New mathematical ideas and skills can often be introduced through problem-solving situations related to students' everyday experiences. When their curiosity is aroused, students are more likely to sustain their attention, think on their own, and listen closely to the ideas of others. Such lessons make it possible from the outset to develop understanding of the usefulness of a new concept or skill.

We will begin with two examples of student work for you to consider. The students are working on a question that people commonly encountered when they're grocery shopping, or planning for a party. As you observe the students, think about the specific mathematical ideas they encounter while solving the problem.

  Observe student work