This book contains materials for upper high school Linear algebra and analytic geometry.
It has three chapters: 1. Vectors, 2. Dot Product of Vectors and 3. Determinants.
Offered materials in each of the chapters support three modes of description:
geometric, algebraic and abstract (Hillel, 2000).
They are in close connection to three modes of thinking:
synthetic-geometric, arithmetic and analytic-structural (Sierpinska, 2000).
The materials in the GeoGebra Book aim to help students in recognizing, utilizing
and translating between the multiple modes of thinking of the corresponding concept.
In particular, they may help in understanding the bi-linearity properties of the dot product
and the multi-linearity property of determinants.
Additional Reading: http://www.math.hu-berlin.de/~todorova/