Course Syllabus
Course Prefix and Number: MATH 342
Course Title & Credit Hours: Math Concepts for Teachers II Syllabus, 3 credit hours
Dakota State University
Academic Term, Year: Fall 2009 (August 31 - December 18)
Course Meeting Time and Location: Internet Course, final must be taken by December 18th (earlier is fine)
Instructors Contact Information:
Dr. Richard Avery
Office: 208b Lowry Hall
Telephone: 256-5188
E-mail: rich.avery@dsu.edu
Office Hours: I will respond to email every working day and I will respond on most weekends as well. Please send me an email (preferably through Desire2Learn email) and I will get back to you as soon as possible (expect 24 hour turn around during the week, no guarantees on the weekends). The hours listed below are the times I am scheduled (I do occasionally get called out of the office during these times, but not very often – regardless, the preferable communication tool is email) to be in my office on the DSU campus and my phone number is listed above if you would like to call me during these times (you can call at any time, but I may not be in the office – email is the best way to contact me).
Monday: 10:00-11:50
Office Hours: Tuesday: 9:00-11:50
Wednesday: 10:00-11:50
Thursday: 9:00-11:50
Additional office hours by Discovery or Appointment.
Course Description: An introduction to geometry concepts, measurement, problem solving, probability, statistics, and other topics. (2008-2009 DSU Catalog)
Course Prerequisites: MATH 102, College Algebra
Technology Skills: Desire2Learn (D2L) will be used to deliver course supplements as well as serving as a communication tool between students and instructor. MyMathLab will be used for all homework, quizzes and exams. Students must run the installation wizard linked on the announcements page before they will be able to complete the MyMathLab Homework assignments as well as take Quizzes and Exams. Note: students must download the TestGen PlugIn. See the MyMathLab Navigation and Registration files on the Desire2Learn (D2L) course site for more details.
Description of Instructional and Course Delivery Methods: Students learn mathematics by doing mathematics. Lessons and assignments are developed to engage students and facilitate learning. (ACTIVE LEARNING) This is a competency based course with online homework, quizzing and testing components using MyMathLab. During the academic year there are on campus sections which use the standard lecture format and Internet sections which take advantage of the full capabilities of MyMathLab (videos included).
Course Requirements:
Required Textbook(s) and Other Materials: Billstein, Libeskind and Lott, Mathematics for Elementary School Teachers (10th Edition), (Pearson Education, Inc, New York, 2009). Students are required to purchase a MyMathLab access code (comes bundled with a new textbook). Students may choose not to purchase a hard copy of the book, an electronic copy of the sections of the book for this course is contained in the MyMathLab course site as well as many supplemental resources. You can purchase an Access Code at the DSU bookstore or online at www.coursecompass.com (the advantage of purchasing online is that in the unlikely event you drop or withdraw from the course there is an avenue to get a refund as explained under the Student section of Getting Started at www.coursecompass.com). Note, if you have already taken Math 341 or Math 342 (using version 10) you may not need to buy an Access Code, check to see if your access code is still valid by following the instructions under Getting Started for multi-semester registrations at www.coursecompass.com.
Course ID: avery44182 is the MyMathLab course access code for Fall of 2009.
Getting Started with MyMathLab: Go to the CourseCompass website (powers MyMathLab) at www.coursecompass.com and under the students section (bottom left portion of the screen) you will see instructions for: How to Register, How to buy Access, Getting Started as well as Take a Tour. Go to the MyMathLab settings file in the Desire2Learn site for instructions on setting your Internet Explorer settings to avoid turning off your pop up blockers. See the MyMathLab Navigation and Registration file on the Desire2Learn course site for more details.
Selected Bibliography:
· Chartrand et al, Graphs and Digraphs (Wadsworth, Belmont CA, 1987).
· D.Devine et al, Elementary Mathematics For Teachers (John Wiley and Sons, New York, 1991).
· G. Musser et al, Mathematics for Elementary Teachers (John Wiley and Sons, New York, 2000).
· Greenberg, Euclidean and Non-Euclidean Geometries (Freeman, New York, 1993).
· Sullivan, Trigonometry (Macmillan, New York, 1993).
· Swokowski et al, Fundamentals of Trigonometry (Brooks/Cole, New York, 1999).
University Deadlines:
Add/Drop Deadline (Census Day): September 10th is the last day to add this course or drop this course and receive 100% refund.
Withdraw Deadline: November 16th is the last day to withdraw from this course and receive a grade of “W”.
