Mathematics


General

42Explore: Pi
Links to all sorts of pages about pi.
Apps on Mathematics
Interactive demonstrations of mathematical principles.
Ask Dr. Math
Ask Dr. Math is a question and answer service for math students and their teachers. With searchable archives.
Brightstorm: Math (video)
Free short videos covering topics in algebra, geometry, trigonometry, precalculus, and calculus.
Cornell University Library: Historical Math Monographs
Scanned, searchable editions of over 500 historical works about mathematics.
Cut the Knot
A site with mathematics miscellany, including games, articles, demonstrations, and tips and tricks.
Famous Problems in the History of Mathematics
The purpose of this site is to present a small portion of the history of mathematics through an investigation of some of the great problems that have inspired mathematicians throughout the ages.
Free Math Help
We have many math help resources available, including math lessons, math games, and a math help message board. Includes algebra, geometry, trig, calculus, and statistics.
Get the Math
“Get the Math” is about algebra in the real world. See how professionals use math in music, fashion, videogames, restaurants, basketball, and special effects. Then take on interactive challenges related to those careers.
Glossary of Mathematical Mistakes
This is a list of mathematical mistakes made over and over by advertisers, the media, reporters, politicians, activists, and in general many non-math people.
Interactive Mathematics: Learn math while you play with it!
Use Flash, Scientific Notebook and LiveMath to explore mathematics and get a better understanding of what it all means. … Check out the extensive math lessons – easy to understand and easy to read.
Khan Academy
Khan Academy: YouTube playlists
Thousands of free videos on algebra. geometry, trigonometry, calculus, finance, statistics, probability, economics, physics, SAT prep, GMAT prep and more…
The MacTutor History of Mathematics archive
Biographies of mathematicians, math in various cultures, mathematical topics, Famous Curves Index, Mathematician of the Day, and links to other sites, and much more.
Math247
Mathcasts are screencasts (screen movies of writing with voice) that focus on mathematics. This wiki site includes ‘casts by teachers and students on a variety of topics.
The Math Forum
Math Forum Library
A useful gateway to math sites for both students and educators.
Math in Daily Life
When you buy a car, follow a recipe, or decorate your home, you’re using math principles. Math concepts which are used in daily life are illustrated here.
Math Mornings at Yale
Math Mornings is a series of public lectures aimed at bringing the joy and variety of mathematics to students and their families…. The talks will usually be accessible to students from 7th grade and up, although occasionally some familiarity with high-school subjects will be helpful.
The Math Page
Lucid and easy-to-follow descriptions teach a course in basic algebra and topics in trignometry, precalculus, calculus, and real numbers.
Math Pages
Topics in advanced mathematics.
Mathtrain.TV
Both student and teacher created videos for middle school mathematics.
Math TV
Math videos and math learning resources designed to help students with homework and test preparation.
MathVids.com
A website dedicated to providing high quality, instructional, free math videos to middle school, high school, and college students who need math help.
Mathematical Quotation Server
This page points to a collection of mathematical quotations culled from many sources.
Mathematics in Movies
A collection of movie clips in which Mathematics appears.
Mathway
Mathway solves your math problems with step-by-step explanations. Great for practice and review.
PBS: Infinite Series (video)
Math is pervasive – a robust yet precise language – and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe.
SAGE: Mathematics
Cornell University’s Science & Arts Gateway for Education has an excellent set of math links for high school students.
S.O.S. Mathematics
Review material from Algebra to Differential Equations… more than 2,500 Math pages filled with short and easy-to-understand explanations.
Tutor-USA
We have great collection of free math video lessons and self-help tutorials from around the web in almost every high-school math subject.
WebMath
Shows how to solve various math problems.
What’s Special About This Number?
A list of various numbers between 0 and 9999, with brief explanations and links to information about their special properties.
Zero in Four Dimensions
Cultural, Historical, Mathematical, and Psychological Perspectives revealing facts and fallacies about the number zero.

