By Ron Aharoni
This e-book is the results of a special event: a examine mathematician educating in an easy institution. It tells a couple of attention-grabbing discovery made via the writer — that hassle-free 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 rules the writer distilled from his adventure. The 3rd half is an expedition in the course of the mathematics studied in trouble-free tuition, followed through own tales, old anecdotes and instructing feedback. The appendix relates the interesting tale of recent day politics of mathematical education.
The publication used to be a bestseller in Israel, and has been translated into many languages. the intense mixture of mathematical and didactic insights makes it a vital consultant for either lecturers and fogeys.
Readership: mom and dad whose childrens examine ordinary arithmetic, practioners who offer mathematical studying, and most people.
Read 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
The Story of King Krishna May the God of History forgive me, but when I teach the decimal system in the second or third grade I tell a story of a king, named Krishna (in honor of the Indians), who loved gold more than anything else. Krishna had a cellar full of gold coins. Every morning he would go down to the cellar to see how many coins he had. But there were so many that it was diﬃcult to estimate their number. Therefore he asked his curator to collect the coins in bags — 10 coins to a bag. Soon enough it became hard to keep count of the bags.
It is a straight line, with the numbers marked on it at evenly spaced intervals. Again, this is used for the order among pure numbers, and therefore its study is better deferred to the second grade. First-graders are still in the counting stage, and the even spacing, as well as the association with the straight line, and the identiﬁcation of the numbers with points, is too abstract for them. 5in b1900-part1 Meaning and Calculation Arithmetic in Search for Meaning Most people associate “arithmetic” with arithmetical operations, and arithmetical operations with their calculation.
Everybody can make forward steps if they are small enough. One only has to know how to break the problem into small steps, and how not to be in a rush. In the long run, going in small steps saves time, not wastes it. Divide and Conquer An error no less common than skipping stages is teaching two ideas (or more) at once. Ideas should be taught separately, even if they are not dependent on each other, and even if the order in which they are taught is immaterial. It is important to teach each stage individually.