CTK Insights

Archive for the 'How children learn' Category

19 Jun

Children, parents and puzzles

I wonder whether the girl in the story was naturally scared of mental exercises, disliked puzzles or math, or, perhaps, her mom's injunction played a role in setting the girl into a wrong mood. I had a very clever classmate who - likely for that very reason - felt under pressure to perform well at examinations, but never had.

17 Oct

Education as Service - Educational system as a platform

TweetIf you have not read yet a memo by Steve's Google Platform rant, you should. A first-hand account on management practice and philosophy differences between Amazon and Google. The memo has been intended for internal google distribution but somehow found its way to a wider audience. Besides revealing some truths about the two successful online […]

30 Sep

Thought provokers to start a class with

TweetAt the beginning of his career, Doug Rohrer - presently Professor of Psychology at the University of South Florida - was a math teacher. As such, he was used to begin his mathematics classes with thought provokers, the kind of puzzles that are intrinsically provocative and whose solution - often surprising - does not require […]

20 Mar

The 1089 Prediction Trick and Beyond

TweetSimple mathematics may be rather impressive even on an early developmental level. The "1089 prediction" is one of the better known tricks that may be presented to the 3-4 grade audience. David Acheson describes it thus: Think of a three-digit number. Any three-figure number will do, so long as the first and last figures differ […]

30 Jan

A Recent Vintage of Small Games and Activities

TweetThis is just to document a few simple math and logic activities recently added to the Interactive Mathematics Miscellany and Puzzles site. Filling a Grid with Good Neighbors There is a number of chips placed in the squares of an N×N grid. We can add a chip to a square, provided it has at least […]

21 Dec

The Significance of the Long Division

TweetI am going to quote from a new book by Reuben Hersh and Vera John-Steiner (p. 26). Alice Schaefer (1915-2009), a US mathematician, head of the mathematics department at Wellesley College from 1962 to 1980, happened to skip from third to fourth grade. At the time her teacher said that, although she and one of […]

26 Jul

Unbraiding Braids

Tweet Three ropes have been fastened to a horizontal plunk, tangled a little as if one tried to make a braid and, lastly, loosely attached to an auxiliary plank to keep them braided. Down below there is a third plank. The task is to attach three additional ropes to the first ones at one end […]

16 Jun

Euclid's Game

TweetDenise of the superb blog Let's Play Math has streamlined my online version of Euclid's game. The game provides a playful practice for the divisibility, gcd and some counting. The game (more accurately, the Java applet) has been written more than a decade ago when I just began to learn the Java language. At the […]

09 Jun

Effects of Childhood Experiences

TweetValerie Strauss in the Answer Sheet blog tells us of the "most powerful learning experience" Arne Duncan, the US Secretary of Education, shared with author and educator Sam Chaltain. Arne Duncan's Learning Story I grew up going to my mother’s afterschool tutoring program in a church basement on the South Side of Chicago. It is […]

07 Jun

Partial Coincidence

TweetHere is a question: should students be given partial credit for incomplete solutions. I was still reading Andrei Toom's online book to which I referred in the previous post when I was advised on twitter.com that New York City Council is in turmoil over a controversial policy that gives students partial credit for wrong answers […]

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