There is a new open letter by STEM practitioners who oppose the California Math Framework revision (CMFR). The same group also published an Analysis and Critique of the proposed changes, and a blog post by Boaz Barak and Edith Cohen. I’ll use the latter's initials (BB/EC) to refer to them and the set of three… Continue reading Yet More on the California Framework (Part 1)

# Tag: Teaching

## Asilomar report, 2021

I attended the California Math Council North’s conference in Asilomar last weekend. Because of Covid, it was a dramatically smaller conference than usual. As a consequence, there were fewer sessions to choose from, and probably a smaller turnout for many of them. Here is my nearly annual report. Python Turtle Ned Diamond presented the Python… Continue reading Asilomar report, 2021

## Detracking, How To

This is my third post on the in-process revision of the California Math Framework. If you haven’t yet, please read the first two: The California Math Framework Revision, and More on the California Framework. I just reread them, and find that I stand by what I wrote: the revision attempts to address an important issue: low-track… Continue reading Detracking, How To

## More on the California Framework

The Independent Institute published an Open Letter to Governor Newsom, calling for the complete abandonment of the (currently in progress) revision of the California Math Framework. Before I share my thoughts about the letter, I will ask you to please make sure you read a previous post, in which I commented on the current draft… Continue reading More on the California Framework

## Integrating the High School Math Curriculum

The standard middle school / high school course sequence in much of the US is Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus. This is pretty much a US-only concept: elsewhere, algebra and geometry are taught every year in middle school and high school. This American tradition leads to many endemic problems: The traditional Algebra 1 includes an enormous amount of… Continue reading Integrating the High School Math Curriculum

## The California Math Framework Revision

California is revising its Math Framework. A draft has been updated after a first round of public comments, and a second round will take place starting in December. The Framework is of course an important document that will affect math instruction in public schools throughout the state for at least several years. I have not seen… Continue reading The California Math Framework Revision

## Commitments

In a blog post seven years ago, I summarized “Embracing Contraries in the Teaching Process”, an important article by English professor Peter Elbow. In that post, and its sequel, I tried to apply Elbow’s ideas to the teaching of math. I encourage you to read both posts, and Elbow’s article (which I linked to in the first… Continue reading Commitments

## Fraction Rectangles

This is a sequel to my last post (Seeing is Believing?), addressing the same issue from a different point of view. Fractions, of course, are difficult. When teaching 4th and 5th grade in the 1970's I struggled with this, and came up with a powerful learning tool: fraction rectangles. The idea is that it is… Continue reading Fraction Rectangles

## Seeing is Believing?

“Proofs Without Words” are proofs based on a visual representation of a theorem which provides a convincing argument about its validity without the need for any accompanying text. The genre has been much enriched by the increased availability of computer animation. This is of course relevant to math education: many of the concepts we teach can be illustrated visually, including with… Continue reading Seeing is Believing?

## Tiling and Transformations

In my last post, I argued that tiling is a good topic to include in a geometry program. Students find it engaging: on the one hand, it connects with art and culture; on the other hand, it provides a context for student creativity. At the same time, it presents many connections with the geometry curriculum in middle school and high… Continue reading Tiling and Transformations