Properties of the Real Numbers I
TA's and their hours
You can find the following helpful people in Bell 130, which is a
computer lab, at the following times:
- Alfredo: Mondays, 1:15-3:15
- Dina: Tuesdays, 2:30-3:30; Wednesdays, 1:00-2:00
- Barbara (the grader for our section): Thursdays, 1:30-3:30
Arlene says to call 1(800)880-9400. You want the TI Math Explorer.
You can also find them at Office Max on McRae (though only a few may
Open lab hours:
- Monday, 4-6pm
- Tuesday, 4-6pm
- Thursday, 11-2pm
- Friday, 12-4pm
Please feel free to come by my office any time during scheduled
You are welcome to
come at other times, but in that case you might want to make
an appointment, just to make sure that I will be there then. You can
make an appointment simply by talking to me before or after class, by
calling me at
or at home, or by sending
You may also ask any questions directly via phone or e-mail. If I'm
not in when you call, please leave a message on the voice-mail or
answering machine with your name, number, and a good time for me to
call you back. I will try to respond to your phone or e-mail message
as soon as possible.
This course is being team-taught with ELED 3302 and
ELED 3310, the other two courses in the block, and one class per week
will be held at Wiggs Middle School. This is my first experience with
either of these innovations, and so we will probably have to make
adjustments in the implementation as we go along. I encourage your
ongoing feedback in this area.
The problems in the course are intended to acquaint you with the
following concepts in roughly the following order: Counting and Whole
Numbers, Integers, Geometric
Congruence and Similarity, Ratio, Proportions, Rational Numbers,
Decimal Representations, Irrational Numbers, Data Analysis, and
Symmetry Transformations. In addition to these mathematical concepts,
you will become familiar with the following computer software:
ClarisWorks (word processor), Divide & Conquer, Geometer's Sketchpad,
and Function Probe.
Guiding Philosophic Principles
The purpose of this course is for you to become involved with a wide
variety of situations and contexts which give rise to mathematical
concepts essential for K-8 teaching. You will be expected to engage
in a dialogue between grounded activity and
systematic inquiry; this dialogue is what constitutes mathematics.
Grounded activities will include situations arising from physical
activity with strings, sticks, blocks, cardboard, marbles, dice,
coins, cut paper, models, photographs, and anything else under the
Systematic inquiry will involve the fullest possible use of the tools
that are commonly available in our culture, including both
physical tools, such as rulers, measuring cups, scales,
stopwatches, thermometers, projectors, calculators, and computers; and
linguistic tools, such as words, numbers, symbols, drawings,
diagrams, tables, graphs, along with computer software
which can be considered as both a physical and a linguistic tool.
Working in small groups with your classmates, or alone, you will
engage each problem or situation presented in class, and will attempt
to describe and explain the results of that engagement in a written
report. You must write your report yourself;
a private oral
exam is always possible, in case of irregularities. You are expressly
prohibited from consulting with anyone who has taken this course
before, or seeing their notes or reports.
experiment, explanation or proof is anything which is both
meaningful to you and convinces other people of the
validity of your thoughts, words and activities. Reports may
incorporate any available media including written words, symbols,
pictures, diagrams, models, tables, graphs, videos, computer discs,
There will be an initial due date (approximately weekly), by which
time some work (however partial) must be turned in.
If you do not turn in a report by the initial due date, you will
not be able to resubmit it; please contact me as soon as
possible if some emergency prevents you from attending class and
turning in your report.
be returned as soon as possible with questions and comments, after
which you may respond, revise, amend, and then resubmit the project.
Resubmitted solutions will again be returned with comments and may
again be revised and resubmitted.
Do not just resubmit the parts of your report that there were
questions on; each resubmission must be able to stand on its own.
Thus, you are required to use computer word-processors to produce
After the initial reports are returned, selected students will be
chosen to present their work in class. After such presentations
others may still continue to resubmit those same projects in their own
personal way making full or partial use of what has been presented.
Originality and diversity of expression will always be encouraged.
Additionally, there will be three joint assignments, common to all
three courses in the block: a journal; a lesson plan and a videotape
of the lesson (together treated as a single assignment for this
course); and a final essay. I will be grading each one of these on
its math content. Each will count as one project grade for this
course, and there are no resubmissions for any of them.
Each project will be returned with one of three marks:
There will be a total of 15 project grades. If you eventually achieve
at least 12 "check"s, you will get a grade of C or better; if you
eventually achieve at least 8 "check plus"s and 6 "check"s, you will get a
B or better; and if you eventually achieve at least 13 "check plus"s and
2 "check"s, you will get an A.
- "check minus"
Some engagement with the project, but substantial questions remain.
A well reasoned explanation, but some questions remain.
- "check plus"
A complete and thorough explanation, no further questions.
Remember to pace yourself in a reasonable way. It is virtually
impossible to turn in well-written resubmissions if you leave them all
until the end of the semester, so the following deadlines will apply:
Your final grade will depend on a portfolio of all your
submissions for the semester; therefore, keep all your
(even after turning in subsequent resubmissions for the
same project). Your portfolio will be due on Mon., Dec. 11.
- Resubmission of Projects 2-5 will not be accepted after the beginning of class, Wed., Nov. 1.
- No more than two resubmitted projects will be accepted after the beginning of class,
Mon., Nov. 27.
Because of the experimental nature of this class, on-time attendance
is mandatory at all times. If you have more than two unexcused
absences, you will be dropped from the class with an F. I will
usually excuse an absence if you tell me about it in advance, or, in
cases of emergencies, as soon as possible afterwards.
All students will be required to purchase several computer discs, a
ruler, a compass, scissors, and other incidental supplies as required
by the problems. I recommend the purchase of a Texas Instruments
Math Explorer Calculator, since that is what is widely available in
"Mathematics is not a march down any particular road, but
rather a walk in a garden with many branching paths that circle and
wind back onto themselves. Visitors stroll in many different ways,
pausing to look down at a single small flower, or gaze out over an
enchanting vista, or perhaps even to water, weed or plant (for a
garden is a human creation constructed within the constraints of
life). Each new return brings its own special set of views and
experiences." - David Dennis