Teaching staying power, sticktoitness and the right attitude: Mathematical Disposition and Guided Math Lessons (Part 5)
Polya (1969) [the grandfather of problem solving] states: This is the general aim of mathematics teaching – to develop in each student as much as possible the good mental habits of tackling any kind of problem. You should develop the whole personality of the student and mathematics teaching should especially develop thinking. Mathematics teaching could also develop clarity and staying power. It could also develop character to some extent but most important is the development of thinking. My point of view is that the most important part of thinking that is developed in mathematics is the right attitude in tackling problems, in treating problems. (Part II, pp. 5-7) (cited in Merz, 2009).
Polya provokes us to think about what we do everyday. He says that we are charged with developing in students ” the good mental habits of tackling any kind of problem.” We have to come up with rich math tasks so students can engage in this type of thinking. And, dare I say most of those types of problems are not on page 47 in problems 3-10:) Real problems, with real contexts helps students to see that math is a real subject.
What do you think of his statement that we should “develop the whole personality of the child and math should develop thinking?” This idea makes math class look very different from many teach, test and move on scenarios. If we are teaching to develop personality and thinking, then what on earth does that look like?
Polya goes on to state that teaching math is about teaching character, staying power and the right attitude.
Let’s all think about how we write that into our lesson plans!
Merz, A. (2009). Teaching for Mathematical Dispositions
as Well as for Understanding: The Difference Between Reacting to and
Advocating for Dispositional Learning. Journal of Educational Thought
Vol. 43, No. 1, 65-78.
Polya, G. (1969). The goals of mathematics education. Retrieved March 3, 2005, from http://www.mathematicallysane.com/analysis/polya.asp.
Unpublished videotaped lecture presented to T.C. O’Brien’s
mathematics education students