Deanna Pecaski McLennan
Using technology to solve triangle construction problems, students apply their knowledge of points of concurrency, coordinate geometry, and transformational geometry.
Darla R. Berks and Amber N. Vlasnik
Two teachers discuss the planning and observed results of an introductory problem to help students nail a conceptual approach to solving systems of equations.
Helen M. Doerr, Donna J. Meehan, and AnnMarie H. O'Neil
Building on prior knowledge of slope, this approach helps students develop the ability to approximate and interpret rates of change and lays a conceptual foundation for calculus.
Exploring even something as simple as a straight-line graph leads to various mathematical possibilities that students can uncover through their own questions.
Reasoning in Algebra Classrooms
Daniel Chazan and Dara Sandow
Secondary school mathematics teachers are often exhorted to incorporate reasoning into all mathematics courses. However, many feel that a focus on reasoning is easier to develop in geometry than in other courses. This article explores ways in which reasoning might naturally arise when solving equations in algebra courses.