"This book is the fourth - and final - publication in the TAL project series. This TAL project was initiated by the Dutch Ministry of Education, Culture and Science, with the aim to improve the quality of mathematics education by providing a perspective on didactic goals and learning-teaching trajectories, and on the relationship between them. The focus of this book is on measurement and geometry in the upper grades of primary education. Measurement and geometry are important topics which perhaps do not get the emphasis they deserve. They build, in a manner of speaking, a bridge between everyday reality and mathematics. Measurement concerns the quantification of phenomena; consequently, it makes these phenomena accessible for mathematics. Geometry establishes the basis for understanding the spatial aspects of reality. See for extra information related to this book:www.fi.uu.nl/publicaties/subsets/measurementgeometry/"

Zusammenfassung
"This book is the fourth and final publication in the TAL project series. This TAL project was initiated by the Dutch Ministry of Education, Culture and Science, with the aim to improve the quality of mathematics education by providing a perspective on didactic goals and learning-teaching trajectories, and on the relationship between them.
The focus of this book is on measurement and geometry in the upper grades of primary education. Measurement and geometry are important topics which perhaps do not get the emphasis they deserve. They build, in a manner of speaking, a bridge between everyday reality and mathematics. Measurement concerns the quantification of phenomena; consequently, it makes these phenomena accessible for mathematics. Geometry establishes the basis for understanding the spatial aspects of reality.
See for extra information related to this book:www.fi.uu.nl/publicaties/subsets/measurementgeometry/"

Inhalt

Preface.- Introduction and outline.- Measurement.- Geometry.- Graphs.- Applets and poster.- A description of the domain of measurement.- Gaining control of reality.- Overview.- Basic principles, justification and characterization.- Prefixes.- Length as the basis.- Area.- Circumference and area.- Volume.- Enlarging and reducing.- Meaning and relationships.- Weight, time speed and other quantities.- In conclusion.- Concise learning-teaching trajectories and intermediate attainment targets for measurement.- Benchmarks and measurement instruments.- Prefixes and length.- Constructing units of area.- Constructing units of volume.- Weight.- Time.- Temperature.- Speed and other composite qualities.- The domain of geometry.- Introduction.- Basic principles, legitimization and characterization.- The geometry taught in the upper grades of primary school.- Spatial sense.- Plane and solid figures.- Visualization and representation.- Learning-teaching trajectories in geometry.- Introduction.- Navigation: Treasure hunt on Moony Island.- The activities in the perspective of a learning-teaching trajectory.- Constructing: sawing cubes.- The activities in the perspective of a learning-teaching trajectory.- Representation: Bringing shadows into the picture.- The activities in the perspective of a learning-teaching trajectory.- Geometry attainment targets.- Spatial sense.- Plane and solid figures.- Visualization and representation.- Graphs.- Introduction.- Types of graphs.- Bar graphs.- Pie charts.- Line graphs.- Graphs and the computer.- Education concerning graphs.