DSU Student Information and Help Links:
Student Handbook: http://www.departments.dsu.edu/studentaffairs/handbook/
DSU Catalogs: http://www.departments.dsu.edu/registrar/catalog/
DSU Student Resources Center: http://www.support.dsu.edu/
MyMathLab Online Support: http://247pearsoned.custhelp.com/ (click on the Ask a Question Tab)
MyMathLab Phone Support: 1-800-677-6337
Course Goals:
· Students will use the language of geometry, trigonometry and graph theory to analyze and describe real world problems.
· Students will demonstrate the ability to use geometric, trigonometric and graph theoretic concepts and techniques to solve problems.
· Students will use theorems and algorithms to solve problems.
· Students will use technology as an appropriate tool.
· Students will form conjectures. Students will give counter-examples to conjectures.
· Students will create geometric constructions using computers as well as the traditional compass and straightedge constructions.
· Students will justify conclusions (prove theorems) applying rules of logic.
· Students will use the English and metric measurement systems and convert between the two systems.
· Students will demonstrate knowledge of the circular and right triangular definitions of the trigonometric functions.
· Students will use and derive formulas for calculating length, area and volume of geometric objects.
· Students will demonstrate measurement concepts in applications of geometry and trigonometry.
· Students will demonstrate the ability to transform objects (translate, rotate, reflect, dilate).
Measurable Learning Objectives by Chapter: Questions on the unit exams assess the following core course objectives which have been organized by unit below and are summarized in the course goals above.
Unit 1: Chapters 9 and 10
Solve basic problems about probability.
Solve multistage probability problems.
Interpret and analyze various statistical graphs.
Work with measures of central tendency.
Work with box plots.
Solve problems about the normal distribution.
Solve applications involving misleading information.
Unit 2: Chapters 11 and 12
Analyze angle diagrams (determine the measure of an angle).
Classify planer curves.
Classify polygons.
Solve problems relating angles and polygons.
Solve problems about complimentary angles.
Solve problems about supplementary angles.
Solve problems about three dimensional figures.
Solve problems using similar figures.
Unit 3: Supplementary Trigonometry and Graph Theory Lessons (on D2L)
Solve problems using basic right triangle trigonometry ratios.
Solve problems using basic circular trigonometry rations.
Convert between radian and degree measure.
Use reference and quadrantal angles to evaluate trigonometric functions.
Solve triangles using the Law of Sines and Law of Cosines.
Find the Area of a triangle applying Heron’s formula.
Find the Area of a triangle applying the SAS formula.
Classify walks in a graph.
Apply Eulers Theorem for Graphs and Digraphs.
Find minimal length Hamiltonian Cycles for weighted graphs.
Find Hamiltonian Cycles and Eulerian Trials and Circuits.
Understand basic graph theory terminology.
Unit 4: Chapters 13 and 14
Solve problems about linear measure.
Solve problems about area and volume measure.
Convert between linear units.
Convert between area and volume units.
Find the areas of polygons.
Solve applied problems using area.
Solve problems using the Pythagorean Theorem.
Use the distance formula.
Solve problems about surface area of solids.
Solve problems involving volume.
Solve problems using translation.
Solve problems using rotation.
Solve problems using reflections.
Solve problems about size transformations.
Solve problems related to glide reflections.
Determine the symmetry in an object.
Evaluation Procedures: Course grade will be based on the following percentages:
MyMathLab Quizzes 25%
MyMathLab HW 25%
Unit 1 Exam 10%
Unit 2 Exam 15%
Unit 3 Exam 10%
Unit 4 Exam 15%
Total 100 %
Each standard quiz has a weight of three times that of an M-quiz (in the quiz category of MyMathLab, each standard quiz has a weight of three points and each M-quiz is worth one point – note the points in other categories of MyMathLab are not equal). Sample exams have a weight of zero, they have no impact on your grade. Take the sample exams as many times as you would like at any time during the course to help you prepare for your exam. Your actual exam will have the same types of problems as your sample exam (not as many questions). Your grade will be calculated in MyMathLab (I must submit zeros for assignments that you don’t complete for whatever reason at the end of each unit, so provided you have completed your assessments your grade is up to date) and at the end of the semester 1% is added to your truncated percent average (so for example if your percent average is 79.2% then it truncates to 79% then add 1% to bring it to 80%) then the following grade scale is applied:
A 90%-100%
B 80%-89%
C 70%-79%
D 60%-69%
F < 60%
Students near a cutoff may receive the higher grade at the discretion of the instructor.
Classroom Policies:
Class Attendance-Completion Policy: Students are expected to meet the online deadlines for assessments set in MyMathLab.
