32. horizontal mathematization (example)
Freudenthal institute (F.I.) under the auspices of Hans Freudenthal (1905-1990)
The majority of pupils started off the problem by guessing, usually with the assumption that a t-shirt will cost more
drink. After being asked to find another method for calculating the respective values they start to develop mathem
tools to deal with situation. This primarily involved the idea of exchange i.e.
2 t-shirts + 2 drinks = $44.00
1 t-shirt + 3 drinks = $30.00
0 t-shirts + 4 drinks = $16.00
35. vertical
mathematization=
the process of reorganization
within the mathematical system
itself, like, for instance, finding
shortcuts and discovering
connections between concepts and
strategies and then applying these
discoveries.
49. Jane is climbing to the top of the bell tower.
There are 42 steps in the tower. She has climbed
17 steps already. How many more steps does Jane
need to climb to get to the top of the tower?
50.
51. looking at the three different questions and the
variety of answers was an eye-opening process.
I was amazed at the variety in approaches to
solving a problem. The richness of the
mathematical discourse was thought-provoking,
and helped deepen my understanding of problem-
solving strategies.
Reflection