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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.

Phil Daro on learning mathematics through problem solving

Here is a video of Phil Daro calling for a change in classroom habits of how we teach students to solve problems. Great quote, from Phil’s daughter: “Daddy, I don’t have time to understand it, I just want to get … Continue reading

Posted in Uncategorized | 1 Comment

Draft high school Statistics and Probability progression

Here is the progression on high school Statistics and Probability. As usual, comments welcome, and make sure you are using an up-to-date pdf reader.

Posted in Progressions | 3 Comments

General questions about the Mathematics standards

If you have general questions about the standards, ask them in a comment on this post. I can’t guarantee being able to answer all of them quickly, but by now there is a fairly large community of readers of this … Continue reading

Posted in Uncategorized | 178 Comments

Illustrative Mathematics redesign and milestones

Some of you may have noticed this already, but we have just gone live with a major redesign of the Illustrative Mathematics website. Take a look and let us know what you think. In addition to the new look, we … Continue reading

Posted in Uncategorized | 8 Comments

Arranging the high school standards into courses

Here is a suggested arrangement of the high school standards into courses, developed with funding from the Bill and Melinda Gates Foundation and the Pearson Foundation, by a group of people including Patrick Callahan and Brad Findell. I haven’t looked … Continue reading

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New features on the Illustrative Mathematics website

Our master geeks have been working day and night the last few weeks to bring you some improvements to illustrativemathematics.org. A lot of these improvements are behind-the-scenes, but there are two that are particularly worth mentioning: 1. Registered users can … Continue reading

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The Structure is the Standards

Phil Daro, Bill McCallum, Jason Zimba You have just purchased an expensive Grecian urn and asked the dealer to ship it to your house. He picks up a hammer, shatters it into pieces, and explains that he will send one … Continue reading

Posted in Uncategorized | 39 Comments

Article by Roger Howe, “Three Pillars of First Grade Mathematics”

Roger Howe, a mathematician at Yale University who has thought a lot about elementary school mathematics education, has written Three Pillars of First Grade Mathematics, in which he expands on the CCSS Grade 1 mathematics standards. It’s well worth a … Continue reading

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New initiative on implementing the standards, achievethecore.org

Student Achievement Partners has launched a major new initiative to help with implementation of the Common Core State Standards in both Mathematics and English Language Arts. Their website, achievethecore.org, already has some good resources, and no doubt will grow. Student … Continue reading

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Workshop on professional development in Tucson, Feb 17–19

The Institute for Mathematics & Education is holding a 2 1/2 day workshop for leaders implementing professional development on CCSS. I will be helping to run the workshop. I know this is short notice, but we have had a lot … Continue reading

Posted in Uncategorized | 7 Comments