Proving trigonometric identities are some students' least-favorite lessons. For us, those proofs are enjoyable puzzles for which the right algebraic manipulation leads to the desired outcome, but our students did not always find the same satisfaction in untangling those algebraic knots.
Craig J. Cullen and Tami S. Martin
Craig J. Cullen, Joshua T. Hertel and Sheryl John
Technology can be used to manipulate mathematical objects dynamically while also facilitating and testing mathematical conjectures. We view these types of authentic mathematical explorations as closely aligned to the work of mathematicians and a valuable component of our students' educational experience. This viewpoint is supported by NCTM and the Common Core State Standards for Mathematics (CCSSM).