EDSC 353 - Teaching Secondary Geometry University of Nevada, Reno College of Education Instructor: Dr. Robert J. Quinn Instructional website: http://bobquinn.edublogs.org/ Office: William Raggio Building 3112 Office phone: 682-7526 eMail address: quinn@unr.edu Office hours: Thursday - 11:50 AM to 3:50 PM or by arrangement Teaching assistant: Kazi Shahidullah Class schedule: Thursday 7:00 to 9:45 PM Required text: Discovering Geometry: An Investigative Approach, Fourth Edition by Michael Serra Catalog description: (3+0) 3 credits. Pedagogical techniques embedded within the mathematical content of high school geometry. Conceptual Framework The purpose of this course is to prepare secondary mathematics education majors for the teaching of Euclidean geometry. This purpose will be achieved by addressing each of the major goals of the College of Education: (a) to possess a love of learning; (b) to develop a strong fund of knowledge; (c) to engage in reflective practice; and (d) to value democracy and diversity. Course Objectives The specific goals listed below will ensure preparation for teaching that is consistent with the College of Education's Knowledge Base. Upon completion of this course, the student will be able to: 1. 2. 3. 4. 5. Solve problems appropriate to a Euclidean Geometry class using multiple strategies. Explain concepts appropriate to a Euclidean Geometry class in a manner that would be understandable to students. Rigorously prove theorems typically included in Euclidean Geometry. Explain the nature of proof and consider its role in a Euclidean geometry class. Model appropriate geometric situations using Geometer’s Sketchpad. EDSC 353 Syllabus-page 1 6. 7. 8. 9. 10. 11. 12. 13. 14. Provide inductive evidence of various geometric situations using Geometer’s Sketchpad. Describe means by which various topics in Euclidean Geometry can be taught using Geometer’s Sketchpad. Explain the role of technology in the teaching of Euclidean Geometry. Use construction tools to perform appropriate geometric constructions. Explain the role of constructions in the teaching of Euclidean Geometry. Describe the different experiences that must occur to facilitate the learning of Euclidean Geometry. Explain instructional strategies appropriate for teaching Euclidean Geometry. Communicate geometric concepts effectively, both orally and in writing. Define and discuss the teacher's role in the geometry classroom, including responsibility to the diversity of students and their various learning styles. Performance Assessment Requirements 1. Class participation. Attendance is mandatory. Participants should demonstrate active participation during class. Much of what is learned in this class should come from class activities and discussions. Notes or class readings do not always convey the same learning that is developed in class. Therefore, missing class means missing a large portion of this learning development. Each unexcused absence will result in a 6-point deduction from your point total. Make-up work for unexcused absences will not be given. Excused absences will result in a deduction of 3 points each if make-up work for that class is not completed. There will be no deduction for the first two excused absences if make-up work is completed. After the second excused absence a 3-point deduction will be made for any additional excused absences. It is your responsibility to inform the instructor BEFORE an excused absence and to arrange for make-up work. Domain 5. 2. Content Quizzes. Throughout the semester, 8 quizzes will be given (denoted by an “*” on the schedule). Domain 2. 3. Reflections on Readings. Throughout the semester, two reflections of reading assignments will be made. Domains 1, 2, & 3. 4. Geometer's Sketchpad Assignment. This assignment will include a thorough critique of Geometer's Sketchpad and a discussion of how you would use Geometer’s Sketchpad to teach a particular topic. Domains 1, 2, & 3. EDSC 353 Syllabus-page 2 5. Final Examination. This exam will involve both creating and solving problems. All material covered throughout the course will be included. Domains 2, 4, & 5. Point Distribution Eight Quizzes Reading Reflections Geometer’s Sketchpad Assignment Final Examination Unexcused absences Excused absences (no make-up work) Excused absences (3rd or more) 80 20 10 70 -6 (each) -3 (each) -3 (each) Total points 180 Grading Scale A B C D 167 to 180 149 to 154 131 to 136 113 to 118 ABCD- 161 to 166 143 to 148 125 to 130 107 to 112 B+ C+ D+ F 155 to 160 137 to 142 119 to 124 < 112 Note 1: Your student fees cover usage of the Math Center, Tutoring Center, and University Writing Center. These centers support your classroom learning; it is your responsibility to take advantage of their services. Keep in mind that seeking help outside of class is the sign of a responsible and successful student. Note 2: Any student who qualifies with a disability should provide the instructor with a letter from the Disability Resource Center (DRC) stating the appropriate accommodations for this course. If you have a documented disability and wish to discuss how these academic accommodations will be implemented for this course, please contact the instructor as soon as possible. Note 3: The University of Nevada, Reno holds high expectations with regard to academic honesty. Any violation of university policy will result in serious consequences that may lead to a failing grade in this class or, in extreme cases, dismissal from the program. Please consult the University of Nevada, Reno Statement on Academic Honesty. Note 4: This document represents the instructor’s best attempt to delineate the assignments of the course. The contents of these pages are subject to change as the course unfolds. The instructor will inform students of any changes that are deemed necessary as soon as possible. EDSC 353 Syllabus-page 3 Tentative Course Calendar (Thursdays) 8/30 Introductions Geometer’s Sketchpad Chapter 0 - Geometric Art Chapter 1 - Introducing Geometry 9/6 Chapter 2 - Reasoning in Geometry 9/13 *Chapter 3 - Using Tools of Geometry 9/20 *Chapter 4 - Discovering and Proving Triangle Properties 9/27 *Chapter 5 - Discovering and Proving Polygon Properties 10/4 Chapter 6 - Discovering and Proving Circle Properties 10/11 *Chapter 7 - Transformations and Tessellations 10/18 *Chapter 8 - Area 10/25 Chapter 9 - The PythagoreanTheorem 11/1 *Chapter 10 - Volume 11/8 Chapter 11 - Similarity 11/15 *Chapter 12 - Trigonometry 11/22 Thanksgiving Holiday - No Class 11/29 *Chapter 13 - Geometry as a Mathematical System 12/6 Review for Final Examination 12/13 Final Examination EDSC 353 Syllabus-page 4