Week 1: Multiple Representations... of Us


The topic of this week is Multiple Representations. I can't find a good mathematics education article about the topic on Wikipedia, which is a shame. Based on what we put together this week, we will make a Wikipedia article next week.

The objective of Week 1 is to get to know one another and to start using some of the course's tools and technologies in the context of multiple representations. At the end of the week, class members should be able to name major representations used in secondary mathematics, create several comments and posts about the topic, and participate in online communities where the topic can be discussed.

The main technology tools this week are blogs, email groups, live webinars, online videos and wikis.

Audio Introduction



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 12th 7-8pm community study and Q&A hour
Wednesday July 14th 8-9pm weekly class discussion
Friday July 16th 8-9am community study and Q&A hour

There are nine required tasks and two bonus tasks this week.

Musical Interlude



Task Grids: 9 Tasks Total


Task Grids are the way to report on finishing tasks, and a tool of communication among class members. Once you join this wiki and are approved (task 1-1), you can click EDIT in the top right corner, add your name or alias to the grids, and then add links (urls) of your task items. For items that don't have a url, just write "done."

Tasks 1-1, 1-2 and 1-3


1-1
Join our public wiki (link)
You may need to create a Wikispaces account. You will be prompted to do so.

NEW Step-by-step instructions (thank you, Sam!)
1-2
Join our email group
Email:
Visit this group
Google Groups
Subscribe to ED526B

1-3
After you join the email group and are approved, send your introduction to the group. To do so, email ed526b@googlegroups.com
Write a bit about yourself, professionally and personally. You can also reply to other people's introductions.
MariaD
http://www.wikispaces.com/user/view/MariaDroujkova
done

KateG
http://www.wikispaces.com/user/view/KateGillin
done
done
EthanL
http://www.wikispaces.com/user/view/esivel
done
done
GRice
http://www.wikispaces.com/user/view/GailARice
done
done
Peterhorn33
http://www.wikispaces.com/user/view/Peterhorn33
done
done
RStock
http://www.wikispaces.com/user/view/rpstock
done
done
Al_J_Williams
http://ajlwilliams.wikispaces.com/
done
done
aheleniak
http://www.wikispaces.com/user/view/aheleniak
done
done
Doug Snyder
http://www.wikispaces.com/user/view/doug.snyder
done
done
GraceA
https://www.wikispaces.com/user/my/GASS2
done
done
Paul McDowell
http://www.wikispaces.com/user/my/prm_arcadia
done
done
Sam Morrison
http://sammorrison.wikispaces.com
done
done
Rick Sheffler
http://sheffler3363.wikispaces.com/
done
done



Tasks 1-4 and 1-5


1-4
Make a blog if you do not have one.
Use any service you like. For example, if you use WordPress, click the Sign Up Now button to start. If you already have a blog, you can keep using it for the course work.
1-5
Make a post on your blog.
Name 5 goals of secondary math ed you consider most important. This will help others in the course to get to know you better: next week, people will comment on your post.
Create a visual representation of their relative importance as a pie chart and insert into your blog post. How to insert images into WordPress.
MariaD
http://www.naturalmath.com/blog

KateG
http://ktgee24.wordpress.com/
http://ktgee24.wordpress.com/2010/07/16/hello-world/
EthanL
http://esivel.wordpress.com/
http://esivel.wordpress.com/ed526/
GRice
http://gailly123.wordpress.com/
http://gailly123.wordpress.com/2010/07/17/ed526/
Peterhorn33
http://peterhorn33.wordpress.com/
http://peterhorn33.wordpress.com/2010/07/13/hello-world/
RStock
http://bobbo1.wordpress.com
http://bobbo1.wordpress.com/2010/07/12/five-goals-of-secondary-math-education/
Al_J_Williams
http://ajw0812.wordpress.com
http://ajw0812.wordpress.com/2010/07/15/task-1-5-secondary-math-ed-goals/
aheleniak
http://teachy79.wordpress.com
http://teachy79.wordpress.com/2010/07/14/hello-world/
Doug Snyder
http://snyderdoug.blogspot.com/
http://snyderdoug.blogspot.com/2010/07/math-education-goals.html
GraceA
http://gk1as.wordpress.com
http://gk1as.wordpress.com/2010/07/16/assignment-1-526/
Paul McDowell
http://prmarcadia.wordpress.com/
http://prmarcadia.wordpress.com/2010/07/18/week-1-secondary-math-education-goals/
Sam Morrison
http://semhouston1.wordpress.com
http://semhouston1.wordpress.com/2010/07/18/5-goals-of-secondary-math-education/
Rick Sheffler
http://rsheffler.wordpress.com/
http://rsheffler.wordpress.com/2010/07/17/unit-1-five-goals/




