because they haven't MASTERED this basic math skill. Use of calculators and other manipulatives have inhibited their ability to do so. Simply "knowing" isn't good enuf. Without mastery long term memory cannot occur http://www.psy.cmu.edu/~siegler/Siegler-etal-inpressPsySci.pdf ….
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Replying to @TaraMathBC @DrEugeniaCheng and
@TaraMathBC: See Bahrick & Hall (1991) J. Exp. Psych.: General, 120, pp. 20-33. Learners of algebra whose practice persisted only while it was imposed on them did not retain much. If practice is miserable, no one will persist in it once the obligation to persist is removed.1 reply 0 retweets 0 likes -
Replying to @MathPrinceps @DrEugeniaCheng and
Tara Houle Retweeted Claire Lehmann
well that can be said for ANYTHING. That's what happens when kids haven't mastered basic math facts, like fractional arithmetic, so they can learn Algebra effectively. Try and rush students thru procedures w/o mastery, leads to disaster. Just saw thishttps://twitter.com/clairlemon/status/1030307817297563648 …
Tara Houle added,
Claire LehmannVerified account @clairlemonBecause a) you want to store facts in your long term memory & retrieve them when relevant b) your working memory gets overloaded easily c) it's hard to be critical w/out having mastery & d) it's hard to be creative unless you have knowledge across domains https://twitter.com/Mexikansk/status/1030302461876219906 …1 reply 0 retweets 0 likes -
Replying to @TaraMathBC @DrEugeniaCheng and
Ms Houle, you seem determined to ignore a basic point: you can't get kids to practice enough to achieve useful, durable results simply by compelling them to practice. This has been tried and tried and tried, and the main effect of the effort has been to inculcate math hatred.
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Replying to @MathPrinceps @DrEugeniaCheng and
1.effective math teachers have ALWAYS done well by their students. If indeed your "opinion" was correct, we'd see horrific results coming out of high performing math nations, and we haven't.But we have seen trending declines where we they were once high, such as N.America.
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Replying to @TaraMathBC @DrEugeniaCheng and
In Japan and Finland and many other traditionally high-performing countries, rote learning has been an extremely minor part of elementary mathematics instruction. I have observed many elementary mathematics lessons in Japan (and speak Japanese.) I know from direct observation.
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Replying to @MathPrinceps @DrEugeniaCheng and
my daughter just returned from spending 5 months in Japan at the high school level. None of them use calculators in school. EVER. Rote learning is huge at primary level so that it frees up time in math class beyond elementary. Kids are then free to learn higher order mathematics
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Replying to @TaraMathBC @DrEugeniaCheng and
Ms Houle, I have lived a large part of my adult life in Japan, and speak the language fluently. Rote learning is not huge at the primary level. This is a bizarre lie, and I am puzzled that you should be persuaded by it. Please read Stigler, Stevenson, Lewis, et. al. on this.
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Replying to @MathPrinceps @DrEugeniaCheng and
Tara Houle Retweeted Daniel Ansari
I cannot answer for your experience however I can certainly answer for my daughter's as well as for
@rcraigen who also spent a work term in Japan. Rote learning is evident there and in Singapore, both high performing math nations. https://twitter.com/adamboxer1/status/1009185700472852480 … &https://twitter.com/NumCog/status/976109377634689024 …Tara Houle added,
Daniel Ansari @NumCogObserved 2 math classes in Singapore today. Highly structured & interactive. Lots of problem solving. Timed activites throughout to a.) allow teachers to allocate class time to group activities and b.) to develop fluency. Teachers reported that timing enhances student engagementShow this thread1 reply 0 retweets 0 likes -
Replying to @TaraMathBC @DrEugeniaCheng and
Stigler et. al. have studied these classrooms, and the pedagogical practices in use there, for decades (and speak the local languages fluently.) I strongly urge you to read their work. Japanese teachers are extremely subtle in the influence they exert.
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Understanding their practices and the effects thereof is not easy; indeed, it can be quite a challenge just to see what is going on. Considerable attention to subtle detail is required, and fluency in the language is a must. Few mathematically knowledgeable Americans have his.
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