Make Math Moments Academy › Forums › Full Workshop Reflections › Module 4: Teaching Through Problem Solving to Build Understanding › Lesson 41: The Stage of Mastery › Lesson 41: The Stages of Mastery Action › Reply To: Lesson 41: The Stages of Mastery Action

Since it the summer time, I am not teaching at this moment but I am using this class to help me plan for the coming year.
The concept I would be introducing is slope.
Unconsciously incompetent: I know its rise over run when see it on a graph.
Consciously incompetent: I know there is another way to find slope with points and that you need to use x values and y values but can’t put it together.
Unconsciously competent: I know that you subtract the y values to get the rise and the x values to get the run. I wonder how this gets the slope and used in the equation.
consciously competent: i know that when finding the differences of the x and y coordinates that they can be divided to find the slope which is the same thing as counting the rise and run of line on a graph.
Just writing this out has helped me understand how to look for students understanding of the concept. Thanks