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Ron Aharoni's Arithmetic for Parents: A Book for Grown-Ups About PDF

By Ron Aharoni

ISBN-10: 9814602892

ISBN-13: 9789814602891

This e-book is the results of a distinct event: a examine mathematician instructing in an easy institution. It tells a couple of attention-grabbing discovery made through the writer — that basic arithmetic has loads of intensity and sweetness, and that the key to its educating is in realizing its deep points.

the 1st a part of the publication discusses the character of arithmetic and its good looks. the second one half tells concerning the instructing rules the writer distilled from his adventure. The 3rd half is an expedition during the mathematics studied in easy institution, observed by way of own tales, ancient anecdotes and instructing feedback. The appendix relates the attention-grabbing tale of contemporary day politics of mathematical education.

The e-book used to be a bestseller in Israel, and has been translated into many languages. the intense mix of mathematical and didactic insights makes it a vital advisor for either lecturers and fogeys.

Readership: mom and dad whose young ones learn straight forward arithmetic, practioners who supply mathematical studying, and most of the people.

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Additional info for Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition

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This is an important principle of teaching abstract concepts, particularly in mathematics. ” A child who learns to count objects that are arranged exclusively in a certain pattern will associate the number with that pattern. To understand the concept of the number, he must count various kinds of objects, arranged in different ways. The examples of a new concept must be diverse enough to avoid fixation on incidental details. Example: The Concept of the “Whole” I encountered an amusing example one day when observing a lesson on fractions at a school in Tel Aviv.

In first grade he must learn anew, in a different way. The reason is that the child already knows how to count, and to him the decimal system is as natural as if it were an integral part of the number. In fact, the same is true of adults. Most of us find it difficult to imagine representing numbers in any different way. The most important thing to understand about the decimal system is possibly that numbers were not born naturally organized — we are the ones who organize them. 34 objects are not naturally clustered into 3 clusters of ten.

That is, if you increase the numbers by the same amount, the difference between them will remain constant. This law will accompany the children throughout their school years. 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.

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Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition by Ron Aharoni

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