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## Details

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.
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