By Ron Aharoni
This publication is the results of a distinct adventure: a study mathematician instructing in an easy college. It tells a couple of interesting discovery made by way of the writer — that undemanding 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 good looks. the second one half tells concerning the instructing ideas the writer distilled from his event. The 3rd half is an expedition throughout the mathematics studied in easy university, followed via own tales, old anecdotes and educating 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 extreme blend of mathematical and didactic insights makes it a necessary consultant for either academics and fogeys.
Readership: mom and dad whose youngsters research effortless arithmetic, practioners who offer mathematical studying, and most people.
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Additional resources for Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition
She was not trying to evade the question, but asked me to provide her with a preliminary step. If a question is hard, it usually means that some previous stage is missing. I use this phrase in my classes. When students ﬁnd a problem too hard, I tell them the story of my daughter, and encourage them to do the same: Whenever they fail in solving a hard problem, they should ask for a simpler one. My aim is to make them aware of the possibility that there is a stage missing in their knowledge. This not only averts frustration, but also makes them aware of their thinking processes, an important goal by itself.
A ﬁrst-grader should count as much as possible. This is the only way to establish the concept of the number. A ﬁrst-grade classroom should be full to the brim with buttons, beads, popsicle sticks, straws. When counting, the denomination should always be mentioned. ” First Lesson on Denominations The following is a suggestion for a ﬁrst lesson on denominations. Warn the class that you are about to give them strange instructions. ” The ensuing discussion will teach the children that when you say “two” you must also say two of what.
Lana Turner, Movie Star Numbers are important, explains Lana Turner. But ﬁrst and foremost is the denomination, namely, what the number counts. The concept of the number did indeed begin with numbers that have denominations, that is, with the counting of objects. The abstract number came along at a later date, born of the fact that important properties of numbers, such as the results of arithmetical operations, are not dependent on the denomination: 2 + 3 = 5 is true of apples and chairs alike.
Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics: Revised Edition by Ron Aharoni