Reference

Converters
ConverticiousOnlineConversion.comUnit Converter
Change pounds to kilograms, European sizes to American, square meters to square inches, and more.
English-Spanish Math Dictionary
English math terms listed with their Spanish equivalents.
How Many?
A Dictionary of Units of Measurement.
Math2.org
Math reference tables, including algebra, geometry, trig, calculus, conversion tables, etc. Also includes links to other math sites.
Math.com: Formulas and Tables
The same information as Math2.org arranged in a different style.
Math Reference
A mathematics reference for students and teachers.
Math Open Reference
Using interactive tools and compelling animations, it provides an engaging way to learn and explore the subject. Teachers will have new ways to teach, and the students a new way to learn that is fun and engaging.
Math Reference Project
An electronic archive of mathematical information. Topics range from high school geometry up to graduate level topology, and (almost) everything in between.
Mathwords: Terms and Formulas from Beginning Algebra to Calculus
An interactive math dictionary with enough math words, math terms, math formulas, pictures, diagrams, tables, and examples to satisfy your inner math geek.
MathWorld
MathWorld is a comprehensive and interactive mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers.
McGraw Hill Mathematics eGlossary
Glossary of math terms commonly encountered in grades 6 through 12, plus a selection of formulas. Very handy and complete reference!
Online Mathematics Textbooks
Links to free online math books, mostly for college-level and above.
SOS Mathematics Tables and Formulas
This site is a place for students and educators to quickly access mathematical formulas. The tables will be organized by topics.

Algebra

Algebasics
Flash animation and video demonstrate the basics of algebra.
Algebra Lab
An online learning environment that focuses on topics and skills from high school mathematics that students must be able to draw upon in their introductory science courses.
Algebra: The Supplement
An entire algebra course online with videos, powerpoints, pdfs, and other handouts.
Algebrahelp.com
A collection of lessons, calculators, and worksheets created to assist students and teachers of algebra.
College Algebra
Over fifty short tutorial lessons in various aspects of algebra from simple 1-variable problems to complex nonlinear equations.
Cool Math: Algebra
Coolmath Algebra has a ton of really easy to follow lessons and examples (below) that will make you a successful algebra student.
A First Course in Linear Algebra
Free downloadable college-level textbook.
Linear Algebra
Another free downloadable college-level textbook.
Purplemath
Algebra lessons for high school students, link to other sites, study and homework hints.

Geometry

Euclid’s Elements
This site shows the principles of geometry by explaining and illustrating Euclid’s Elements with clear text and interactive graphics.
The Geometry Applet
Illustrative applet for Euclid’s Elements.
Geometry Playground
Photo exhibits about the geometry of seeing, of moving, and of fitting things together. Other features include at Geometry Garden, short videos of their Artists in Residence, and Activities and links for grades K-8.
Geometry: The Supplement
An entire geometry course online with videos, powerpoints, pdfs, and other handouts.
Fractals
  • Fractal GeometryLucid introduction to fractals by a team of Yale professors including the ‘father of fractal geometry’, Benoit Mandelbrot.
  • sci.fractals FAQThis FAQ is posted monthly to sci.fractals, a Usenet newsgroup about fractals; mathematics and software. This document is aimed at being a reference about fractals, including answers to commonly asked questions…
  • Wikipedia: FractalsBasic explanation of fractals. Includes images.

