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Arithmetic for parents : a book for grown-ups about children's mathematics

Author: Ron Aharoni
Publisher: New Jersey : World Scientific, 2015.
Edition/Format:   Print book : English : [2015 edition]View all editions and formats
Summary:
"This book is the result of a unique experience: a research mathematician teaching in an elementary school. It tells about a fascinating discovery made by the author -- that elementary mathematics has a lot of depth and beauty, and that the secret to its teaching is in understanding its deep points. The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the  Read more...
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Document Type: Book
All Authors / Contributors: Ron Aharoni
ISBN: 9789814602891 9814602892 9789814602907 9814602906
OCLC Number: 898092797
Notes: Translated from Hebrew.
Previously published: El Cerrito, Calif. : Sumizdat, 2006.
Description: ix, 200 pages : illustrations ; 26 cm
Contents: Part one. Elements: What is mathematics? --
The three mathematical ways of economy --
The secret of methematical beauty --
Layer upon layer --
Whole numbers --
Meaning and calculation --
The decimal system --
What is learned? --
Part two. The road to abstraction --
principles of teaching: Conveying abstractions --
Diversity and fixation --
Why teaching is difficult --
Mediation --
Magic words --
The calculator and other aids --
The courage for simplicity --
Part three. Arithmetic from first to sixth grades: A. Meaning: The meaning of addition --
The meaning of subtraction --
The essence of mulitiplication --
The two meanings of division --
Meaning and word problems --
B. Calculation: The calculation of addition --
Subtraction: loan or reorganize? --
The calculation of multiplication --
Vertical multiplication --
Memorize or calculate anew? --
Calculation of division begins on the left --
C. Fractions: Division and fractions --
Fractions turn division into multiplication --
A conversation on division by fractions --
Solved exercises on fractions --
The common denominator --
The least common denominator --
Mixed numbers --
D. Decimals: Decimal fractions --
Calculation in decimal fractions --
Percentages --
A universal language for fractions --
e. Ratios: Proportionality --
More ratio problems.
Responsibility: Ron Aharoni, Technion, Haifa, Israel.

Abstract:

This book is the result of a unique experience: a research mathematician teaching in an elementary school.  Read more...

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   schema:description "Part one. Elements: What is mathematics? -- The three mathematical ways of economy -- The secret of methematical beauty -- Layer upon layer -- Whole numbers -- Meaning and calculation -- The decimal system -- What is learned? -- Part two. The road to abstraction -- principles of teaching: Conveying abstractions -- Diversity and fixation -- Why teaching is difficult -- Mediation -- Magic words -- The calculator and other aids -- The courage for simplicity -- Part three. Arithmetic from first to sixth grades: A. Meaning: The meaning of addition -- The meaning of subtraction -- The essence of mulitiplication -- The two meanings of division -- Meaning and word problems -- B. Calculation: The calculation of addition -- Subtraction: loan or reorganize? -- The calculation of multiplication -- Vertical multiplication -- Memorize or calculate anew? -- Calculation of division begins on the left -- C. Fractions: Division and fractions -- Fractions turn division into multiplication -- A conversation on division by fractions -- Solved exercises on fractions -- The common denominator -- The least common denominator -- Mixed numbers -- D. Decimals: Decimal fractions -- Calculation in decimal fractions -- Percentages -- A universal language for fractions -- e. Ratios: Proportionality -- More ratio problems."@en ;
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