**S T U D E N T **

**R E S O U R C E
S**

*There are two sections
that follow. The first is of top resources to actually learn mathematics online,
including both Ivy League and for-credit resources. The second section is the
best places to get answers to your questions and specific problems. *

1. TITLE: Netmath Online

CONTENT: If college level credit bearing math courses is your game, then Netmath
Online is the name. A top ranked science school, the University of Illinois
@ Urbana Champaign has been offering distance learning to all types of learners
through their Netmath program since 1991! Add to that the courses all utilize
Mathematica software and are flexible in completion times and you have a real
winner in the online education domain. NetMath offers 11 courses, ranging in
1 to 5 (most are 3) fully transferable college credits. The courses begin with
College Algebra and go through Differential Equations and Advanced Calculus.
This is a great way to learn college level math in an autodidactic fashion through
some very powerful software.

USES: For the gifted high school student who wants college credit for mathematics
courses this is a great option. For adult learners or college students who need
math credit, this is great as well because the completion times are flexible
and the credit transfers to almost every institution of higher learning. It
is also a great site for learning Mathematica, an extremely powerful math software
program.

2.TITLE: MIT Opencourseware

CONTENT: Whoa, whoa, this concept is really impressive. An ambitious goal of
MIT is to have all their courses eventually ported online, and Open Courseware
represents that dream manifested into a near reality. It ostensibly provides
every element of the actual courses that are offered to a vast majority of current
MIT students, the only thing missing is the actual professor interface. Although
that is not entirely true either, some courses offer full length videos of actual
classroom instruction! In which case you can pretend that the only difference
between you and a real MIT student is you just can’t raise your hand for
clarification! The site is designed well; no surprise considering this is MIT.
Totally free, totally thorough and totally awesome!! (I mean like homepage one~!!!)

USES: For anyone that dreamt of a having an Ivy League education (for free?),
Open Courseware is the closest thing to manifestation. While you cannot receive
actual credit or a diploma, you can create for yourself or learners you are
instructing a very close model of what an MIT education entails. For teachers
the world over, it provides an amazing template for plugging and playing the
MIT course structure for many classes. It also works great as an accompaniment
to a class. For example when I was taking differential equations at my college
locally I would watch the video lectures by the Professor Mattuck (a dedicated
mit prof) on my laptop to supplement what I was learning in my actual class
and it truly helped me digest the material better. And with the video lectures,
I could even pause the professor to get a snack or go do something, try doing
that in real life!

3. TITLE: Dr Physics

CONTENT: If I said for a nominal fee you could have a PhD in Physics from University
of Chicago that would personally tutor you in the introductory Calculus and
even some topics in Einstein’s theory of relativity, would that interest
you? Well if it does than you should definitely check out Dr. Physics’
site. While these classes are not for college credit, the courses are rigorous
and the knowledge you gain is invaluable. A pioneer in online education, Dr.
Lombardi has testified to Congress about online education.

USES: For anyone that is interested in having direct access with a PhD in Physics
to learn about Einstein’s theory of relativity this is a great option.
It is also good for those learners that need to brush up or just want to learn
about differential and integral calculus but don’t necessarily need or
want college credit. I say that because the personal attention you receive from
Dr. Lombardi is unparalleled. I say this from experience, now does anyone care
to talk about time dilation?!

4. TITLE: Art of Problem Solving

CONTENT: This site can be thought of as math portal for eager math students
in grades 7-12. It offers a forum for sharing insights and a variety of online
classes. What really makes this site special are the people running it. It is
a small but veritable brain trust of some of the most brilliant math minds;
most are Ivy League educated and most have extensive and successful mathematical
experience in math Olympiads and competitions. The site also offers plenty of
information on books, articles, websites and other resources that pertain to
mathematics and in particularly the art of problem solving. A site really borne
out of the love of solving math problems, awesomeness!

USES: This is a great site for students who are very interested and/or talented
in mathematics and want an opportunity to learn mathematics in a very personalized
setting from some of the most talented mathematicians around today.

5. TITLE: Education Program for Gifted Youth

CONTENT: This is an ongoing research project through Stanford University. Its
aim is to provide computer based multimedia courses in a variety of subjects
that includes mathematics, physics, English, computer science and music. The
main purpose of this project is to provide an outlet for gifted and talented
youth everywhere. It gives these talented youngsters an opportunity to stay
challenged and gain college credit in many cases. By not requiring geographic
proximity to Stanford as well as lending their name, the EPGY program is an
important example of how to cater to a population that is often not given an
opportunity to maximize their potential.

USES: For any parent or educator that is under the care of a gifted child and
is looking for ways to stimulate their child, this is a terrific educational
option.

**SECTION 2: ANSWERS & ELUCIDATION**

1. TITLE: Wolfram Mathworld

CONTENT: To call yourself “the web’s most extensive math resource”
is almost asking for someone to prove you otherwise. After all, a recent Google
search for the word mathematics yields a staggering 83.9 million results. Yet
if you begin to spend some time on this site, it begins to dawn on you how true
their claim really is. Between the subject and alphabetical organization of
over 13,000 mathematical topics, you find the detail of explanations to be rigorous
and thorough. They even offer detailed explanations of mathematics used in humor
and pop culture! Many of the mathematical topics provide free downloadable Mathematica
notebooks for further investigation and all topics have citations that are hyperlink
annotated to books and resources. Considering this astonishing resource comes
from the same guy that created Mathematica, Stephen Wolfram, it is not really
a surprise. A PhD in Physics from Caltech by age 20, he makes most science geniuses
look rather ordinary and apparently most math websites as well.

USES: This site is a great resource if you have or utilize the Mathematica software
in your learning since it offers many free interactive Mathematica notebooks
that can be downloaded to provide deeper insight on a topic. It carries a very
reliable and authoritative voice as well so it is good for confirming or clarifying
math questions.

2. Wikipedia Portal: Mathematics

CONTENT: While there always seems to be a swirl of controversy surrounding the
accuracy of Wikipedia, it is truly astonishing the depth and quality of most
of what you find on this site. With over 16,000 detailed articles pertaining
to mathematics, the Wikipedia Portal for Mathematics would have seemed like
some sort of utopian dream for mathematicians even a few short years ago! Virtually
any concept or theory under the mathematical domain (and I am not speaking of
the x axis lol) is covered, often with incredible precision and explanation.
Furthermore, with so many terms being hyperlinked in any given article, cross
referencing from one idea to the next is made easy. Perhaps the single most
impressive site of all that I visited.

USES: If you ever have a term or concept in mathematics that you are unclear
on, this resource will probably provide an answer for you. Furthermore if you
are trying to look for further topics on an idea, the annotations at the end
of each article usually provides places to find more insight on that idea. It
is also great for boring down into a concept. For example if you are trying
to learn more about differential equations, the article will not only provide
a quality overview on differential equations but also link to specific types
of differential equations, the history of differential equations, web resources
on differential equations, graphs of differential equations etc.

3. TITLE: Ask Dr. Math

CONTENT: Ask Dr. Math is a question and answer service for math students and
teachers. An impressive range of questions are meticulously answered at this
site. The archive is fully searchable and you can also browse by level or math
topic. The site has a bare bones layout but the detail and content more than
makes up for it. This site is very good for clear explanations on many of the
typical questions that arise in the studying of mathematics, from early topics
in grade school to advanced topics in college science. A really great site for
getting answers to specific math questions.

USES: The title gives away the best use of this site, namely to answer specific
math questions. So for example, if you need to know what a vector is, why multiplying
two negatives together makes a positive, what calculus is used for or even proving
in a funny (not real!) way that 1 + 1 = 3, you will find detailed answers here.
Often times typing your random math question in Google will yield a result that
sends you to Ask Dr. Math. You have math questions, they have answers!

4. TITLE: A Maths Dictionary for Kids

CONTENT: On a decidedly different note, as the title suggests, this website
is a math dictionary aimed at younger learners of mathematics. It contains over
500 common terms in mathematics explained in clear concise language. What is
really unique about this site is the interactive nature of it. Most of the terms
provided are explained with colorful pictures and require the user to engage
in the definition. This interaction makes the learning of topics that are often
presented in dry and abstract terms very real and clear.

USES: This is a great site for building lessons around important and fundamental
math topics. It can be used as a resource for further elucidation on mathematical
concepts that are not being fully absorbed by a learner. Each definition is
presented in such a visual way that it is difficult not to understand what the
idea is after reviewing it at this resource. Overall it makes for a great companion
site alongside other learning tools to introductory ideas in mathematics.

5. TITLE: Springer Online Reference

CONTENT: It should be a well known fact to everybody learning mathematics that
it is really a language onto itself. And since mathematics is to be considered
a language every student engaged in the study of it must have ready access to
some form of a math dictionary or encyclopedia resource. The Online Encyclopaedia
of Mathematics is a very up-to-date and comprehensive graduate-level reference
resource in the field of mathematics. This online math dictionary comprises
more than 8,000 entries and illuminates nearly 50,000 notions in mathematics.
It is a great site for students at the graduate or undergraduate level as it
covers many advanced topics very well,

USES: For the student who has a specific math term that they need a detailed
and comprehensive explanation of, this is a great site to visit.