GeoGebra proved to be a very beneficial technology source during today’s theorem exploration. It allows students to construct shapes, see relationships, and draw conclusions about information and theorems. Not only is a great geometry source, it includes other features such as algebra, graphing, and spreadsheets. Exploring theorems isn’t an easy task in geometry but by building procedural fluency from conceptual understanding, students become skillful in using procedures to solve mathematical problems. Theorems are also a great productive struggle source for students as well. As I mentioned before, the goal of the activity in the Teacher Discussion portion of this exploration was for students to discover the theorem for themselves and for them to come to their own conclusions. Therefore, “correct solutions are important, but so is being able to explain and discuss  how one thought about and solved particular tasks” (National Council of Teachers of Mathematics, 2014, pp. 49).  I highly suggest you explore the Two Secant Angle Theorem for yourself. You just find a new passion in geometry.

Remember, life without geometry is pointless.

 

 

Resources

About GeoGebra. (n.d.). Retrieved November 30, 2018, from https://www.geogebra.org/about.

Alabama Department of Education. (2016). Alabama college and career ready             standards for mathematics. Montgomery, AL: Author. Downloaded from http://bit.ly/alcos-math2016.

Angle of Intersecting Secants Theorem. (n.d.). Retrieved November 30, 2018, from https://www.varsitytutors.com/hotmath/hotmath_help/topics/angle-of-intersecting-secants-theorem.

National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author.

Pennington, L. (n.d.). Arc Measure: Definition & Formula. Retrieved December 3, 2018, from https://study.com/academy/lesson/arc-measure-definition-formula.html.

Secant Line. (n.d.). Retrieved November 30, 2018, from http://mathworld.wolfram.com/SecantLine.html.