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.
This video illustrates a classroom activity from the geometry book, investigating the cube in perspective.
This video was taken in a mathematics for liberal arts class with 30 students. It met three times a week for 50 minutes each.
A whole class discussion in Calculus 3 about the classification of maxima, minima and saddle points.
The students were given the equation for D but had to find out themselves how to use this equation
to classify a critical point. All groups wrote several examples on the wrap around blackboards to use
as classification examples.
The class had 25 students and met two times a week for 75 minutes each and one time for 50 minutes.
Students discuss the concept of tangent lines and planes using play dough and tooth picks in a Calculus 3 class. They grapple with the idea how the tangent plane changes for different points on the surface.
The class had 25 students and met two times a week for 75 minutes each and one time for 50 minutes.
Students develop a representation of a tangent plane in Calculus 3. They use play dough to represent the paraboloid and toothpicks for tangent lines.
The class had 25 students and met two times a week for 75 minutes each and one time for 50 minutes.
The teacher of this calculus 3 class start a discussion by admitting to now knowing the answer to a student's question.
The class had 25 students and met two times a week for 75 minutes each and one time for 50 minutes.
A calculus 3 class grappling with the concept of double integrals. Notice how comfortable the students are in sharing their ideas, recognizing their mistakes and change their thinking.
The class had 25 students and met two times a week for 75 minutes each and one time for 50 minutes.
