Fractions, Percentages, Decimals and Proportions : : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / / Frans van Galen; Els Feijs; Nisa Figueiredo; Koeno Gravemeijer; Els van Herpen; Ronald Keijzer.
This book describes the field of fractions, percentages, decimals and proportions. It shows the relations between these topics, and how they can be taught in a way that emphasizes these relations. The book also describes the need for change in the way we teach mathematics. The authors argue for a sh...
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Superior document: | Dutch Design in Mathematics Education ; 3 |
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Place / Publishing House: | Leiden; , Boston : : Brill | Sense,, 2008. |
Year of Publication: | 2008 |
Language: | English |
Series: | Dutch Design in Mathematics Education ;
3. |
Physical Description: | 1 online resource (166 pages) :; illustrations |
Notes: | Bibliographic Level Mode of Issuance: Monograph |
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Galen, Frans van, author. Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / Frans van Galen; Els Feijs; Nisa Figueiredo; Koeno Gravemeijer; Els van Herpen; Ronald Keijzer. Leiden; Boston : Brill | Sense, 2008. 1 online resource (166 pages) : illustrations text txt computer c online resource cr Dutch Design in Mathematics Education ; 3 Bibliographic Level Mode of Issuance: Monograph English Description based on print version record. This book describes the field of fractions, percentages, decimals and proportions. It shows the relations between these topics, and how they can be taught in a way that emphasizes these relations. The book also describes the need for change in the way we teach mathematics. The authors argue for a shift in emphasis from “acquired skill” to “understanding”. First and foremost, students should grasp the underlying concepts. Placing less high demands on the skill level of students in the use of formal procedures can set free time that can be invested in in-depth understanding. Preliminary Material -- Foreword -- Introduction and overview -- Relationships -- Core insights for proportion -- Core insights into fractions -- Core insights into percentages -- Core insights into decimals -- Differentiation -- Final and intermediate attainment targets. Mathematics Study and teaching (Elementary) Decimal fractions Study and teaching (Elementary) Fractions Study and teaching (Elementary) Percentage Study and teaching (Elementary) 90-8790-572-6 Feijs, Els, author. Figueiredo, Nisa, author. Gravemeijer, Koeno, author. von Herpen, Els, author. Keijzer, Ronald, author. Dutch Design in Mathematics Education ; 3. |
language |
English |
format |
eBook |
author |
Galen, Frans van, Feijs, Els, Figueiredo, Nisa, Gravemeijer, Koeno, von Herpen, Els, Keijzer, Ronald, |
spellingShingle |
Galen, Frans van, Feijs, Els, Figueiredo, Nisa, Gravemeijer, Koeno, von Herpen, Els, Keijzer, Ronald, Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / Dutch Design in Mathematics Education ; Preliminary Material -- Foreword -- Introduction and overview -- Relationships -- Core insights for proportion -- Core insights into fractions -- Core insights into percentages -- Core insights into decimals -- Differentiation -- Final and intermediate attainment targets. |
author_facet |
Galen, Frans van, Feijs, Els, Figueiredo, Nisa, Gravemeijer, Koeno, von Herpen, Els, Keijzer, Ronald, Feijs, Els, Figueiredo, Nisa, Gravemeijer, Koeno, von Herpen, Els, Keijzer, Ronald, |
author_variant |
f v g fv fvg e f ef n f nf k g kg h e v he hev r k rk |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Feijs, Els, Figueiredo, Nisa, Gravemeijer, Koeno, von Herpen, Els, Keijzer, Ronald, |
author2_role |
TeilnehmendeR TeilnehmendeR TeilnehmendeR TeilnehmendeR TeilnehmendeR |
author_sort |
Galen, Frans van, |
title |
Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / |
title_sub |
a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / |
title_full |
Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / Frans van Galen; Els Feijs; Nisa Figueiredo; Koeno Gravemeijer; Els van Herpen; Ronald Keijzer. |
title_fullStr |
Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / Frans van Galen; Els Feijs; Nisa Figueiredo; Koeno Gravemeijer; Els van Herpen; Ronald Keijzer. |
title_full_unstemmed |
Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / Frans van Galen; Els Feijs; Nisa Figueiredo; Koeno Gravemeijer; Els van Herpen; Ronald Keijzer. |
title_auth |
Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / |
title_new |
Fractions, Percentages, Decimals and Proportions : |
title_sort |
fractions, percentages, decimals and proportions : a a learning-teaching trajectory for grade 4, 5 and 6 / |
series |
Dutch Design in Mathematics Education ; |
series2 |
Dutch Design in Mathematics Education ; |
publisher |
Brill | Sense, |
publishDate |
2008 |
physical |
1 online resource (166 pages) : illustrations |
contents |
Preliminary Material -- Foreword -- Introduction and overview -- Relationships -- Core insights for proportion -- Core insights into fractions -- Core insights into percentages -- Core insights into decimals -- Differentiation -- Final and intermediate attainment targets. |
isbn |
94-6091-142-0 1-281-97205-3 9786611972059 90-8790-572-6 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA137 |
callnumber-sort |
QA 3137 |
illustrated |
Not Illustrated |
dewey-hundreds |
300 - Social sciences |
dewey-tens |
370 - Education |
dewey-ones |
372 - Elementary education |
dewey-full |
372.7044 |
dewey-sort |
3372.7044 |
dewey-raw |
372.7044 |
dewey-search |
372.7044 |
oclc_num |
815758294 1027156701 |
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hierarchy_parent_title |
Dutch Design in Mathematics Education ; 3 |
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Fractions, Percentages, Decimals and Proportions : a A Learning-Teaching Trajectory for Grade 4, 5 and 6 / |
container_title |
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