TY - BOOK AU - Galen,Frans van AU - Feijs,Els AU - Figueiredo,Nisa AU - Gravemeijer,Koeno AU - von Herpen,Els AU - Keijzer,Ronald TI - Fractions, Percentages, Decimals and Proportions: a A Learning-Teaching Trajectory for Grade 4, 5 and 6 T2 - Dutch Design in Mathematics Education SN - 9789460911422 AV - QA137 U1 - 372.7 23 PY - 2008/// CY - Leiden; , Boston PB - Brill | Sense KW - Mathematics KW - Study and teaching (Elementary) KW - Decimal fractions KW - Fractions KW - Percentage N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1163/9789460911422 ER -