Tasks 1-6 and 1-7


1-6
Find an online source explaining the significance of multiple representations in math ed. Any journal or conference article about multiple representations will probably explain what they are, as well.
Respond to the source, either in comments there (if the source allows comments) or on your blog.
Link to the source and (if separate) your response here.
Here are a few likely places to find this information, though you can look anywhere:
1-7
Find a blog, forum or ning discussion that has to do with multiple representations in mathematics.
Leave a substantial comment, contributing something relevant to the discussion.
You may need to register.
Bonus_task.jpgBonus task: follow links of other class members and reply to one or more of their comments

Here are a few searches that bring relevant results:
MariaD
Source: Multiple representations in GeoGebra
My response:
http://mathematics24x7.ning.com/forum/topics/multiple-representations (requires sign-in, but this ning is worth it)
Peterhorn33
Source: http://eric.ed.gov/ERICWebPortal/search/detailmini.jsp?_nfpb=true&_&ERICExtSearch_SearchValue_0=ED413184&ERICExtSearch_SearchType_0=no&accno=ED413184
My Response:http://peterhorn33.wordpress.com/2010/07/13/response-to-article-on-multiple-representations/
http://www.ioste2008.org/109/how-can-instructional-technology-make-teaching-and-learning-more-effective-in-the-schools
RStock
Source:http://ezproxy.arcadia.edu:2074/html/webscript.html:%3Asessionid=fsapp8-34670-gbkselye-k701si:sessionid=fsapp8-34670-gbkselye-k701si:
My Response: http://bobbo1.wordpress.com/2010/07/13/multiple-representations-in-math/
http://mathbebrave.blogspot.com/2010/07/article-blog-performance-realization.html?showComment=1279108947853#c6333622720942022179
EthanL
Source: http://www.shodor.org/interactivate
My Response: http://esivel.wordpress.com/ed526/
http://mathematics24x7.ning.com/forum/topics/multiple-representations
aheleniak
http://www.youtube.com/watch#!v=4c5SunC5Lbs&feature=related,
http://www.youtube.com/watch?v=IT4jrL71qJY, http://www.youtube.com/watch?v=maJxVojUIaw
My response: http://teachy79.wordpress.com/2010/07/18/multiple-representations-on-youtube/
http://www.youtube.com/watch?v=pGLTJw0GSxk (another video I watched)
http://continuities.wordpress.com/2010/04/25/sharing-multiple-representations-of-systems/#comment-911
AlWilliams
Source: http://www.youtube.com/watch?v=m9JL-n9F-co&feature=related
Response: http://ajw0812.wordpress.com/2010/07/15/multiple-representations/
http://www.ioste2008.org/112/a-new-challenge-for-teachers-encouraging-girls-in-science-math-and-it-related-studies-and-careers/comment-page-1#comment-78
http://ajw0812.wordpress.com/2010/07/15/commenting-on-multiple-represenations-blog/
Doug Snyder
Source: www.pictorialmath.com
My response: http://snyderdoug.blogspot.com/2010/07/following-powerpoint-presentation.html
http://mathematics24x7.ning.com/forum/topics/multiple-representations?id=2957074%3ATopic%3A4701&page=2#comments
GraceA
Source:http://www2.ups.edu/community/tofu/lev1f/conframe.htm
My response:http://gk1as.wordpress.com/2010/07/16/math-concepts/
http://demirus.com/2010/06/10/math-textbooks-in-the-future/comment-page-1/#comment-10
KateG
source: http://www.informaworld.com/smpp/content~db=all~content=a739081805
My response: http://ktgee24.wordpress.com/2010/07/18/multiple-representations/
http://stephaniefuerst.blogspot.com/2010/04/manipulatives-blog.html "Examining Math Manipulatives" Post
Sam Morrison
http://www.losmedanos.edu/deved/documents/m25_student_work.multiple_representations_000.pdf
My response
http://semhouston1.wordpress.com/author/semhouston1/

