Some Teaching Materials
Perpetually Under Construction

Course Home Pages

Stats

El Ed

Discrete Math

Logic

Misc Teaching Resources

Technology

Page Description
This page is intended to serve as a single location where I can collect
things that I have used (or thought about using) in my classes and that may
be of use to other people as well. I hope you find it of some use.
Here are links to courses I have taught that have web pages.
Note: These pages are not maintained once the course is completed,
so older pages are likely to have broken links, missing information, etc.
Nevertheless, perhaps even the older pages may contain something of interest.
Look at these pages to find, for example, course outlines, sylabi, homework
assignments, review sheets, notes, and the like that I provided for my
students in a particular term. Many of the items that are more universally
applicable have links below categorized by content rather than by
course and term.
Generally, only the most recent instantiation of each course is
listed, but often the home page for that course includes links to
other terms when I have taught it.
Courses at Calvin College

Math W50: How do they know my opinion? (Interim 2000).
A three week intensive course introducing statistics to a general
college audience.
 Math
100: Elemenst of Modern Mathematics (Spring 01)
 Math
143: Introductory Statistics (Spring 00)
 Math
156: Discrete Math for Computer Science (Fall 01)
 Math
161: Calculus I (Fall 01)
 Math
162: Calculus II (Spring 01)
 Math
190: FirstYear Seminar (Fall 99)
 Math
221: The Real Number System and Methods for Elementary
Education (Fall 99)

Math
381:Advanced Logic (Spring 01)

Math
391:Mathematics Colloquium (Fall 2000)
A course at Boston University

CS 113
Accelerated introduction to programming using C. (1997)
Statistics
Occassionally, instead of using overheads, I make information available
on web pages (which I then project onto a screen in class).
Below are some that may be of general use.
Please let me know if you
find any errors or have suggestions for improvement.
These are interactive demos that I have written all or part of for use in
my courses. Those that require JAVA are indicated.
These are other interactive demos that I have used

Old Faithful Eruption Times. Investigate histogram bin sizes.
(Webster West  S. Carolina)

Normal Distribution Applets from
Seeing Statistics.
My
favorite of these can be used to find the percentage of a
normal distribution (with user specified mean and standard deviation)
that lies between any two values by dragging the edges of the shaded
portion of a normal probability curve.
 Sampling Distributions, Confidence Intervals, etc.

Correlation Coefficient and Regression Lines.

Monty Hall Problem. This problem was made famous by a serious
of articles run in the Ask Marilyn column.
Here are some demos of the problem:

This is one of several
games available from the
CUWU Statistics Program.

The
Let's
Make a Deal version done by Webster West includes an explanation.

The
MSTE Monty's Dilemma page adds an extra twist: you may keep you
original choice, switch, or flip a coin to decide.
This applet also allows you to select one of the three strategies and
run it repeatedly and tabulate the results.
For more information about Ask Marilyn, check out
the Marilyn is Wrong!
website which seeks to document any of her errors but also has interesting
information about her and her column.
There are many JAVA applets around to demonstrate various statistical
concepts and procedures. The sites below have lists or indexes of
such applets.

WebStat by Webster West looks a lot like Minitab.

Statlets
 a multifeatured JAVAbased statistics package, with free WWW access
for small datasets (10 variables x 100 cases). Produced by NWP Associates,
Inc.

Statiscope.
A one page univariate stat pakage done by Mikael Bonnier  Lund, Sweden.
Stuff for Offline Stats Packages

Fathom
is not available as a JAVA applet, but a demo version is available for
download. I have heard great things about Fathom as software for teaching
statistics.

Wolfram provides information (and a free pallette) for doing
Statistics with Mathematica
Here are links to some lists of links put together by others.
Several textbook authors and publishers
have a lot of information online that is of use even if you
aren't using their textbook. Here are some:

Survey 101:
A white paper about designing a good survey.

"Do You Believe the Polls?"  a chat with J.A. Paulos
 Places to find articles

Chance News. Chance News is an electronic newsletter that
collects articles about statistics. Often these include
interesting questions for discussion in class.
It is possible to search past issues as well as to read current issues.
Also at this location: links to
lectures with audio, video and overheads on a variety of statistics topics.

New York Times
I have occassionally made use of videos in my classes. Theses links give
either simple time outlines of the videos or (in some cases) questions I
have used related to video segments. I have included time outlines
of videos that I have previewed, even if I have never used them.
Links Elswhere
Textbooks and related sites
Course Home Pages
Below is a list of course home pages I have come across. The parenthesized
designation indicates the text used, where applicable. (Abbreviations are
listed above.)
Theorem Provers
Machine Simulators
Busy Beaver Problem
 Go here to
find out what the Busy Beaver Problem is and to find some interesting
links about it.

Heiner Marxen's Page
lists some known facts and recordholders.
Courses, Tutorials, Demos, etc.
Notes

Mike Stob's Logic Notes:
Postscript notes by Mike Stob
for an advanced undergraduate logic course.
Traditional syllabus aiming for Goedel's Theorem.

Randall Pruim's Logic notes. These only cover a few selected topics from
an undergraduate Advanced Logic course. Most notably, there is material on
cardinality, countability, and diagonalizationan, and there is a section
giving a brief introduction to set theory.
(dvi,
postscript)
Prolog

Pruim's Prolog Page:
These materials were used in conjunction with the predicate logic
part of a discrete math course. Includes a prolog interpreter that can
be run over the WWW, an example from Monty Python, examples, exercises, ...

Project Interactivate
has many interactive activities designed to meet goals of the
NCTM Standards for mathematics education. Here are a
couple examples:
This page maintained by:
Randall Pruim
Department of Mathematics and Statistics
Calvin College
rpruim@calvin.edu
Last Modified:
Friday, 30May2003 08:05:14 EDT