LANGARA COLLEGE MATH 1190 FUNDAMENTAL CONCEPTS & PRACTICES OF MATHEMATICS COURSE OUTLINE (200830) Instructor: Nora Franzova Office: B019g Telephone: 604-323-5231 email: nfranzov@langara.bc.ca Office Hours: Mon: Tues: Wed: Thurs: OR by appointment COURSE OBJECTIVES: To develop an understanding of fundamental mathematical concepts from elementary number theory, elementary probability & statistics, and elementary geometry. To develop facility with fundamental mathematical practices such as problem solving, identifying patterns, using models, and reasoning and communicating. To develop a healthy attitude about mathematics and the confidence to learn and do mathematics beyond this course. INTENDED LEARNING OUTCOMES: Successful students will be able to display appropriate understanding of, and practice with, the following: Stages of problem solving and strategies for progressing through them Fundamental mathematical reasoning and communication Current and historical number systems Properties of, and models for, various types of numbers, and models and algorithms for arithmetic operations (including mental computations) with them Interpretation and creation of elementary statistical measures and data displays Fundamental concepts from probability Fundamental concepts from geometry, including names and properties of various geometric objects. PREREQUISITES: "C" or higher in Principles of Mathematics 11 OR Applications of Mathematics 12, OR "C-" in Principles of Mathematics 12, OR "S" in MATH 1101, OR permission of the department based on performance on the Mathematics Diagnostic Test (MDT 58). TEXTBOOK: Mathematics for Elementary Teachers by Bennett & Nelson 7 th edition Optional: Student s Solutions Manual 1
CONTENT: PROBLEM SOLVING: Chapter 1 (sec. 1.1-1.3) NUMBER THEORY: Whole Numbers Chapter 3 (sec. 3.1-3.4) Number Theory Chapter 4 (sec. 4.1-4.2) Integers & Fractions Chapter 5 (sec. 5.1-5.3) Decimals, Rational Numbers Chapter 6 (sec. 6.1-6.3) PROBABILITY & STATISTICS: Statistics Chapter 7 (sec. 7.1-7.2) Probability Chapter 8 (sec. 8.1-8.2) GEOMETRY: Geometric figures Chapter 9 (sec 9.1, 9.2, 9.4) Motions in Geometry Chapter 11 (sec. 11.1-11.2) MARK DISTRIBUTION: 10% Journals 10% Assignments 20% Project 30% Term Tests (2) 30% Final exam The following grade distribution will be used as a guideline only in determining final course grades. Final letter grades are at the discretion of your instructor, particularly in borderline cases. See notes below. A+ A A- B+ B B- C+ C C- D F 96-100 85-95 80-84 77-79 73-76 68-72 63-67 58-62 53-57 48-52 0-47 1. Consistency in your entire term s work is required: that is, a student should obtain a grade on the final exam which is consistent with the grade for the term work in order to be sure of receiving the expected letter grade. 2. In multi-sections courses, term grades may be adjusted across sections at the end of term. 3. Any act of cheating or plagiarism is a serious offence and it will be dealt with accordingly. NATURE OF THE ASSESSMENT INSTRUMENTS: JOURNALS: The journal entries will focus on a variety of themes as we go through the course. These are writing intensive assignments and are designed to help future teachers putting their mathematical thoughts into reasonable and clear words. There will be 8 journals collected during the semester. Out of these 8 journals, 3 will be marked at random. For handing in the 8 journals, you will receive 4% (half a percent for handing in each journal), and each of the three journals that is marked will get an extra 2% which will be total of 10% for all journals. Grading of this work will be subjective. 2
Journals are to be handed in at the beginning of class on the day they are due. Late journals will only be accepted until the beginning of the next class. Journal assignments should include a cover sheet, stapled to the assignment, which includes the following information: full name, student ID, date, journal number OR you can submit journal in Blackboard if that is more convenient. ASSIGNMENTS: Problem sets will be assigned weekly and are to be handed in at the beginning of class on the day they are due. Late assignments will be accepted until the beginning of the next class, but they will lose one mark for each day they are late. MATH FAIR PROJECT: In teams of three or four, students will prepare a term project consisting of two parts: a poster board display for a Math Fair that we will host (see schedule) and a paper discussing the mathematics underlying the project. The nature of the displays and the grading scheme for the project will be more fully described as the term progresses. TERM TESTS: There will be 2 tests during the term worth 30% of the total grade. Term tests are to be written when scheduled, unless a medical certificate is provided, or there is some other acceptable reason for your absence. You must contact me before the exam date, unless the absence is due to an emergency. A missed exam will result in a grade of zero unless there is a substantiated reason why you could not be there and you inform me before the exam. In any case, I do not give make-up exams. If there is an acceptable reason why you missed the exam and you have informed me before the exam we may be able to negotiate some other mark distribution. FINAL EXAM: A two-hour cumulative Final Exam will take place in the exam period at the end of the term. The date and time will be announced near the end of the term. You must make yourself available during the final examinations period (Dec. 5-15). I will not re-schedule final exams. Any conflicts should be directed to General Office, Room B234. Please read the Final Examinations section in the Calendar