Mike Lawler Profile picture
former math professor, current math and ultimate frisbee enthusiast. Love making fun math videos with my kids.
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Jul 12, 2023 7 tweets 3 min read
1/5 (ish) an interesting article, but also what looks like essentially an assurance that the CMF is going to pass whenever the vote happens. 2/5 The article has this quote from the California State Board of Education President Linda Darling-Hammond:
Jul 11, 2023 9 tweets 3 min read
1/ I wrote this thread a few days ago about an article on youcubed that is referenced in the California Math Framework. Since then I've been trying to find out any more information on the claims in "study 2". 2/ Tonight I found a talk from the 2016 NCTM conference where the claims are discussed for about 1 minute starting at 9:15 in the video:
Jul 9, 2023 10 tweets 3 min read
1/ In reviewing the California Math Framework, I didn't really focus on the data science piece since that piece of it is very new to me. But wow is that piece of the puzzle amazing - and well worth spending time on. 2/ Brian Conrad's comments are a great place to start, and I want to highlight one piece in particular. His comments are here:

drive.google.com/file/d/1cawqhf…
Jun 28, 2023 15 tweets 4 min read
1/ This is going to be a long thread, but having now finished reading the about 1,000 page long California Math Framework, I wanted to put down some thoughts. Twitter is probably the wrong place to do this because it will be hard to follow everything in the thread, so, sorry. 2/ I'll start with this old blog post from @mpershan His statement "The CMF itself is a complex, at times vague, grabbag of progressive math education initiatives." is really all you need to know. The rest of the CMF is essentially just stuff selling itnotepad.michaelpershan.com/what-is-happen…
Mar 25, 2023 13 tweets 4 min read
1/10 (ish) This article by @stephaniemlee was released a couple of days ago. I've read it 4 or 5 times and after a few days of reflection I want to share one particular part of it that has just me completely amazed. chronicle.com/article/the-di… 2/10 The 1st of two paragraphs is here and relates to the "40% to 8%" (or 7%, I guess) claim about students repeating algebra. Sometimes the claim was "failing" instead of "repeating":
Jun 13, 2022 6 tweets 2 min read
1/6 (or so) The numbers in the presentation about math in the San Francisco public schools are so sad. 2/6 Here's page 10/20 on AP math enrollment. Enrollment is up. Image
Jun 13, 2022 4 tweets 2 min read
1/4 Tim Gowers' thread is interesting. One thing that was a really nice surprise is that non-professional mathematicians can understand the ideas in the thread and also the main idea in the underlying paper. The problem studied in the paper is really cool. 2/4 This is the underlying paper by Thomas Bloom: arxiv.org/pdf/2112.03726…
Jun 5, 2022 10 tweets 3 min read
1/10 (or so) A short thread sharing some playing around I did after reading Mark Spitznagel's Safe Haven last weekend. The idea I was playing around with is that buying - and even paying above loss cost - for crash protection can actually increase your expected return. 2/10 Say you play a game with these results:

50% of the time your wealth increases by 10%
30% of the time your wealth increases by 5%
10% of the time your wealth is unchanged
9% of the time your wealth goes down by 5%
1% of the time your wealth goes down by 80%
Feb 26, 2019 4 tweets 2 min read
I don't know about the CCSS standards specifically, but the idea in this tweet is one of the most important ideas I've tried to communicated to my own kids as I taught them k-12 math. For example, we played with a "binary adding machine" with duplo blocs to help the kids see how the ideas of arithmetic could be applied beyond base 10 arithmetic: