Math Sites with K12 Resources
Presentation at CEA Convention  October, 2002
Below is a list of sites that have mathematical resources
that could be used for K12 education. For each site
there is a description of the sorts of things that you
might find there and links to some examples.
A few caveats before we begin:

The web is constantly changing. There be more, less or
different stuff at any of these sites in the future.

The quality of the materials is not uniform, even at a good
site. It is still necessary to look things over and select
the good and useful items.

I do not have control over any of these sites, so do not
send me comments about their contents, errors, etc. Send
that information to the authors of the materials.

However, if you find broken links,
another useful site or example,
or have other suggestions for the improvement of this
page, send them to me via email to
rpruim@calvin.edu
Now let's see what there is out there!
Featured Sites
I have chosen to highlight some sites; additional sites
are listed at the bottom of this page. I chose to highlight
sites that were either more familiar to me or which I found
to have particularly good interactive mathematics
resources (mathlets).
Quotation Servers
I used the
Mathematical Quotations Server at Furman University
to find the quotation at
the top of this page.
This site allows you to search a database of mathematical
quotes, read the quote of the day, or get a
random
quotation.
Another source of quotations with a somewhat different emphasis
(more quotations relating to education) is the
Mathematical and Educational Quotation Server
at Westfield State College.
Project Interactivate has many nice interactive mathlets
arranged by topics and keyed to the Standards.
There are also Discussions, and Lessons that accompany
the mathlets and give examples of how to use them,
including additional materials like worksheets, etc.
Here are a few examples:
 Tesselate:
Make tesselations based on triangles, rectangles and
hexagons.
 Fraction Four: Answer fraction, decimal percent questions to places
connect four pieces.
 Clock Arithmetic: Visual representation of modular arithmetic
on "clocks" of various sizes. (Note: this mathlet has some
less than desirable behavior when used repeatedly. Here is a
better mathlet as part of an article on
Math Art Posters by Dr. Laurie Burton [58])
 Coloring Pascal's Triangle:
Explore patterns that appear when coloring
multiples of a fixed number within Pascal's triangle.
Among other things this site includes

iMath investigations

Readytouse interactive,
multimedia math lessons (each is built on a mathlet)

Inquiry on Practice

vidio vignettes, research reports,
and articles for teachers

Selected Web Resources

Reviewed mathematics education web resources

Interactive Mathlets

Mathlets you can use to explore
math and create interactive lessons

Fraction Game [36]:
Solitaire fraction game (See also
Fraction Track, a 2player fraction game)

Spreadsheet and Graphing Tool [612]:
Graph formulas with parameters, then use sliders to
adjust values of parameters and watch the graph respond.
 Sound Wave [912]:
How do computers represent sound?
Watch a simulation of a how a sound wave travels.
Of particular interest is the ability to mark one air particle
and watch its motion.
This site has a wide variety of useful
features for mathematics at all levels Kindergarten through
advanced undergraduate. Just a few samples:

Search by Level and Subject to find lesson plans,
problems and puzzles, software, projects, public forums,
etc.

Internet Mathematics Library
includes a specialized search engine.

Ask Dr. Math has answers to common questions about
mathematics. The archive is searchable and organized by
grade level.

Teacher2Teacher
This is similar to Dr. Math, but answer questions about
teaching mathematics. Search by grade level, mathematics
subject area, educational subject area and key word to
see if anyone has an answer to your teaching questions.
If not, you can post your own questions.

Problems of the Week

again for a variety of levels and mathematical subject areas.
Also links to other problem of the week pages.
 Much, much, more!
Estandards is
Principles and Standards for School Mathematics at standards.nctm.org.
In addition to the text of the Standards documents,
this site has a section entitled
Electronic Examples.
These examplse are arranged by grade level [K2, 35, 68, 912]
and keyed to specific parts of the Standards documents
and are accompanied by discussions of how to use them in the classroom
and what sorts of goals the activities seek to accomplish.
Many (perhaps all) of this are available through the
Illuminations site mentioned above.

