MATH 512: Professionalized
Subject Matter in Geometry Spring 2012
Reference Number: 2390 (graduate); 2825 (undergraduate)
Meeting Times and Room: W 7:05-9:35, K237
Instructor: Dr. Sandra Caravella Office: K520 (in Math Dept, K506)
Email: email@example.com Phone: 201-200-3348
Office Hours: M 11-12; W 6-7; Th 11-12, 1-2, 4-5
Required Textbook: Leff, L.S. (2010). Let’s review: geometry. Barron’s Review Course Series. Barron’s Educational Series, Inc: Hauppauge, NY.
ISBN-13: 978-0-7641-4069-3; ISBN-10: 0-7641-4069-8
Course Description Credits: 3
This course provides a review of fundamental concepts of geometry and an investigation of their significance in teaching of secondary school mathematics. Concepts to be analyzed include: logic, proof, and axiomatic systems; physical and geometric models; sets, relations, and transformations; non-metric and metric concepts; and coordination of spaces. Attention is given to: historical considerations bearing on the teaching of geometry; integration of geometry with algebra and science; and significant literature on the subject. This course requires evidence that the student can make effective use of these concepts in the classroom.
· Use basic concepts of geometry to solve a variety of geometry problems.
· Examine the significance of fundamental concepts of geometry in the teaching of secondary school mathematics.
· Develop geometric proofs within the context of a specific axiomatic system.
· Examine the role of axiomatics in secondary school geometry.
· Identify geometrical and algebraic relationships.
· Examine the interaction of algebra and geometry in the curricula for secondary school geometry.
· Create and present a geometry lesson or lesson plan that effectively uses concepts learned in the course.Course Requirements
Your grade will be based on:
There will also be weekly ungraded homework assignments. Tests and quizzes will be based on these assignments, plus whatever is covered in class.
Determination of Grade
Your final average will be determined by the following point system.
3 quizzes 100 pts (30-40 pts each quiz)
Midterm 100 pts
exam 100 pts
Weekly assignments 50 pts
Final lesson plan 50 pts
Grade Scale (rounded percentage of total points): 93-100 (A); 90-92 (A-); 87-89 (B+); 83-86 (B); 80-82 (B-); 75-79 (C+); 70-74 (C); 65-69 (C-); 55-64 (D); below 55 (F).
If higher, your final exam score will replace the lowest of your midterm score, your cumulative quiz score, or your combined weekly assignment/final lesson plan score.
Make Up PolicyIf you are absent on the date of a test or quiz, you must contact the instructor immediately to explain why you were absent and to request permission to make up the test or quiz. This permission is not automatic; you must present the instructor with a valid excuse for your absence and, in some cases, appropriate documentation. Do NOT wait until the class meets again to contact the instructor—send an email or call and leave a voice mail if necessary.
Late Work Policy
The instructor reserves the right to refuse any work that is submitted late. If late work is accepted, points may be deducted for lateness.
Midterm: March 7
Final: May 9
Bennett, D. Exploring geometry with the geometer’s sketchpad. Key Curriculum Press: Emeryville, CA.
Common core state standards for mathematics. (2011). Common Core State Standards Initiative, http://www.corestandards.org/.
Crane, T.V. & Rubenstein, R., eds. (2009). Understanding geometry for a changing world: Seventy-first yearbook. National Council for Teachers of Mathematics: Reston, VA.
DeVilliers, M.D. Rethinking proof with the geometer’s sketchpad, Key Curriculum Press: Emeryville, CA.
National library of virtual manipulatives in geometry. (2010). http://nlvm.usu.edu/en/nav/topic_t_3.html.
Principles and standards for school mathematics. (2000). National Council for Teachers of Mathematics: Reston, VA., http://www.nctm.org/.
The Geometer’s Sketchpad resource center. (2009). http://dynamicgeometry.com/.
Topics include: the language of geometry; parallel lines and polygons; congruent triangles; special quadrilaterals; ratio, proportion, and similarity; circles and angle measurement; transformation geometry; and coordinate geometry.