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Math 5348: Advanced Algebra in Secondary
Mathematics |
| Fall 2009 |
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Meeting Times: Tuesdays 5:30 – 8:20 PM
Classroom: Pickard Hall 302
Instructor: Prof. Shipman, Pickard Hall 437
Office
Hours: Mon 6:50 – 7:30, Tue and Wed 4:30 – 5:15, and by
appointment
Phone: (817) 272-2606 (office) 817 272-3261 (Department of
Mathematics)
E-mail: bshipman@uta.edu
Text: There is no textbook for the course. Materials will be
handed out.
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Prerequisites |
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College Algebra, Precalculus, and good Problem-Solving Skills
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Course Description |
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This course continues a conceptual understanding of algebra through in-depth problem solving for
the purpose of strengthening, broadening, and deepening teachers’ grasp on algebraic concepts.
Class will be a combination of student presentations of homework problems and collaborative work on
new problems, including applications. Topics include transformations of functions, linear functions
and rates of change, matrix transformations, systems of linear inequalities, quadratic and square
root functions, power, polynomial and rational functions, exponentials and logarithms, and conic
sections.
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Course Assignments |
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1. Presentations: A set of homework problems
will be given each week to be prepared for the next class meeting. During the first half of class, each student will be asked to
present a solution to a given homework problem, with about ten minutes of presentation and five or
ten minutes of discussion. The presentations will be
evaluated according to the criteria below.
2. Problem analyses: Four assignments of
challenging multi-faceted problems in algebra will be given for you to solve and explain in
writing. These should be prepared according to the guidelines below.
3. Midterm exam: A written midterm exam will be given during the first half of
class on October 13.
4. Oral final exam: On Tuesday, December 8, you will have a 25-minute time slot (between
5:30 and 7 PM) for an oral exam with the instructor.
You will be asked questions on the material studied in the course and will be expected to explain
your answers in a clear and organized fashion at the board.
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Grading |
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YYour work will be
graded on correctness, completeness, and clarity.
Problem analyses: 30%
Presentations: 30%
Midterm: 20%
Final Exam: 20%
A course average of at least 90% guarantees an A, at least 80% a B, and at least 70% a
C.
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Important Dates |
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Aug
25
First class
Sep 15
Problem Analysis 1 due
Sep 29
Problem Analysis 2 due
Oct 13
Midterm
Oct 30 Last day
to drop a class
Nov 3
Problem Analysis 3 due
Nov 24 Problem
Analysis 4 due
Dec 1
Last class
Dec 8
Oral Final Exams (Tuesday) 5:30 – 7 PM
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Evaluation of Presentations |
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4
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3
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2
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1
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Preparedness
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Student is completely
prepared. Presentation is well organized, excellent logical structure, and
insight provided.
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Student is prepared, but may
be unsure of solution presented. Presentation is organized, good logical
structure, and somewhat insightful
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Student is somewhat
prepared, but it is clear that important aspects of the solution were
lacking. Presentation is somewhat organized, some logical
structure.
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Student is not prepared and
most aspects of the solution were lacking. Presentation is not organized with
little or no apparent logical structure.
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Content
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Student shows a full
understanding of the task presented
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Student shows a good
understanding of the task presented.
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Student shows a good
understanding of parts of the task presented.
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Student does not show a firm
understanding of the task presented.
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Comprehension
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Student is able to
accurately answer almost all questions posed about the task.
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Student is able to
accurately answer most questions posed about the task.
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Student is able to
accurately answer some of the questions posed about the task.
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Student is unable to
accurately answer questions posed about the task.
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Enthusiasm
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Demonstrates a very strong
interest and enthusiasm about the task.
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Demonstrates a strong
interest and enthusiasm about the task.
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Demonstrates an interest
about the task.
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Demonstrates very little
interest in the task.
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Speaks
Clearly
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Speaks clearly and
distinctly all (100-90%) the time.
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Speaks clearly and
distinctly most (90 -80%) of the time.
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Speaks clearly and
distinctly some ( 80 -70%) of the time.
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Often mumbles or cannot be
understood
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Guidelines for Problem
Analyses |
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Each assigned problem
analysis should be written according to these guidelines:
- Write or type neatly
on one side of the paper only.
- Define all variables
that you use.
- Before setting up an
equation, state what is given and what is to be found, in terms of the variables that you
have defined.
- Explain the reasoning
behind any equation that you introduce.
- Show all steps of the
solution.
- Interpret, in words,
all answers that you obtain.
- Give units in your
solutions whenever they are given in the problem.
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Clearly label all diagrams and graphs that you present.
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Policies |
Drop Policy: The last day to
drop the course is Friday, April 2. Please refer to the University drop policy for details on
withdrawing from a class.
Americans With
Disabilities Act: The University of Texas at
Arlington is on record as being committed to both the spirit and letter of federal equal
opportunity legislation; reference Public Law 92-112 - The Rehabilitation Act of 1973 as amended.
With the passage of federal legislation entitled Americans with Disabilities Act (ADA),
pursuant to section 504 of the Rehabilitation Act, there is renewed focus on providing this
population with the same opportunities enjoyed by all citizens.
The instructor will provide
"reasonable accommodations" to students with disabilities, so as not to discriminate on the
basis of that disability. It is the student’s responsibility to informing the instructor of his
or her need for accommodation by providing authorized documentation through designated
administrative channels. Information regarding specific diagnostic criteria and policies
for obtaining academic accommodations can be found at www.uta.edu/disability. Also,
you may visit the Office for Students with Disabilities in room 102 of University Hall or call
them at (817) 272-3364.
Academic Integrity: It is the philosophy of The University
of Texas at Arlington that academic dishonesty is a completely unacceptable mode of conduct and
will not be tolerated in any form. All persons involved in academic dishonesty will be
disciplined in accordance with University regulations and procedures. Discipline may include
suspension or expulsion from the University.
"Scholastic dishonesty includes but is not limited to cheating, plagiarism, collusion, the
submission for credit of any work or materials that are attributable in whole or in part to another
person, taking an examination for another person, any act designed to give unfair advantage to a
student or the attempt to commit such acts." (Regents’ Rules and Regulations, Series 50101, Section
2.2)
Student Support Services
Available: The University of Texas at Arlington supports a variety of
student success programs to help you connect with the University and achieve academic success.
These programs include learning assistance, developmental education, advising and mentoring,
admission and transition, and federally funded programs. Students requiring assistance
academically, personally, or socially should contact the Office of Student Success Programs at
817-272-6107 for more information and appropriate referrals.
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| © Copyright 2010
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