id: 06656034
dt: a
an: 2016f.00674
au: Graumann, Günter
ti: Figures in a grid ‒ a problem field with different tasks for different
grades.
so: Fritzlar, Torsten (ed.) et al., Problem solving in mathematics education.
Proceedings of the 2015 joint 17th conference of ProMath and the 2nd
GDM working group on problem solving, University of Halle-Wittenberg,
Germany, September 3‒5, 2015. Münster: WTM-Verlag (ISBN
978-3-95987-012-2/pbk; 978-3-95987-013-9 /ebook). Ars Inveniendi et
Dejudicandi 6, 93-101 (2016).
py: 2016
pu: Münster: WTM-Verlag
la: EN
cc: D50 G40
ut: problem solving; figures in a grid
ci:
li:
ab: Summary: Working within a problem field happens far too little. For
stimulating the discussion one example will be described here with the
problem field of figures in a grid in which one can find a lot of
interesting problems. Already in primary school pupils can make several
investigations by using a board with pins but also in secondary school
from time to time one can treat a problem concerning only grid points.
Here on one hand we will focus on searching for different triangles in
a $3\times 3$-grid and on the other hand we will discuss the slopes of
union lines of two points in an indefinite grid as well as angle
measures between such two lines.
rv: