The authors outline the importance of using variety when teaching mathematics.
Angela Just and Jennifer D. Cribbs
The paper discusses technology that can help students master four triangle centers -- circumcenter, incenter, orthocenter, and centroid. The technologies are a collection of web-based apps and dynamic geometry software. Through use of these technologies, multiple examples can be considered, which can lead students to generalizations about triangle centers.
A wonderful experience occurred in a class that I was teaching recently. It was a precalculus class, the last period of the day. The local university had brought over its cadre of preservice secondary school mathematics teachers to observe my class, so there were twenty-four additional eyes on me that day.
Courtney R. Nagle and Deborah Moore-Russo
Students must be able to relate many representations of slope to form an integrated understanding of the concept.
S. Asli Özgün-Koca, Michael Todd Edwards, and Michael Meagher
The Spaghetti Sine Curves activity, which uses GeoGebra applets to enhance student learning, illustrates how technology supports effective use of physical materials.
Chalk Talk and Claim-Support-Question are two routines for developing students' ability to use multiple representations and encouraging classroom discussion.
Melissa A. Stoner, Kristin T. Stuby, and Susan Szczepanski
By implementing high-impact activities, such as designing a school and a skate park, mathematical thinking can be linked to the engineering design process.
Rose Sinicrope and Daniel V. Bellittiere
The orbits of planets about the sun and satellites about the earth are elliptical. The shape of the orbit can be described by its eccentricity and can be modeled algebraically and graphically. The exploration of orbits enriches our understanding of the mathematical representations, definitions, and connections for ellipses.
When teaching slopes of parallel and perpendicular lines, I want students to have a visual image of the lines, not just memorize a formula. A simple exercise with parallel lines can get the message across.