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Mathematics 67-217 (3 credits) Number Systems Spring 2011 Instructor: Dr. Amy Parrott Office: 223 Swart; Phone: 424-2305; E-mail: [email protected] Prerequisite: A minimum grade of C in 67-110 (Number Systems) is required. Course Objectives: This course is designed to provide you with experience collecting, analyzing and displaying data, and an understanding of statistical techniques, probability, and simulation. It will give you the skills to interpret statistical claims, and provide you with knowledge you will need to teach probability and statistics to elementary school children. Office Hours: I encourage you to stop by my office whenever you have questions about the material covered in class or a current assignment. You may also stop by if you just want to chat about mathematics and/or education or anything else on your mind. I am available: • Monday, Wednesday and Friday 11:00-12:00 in my office (Swart 223) and Tuesday from 11:30-12:30 in the Math Lab (Swart 113). • I am happy to meet with you during other times if these do not work with your schedule. Please see me after class or send me an e-mail to schedule a time. • In addition, the Swart Math Lab has free, drop-in, peer tutors there to help you. Textbook: Szydlik, J. and C. Seaman (2010). Big Ideas in Mathematics for Future Elementary Teachers: Big Ideas in Data Analysis and Probability. This text is available at the University Bookstore. Course Outline: Unit 1: Proportion and Sampling Unit 2: Dealing with Data Unit 3: Relationships Among Sets of Data Unit 4: Counting Unit 5: Probability Format and Attendance Policy: Most class time will be spent solving interesting problems in small groups and discussing problem solving ideas and solutions as a class. Sometimes you will be asked to write up those ideas and solutions for me. Sometimes we will just discuss them. But always you are expected to think about the problems, participate in their solutions, and communicate your ideas with others. This format gives you the opportunity to practice skills you will need to be a teacher: listening and making sense of other people’s mathematical ideas; explaining your ideas to others (both orally and in writing); understanding that people think about problems in many ways; and learning to help others understand mathematical ideas. Because it is so important for your own learning and the learning of your fellow classmates, I expect that you will attend and fully participate in class. If you must miss class for any reason, it is your responsibility to inform me prior to the absence, when possible, and to understand the material that you missed due to your absence. Your course grade may suffer if you miss too many class periods. Grading: Your grade in this will be based on: • Problem Write-Ups (20%): there will be five problem write-ups. Each will be submitted for peer review and must follow the guidelines for problem write-ups*. • Peer Critiques (5%): you will peer edit your classmates write-ups before the final copy is due. • Daily homework (5%): this is scored in class on the date it is due. Each homework will receive 0, 1 or 2 points. (2 points complete/full attempt, 1 point partially complete/not full attempt, 0 points not done or absent) You must be present in class for your homework to be graded. The lowest two scores on your homework will be dropped. • Quizzes (5%): these will be announced. • Group Project (5%): you will be performing a statistical survey of our class. • Three in-class exams (20% each): the exams will take place after the completion of Unit 2, Unit 3 and Unit 5 and are tentatively scheduled for: March 2, April 1 and May 13. The grading scale will be no stricter than: A: 93 - 100 B: 83 - 87 C: 73 - 77 D: 63 - 67 % % % % A-: B-: C-: D-: 90 - 92 % 80 - 82 % 70 - 72 % 60 - 62 % B+: C+: D+: F: 88 - 89 % 78 - 79 % 68 - 69 % 0 - 60 % *Guidelines for Problem Write-ups: Problem write-ups should be typed (you may hand draw diagrams or write mathematics in ink) and include the following sections: 1. (5pts) A paragraph giving an explanation of the question or problem. (Do not simply copy the problem; convince me you understand the question and define ambiguous terms or notation.) 2. (5pts) A paragraph description of the problem-solving strategies you tried. (What did you do to work on the problems including methods that were not successful? Be specific as to why they did or did not work.) 3. (10pts) An explanation of the solution (What is the answer to the question? Why does your solution make sense mathematically? Argue that it is a complete solution, i.e. there are no other solutions, and prove it is correct.) Academic Honesty Policy: Cheating on an exam, plagiarizing or any other form of academic dishonesty will be dealt in accordance with the current UWO Student Discipline Code. The instructor reserves the right to assign a grade of “F” for the course should circumstances warrant.