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Thinking through a Lesson: Successfully Implementing High-Level Tasks.

This article starts off with a math problem about different bags with different amounts of red and blue marbles. The students are to determine the fractions of each, the percent of blue marbles, to scale up the ratios so all bags contain the same amount of blue marbles and so on. These types of problems are ones that don't have a required way to solve them. Students could be creative and solve these questions in any different ways from their neighbors. The rest of the article discusses TTLP, or Thinking Through a Lesson Protocol. This involves the teachers thinking about what questions they want to ask their students prior to the lesson plan as well as the teachers thinking and listing out all the possible ways students may: solve the problem, run into trouble and not know how to continue, or possible common errors students may make.

I thought this article had a lot of great information for current math teachers as well as students training to become teachers. Its important for teachers to realize that math problems can be solved in a variety of ways. So by the teachers solving the problem in these different ways will allow class time and questions to run more smoothly.