for proper procedures. Attendance: You should plan to attend regularly and punctually. It is mandatory that you keep up with the material presented in class, hence you cannot afford to be late for, or to miss, a class. In the event that you must miss a class, I would appreciate a telephone call or an email. If you do this, then over the phone I can describe what we will be studying so that you can do your best to learn it before returning to the next class. Also with such a call, we can make arrangements about any work that might be due or in-class activity that might be planned without such a call work due will be considered late and in-class work will not be made up. In case that you miss a class, you should know that I cannot repeat lectures for people who missed a class, but if I know that you made an effort to learn what was missed I will be very willing to help you with difficulties you encounter. 3
Study Habits: For each classroom hour you should expect to spend at least two hours working on this course outside the classroom. This work should include the following: -studying the notes from the previous class in preparation for the next class -reading relevant material in the textbook -doing problems from the relevant textbook exercise set -putting in some time on your assignments, journals, and projects If during out of class study time you run into difficulties, try not to get frustrated, and try to use your time efficiently. Make note of what troubled you and move on to something else. Return to your problem later and if you are still stumped then seek tutorial help. Tutorial Help: No doubt throughout our course of study there will be some issues for which you could use some extra tutorial help this is part of learning and should be expected. Such help is available from me during my office hours (or by appointment), or from tutors in the Math/Stat Activity Centre (L207). In addition, you may find your fellow students to be very good at helping you understand something. Learning resources available to you outside the classroom: 1) The Math/Stat Activity Centre (L207): a drop-in tutorial centre staffed by department members and, sometimes, by senior students. In addition to the tutors, the centre houses a variety of resources for tutorial help, such as micro-computers, video tapes and books. This service is free to all Langara math students. A schedule of hours of operation will be posted early in the term. 2) My office hours: I am available for help during the hours noted above. If these times do not fit your schedule, please make an appointment for some other time. 3) The Library: The reserve desk has a solutions manual for the text. The stacks contain a variety of other texts for reference. In addition, there are quiet study areas throughout the library, and the Math/Activity Centre is on the fourth floor. 4) The Online Learning Center at www.mhhe.com/bennett-nelson CLASS CANCELLATIONS: Information regarding class cancellations will be posted in the following designated areas only: My Langara web page Registrar s office (outside reception-east wall)- B building Opposite the Information Booth (main foyer)- A building NOTICES WILL NOT BE POSTED ON CLASSROOM DOORS OR ON BOARDS. 4
TRANSFER CREDIT: SFU: Math 190-3, TWU Math 190-3, UCC Math 190-4, UBC: 3 Math credits at the 200 level and exemption from Math 335 UNBC: 3 Math credits at the 100 level BCOU: 3 Math credits, UCFV: Math 105-4, Kwantlen Math 1190, Malaspina Math 131 Guideline for handing-in homework and journal: 1. Each assignment HAS TO have a cover sheet that includes: a. Your full name (first AND last name) as it appears on your students ID card, b. Student ID number, c. The date that the homework or journal was turned in, d. The homework or journal number. Failing to do so, will cause a loss of 25% of that homework or journal s grade. 2. I will permit collaboration of up to three people on homework assignments (not on journals unless otherwise mentioned) as long as such a team submits a paper identifying all participants names on its cover sheet. All members of such a team will receive the same grade for the assignment. If students wish to hand-in group assignments, they all need to know every assignment they hand-in. Additionally, when work is submitted individually it MUST REPRESENT THAT INDIVIDUAL S WORK (not the work of a classmate, a tutor or an internet resource). Anyone breaching this expectation of academic responsibility will be formally warned once but thereafter sanctioned more severely. 3. ALL ASSIGNMENTS and journals SHOULD BE HANDED-IN STAPLED, CLEAN, AND READABLE. OTHERWISE, THEY CAN LOOSE UP TO 50%. THE AMOUNT LOST FOR NOT MEETING THE ABOVE REQUIREMENTS IS AT THE DISCRETION OF THE INSTRUCTOR. 4. When submitting as a team online (use Blackboard only), each members submits a copy and identifies all names on the top of the assignment. 5
Course Calendar-Math 1190 section 1 Effective Sep 1 th to Dec 2 nd, 2008 Week 1 Sep 1-5 Week 2 Sep 8-12 Week 3 Sep 15-19 Week 4 Sep 22-27 Week 5 Sep29-Oct4 Week 6 Oct 6-11 Week 7 Oct 13-18 Week 8 Oct 20-25 Monday Tuesday Wednesday Thursday Labor Day 1.1 Journal 1 1.1, 1.2 Journal 2 1.3 Journal 3 3.2 Journal 4 3.4 Assignment 4 4.2 Thanksgiving Journal 5 5.2 Week 9 Oct27-Nov 1 6.1 Week 10 Nov 3-8 Week 11 Nov 10-15 Week 12 Nov 17-22 Week 13 Nov 24-29 Week14 Dec 1-6 Journal 6 6.2 EXAM 2 Journal 7 11.1 College Closed Assignment 1 1.2 Assignment 2 3.1 Assignment 3 3.3 Project Proposals Due 4.1 EXAM 1 Assignment 5 5.1 Assignment 6 5.3 Math Fair 6.3 Papers Due 9.1, 9.2 Assignment 7 9.4 11.2 Assignment 8 7.1, 7.2 Journal 8 Study Day Last class 8.1, 8.2 December 5 th to 15 th is Exam Period 6