1	Homepage for Doug Ruby Updated 1/15/2004
2	Contents Pictures of Family Pictures of 1955 Chevrolet Pickup Professional Academic Publications Development of Concepts - p Project Geometry Lesson Plans and Projects Algebra Lesson Plans and Projects Trigonometry Lesson Plans and Projects
3	Family Pictures The “PR” shot – from my executive days My wife Pat and I Family photo – Christmas 2003 Greg after working at the stone yard
4	Pictures of the 1955 Chevy Pickup Original Truck - 1995 Same Truck - 2003 Exterior – looks awesome! Interior – rides awesome Engine – runs awesome! This 1955 pickup was purchased when Greg was 12 yrs. old. It is now a trophy winning truck and is a “gas” to drive!
5	Publications and Papers – 2000-2002 Professional Papers Ethernet in the first mile, Ruby, D. (2001), Data Communications, 9/17/01 Note: numerous other professional publications prior to retirement in 2000 Academic Papers Diversity in the Classroom - Multicultural math for middle schools, Ruby, D., Tometich, L., & Willis, M (2002) - presentation Theories of Learning - Calculator use in elementary math education, Miller, D., Pease, M, Ruby, D, & Shapiro, R (2002) Development and Assessment - Gender Issues in Education, Ruby, D. (2002) – lesson plan and presentation Math for Middle School Teachers – Simplifying Fractions, Ruby, D. (2003)
6	Development of Concepts - p project Developed for Dr. Regina Panasuk’s Development of Concepts Course – Summer 2002 A passion for p - Ruby, D. and Tarnow, D., published in Journal of Colloquium on Research in Mathematics and Science Education, Volume VII, April 2003, University of Massachusetts Lowell, Dr. Regina Panasuk, Editor Platonic Pi and Renaissance Pi – two overview presentations Pi in renaissance England, Ruby, D. (2002) Using an inscribed polygon to estimate pi, Ruby, D. (2002) Rectangular approximation of the area of the unit circle, Ruby, D. & Tarnow, D. (2002) Using the Gregory-Leibniz series to approximate pi, Ruby, D. & Tarnow, D. (2002) Using the Gregory-Leibniz series for arctan x & trigonometry to derive Machin’s formula for calculating pi, Ruby, D. & Tarnow, D. (2002). Deriving pi using a Taylor-MacLaurin series, Ruby, D. & Tarnow, D. (2002)
7	Geometry Lesson Plans and Projects College Geometry Projects – Prof. Stick Triangle Sum and Exterior Angles - Lesson Plan Morley’s Theorem and Triangle within a Triangle - Lesson Plan Analytic Proof of Triangle within a Triangle – (advanced) Construction of a 9-point Circle – advanced Inquiry Projects – Prof. Stone Dividing the Pi - Lesson Plan Tubes are Fun - Lesson Plan Final Projects – Prof. Stick Using Cabri Jr. on a Ti-83+ Using Maple (simple project) Analytic Proof of area of triangle formed by median Spherical Geometry problem Properties of a hexagonal pyramid Geometric Proof of common chord of two intersecting circles Properties of Parallelogram bisectors
8	Algebra Lesson Plans and Projects Long Division and Synthetic Division of Polynomials A 3 day lesson plan for High School Algebra II Delivered while doing pre-practicum at Westford High School
9	Trigonometry Lesson Plans and Projects Trigonometric Functions Unit Plan Review of Geometry of Triangles, Circles, and Pythagorean Theorem Trigonometric Functions of the Acute Right Triangle Applications of Trigonometry Angles in all four quadrants in standard positions Degrees and Radians (Part I) Degrees and Radians (Part II) The Unit Circle, trigonometric functions in the Cartesian plane Arc Lengths, angular acceleration, and rotational speed Quiz 1 and Quiz 2 Graphing of Trigonometric Functions using TI-83+