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@jacasiegel Dad here - just knowing that your children are thinking of you and love you is enough. The gift is just a vehicle for this message.
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⚾️ Kelly DeRango
2.9K posts
⚾️ Kelly DeRango
@Kderango
Math Teacher, sci-fi/fantasy fanboy, puts salt on watermelon, green jello enthusiast
Kalamazoo เข้าร่วม Eylül 2010
1.9K กำลังติดตาม359 ผู้ติดตาม
@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.
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@Kderango @MrZachG @RaquelMTeaches @TheAaveMaria k-12 public education would be absurd and counter productive to expend resources, on top of what it had, on what a kid w a 5 on APCalcBC **didn’t** get from it.
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Random thought: It's interesting how music education has largely avoided the proliferation of constructivism/discovery learning.
At least, as far as I know as an outsider English teacher. I still hear the orchestra and choir kids doing their scales.
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@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
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@Kderango @GaleMorrisonEd @RaquelMTeaches @TheAaveMaria Do you have an example of a question using simple math?
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@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.
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@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.
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@MrZachG @Kderango @RaquelMTeaches @TheAaveMaria Fun fact people think constructivist music works because in wealthy districts w great bands & orchestras almost every member has parents paying for private lessons that use direct instruction and loads of practice, repetition, memorization which occur in quiet calm spaces
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@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.
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@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
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@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.”
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@RaquelMTeaches @TheAaveMaria They save the discovery learning for elementary music, unless they want them to actually perform. If they want them to sing a song or play it on a recorder, they'll use di guaranteed. Anytime the goal is to be able to do something they couldn't before, they'll use di
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Here's an animation of a proof without words by Matt Hudelson showing the sum of the alternating harmonic series using a geometric technique
youtu.be/09bqRIkjQhk
@manim_community #math #mtbos #calculus #visualproof #infiniteseries
YouTube
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@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.
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⚾️ Kelly DeRango รีทวีตแล้ว
@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
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@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.
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@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.
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In 2023 state standardized assessment scores should be available within 48 hours inclusive of an updated overarching data report.
This should not be a weeks/months long process and it shouldn’t involve manual calculations.
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@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.
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@Kderango @MrZachG Good idea! @BarryGarelick's Traditional Math book lists critical topics by grade. Pg. 20 of the final report of NMAP lists benchmarks for the critical foundations of algebra by grade (grades 3-7) here: files.eric.ed.gov/fulltext/ED500…
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@WKCosmo I show this to my high school students by throwing up a graph of the tangent function.
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I just love the fact that you can invertibly map the entire real number line onto a finite interval of the real number line. Wizardry.
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⚾️ Kelly DeRango รีทวีตแล้ว
What is the probability that a random permutation of {1,...,200} contains a cycle of length >100?
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@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?
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