The content review is the alignment of my non-traditional college experience (in engineering rather than math education) with the core requirements of a well-prepared math teacher. The full document is linked below. After the initial writing, this document was reviewed by a professor who specializes in math education. The professor highlighted areas of concern and created a list of specific actions I needed to take to demonstrate competency. These areas and how I addressed them are listed below.
D. Geometry: show work from time spent student teaching in a Geometry classroom.
In addition to time spent in the classroom, I generated the following deliverables to capture my learning as a teacher of Geometry.
Two daily quizzes/day for 3 lessons: these were used to better measure instantaneous learning amongst students at the middle of class and the start of the next day. Each quiz is shown on the projector. There are 6-8 questions, each numeric or multiple choice (for computer grading), that check understanding at a basic and then more advanced level. The topics include congruence (ASA, SAS, SSS, AAS, HL, and SSA), proof writing, and angle measures of regular polygons. See "Unit 3 Daily Quizzes.pdf" below to view the assessments in a single document
Video demo of Geogebra similarity interactive tool:
First link: http://www.geogebratube.org/student/m6222
Second link: http://www.geogebratube.org/student/m8113
H1. History of math: show documentation of how the history of math was incorporated into one lesson.
See "History Lesson Plan.docx" below. It is a Geometry lesson relating to the Great Pyramid at Giza.
H2. Multiple views of math: show documentation of multiple views of math being incorporated into a lesson.
H3. Technology and manipulatives: include a list of what technology and manipulatives are used in the classroom.
See technology list and uses page.
I. Pedagogy: show exemplary lessons and assessment.
See lessons, projects, and assessment from Statistics (Minute to Win It Unit) or Algebra 2 (Logarithms/Exponentials Unit).