I. COURSE INFORMATION
INSTRUCTOR: Elaine Young
OFFICE HOURS: by appointment
II. COURSE DESCRIPTION
The course will offer an
in-depth and relational investigation of numbers and number systems,
operations and algorithms, and quantitative and qualitative reasoning.
Number theory topics will enhance the mathematical understanding and
ability of secondary mathematics teachers within an environment that
is conducive to mathematics education pedagogy.
Graduate standing; teacher
certification or experience teaching mathematics in grades 6-12; and/or
permission of the instructor.
IV. TEXTS AND SUPPLIES
Required text: Navigating
through Number and Operations in Grades 9-12, NCTM, 2006
Required supplies: Scientific calculator; Word and Excel (or comparable
V. STUDENT LEARNING
a perspective of the historical background of number theory
Explore other number bases through historical/cultural class presentations
Calculate and convert between different number bases
Recognize and work with common number sets
Write elementary proofs for number theory topics such as divisibility
Make connections between number theory topics
Deepen mathematical understandings of 6-12 grade TEKS in number and
Understand and use theorems and algorithms of number theory
a number theory topic in depth for final research project & presentation
VI. INSTRUCTIONAL METHODS
The course will consist of
lecture, collaborative groups, and class presentations. Students are
expected to participate in collaborative groups and whole class discussions
by contributing knowledge and thoughtful evaluation of the contribution
VII. EVALUATION and
is required and is part of the grade. If you must be absent, please
contact the instructor and your group as soon as possible. Participation
points may be recovered through make-up work with permission of the
includes ctive participation in collaborative explorations, group discussions,
and class presentations.
Homework: Readings, problems and class presentations will be assigned
for homework. Late homework will only be accepted with prior approval
from instructor and may be assessed penalty points.
Class presentation: Each student will research and present a class
presentation about a number theory related topic.
Pre/post tests: A pre-test will pre-assess student needs and achievement
as well as provide information for the grant project evaluation. The
post-test will be a cumulative final exam covering course topics and
seeking feedback for course improvement and grant project evaluation.
|Pre-test; ancient mathematics
|History of number theory
|Base 10; place &
|Other number bases;
|Real number system;
|Prime & composite
numbers; FTA; simple proofs
|Factors & multiples,
|GCF & LCM
|Sequences & series
|Countable & uncountable
continued fractions; constructible & transcendental numbers
IX. CLASS POLICIES
Written work: Written hardcopy assignments must be typewritten
or neatly printed with pages stapled together (no folding, paper clips,
or plastic covers please). I reserve the right to penalize sloppy, unorganized,
unstapled, misspelled or poor grammatical work.
Late Work: Students
are encouraged to always turn in work on time. However, if situations
dictate that work will be late, please notify the instructor and turn
it in as soon as possible (do not wait until the next class, bring it
to my office or email or fax it). Late work deadlines and points awarded
may be adjusted at the discretion of the instructor.
Make-up Work: In the
case of an excused absence, make-up work may be allowed. Make-up work
and available points are at the discretion of the instructor.
Group Work: Each student
will be assigned to a collaborative group and be expected to participate
and contribute to group work efforts. In the event of a conflict or
problem, the group or individual may request a change. Final decisions
about changes are up to the instructor.
Help: The best source
of help for this course is the people directly involved in this course:
your peers or instructors, in class or during office hours. CASA is
available for tutoring help; the Writing Center is available for help
with written assignments.
is expected and is reflected in individual and group participation.
If you must be absent, please communicate with me and your group before
class or as soon as possible. Email is encouraged, firstname.lastname@example.org,
or call my office at 825-2819 and leave a message. I will reply with
details of what you missed in class and any assignments.
Participation: Participation includes class attendance and participation
in collaborative explorations, group discussions, and class presentations.
This daily grade can be made up for documented excused absences (see
instructor for details).
Conway, J. H. & Guy,
R. K. (1996). The book of numbers. New York: Copernicus.
Bransford, J.D., Brown, A.L.,
& Cocking, R.R. (Eds.). (2000). How People Learn: Brain, Mind,
Experience, and School. Washington, DC: National Academies Press.
National Council of Teachers
of Mathematics. (2000). Principles and Standards for School Mathematics.
Reston, VA: Author.
Ore, O. (1967). Invitation
to number theory. Washington: Mathematical Association of America.
SBEC Technology Standards
for Beginning Teachers. [Online]
Silverman, J. H. (2001).
A friendly introduction to number theory. Upper Saddle River,
NJ: Prentice Hall.
Texas Education Agency. (2007).
Texas Essential Knowledge and Skills. [Online] http://www.tea.state.tx.us/teks/
University students are expected to conduct themselves in accordance
with the highest standards of academic honesty. Academic misconduct
for which a student is subject to penalty includes all forms of cheating,
such as illicit possession of examinations or examination materials,
falsification, forgery, complicity or plagiarism. (Plagiarism is the
presentation of the work of another as one’s own work.) In this
class, academic misconduct or complicity in an act of academic misconduct
on an assignment or test will result in a zero grade.
Dropping a Class
I hope that you never find it necessary to drop this or any other class.
However, events can sometimes occur that make dropping a course necessary
or wise. Please consult with me before you decide to drop to be sure
it is the best thing to do. Should dropping the course be the best course
of action, you must initiate the process to drop the course by going
to the Student Services Center and filling out a course drop form. Just
stopping attendance and participation WILL NOT automatically result
in your being dropped from the class. Friday, 5 April 2011, is the last
day to drop a class with an automatic grade of “W” this
Texas A&M University-Corpus Christi, as an academic community, requires
that each individual respect the needs of others to study and learn
in a peaceful atmosphere. Under Article III of the Student Code of Conduct,
classroom behavior that interferes with either (a) the instructor’s
ability to conduct the class or (b) the ability of other students to
profit from the instructional program may be considered a breach of
the peace and is subject to disciplinary sanction outlined in article
VII of the Student Code of Conduct. Students engaging in unacceptable
behavior may be instructed to leave the classroom. This prohibition
applies to all instructional forums, including classrooms, electronic
classrooms, labs, discussion groups, field trips, etc.
As stated in University Rule 13.02.99.C2, Student Grade Appeals, a student
who believes that he or she has not been held to appropriate academic
standards as outlined in the class syllabus, equitable evaluation procedures,
or appropriate grading, may appeal the final grade given in the course.
The burden of proof is upon the student to demonstrate the appropriateness
of the appeal. A student with a complaint about a grade is encouraged
to first discuss the matter with the instructor. For complete details,
including the responsibilities of the parties involved in the process
and the number of days allowed for completing the steps in the process,
see University Rule 13.02.99.C2, Student Grade Appeals, and University
Procedure 13.02.99.C2.01, Student Grade Appeal Procedures. These documents
are accessible through the University Rules Web site at http://www.tamucc.edu/provost/university_rules/index.html.
For assistance and/or guidance in the grade appeal process, students
may contact the Office of Student Affairs.
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 believe you have a disability requiring an accommodation, please
call or visit Disability Services at (361) 825-5816 in Driftwood 101.
If you are a returning veteran and are experiencing cognitive and/or
physical access issues in the classroom or on campus, please contact
the Disability Services office for assistance at (361) 825-5816.