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One teacher reading and writing about math education
Thu, 13 Dec 2018 22:27:55 +0000
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Comment on Angle Sum Formulas: Request for Ideas by Beth Hentges
https://researchinpractice.wordpress.com/2011/03/18/angle-sum-formulas-request-for-ideas/#comment-2922
Thu, 13 Dec 2018 22:27:55 +0000http://researchinpractice.wordpress.com/?p=790#comment-2922The usual algebraic proof starts with cos(A-B) and involves setting the lengths of of two chords of the unit circle equal because they are corresponding parts of two congruent triangles. If you send me your email address, I will send it to you.
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Comment on Five Proofs of the Irrationality of Root 5 by Ben Blum-Smith
https://researchinpractice.wordpress.com/2010/06/02/five-proofs-of-the-irrationality-of-root-5/#comment-2919
Fri, 23 Nov 2018 16:06:30 +0000http://researchinpractice.wordpress.com/?p=263#comment-2919If they believe unique factorization, you could use #2 above. If you want to take the time to convince them that can’t be a multiple of 5 without being a multiple of 5, you can try #1 above. A variant of the last-digit argument in Santiago’s comment above could also be convincing to 7th graders.
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Comment on Five Proofs of the Irrationality of Root 5 by Ben Blum-Smith
https://researchinpractice.wordpress.com/2010/06/02/five-proofs-of-the-irrationality-of-root-5/#comment-2918
Fri, 23 Nov 2018 16:02:36 +0000http://researchinpractice.wordpress.com/?p=263#comment-2918Beautiful!
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Comment on Five Proofs of the Irrationality of Root 5 by Rob
https://researchinpractice.wordpress.com/2010/06/02/five-proofs-of-the-irrationality-of-root-5/#comment-2917
Fri, 23 Nov 2018 10:38:35 +0000http://researchinpractice.wordpress.com/?p=263#comment-2917You may like this collection of irrationality proofs, if you haven’t seen it yet: http://www.cut-the-knot.org/proofs/sq_root.shtml
I particularly loved proof 8”’, which is just counting some areas and does not even use division at all.
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Comment on Honor your Dissatisfaction by Responding to “I Already Know This” | Shifting Phases
https://researchinpractice.wordpress.com/2010/10/15/honor-your-dissatisfaction/#comment-2909
Fri, 31 Aug 2018 05:40:43 +0000http://researchinpractice.wordpress.com/?p=717#comment-2909[…] dissatisfied with their previous learning. Perhaps for the first time, someone besides them is honouring their dissatisfaction. Seeing them thrive, as their resistance to authoritarianism becomes their learning’s […]
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Comment on The History of Calculus / Honor Your Dissatisfaction by Disrupt Math | Five Twelve Thirteen
https://researchinpractice.wordpress.com/2016/05/21/the-history-of-calculus-honor-your-dissatisfaction/#comment-2899
Sat, 28 Jul 2018 15:52:38 +0000http://researchinpractice.wordpress.com/?p=1459#comment-2899[…] is mathematical knowledge created? I love Ben Blum-Smith’s piece on the history of calculus. It’s very funny, and it also gets at the uncertainty in what calculus even was, uncertainty […]
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Comment on Kids Summarizing by Encouraging Student Listening – Wisdom of Practice
https://researchinpractice.wordpress.com/2013/09/08/kids-summarizing/#comment-2897
Tue, 17 Jul 2018 19:48:26 +0000http://researchinpractice.wordpress.com/?p=1214#comment-2897[…] From Research in Practice, […]
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Comment on Teaching proof writing by CollectedLetters
https://researchinpractice.wordpress.com/2017/07/28/teaching-proof-writing/#comment-2884
Wed, 09 May 2018 02:34:35 +0000http://researchinpractice.wordpress.com/?p=2243#comment-2884I’m an engineer, I value math skills. But the single most important contributor to my career success has been my ability to write and speak. Teaching math-capable students there is value in communicating in words is a big contribution to the future of not only these students, but also all the people who will be influenced by what they accomplish in the future.
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Comment on “Gifted” Is a Theological Word by Do gifted kids learn differently? – Arithmetic Plus
https://researchinpractice.wordpress.com/2018/01/07/gifted-is-a-theological-word/#comment-2882
Fri, 30 Mar 2018 19:39:17 +0000http://researchinpractice.wordpress.com/?p=2954#comment-2882[…] term has important epistemological, psychological, sociological, cultural, philosophical, and even theological implications. And then some more really important sociological […]
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Comment on Math is Democracy I: The Citizen and the Gerrymander by Math is Democracy II: Math is Democracy! «Research in Practice Research in Practice
https://researchinpractice.wordpress.com/2017/10/20/math-is-democracy-i-the-citizen-and-the-gerrymander/#comment-2881
Wed, 28 Mar 2018 21:55:56 +0000http://researchinpractice.wordpress.com/?p=2914#comment-2881[…] I announced a series on math and democracy back in October. […]
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