By Ron Aharoni
This ebook is the results of a special adventure: a study mathematician educating in an simple college. It tells a few attention-grabbing discovery made by means of the writer — that effortless arithmetic has loads of intensity and wonder, and that the key to its instructing is in knowing its deep points.
the 1st a part of the ebook discusses the character of arithmetic and its good looks. the second one half tells concerning the educating ideas the writer distilled from his adventure. The 3rd half is an day trip in the course of the mathematics studied in common institution, followed by way of own tales, historic anecdotes and educating feedback. The appendix relates the attention-grabbing tale of recent day politics of mathematical education.
The e-book used to be a bestseller in Israel, and has been translated into many languages. the extreme mix of mathematical and didactic insights makes it a vital advisor for either lecturers and oldsters.
Readership: mom and dad whose childrens research uncomplicated arithmetic, practioners who supply mathematical studying, and most people.
Read Online or Download Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition PDF
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Additional info for Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition
They will encounter it, for instance, when expanding fractions, where the ratio between two numbers does not change if you multiply them by the same number. Law of conservation: 17−14=7−4 *** The ﬁrst of the two lessons always serves me as a reminder of: how elusive the structures of thought that are established at an early age really are; how easy it is to believe that they exist in children’s minds, and how easy to forget that even the most elementary structures need to be established at some point, through hard work.
Was established through concrete experimentation, dwelling upon each of its aspects, even those that seemed most simple. We insisted on explicit phrasing, even for the most obvious principles. Through these we managed to go far beyond what I had dared to even dream of at the beginning of the lesson. Ask Me an Easier Question As a fresh parent, I used to ask my children mathematical questions. I do it less these days — asking questions is not a natural pattern for a parent–child relationship.
Every morning he would mark the number of gold coins in his possession above the palace gate. On the ﬁrst day, when he had only begun his collection, he had 7 coins. He wrote above the palace gate: On the second day, he received 3 more coins. What did he do? He gathered all his coins in a bag of ten and wrote above the gate: The following day, he received 5 more coins. Now he had a bag and 5 additional coins. He wrote: Why did he draw the bag on the left and the coins on the right? Because arithmetic, like English, is written from left to right, and the bag, containing more coins, is more important.