26/secondary-math-problem-fractions/ || done ||
 * Peterhorn33 || http://peterhorn33.wordpress.com/2010/07/25/2-2-slope-intercept-form/ || done ||
 * EthanL || [] || Done ||
 * Paul McDowell || [] || done - sent via email, having problems getting on mail group ||
 * Sam Morrison || @http://semhouston1.wordpress.com/wp-admin/post.php?post=20&action=edit || Done ||
 * GRice || [] || Done ||
 * Doug Snyder || [|Linear Systems Explored] || Done ||
 * RStock || http://bobbo1.wordpress.com/2010/07/19/exploring-the-…gorean-theorem/ || Done ||
 * Al_J_Williams || [] || Done ||
 * || **2-6**

. //Bonus task: Find someone asking for problem-solving help and help them by leaving a comment; or pose a problem; or offer another representation (graph, table, interactive) for an already-solved problem. You will need to register. Link the thread and what name or alias you used in it.// || **2-7** Join the group Math Links on Diigo.com [] The blue "Join this group" button is on the right. If you do not have a Diigo account, you will be prompted to register (or join using Open ID). Add five links you found useful in this class, so far, to your bookmarks. You may want to watch the [|introductory video] on the front page of the site. Use the tag ED526b for your links, and other tags you find appropriate. Add the link to your profile on Diigo to this task grid || **2-10** Revisit task: Improve the Wikipedia article on Multiple Representations, made from the content you created last week: http://en.wikipedia.org/wiki/Multiple_representations_%28mathematics_education%29

You can edit for grammar and style, turn words into links to Wikipedia articles, add references to more outside sources, add pictures and otherwise make the article better. [|Register at Wikipedia and log in before editing] to track your contributions. You may want to read [|the Wikipedia page on editing pages].

I track sources of ideas back to your blogs and comments in the article draft. You can use it to find "your" parts of the article to start editing. Multiple Representations.

Write a blog post about your Wikipedia experience. You can later edit the post, including updates, if you return to the article to edit it more. || http://bobbo1.wordpress.com/2010/07/22/the-art-of-problem-solving/ Art of Problem Solving link;http://www.artofproblemsolving.com/Forum/viewtopic.php?f=300&t=357511 || [] ||  ||
 * GraceA || [] || [] || [] ||
 * MariaD ||  || [] ||   ||
 * KateG || http://ktgee24.wordpress.com/2010/07/23/the-art-of-problem-solving/ || http://www.diigo.com/profile/kate_gillin || http://ktgee24.wordpress.com/2010/07/24/editing-wikipedia/ ||
 * aheleniak || http://teachy79.wordpress.com/2010/07/24/the-art-of-problem-solving/ || http://www.diigo.com/user/teachy79 || http://teachy79.wordpress.com/2010/07/25/wikipedia-experience/ ||
 * Peterhorn33 || http://peterhorn33.wordpress.com/2010/07/25/assignment-2-6-the-art-of-problem-solving/ || http://www.diigo.com/profile/peterhorn33 || http://peterhorn33.wordpress.com/2010/07/26/2-10-making-the-wiki-a-better-place/ ||
 * EthanL || Post #3[][|http://esivel.wordpress.com/2010/07/21/a-first-impression-of-the-art-of-problem-solving-website/] || [] || [] ||
 * Paul McDowell || [] || [] ||  ||
 * Sam Morrison || [] ||  ||   ||
 * GRice || [] || [] ||  ||
 * Doug Snyder || [|Area of a Circle] || [] || [] ||
 * RStock || Blog Post;
 * Al_J_Williams || Have not yet found one that I can answer or one that hasn't already been answered. || [] || http://ajw0812.wordpress.com/ ||

Attend the live class meeting on Wednesday. //Bonus task: attend community study hours on Monday and/or Friday// || **2-9** Attend one or more of the following live events happening online this week. Follow links for instructions on how to use platforms. You can add other events to this list. They must be free, open to everybody, and recorded.
 * || **2-8**

Say what alias you used to participate, if it's not your name. **Contribute something during the meeting - a question, comments in chat, references.**

Briefly reflect on the event in your blog. Constructive criticism is especially helpful for event organizers. The blog post needs to link to the event's page.

MariaD will add events on Sunday, July 18th - many of them are only announced a few days ahead of time.


 * Math ed events:**
 * #mathchat Twitter event: "Ability ranges in a single class" Monday July 19th, 3:30pm and "What tools do we use to make maths real?" Thursday July 22nd, 7:30pm
 * Math 2.0 weekly webinar: Egyptian Math in-depth Wednesday July 21st 9:30pm
 * [|PBS Cyberchase webinar:] Thursday July 22nd 3:30pm


 * General ed events:**
 * [|Rapid workplace instructional design]. Tuesday July 20th 1pm
 * [|#edchat Twitter event] Tuesday July 20th noon and 7pm
 * [|"It takes a village"] - learning cultures and spaces 7:30pm Thursday July 22nd (the time on the site is Melbourne)
 * [|"Secrets of a buccaneer-scholar"] Tuesday July 20th 8pm
 * [|Jo Hart's edublog unconference] Thursday July 22nd 7pm
 * [|Twiducate webinar] Saturday July 24th noon
 * [|ArtConnected interdisciplinary] tool Tapped In chat Wednesday July 21st 7pm

[] || [] || .
 * Sources of events**
 * http://mathfuture.wikispaces.com/events
 * []
 * []
 * []
 * #mathchat
 * [|#edchat] ||
 * GraceA || attend monday, wednesday and friday class meetings || Math 2.0 weekly webinar: Egyptian Math in-depth Wednesday July 21st 9:30pm * [|ArtConnected interdisciplinary] tool Tapped In chat Wednesday July 21st 7pm ||
 * MariaD ||  ||   ||
 * KateG || Wed and Fri class meetings || did make-up task 3-7 ||
 * aheleniak || Wed class meeting || [|"It takes a village"] - learning cultures and spaces 7:30pm Thursday July 22nd (the time on the site is Melbourne) Response - http://teachy79.wordpress.com/2010/07/23/it-takes-a-village-learning-cultures-and-spaces/ ||
 * Peterhorn33 || Wed class and fri office hours || [|Twiducate webinar] -http://peterhorn33.wordpress.com/2010/07/26/2-9-reflection-on-twiducate-webinar/ ||
 * EthanL || Wed. class || Math 2.0 weekly webinar: Egyptian Math Wednesday July 21st 9:30pm
 * Paul McDowell || attended wed night wimba class || attend prior event: [] ||
 * Sam Morrison ||  ||   ||
 * GRice || Attended Monday and Wednesday sessions || [] ||
 * Doug Snyder || Attended Wed class Meeting || Attempted to attend several events unsuccessfully. Read through mathchat Twitter transcript and then commented on Al Williams' blog: [] ||
 * RStock || attended Monday & Wednesday sessions. || Attempted to attend several events but settled for reviewing the transcript of a mathchat Twitter event;http://bobbo1.wordpress.com/2010/07/23/to-tweet-or-not-to-tweet/ ||
 * Al_J_Williams || done. || "Attended" Tuesday twitter event with comments at my blog.

Task Dependency Map
This map is made with [|Bubbl.us] It shows dependencies of tasks from the above grids. LIVE tasks have particular times.

Voice explanation about tasks:

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