The following video is Dan Meyer’s talk brilliant talk about mathematics teaching — math problem solving in particular. Dan focuses on “reconstructing” ordinary textbook problems so that they become more interesting and would elicit rich class discussion. Dan also discusses the characteristics of good problems.
Dan Meyer is the author of dy/dan, a blog about mathematics and mathematics teaching.
As teachers, it is important that we vary the mathematical activities we give our students. The learning that takes place in the classroom is, in one way or another, affected by the kind of tasks that we give them. These tasks may be classified into three: exercises, problems, and investigations.
A math exercise is a task where students know what is asked AND know a direct way of doing it. Task 1 is an example of a math exercise. In this task, students are asked for the number of squares that make up the fourth figure. This can easily do this by looking at the pattern or by counting.
Math exercises are usually given after examples were demonstrated. They are commonly used to enhance the basic computational skills of students. » Read more