Tuesday, April 7, 2015

David H's Power Point on Technology

https://drive.google.com/file/d/0B1hvQaGNvqyEY3dtMnpzMjdheFE/view?usp=sharing

I hope the link works!

Dave

Wednesday, April 1, 2015

Terry Jones' Monte Python-esque film on the history of mathematics: The Story of One

Here is a link to Terry Jones' film!  You can find worksheets, etc. online to go with the film, if you like that sort of thing.


Some resources and starting points for the using the history of mathematics in teaching

Here are some links to a few of the many interesting resources for using math history in teaching mathematics:

1) From Berlinghoff and Gouvea, Math through the ages: A gentle history for teachers and others: sections on the history of Renaissance Italian intrigue & the solution of cubics; and a section on the Pythagorean Theorem.

2) From Olivastro, Ancient puzzles: A section on ancient Egyptian arithmetic.

3) From Classic brain puzzlers: a few examples of early puzzles from different sources.

4) From Joseph, The crest of the peacock: Non-European roots of mathematics: more on ancient Egyptian arithmetic.

5) From Berggren, Episodes in the mathematics of medieval Islam:  A section on dust board arithmetic.

6) From Byrne, The elements of Euclid: Excerpt from Oliver Byrne's amazing colour-coded 1847 edition of Euclid (though unfortunately scanned in B&W here!) Here's a link to an online pdf in full colour.


John Mason & Louis Charbonneau led a 1997 CMESG Working Group that focused on history in mathematics learning -- see p. 35 onward in this link.

Irene Percival from SFU wrote her PhD thesis on history in the mathematics classroom, and has produced lots of materials for use in the K-12 math classroom. Here are some links to some of them:

A visual/ cut-out proof of the Pythagorean Theorem
Babylonian arithmetic

2005: Linking history to school math curriculum

Here is a site that illustrates Hindu-Arabic dust board arithmetic, as described in the Berggren excerpt above.

Wednesday, March 18, 2015

Our readings for next week's class (Wed. March 25): Technology & embodiment

Hi everyone, and hope you are enjoying our excellent virtual class discussion on the topic of "attention". I am impressed by the high quality and wide range of the discussion!

Here are our three readings for next week's class, on Technology & Embodiment -- two contemporary themes in mathematics education that often come together.

1) Healy & Knigos, Charting microworlds

2) Smith, King & Hoyte, Learning angles through movement with Kinect

3) Ferrara, How multimodality works in mathematical activity




Hope you enjoy these, and looking forward to more good discussion via your blogs and in our class next week!

Wednesday, March 4, 2015

Our virtual class: On Attention and mathematical abstraction


Two articles by John Mason on attention:

1) Mason 1982

2) Mason 1989


Please read these two thought-provoking articles on mathematics, attention and abstraction.

Then, over the course of our virtual class (from today to our return on March 24), please post at least four substantive posts in the "comments" section of this posting. Make sure to read and consider the whole thread of the conversation to date and respond to what is being said, as well as adding your own ideas. Your four posts should be separated by at least a day each.

Enjoy this interesting conversation!