By Ron Aharoni
This booklet is the results of a distinct adventure: a examine mathematician educating in an ordinary college. It tells a few attention-grabbing discovery made through the writer — that simple arithmetic has loads of intensity and sweetness, and that the key to its instructing is in realizing its deep points.
the 1st a part of the publication discusses the character of arithmetic and its attractiveness. the second one half tells concerning the instructing ideas the writer distilled from his adventure. The 3rd half is an day trip during the mathematics studied in easy university, observed 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 blend of mathematical and didactic insights makes it a necessary consultant for either academics and fogeys.
Readership: mom and dad whose young ones examine undemanding arithmetic, practioners who supply mathematical studying, and most of the people.
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Extra resources for Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition
In the sixth grade, a bridge is built between fractions and the decimal system, in the form of decimal fractions and percentages. 5in b1900-part2 Part 2 The Road to Abstraction — Principles of Teaching If you can’t explain a concept to a six-year-old, you don’t fully understand it. 5in b1900-part2 Conveying Abstractions The King’s Road to Abstraction During a sabbatical I spent in North America, I slipped on some ice and injured my shoulder. The doctors deliberated whether to operate or not. I consulted a renowned specialist, who was all for operating.
The same is true of abstractions — you can’t just place them on someone. They need to be established from the bottom up, from their concrete foundations. A piece of information can be conveyed to another person; abstractions must be established alone, and the teacher can only help by guiding to their speciﬁc examples. No person, child or adult, can understand an abstraction just from its wording. If one does understand, it is because he already had an available example in his mind. The same is true not only of teaching mathematical ideas, but also of the way they are formed.
We are unaware of most of our basic mechanisms of thought. Everyone knows, for example, that if you climb up 4 steps, you have to climb down 4 steps to get back to the starting point. However, we weren’t born with this knowledge. Acquiring it was a true accomplishment. The following is a list of several structures of thought of which a child starting school has a certain perception. One should remember that the child’s grasp of these principles is usually vague and intuitive, and therefore they have to be taught again, this time explicitly.