Tuesday, February 10, 2009

Today I shared with you an excerpt from Jo Boaler's short article called 

Mathematics for the Moment, or the Millennium?


Education Week Commentary, 29 (XVIII) March 31, pp 30 & 34.

We will continue to delve into this article next week. Stay tuned........

Thinking Mathematically


Today I showed you the text Thinking Mathematically by John Mason, Leone Burton, and Kaye Stacey. This revised edition takes up the processes of doing mathematics. We discussed the notions of specializing, generalizing, conjecturing, convincing and justifying. 

We also looked at the three stages of a problem:

1. Entry

What do I know? 
What do I want? 
What can I introduce?

2. Attack

3. Review

And remember that being STUCK is an honorable state!

Assessing the Quality of your Blog

Blog Self-Assessment

This is a reminder that Thursday’s class is an independent working session. Your task is to get caught up in your blogging and to revise or edit your work to your own degree of satisfaction based on the following:

• Is my blog free of grammatical/spelling errors?
• Is it easy to read?
• Have I been careful to avoid statements that make sweeping generalizations?
• Have I used appropriate examples to explain my ideas?
• Have I come up with good questions that are interesting, important, or provocative?
• Have I gone further than simply retelling events to trying to unpack and understand events?
• Have I shown evidence of growth of understanding through my reflections?
• Have I been careful to avoid identifying teachers, students, and schools?
• Have I been clear in my writing and choice of words?
• Have I satisfied 4.8.3 MUN University Regulations on Good Writing as described below?

Good writing is characterized by the following qualities:

1. Content
a. critical insight and freshness of thought,
b. clear and penetrating ideas,
c. perceptive, pure grasp of subject,
d. intelligent use of primary and secondary sources, and
e. a sense of completeness about the handling of the topic.

2. Organization
a. effective introduction and conclusion,
b. main idea is clear and logical development follows,
c. smooth transitions, and
d. good use of details.

3. Style
a. appropriate, accurate, precise and idiomatic diction, and
b. sentences varied in kind, length and effect.

4. Mechanics
a. consistently correct spelling,
b. accurate use of punctuation,
c. grammatically correct sentences, and
d. well organized paragraphing.


Please create a brief self-assessment (to be printed and brought to class on Tuesday Feb 17th) of your blog in one paragraph, addressing the following two questions:

1. How is my blog strong?

2. What do I need to do to improve the quality of my work?


Monday, February 9, 2009

Counting Grains of Sand and Painted Faces on Cubes

Over the last few classes you have engaged in individual and collective mathematical thinking as you worked with cubes and grains of sand. 

The following are some of the topics that came up:
  • open-ended math problems and what that means
  • math problems that make you think more than 2 seconds
  • math problems that allow for multiple entry points - for the diversity of learners
  • math tasks that don't tell you exactly what to do and how to do it, step by step
  • math making sense
  • students using mathematics to determine if an answer is correct
  • problem solving
  • working collaboratively rather than hoarding information

On Tuesday, Feb 10 we will continue this work. I mentioned how critical chapters 4, 5, and 6 are to your future growth as a primary/elementary teacher of mathematics. Please be ready to discuss chapters 3 and 4 as we look at what it means to think mathematically and teach for understanding.




In class last week we discussed the following best selling children's book, The Number Devil: A Mathematical Adventure by Hans Magnus Enzensberger. 

It is a chapter book containing colourful illustrations of various mathematical discoveries. 

It's a best seller, so I think you'll enjoy reading it, and your students - particularly your elementary students - will find it engaging and entertaining. 

I wouldn't limit it to just elementary students at all as it makes a great whole class read-a-loud. It will depend on your students of course!