Homework Completion Policy: Students are expected to complete assignments by the deadlines set in MyMathLab (all homework and quizzes leading up to an exam have the same deadline as the exam, these are listed in MyMathLab as well as in the course outline below) and there will be no make-up opportunities for missed homework and quizzes. Students must meet the prerequisite homework score to take that sections quiz (for example Q 3.2) which contains just a few questions (sometimes just one) from that sections homework (quizzes do not need to be proctored, I think of them as single attempts at a few homework questions for the standard quizzes and the M quizzes are practice for standardized multiple choice exams). Some quizzes can be taken more than once in which case the highest achieved score is used in the evaluation procedure.
Cheating & plagiarism Policy: Academic dishonesty includes giving, receiving or using unauthorized aid on any academic work. The definition of academic dishonesty and the procedure for handling it are described in detail in the current version of the student handbook. You should read and understand this material. You will be allowed to use any handwritten notes during the exams as well as anything you have saved on your computer, however you are not allowed to use any communication tools during an exam (that means no email, no networking sites like facebook, no phones – turn off your cell phone or leave with your proctor, …). You will not receive credit (zero) if you are caught using communication tools during an exam or using unauthorized aid during an exam of any form.
Make-up Policy: There will be no make up opportunities for missed quizzes or homework assignments, you must meet the deadlines set in MyMathLab (all homework and quizzes leading up to an exam have the same deadline as the exam, these are listed in MyMathLab as well as in the course outline below). In the case of an excusable extended illness/absence during the semester contact the instructor to make arrangements for completing the course.
ADA Statement: If you have a documented disability and/or anticipate needing accommodations (e.g., non-standard note taking, test modifications) in this course, please arrange to meet with the instructor. Also, please contact Dakota State University’s ADA coordinator, Keith Bundy in the Student Development Office located in the Trojan Center Underground or at 256-5121, as soon as possible. The DSU website containing additional information, along with the form to request accommodations is http://www.departments.dsu.edu/disability_services/. You will need to provide documentation of your disability. The ADA coordinator must confirm the need for accommodations before officially authorizing them.
Freedom in Learning Statement: Students are responsible for learning the content of any course of study in which they are enrolled. Under Board of Regents and University policy, student academic performance shall be evaluated solely on an academic basis and students should be free to take reasoned exception to the data or views offered in any course of study. It has always been the policy of Dakota State University to allow students to appeal the decisions of faculty, administrative, and staff members and the decisions of institutional committees. Students who believe that an academic evaluation is unrelated to academic standards but is related instead to judgment of their personal opinion or conduct should contact the dean of the college which offers the class to initiate a review of the evaluation.
Internet Course: This is an internet course and it is expected that any student enrolling in this course has a suitable internet connection and quality (virus free) computer at their disposal to complete the course requirements which will all be done via the Internet. Moreover, it is the students responsibility to ensure that the computer they are using has the plug ins and players properly installed. See the MyMathLab Registration and Navigation instructions which are contained on the Desire2Learn site for more details.
The Professor reserves the right to modify this course syllabus to better meet student needs.
COURSE OUTLINE
UNIT 1: Chapters 13 and 14 - Unit 1 exam
Unit 1 exam deadline, on or before October 12th
UNIT 2: Chapters 11 and 12 - Unit 2 exam
Unit 2 exam deadline, on or before November 2nd
UNIT 3: Supplementary Trigonometry & Graph Theory Lessons (primarily) on the D2L site.
Graph Theory Component
1. Section 11.5 of text – graph hw 1 (and quiz)
2. Vertices and Edges - graph hw 2 (and quiz)
3. Walks, Trails, Paths, Circuits and Cycles
4. Eulerian Circuits and Eulerian Trails – graph hw 3 (and quiz)
5. Hamiltonian Cycles and Hamiltonian Paths - graph hw 4 (and quiz)
6. Weighted Graphs
7. Directed Graphs
8. Eulerian Digraphs - graph hw 5 (and quiz)
Trig Component
1. Section 12.6 of text – trig hw 1 (and quiz)
2. Right Triangle Definitions
3. Right Triangle Applications
4. Circular Definitions
5. Quadrantal and Reference Angles - trig hw 2 (and quiz)
6. Reference Angles and Trig Functions – trig hw 3 (and quiz)
7. Law of Sines
8. Law of Cosines
9. Trigonometry Applications – trig hw 4 (and quiz)
Unit 3 Exam
Unit 3 exam deadline, on or before November 30th
UNIT 4 : Chapters 13 and 14 - Unit 4 exam
Unit 4 exam deadline, on or before December 18th
Note: the exams are not cumulative! Follow the course outline in MyMathLab when completing the MyMathLab homework and quizzes.