Week 6: The Sixth Level: Creating


The topic of this week is on the balance between different types of tasks in mathematics, and the controversies surrounding Bloom's Taxonomy and other category systems, such as computational fluency vs. conceptual understanding.

Bloom's_Digital_Taxonomy.jpg

The objectives of Week 6 are:
  • To analyze tasks for balance among different activity types
  • To focus on student-generated math content

The main technology tools this week are Diigo, screencasts, 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 Wimba virtual room. 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 7-8pm community study and Q&A hour
Wednesday 8-9pm weekly class discussion
Friday 8-9am community study and Q&A hour



Musical Interlude






Task Grids

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6-1
Pick up math tasks for each of Bloom's levels. You can use your previous class work as examples or make up new ones. For each task, briefly describe two assessment types you would use. You can link other people's explanation of the assessment technique instead of the description.

If a task encompasses many levels (for example, most projects and unit studies do), use two assessment ideas per level.

Some sources of assessment ideas: http://mathforum.org/mathed/assessment.html

Task builder toy: The Differentiator
6-2
Using the list of mathematical entities you created in the second week, Task 2-2, design student activities that call for students creating three of such entities. How will you assess these Creating level tasks?

This does not mean that students, for example, will be required to create (or re-discover) the Pythagorean theorem or any major, fundamental, important math entity of global interest to mathematicians everywhere - their creations can be small and situated within their tasks. Think of student math creations as a lively sketch one draws for a friend, not as "Mona Lisa" destined for fame eternal.
6-3
Open a math textbook of your choice, preferably one you have used or will be using with your students. Analyze a chapter from it according to Bloom's task levels. How is the level balance for your taste? Does assessment focus on all task levels appropriately?

Share your thoughts and your data visualization in your blog or a screencast, using photos or scans of pages if necessary.
GraceA
http://gk1as.wordpress.com/2010/08/19/blooms-assessments/
http://gk1as.wordpress.com/2010/08/26/assessments-on-creativity/
http://gk1as.wordpress.com/2010/08/20/math-textbook-engaging-or-discouraging/
MariaD



KateG
http://ktgee24.wordpress.com/2010/08/26/math-tasks-according-to-bloom/
http://ktgee24.wordpress.com/2010/08/29/creative-student-tasks/
http://ktgee24.wordpress.com/2010/08/21/math-textbooks/
aheleniak
http://teachy79.wordpress.com/2010/08/23/blooms-leveled-tasks/
http://teachy79.wordpress.com/2010/08/17/creating-level-tasks/
http://teachy79.wordpress.com/2010/08/20/math-book-chapter-analyasis/
Peterhorn33
http://wp.me/pZvA3-1h
http://wp.me/pZvA3-1k
http://screencast.com/t/YWNhNDllN2Qt
EthanL
http://wp.me/PZtr1-2M
http://wp.me/PZtr1-2O
http://wp.me/PZtr1-2Q
Paul McDowell
http://prmarcadia.wordpress.com/week-6/week-6-task-1/
http://prmarcadia.wordpress.com/week-6/week-6-task-2/

Sam Morrison
http://semhouston1.wordpress.com/2010/08/20/student-tasks-for-each-of-blooms-levels/
http://semhouston1.wordpress.com/2010/08/20/getting-creative-with-the-pythagorean-theorem/
http://semhouston1.wordpress.com/2010/08/20/lesson-from-algebra-1-text-does-it-follow-blooms-taxonomy/
GRice
http://gailly123.wordpress.com/2010/08/18/blooms-and-assessment/
http://gailly123.wordpress.com/2010/08/23/creating-task-triangles/
http://gailly123.wordpress.com/2010/08/23/math-textbook-review/
Doug Snyder
Math According to Bloom
Linear System Student Activities
Trigonometry According to Bloom
RStock
http://bobbo1.wordpress.com/2010/08/19/tasks-and-blooms/
http://bobbo1.wordpress.com/2010/08/17/creative-level-tasks/
http://bobbo1.wordpress.com/2010/08/17/algebra-1-textbook-and-blooms/
Al_J_Williams
http://ajw0812.wordpress.com/2010/08/16/math-tasks-blooms-and-assessments/
http://ajw0812.wordpress.com/2010/08/17/task-6-2-creating-math-entities/
http://ajw0812.wordpress.com/2010/08/18/analyzing-textbook-examples-for-blooms/




6-4
Paste this url of Keith Devlin's rant on thinking vs. remembering into your web search:
http://www.maa.org/devlin/devlin_06_10.html

