I spent a decade as a teacher at colleges and universities in Central and North Indiana. These include Purdue University, Notre Dame and Wabash University. In 2005 the opportunity arose to enter secondary education and become a high school mathematics instructor. My undergraduate major was in mathematics. (Indeed I graduated with over 40 semester hours of mathematics; my G.P.A was a 4.0.) I jumped at the opportunity and since have specialized in geometry. I teach both Honors and College Prep geometry courses.
My method is Socratic. By a process of question and answer, I lead students to construct for themselves the knowledge that I wish them to acquire. My lesson plans reflect this pedagogical philosophy. They systematically lead students to draw those conclusions that constitute the content of the day's lesson. Thus my lesson plans are interactive. The teacher does lead, but they are designed so that the students participate in the solution of all problems and the construction of all proofs.
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B.S. in Mathematics, Summa Cum Laude, Middle Tennessee State University (1990) Ph. D. in Logic and Philosophy of Language, High Pass, Purdue University (1998)
In the weeks to come, I will post a set of PowerPoints for a complete course in geometry. The sequence that I will follow is this: 1. Introduction to the Fundamental Concepts of Geometry 2. Introduction to Proof Construction 3. Parallel Lines 4. Congruent Triangles 5. Relationships in Triangles 6. Similar Triangles 7. Trigonometry and the Geometry of Right Triangles 8. Quadrilaterals 9. Transformations 10. Circles 11. Areas of Polygons 12. Surface Area of Polyhedra 13. Volume of Polyhedra