Rather, they are meant to extend a concept such as multiplying with fractions or show how ratios can play a role in data collection and analysis. These materials are not a substitute for a solid, conceptually-based approach to mathematics, one that is consistent with the 1989 NCTM Standards. The second strand that you will find in this site is Integrated Lessons . This strand provides a detailed framework for constructing lengthy problems that integrate math problem solving and written expression. The strand provides a model for initially developing a problem and working with students to clarify its key dimensions.
Students then collect data on the problem and analyze the data using a spreadsheet.
The final step is to develop a written report that summarizes the findings and makes specific recommendations. The exercises in this strand are generally much longer than the lessons in the Math Concepts strand. The Integrated Lessons strand contains two examples of how students work a problem-solving exercise from beginning to end. The final strand is Journaling . This strand provides a developmental model for incorporating writing into a math class.