Tangram Puzzles [K2]: This mathlet allows students to move, rotate, flip
and color a set of tangram pieces. Students can make their own
pictures or attempt to make a target image.
[Standards:
Problemsolving,
Geometry]

Fraction Track [35]: A game involving fractions represented on a number
line.
[Standards:
Communication,
Number and Operation]

Distance, Time, and Speed Relationships via simulation [35]:
This simulation shows a boy and a girl "running" in opposite direction
across the screen. While they are running across the screen, their positions
as a function of time are plotted on a graph. Starting positions and speeds
can be adjusted.
[Standards: Algebra]

Comparing Mean and Median [68]: A data set is represented by
points on a number line. As the points are dragged around, one can watch
the effect this has on the mean and median of the data set.
[Standards:
Data Analsysis and Probability]

Exploring Linear Relationships [912]:
The mathlet shows the graph of a linear equation in slopeintercept form
(y=mx+b).
Sliders can be used to adjust the slope and interecept values to see
how the graph responds.
[Standards:
Problem Solving]
The EDC has many projects and lots of information. Here
are two items that may be of some interest:

Problems with a Point [612]:
Search for problems on various topics. Includes
problems, hints, solutions, and information for teachers
on how to incorporate the problems. HTML (standard web format)
and pdf versions (better for printing) are available for
most things.

Connecting with Mathematics
Other places to look
Google search engine
Although it is not tuned for mathematics, Google is an excellent
search engine and often turns up good things. Many of the web
resources I use in my classes have been found by doing google searches
(or by following links on sites found by Google).
In particular, if I am hoping to find an interactive demonstration
of some topic doing a search on that topic plus "java" is often useful.
The search above turned up
Some things of mine
If you happen to be interested in calculus, discrete mathematics or
statistics, you might find something useful on one of my course
home pages.
 My Home Page is a good starting point

Some Course Materials
ordered by subject and by course.
Some subjects are more complete than others.
On course web pages look under "mathlets" or "web overheads" or
something simliar to find interactive things.
This site contains
links to a variety of Internet sites on mathematics education,
and emphasizes things at the high school and
college level, but may havce useful resources for lower
grades as well.
Of particular interest here:
Sites with Problems, Puzzles, and Challenges

Problems with a Point (from EDC, mentioned above)

Math Forum Problems of the Week
(mentioned above)

"Math Challenges for Families",
a joint project of the NCTM, the National Action Council for
Minorities in Engineering, and Widmeyer Communications,
with support from the NSF and the U.S. DOE.
Figure This! is designed to provide an exciting
and familyfriendly way to become more involved in
learning math.
This is essentially a collection of mathematical problems
and puzzles to be solved.
Sites with Lesson Plans, Worksheets, and Simliar

Math Central
offers an Internet service for mathematics teachers
and students from kindergarten to grade twelve.
This is a Canadian site (U. Regina),
so its categories for grade
levels and for mathematical topics are not exactly the
same as those used by most American sites.
The most interesting part of this is probably
the resource
room, a place where teachers have submitted resources
and information on how to use them in the classroom.
Here are two examples:

Lesson plans from the Eisenhower National Clearinghouse

Explorer,
a collection of educational resources
developed jointly by the Great Lakes Collaborative and the
University of Kansas UNITE group, this site
has a collection of educational resources
(instructional software, lab activities, lesson plans,
student created materials ...) for K12
mathematics
and science education.
Most of the resources at this site are electronic
versions of paper documents (pdf and hqx formats) describing
activities, labs, games, and the like.

AskERIC
contains lesson plans on various math topics at various grade levels

Mathematics Lessons that are fun! fun! fun!
by Cynthia Lanius (Rice University)
Humor
Miscellaneous
This page maintained by:
Randall Pruim
Department of Mathematics and Statistics
Calvin College
rpruim@calvin.edu
Last modified:
Thursday, 24Oct2002 17:28:05 EDT