@GaleMorrisonEd @MrZachG@RaquelMTeaches@TheAaveMaria Those students returned to me this May with effusive praise of how that experience strongly influenced them as learners and human beings. But, yeah, what a waste.
@MrZachG @GaleMorrisonEd @RaquelMTeaches@TheAaveMaria 1) Analyze the geometric structure of variation 14 of Max Bill’s 15 Variations on a Theme, 2) Analyze the way in which different polyominoes can create congruent shapes, 3) Create a proof of the irrationality of sqrt(2) that is visual, engaging and easy to understand
@MrZachG @GaleMorrisonEd @RaquelMTeaches@TheAaveMaria Also think it is important to point out that students who have earned a 5 on the AP Calc BC exam have no idea what to do when confronted with a real mathematical research question, even when the topic involves simple mathematics. This is an untaught skill in current curriculum.
@GaleMorrisonEd @MrZachG@RaquelMTeaches@TheAaveMaria Is the purpose of science instruction to fill students heads with facts? Or are there skills they should learn from labs critical for carrying out scientific experiments? If your goal is bubble sheet tests only then labs are irrelevant. My goals include such skill acquisition.
@MrZachG@RaquelMTeaches@TheAaveMaria rubrics and standards. Math has a similar research process but it is never taught. As a result there are no standards or rubrics to guide teachers. Teaching these skills, interpreting and writing up such “labs” is important and should be explicitly taught.
@MrZachG@RaquelMTeaches@TheAaveMaria Do chem/physics/bio labs have value? I say yes the scientific method is important. Ss need to learn how to conduct an experiment, interpret the data and write a lab report. This isn’t content per se, it is learning several skills. B/c such labs are common there are well developed
@MrZachG@RaquelMTeaches@TheAaveMaria The issue central to many critiques of the current curriculum is that most math instruction is more akin to forcing music students to only study written notes but never allow them to play a song. See “A Mathematician’s Lament.”
Here's an animation of a proof without words by Matt Hudelson showing the sum of the alternating harmonic series using a geometric technique
https://t.co/nwSyln91rl
@manim_community #math#mtbos#calculus#visualproof#infiniteseries
@TedG @manim_community This is where high school math research lives. Proof without words, geometric representations, tilings. Can’t tell you how many times I’ve shown your videos to my students.
@snezanalawrence There are problems I would attach an infinitely greater importance than to those of mathematics,for example ethics,or our relation to God,or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.
Carl Gauss
The newsroom is not standing for it.
Not only is it incredibly offensive to suggest Pride events be covered less than others -- the fact we were mandated to "curb our coverage" to appeal to a political belief goes against the very heart of what journalism is supposed to be.
@ProfKinyon This is the exact issue I have when giving research questions to my high school students. Pose a question that I find interesting. Don’t know the answer. And then sit on my hands?!?!?! Agony.
@DrKChilds The Oct 22 American Math Competition released their scores within a week. Their competition portal looks like a website from 1998 but they still managed to report scores promptly. This isn’t a huge technological hurdle.
@rastokke@MrZachG@BarryGarelick That’s a start! Would love to have that list extended beyond middle school. Fluency measures for, say, solving 1-, 2-step equations in 1 unknown, simplifying square roots, solving quadratics, identifying similar shapes, etc.
I wish there were fluency standards in math by grade, an easily accessible, small list of benchmarks. Textbooks shld build fluency practice into lessons. So many benefits from a model of teaching where fluency practice is expected as part of a regular class. @rastokke@MrZachG
@JasonAblin Yes it is a problem. How are we going to recruit and retain teachers who 1) have deep content knowledge, 2) can connect with individual kids, 3) can manage a group of 20-25 children for 6 hours a day, 4) can distinguish between good/bad studies and 5) willing to start at $35k?