Author Archives: Bill McCallum

About Bill McCallum

I was born in Australia and came to the United States to pursue a Ph. D. in mathematics at Harvard University, met my wife, and never went back. I am a professor at the University of Arizona, working in number theory and mathematics education.

Having trouble posting comments?

Some people are getting a message that comments have been closed if they try to post a comment on a post. I don’t generally close comments, so this is an error. I haven’t figured out how to fix it, but … Continue reading

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The confusion over Appendix A

A number of people have gotten in touch with me recently about Appendix A, so I wanted to clarify something about its role. States who adopted the standards did not thereby adopt Appendix A. The high school standards were intentionally … Continue reading

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New Draft of NBT Progression

Here the almost final draft of the Progression on Number and Operations in Base Ten, K–5. It incorporates many changes in response to comments here on this blog and elsewhere. In addition to numerous small edits and corrections, and some … Continue reading

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New Illustrative Mathematics website, with K–5 blueprints

Illustrative Mathematics has a new look today. There’s a video explaining some of the new features on the Illustrative Mathematics Facebook page. One big new feature is the course blueprints. At the moment we just have K–5 blueprints. We’ll be … Continue reading

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Learning about the standards writing process from NGA news releases. Take 2.

About a year ago I noticed there was a lot of misinformation being spread about the process for writing the standards, so I came up with the brilliant idea of pointing people to the historical source documents that chronicled the … Continue reading

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Drawings in the Common Core

There’s been a lot of talk recently about the Common Core and drawings. I won’t get into the politics of that here—that’s for my other blog—but, politics aside, there is an important question of interpretation, and possible misinterpretation, of the … Continue reading

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6–8 Elaborations of the Practice Standards

Here is the grades 6–8 elaborations document for the practice standards. As usual, please comment in the forums. [corrected version added 5/6/2014]

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Problem with RSS Feed for Forums Fixed

The link to the RSS feed for the forums (on the right of this page) was broken. I’ve fixed it now. You might not have noticed (I didn’t for a while) because it was simply not updating. So if you … Continue reading

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K–5 Elaborations of the Practice Standards

Illustrative Mathematics, with the assistance of Mary Knuck, Deborah Schifter, and Susan Jo Russell, has been working on developing grade band elaborations of the Standards for Mathematical Practice. Here is a draft of the K–5 document. As usual, please comment … Continue reading

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Zimba Zoomba

For extra added fun, the folks over at Edutron have created a popup version of Jason Zimba’s monster graph of the standards, so that when you mouse over a standard the text of the standard pops up (the mouse over … Continue reading

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