Find a blog or a forum post you like that discusses the topic, and leave a reply. It's probably a good idea to read what Keith himself had to say, as well. Before submitting, copy the reply and paste it into your own blog, together with the link to the blog you found. Sometimes blog owners lose comments. Add the link to that discussion to Diigo.
6-5
revisit.pngRevisit task: Find a partner in the class. Your goal is to help one another build on designs of last week's student tasks. You can work together and discuss "what can you do with it" - add resources, pose interesting problems, make introductions more intriguing, ask students deep questions, and so on. Post improvement suggestions as comments to your partner's blog post from last week, and reply to comments in your own blog post, until you feel a substantial progress is made on both. You can also discuss your designs on the phone or in the Wimba room, and post summaries in blog comments.
Make-up task (optional)

This will count as a task, to replace any one you miss during the course for grade counting. Read "Lockhart's Lament" on Keith Devlin's column or in its book form. Review it in your blog.
GraceA
http://gk1as.wordpress.com/2010/08/20/thinking-vs-remembering/
http://gailly123.wordpress.com/2010/08/16/scatter-plot-lesson-plan/#comment-11
http://gk1as.wordpress.com/2010/08/26/mathematicians-lament/
MariaD



KateG
http://ktgee24.wordpress.com/2010/08/29/105/
did make up task for this week
http://ktgee24.wordpress.com/2010/08/21/lockharts-lament/
aheleniak
http://teachy79.wordpress.com/2010/08/18/keith-devlins-rant-on-thinking-vs-remembering/
I did the make-up task for this week in lieu of this assignment.
http://teachy79.wordpress.com/2010/08/22/lockharts-lament/
Peterhorn33
http://wp.me/pZvA3-1p
http://esivel.wordpress.com/week-5-2/week-52/

EthanL
http://wp.me/PZtr1-2V
http://prmarcadia.wordpress.com/week-5/week-5-task-2/#comment-22

Paul McDowell


Review of sub-page organization of WordPress for classes
Sam Morrison
http://semhouston1.wordpress.com/2010/08/20/response-to-gas-station-without-pumps/
http://ajw0812.wordpress.com/2010/08/09/statistics-lesson-plan-percent-body-fat/#comment-29

GRice

http://gk1as.wordpress.com/2010/08/05/symmetry-lesson/#comments

Doug Snyder
Do Computer Geeks Need Math, Too?
Comment on Bobbo's Blog

RStock
http://bobbo1.wordpress.com/2010/08/18/how-do-we-learn-math/
http://snyderdoug.blogspot.com/commet posted on Doug's blog

Al_J_Williams
http://ajw0812.wordpress.com/2010/08/17/keith-devlin/
http://semhouston1.wordpress.com/2010/08/09/student-task-focused-on-data-visualization/#comment-18

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6-6
Attend the live class meeting on Wednesday.
Bonus_task.jpgBonus task: attend community study hours on Monday and/or Friday

http://typewith.me/btEsXPfIs4
6-7
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. 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 - many of them are only announced a few days ahead of time.

Math ed events:

General ed events:

Sources of events
GraceA
Wed and Fri
Visited Mathematica Fri 2pm - there was no seminar scheduled for that time or 6pm watched on demand: http://gk1as.wordpress.com/2010/08/22/wolfram/
MariaD


KateG
Wed class
tried to do both Friday sessions, both had no seminar scheduled
aheleniak
Wed class meeting
Expert ways of seeing: Transforming novices through visual learning Wednesday 9:30pm
http://teachy79.wordpress.com/2010/08/19/expert-ways-of-seeing-transforming-novices-through-visual-learning/
Peterhorn33
Wed class meeting
http://wp.me/pZvA3-1s
Make up from last week http://wp.me/pZvA3-1v
EthanL
Wed
http://wp.me/PZtr1-34
MathFlo algebra workflow system
Paul McDowell
Schedule conflict this week.

Sam Morrison
There Wednesday (a little late--oops!)
I visited Mathematica Friday at 2 also with no luck. Will check out another this wknd.
GRice
Mon & Wed
http://gailly123.wordpress.com/2010/08/20/live-event-reflection-2/
Doug Snyder
Wed class meeting
Mathematica Overview
RStock
Attended Wed session
http://bobbo1.wordpress.com/2010/08/21/edublogs-webinar/ comments on EduBlogs Serendipity
Al_J_Williams
Attended Wed session
http://ajw0812.wordpress.com/2010/08/19/expert-ways-of-seeing-accessible-to-novices/

Voice explanation about tasks: