By Ron Aharoni
This publication is the results of a different event: a examine mathematician educating in an straight forward institution. It tells a few attention-grabbing discovery made by means of the writer — that easy arithmetic has loads of intensity and wonder, and that the key to its educating is in realizing its deep points.
the 1st a part of the booklet discusses the character of arithmetic and its attractiveness. the second one half tells in regards to the educating ideas the writer distilled from his adventure. The 3rd half is an day trip in the course of the mathematics studied in easy university, observed via own tales, ancient anecdotes and instructing feedback. The appendix relates the attention-grabbing tale of recent day politics of mathematical education.
The ebook used to be a bestseller in Israel, and has been translated into many languages. the intense blend of mathematical and didactic insights makes it an important advisor for either academics and oldsters.
Readership: mom and dad whose young ones learn hassle-free 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 resources for Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition
A large part of our world operates according to the principles of proportionality. 5in b1900-part1 Elements 45 number of mandates each party receives is more or less proportional to the number of votes it received. Proportionality is a guiding principle in understanding our environment, and proportionality is expressed by division. Another reason for spending more time on division is that it is more diﬃcult than the other operations. Of the four operations, it has the most meanings, it is the hardest to calculate, and the problems it can represent are the most complicated.
Or “4 more than . . ” In the ﬁrst class, I wrote on the blackboard: “Donna has 4 pencils more than Joseph. ” The order in which the data were presented was not incidental. I deliberately began with the relation between the number of pencils Donna and Joseph had, and not with the absolute number of pencils Joseph had. I wanted them to understand that it is possible to discuss the relation between the numbers without knowing the point of reference (how many pencils Joseph has). Up to that point, the children had no diﬃculty translating real-life stories into arithmetical expressions.
Figuring out the result of an exercise, of course. But this is only a partial answer, which does not touch on the main point. For the last millennium most of mankind has been representing numbers using the decimal system, and hence the essence of calculations is in ﬁguring out the decimal representation of the result. Before the decimal system was invented, calculators had a simple life. The number 4, for example, was represented by ||||. The meaning of a calculation such as 8 + 4 was to draw 8 sticks, and 4 more alongside them.