A two-day lesson on taxicab geometry introduces high school students to a unit on proof.
Derek A. Williams, Kelly Fulton, Travis Silver, and Alec Nehring
Deanna Pecaski McLennan
Lindsay Vanoli and Jennifer Luebeck
Engaging mathematics students with peers in analyzing errors and formulating feedback improves disposition, increases understanding, and helps students uncover and correct misconceptions while informing opportunities for targeted instruction.
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.
Nicholas J. Gilbertson, Samuel Otten, Lorraine M. Males, and D. Lee Clark
For many American students, high school geometry provides their only focused experience in writing proofs (Herbst 2002), and proof is often viewed as the application of recently learned theorems rather than a means of establishing and understanding the truth of general results (Soucy McCrone and Martin 2009).