Paul
McDowell
http://prmarcadia.wordpress.com/2010/07/19/week-1-multiple-representation-in-math-education/
http://ctlonline.org/blog/?p=357&cpage=1#comment-393
Gail Rice
My Source: http://www.pictorialmath.com/updates_downloads/PresenterGuide.ppt
My Response: http://gailly123.wordpress.com/2010/07/19/multiple-representations-in-math/
http://www.ioste2008.org/109/how-can-instructional-technology-make-teaching-and-learning-more-effective-in-the-schools/comment-page-1#comment-82




Tasks 1-8 and 1-9


1-8
Attend the live class meeting on Wednesday.
Bonus_task.jpgBonus task: attend community study hours on Monday and/or Friday
1-9
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.
Say what alias you used to participate, if it's not your name.
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.

Math ed events:

Classroom 2.0 general ed webinars:
MariaD
Attended Monday, Wednesday and Friday.
Events I chose: #mathchat and Math 2.0 weekly
My blog reflection:
Peterhorn33
Will attend wed meeting. Cannot attend this Friday because I am the Best man in my friends wedding and will be attending the rehearsal at that time.
Event I chose: Collaborative Teacher Training (July 13th 9pm)
My Blog reflection: http://peterhorn33.wordpress.com/2010/07/14/collaborative-learning-webinar/
RStock
will attend Wed and Fri sessions. Attended Mon. session
Event I chose, Math 2.0 Webinar BLOCK fest
Reflection; http://bobbo1.wordpress.com/2010/07/15/blockfest-webinar/
EthanL
Attended Wed class and part of Friday.
Reflections: http://esivel.wordpress.com/2010/07/14/week-1-presentations/
aheleniak
Attended Wed session
The founder of EDU 2.0, a free LMS July 15th, 8pm
Reflection: http://teachy79.wordpress.com/2010/07/18/edu-2-0-founder-graham-glass-webinar/
AlWilliams
Attended Wed event
Collaborative Teacher Training (July 13th 9pm)
http://ajw0812.wordpress.com/2010/07/14/online-collaborative-projects/
Doug Snyder
Attended Mon & Wed events
Participated in Wed Blockfest event and updated my blog accordingly
http://snyderdoug.blogspot.com/2010/07/blockfest-webinar.html
KateG
Blogged in response to the Wed. live chat; attended the Fri. morning community study hours. http://ktgee24.wordpress.com/2010/07/16/response-to-714-live-chat/
I chose the Geogebra workshop, July 17th: http://ktgee24.wordpress.com/2010/07/17/geogebra-workshop/
GraceA
wed and fri sessions
ArtConnected interdisciplinary tool Tapped In chat Wednesday July 21st 7pm
Sam Morrison
Attended the Wednesday session

Paul
McDowell
Attended Wednesday evening Wimba class.
I got a late start and schedule conflicts kept me from catching the live webinars.
Gail Rice

I attended the #mathchat.





Task Dependency Map


This map is made with Bubbl.us It shows dependencies of tasks from the above grids. For example, you first need to register for the email group (task 1-2) and then send your introduction to the group (task 1-3).
LIVE tasks have particular times.
START task is something you should probably do first thing on Monday!
Task-dependency-map-Week-1.jpg

Voice explanation about tasks: