Developing Algebraic Reasoning Through Generalization
John K. Lannin
Article describes students' generalization strategies and justifications as they engage in patterning activities. Sample problems are discussed.
How Many Times Does a Radius Square Fit into the Circle?
Alfinio Flores and Troy P. Regis
Article presents interesting ways to approach pi. It illustrates a way in which students can estimate the ratio of the area of the circle to the radius square, and also helps students understand why the same value of pi appears in both formulas for the circumference and the area of a circle. Includes an activity sheet.
Coining Some Mathematics: The 50 State Quarters Program
Since 1999, the U.S. Mint has been giving pocket change a new look, with the advent of its 50 State Quarters program. Those new shiny quarters can also be taken into the classroom in the form of lesson plans.
Encouraging Students to Think about How They Think!
Charles A. (Andy) Reeves and Rosemarie Reeves
Article suggests teachers encourage metacognition in their students by becoming knowledgeable about the effects of Einstellung and using that knowledge in their teaching practices. Appendix includes directions for student activities.