Wittgenstein's Rod on Geometer's Sketchpad

Project 57

I will share an idea of math lesson with below a construction that is done on Geometer’s Sketchpad.

M.6.3.3.1. Çember çizerek merkezini, yarıçapını ve çapını tanır.

The above objective is that I aim to teach in math  lesson in which I will use the construction of Wittgenstein’s rod on Geometer’s Sketchpad. In this lesson, I expect students to do the construction for learning construction of a circle and radious and diameter of the circle . Students have to draw some circles to do the construction. For example, to be able to construct the road on the video, students need to draw a circle based on a paremeter on Sketchpad. This rod is radious of the circle and thus students see easily what a radious of a circle. Also, another circle at the end point of the rod is constructed with the circle tool but firstly the circle is drawn.I prefered this construction for these reasons.

Math teachers can easily use this construction by following the stages :

1.       Teacher briefly mentions what Wittgenstein’s rod is and what it tell us with animations.

2.       The teacher shows the construction of Wittgenstein’s rod on Sketchpad and want students to construct it.

3.       The teacher gives time for them to understand it and try to construct.

4.       The teacher should give some hints especially about the part of parameter while constructing the second circle.

5.       The teacher shows how the construction does and students try to construct all part themselves or with pairs.

6.       Finally, the teacher tell them circle and its properties by showing examples from Sketchpad.

The construction video of the project we prepeared is below link.

https://drive.google.com/file/d/1HbjrQqy6-QrBV-zgiHyd_3Qsb1Gm4_W_/view?usp=drivesdk

GSP Folder link of the project :

https://drive.google.com/open?id=1sc6P_agnyXTC7-u32zhAjUZQ220a1xvZ