# Mathematics 301: Elementary Geometry COURSE SYLLABUS: Fall 2013

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1 Mathematics 301: Elementary Geometry COURSE SYLLABUS: Fall 2013 Instructor: Vanessa Huse, Ed.D. Office Location: Bain Center, 228 Navarro College Center-Corsicana Office Hours: Wednesday 2:00-5:00, Online Tuesday and Thursday 8:00 9:00 Office Phone: Office Fax: University Address: Materials Textbooks and Software: COURSE INFORMATION Elementary Geometry for College Students, 5th Edition, Daniel C. Alexander Geralyn M. Koeberlein ISBN-10: ISBN-13: Optional: A calculator graphing is better Course Description: Topics from plane and solid Euclidean geometry will be covered, including the properties of parallels, perpendiculars, triangles, and circles along with perimeter and formulas for area of plane regions and for the surface area and volume of solids. Prerequisite Math 351. Course Competencies: The beginning teacher of middle school mathematics should know and understand: 1. how to use spatial reasoning to investigate concepts such as directions, orientation, perspective, shape and structure; 2. the use of mathematical reasoning to develop, generalize, justify and prove geometric relationships;

2 3. connections among geometric ideas and number concepts, measurement, probability and statistics, algebra and analysis; 4. measurements as a process; 5. methods of approximation and estimation and the effect of errors on measurement; 6. how to use measurement to collect data, to recognize relationships, and to develop generalizations, including formulas; 7. how to locate, develop, and solve real-world problems using measurement and geometry concepts; 8. how to explore geometry for synthetic, coordinate, and transformational approaches; 9. logical reasoning, justification and proof in relation to the axiomatic structure of geometry ; 10. how geometry, spatial reasoning and measurement concepts and principles are developmental and connected across grade levels. Student Learning Outcomes: When you complete this course, you will be able to: 1. develop, justify and perform geometric constructions using compass, straightedge and reflection devices and other appropriate technology; 2. investigate and prove geometric relationships within the axiomatic structure of Euclidean geometry; 3. analyze and solve problems involving one, two and three dimensional objects such as lines, angles, circles, triangles, poygons, cylinders, prisms, and spheres; 4. analyze the relationship among three dimensional figures and related two dimensional representations and use these representations to solve problems. 5. apply measurement concepts and dimensional analysis to derive units and formulas for a variety of situations including rates of change of one variable with respect to another 6. use symmetry to describe tesselations and show how they can be used to illustrate concepts, properties and relationships 7. relate geometry to algebra and trigonometry by using the Cartesian coordinate system and use this relationship to solve problems 8. use calculus concepts to answer questions about rates of change, areas, volumes and properties of functions and their graphs. COURSE REQUIREMENTS Instructional / Methods / Activities Assessments The goal of this course is to develop understanding of the mathematics. We are constantly going to be dealing with WHY more than HOW. As a future teacher you must be able to explain mathematics to your students, not just show them how to carry out mathematical procedures. We will focus on underlying structures and development of ideas. In addition, problem solving is a major component of this course. As a future mathematics teacher, you need to become familiar with and skilled in various types of problem solving techniques that are commonly used in mathematical thinking.

5 7. Referral to the University Discipline Committee. 8. Communication of student's behavior to the Teacher Certification Office and/or Dean of the College of Education as constituting a reason to bar student from entering into or continuing in a teacher certification program. Procedures, A 13.04, 13.12, 13.31, and ADA Statement The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you have a disability requiring an accommodation, please contact: Office of Student Disability Resources and Services Texas A&M University-Commerce Gee Library 132 Phone (903) or (903) Fax (903) Student Disability Resources & Services COURSE OUTLINE / CALENDAR The course calendar is in ecollege listed by week. Assignments will be opened on Monday and will not be due until the next Sunday at midnight. Testing for the midterm and final will be face-to-face, which means in person. Dates and times are listed below. If you are a student out of the State, please me for instructions for testing. Midterm October 10 Commerce 7:00-9:00 October 16 Corsicana 3:00-5:00 Final December 5 Commerce 7:00-9:00 December 11 Corsicana 3:00-5:00

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