Media tagged with: Ask Question

Rubik's Cube Failures

Rubik's Cube Failures

These are excerpts from Math Explorations in Spring 2016. Students get frustrated and make many mistakes before finally succeeding in solving the cube. It is important for them to learn that this is part of doing mathematics.

This video was taken in a mathematics for liberal arts class with 30 students. It met two times a week for 75 minutes each.

Curiosity - Staging a Disagreement

Curiosity - Staging a Disagreement

Calculus 3 students reinvented the definition of directional derivative in their groups. Afterwards the students compare their different definitions in a whole class discussion. Trying to resolve the disagreement creates energy and curiosity in the classroom.

The class had 25 students and met two times a week for 75 minutes each and one time for 50 minutes.

Whole Class Discussions: Repeat or Ask Question

Whole Class Discussions: Repeat or Ask Question

Students are investigating Salsa Rueda dancing. The question is how to predict if you will dance with every leader/follower given n pairs and only dancing dame k (Salsa Rueda chapter in the Dance Book). Prior to the scene in the video, I asked a student to share her conjecture with the class because she had done the greatest number of examples and I knew that her work would be a great resource for the class. We see the student explain her conjecture.

Pick's Theorem

Discovering the Art of Mathematics: Pick's Theorem

A small group interaction with their professor as part of investigations of the areas of polygons on a geoboard in relation to the number of pins contained within the polygon and those falling along the boundary. Mathematically, these are first steps towards the (re-)discovery and proof of Pick's Theorem. The students wondered which pegs actually lie on the boundary formed by the rubber band. Pedagogically, notice how the teacher works hard to support the students, drawing their attention to particular aspects of the geoboard.