Logic & Critical Thinking

Critical Thinking Web
Over 100 free online tutorials on critical thinking, logic, scientific reasoning, creativity, and other aspects of thinking skills.
Dr. Math: Basic Truth Tables and Equivalents in Logic
Shows and briefly discusses the basic truth tables in mathematical logic.
An Elementary Introduction to Logic and Set Theory
Notes from a college course.
The Fallacy Files
Logical fallacies – what they are and how to recognize them.
forall x
An open access introductory textbook in formal logic.
High School Mathematics Extensions – Logic
Describes the basics of mathematical logic and logical formulas.
How to Avoid Common Logical Errors
“We’ve all probably made easily avoidable errors of logic; therefore, everyone will want to learn how to avoid doing so in the future. There is, of course, a logical problem with this last sentence: It assumes a premise that probably isn’t true–specifically, that we all care about not making logical errors. But if you do, and you want to avoid such traps, you need to hew to some basic strictures.”
How to Write Proofs
A publicly-available section of a minicourse in mathematical reasoning and logic.
A List of Fallacious Arguments
Describes several common fallacious arguments. Here you can learn to avoid using these false arguments yourself and to recognize when your opponant is using them.
Math and Logic Problems Galore
Math and logic problems might seem intimidating to some, but there are educational websites galore making them fun and entertaining. From word problems, puzzles, and ancient games like Nonograms to logic brain teasers, there is something here for everyone.
Open Learning Initiative: Logic and Proofs
A free class from Carnegie Mellon. Registering for the site allows saving of work.
Thou Shalt Not Commit Logical Fallacies
“A logical fallacy is usually what has happened when someone is wrong about something. It’s a flaw in reasoning. … Don’t be fooled! This website and poster have been designed to help you identify and call out dodgy logic wherever it may raise its ugly, incoherent head.”

Pre-Calculus and Calculus

Pre-Calculus
Exploring Precalculus
These materials provide an introduction to precalculus, using Mathcad or StudyWorks as a calculation and visualization tool. Many interactive examples let you explore the concepts and practice the skills necessary for understanding calculus.
Khan Academy: PreCalculus videos
Short videos on precalculus topics.
The Math Page: Topics in Precalculus
Explanations and equations highlighting various topics usually covered in precalc courses.
OJK’s Precalculus Page
A thorough coverage of precalculus topics. (Some pages are difficult to read due to formatting.)
Precalculus Tutorial
This tutorial is designed for students enrolled in a Precalculus Course, or a course in College Algebra and Trigonometry. It does not, and cannot, replace the textbook or other class resources or assignments.
The Prime Pages
Everything you ever wanted to know about prime numbers.

Calculus
Calculus Made Easy
Free online calculus textbook for online reading or downloading.
Calculus On The Web
The principal purpose of COW is to provide you, the student or interested user, with the opportunity to learn and practice problems in calculus … in a friendly environment via the internet.
The Calculus Page
Resources for students and teachers, plus links to many other calculus sites.
Calculus Quest
An introduction to calculus in the frame of a trip to a mythical mountain.
Coolmath Precalculus Review and Calculus Preview
The truth is that they throw a LOT of math into classes called “Precalculus” that is NOT needed for Calculus. So, this is just the Precalculus you’ll really need for Calculus 1… and I’ll show it to you exactly how you’re going to be using it — which is sometimes different than how it’s done in Precalculus.
Finite mathematics & Applied calculus Resources for students
Online tools and tutorials, quizzes, utilities, and more.
IntegralCALC
Video tutorials and a free “Calculus Survival Guide” ebook are available here.
Whitman Calculus
This is a freely available (Creative Commons licensed) calculus book, covering a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus. There is no chapter on differential equations.

Statistics

3 ways to spot a bad statistic (video)
Sometimes it’s hard to know what statistics are worthy of trust. But we shouldn’t count out stats altogether … instead, we should learn to look behind them. In this delightful, hilarious talk, data journalist Mona Chalabi shares handy tips to help question, interpret and truly understand what the numbers are saying.
Animated Statistics Demonstrations
Although these pages were written for behavioral statistics, they should be useful for anyone taking introductory statistics or in need of basic statistical information.
BB&N AP Statistics
Resources from the teacher and students of an AP Statistics class.
HyperStat Online Statistics Textbook
Free online textbook and links in a messy interface.
Introduction to Probability
Free downloadable textbook in .pdf format.
Interactives: Statistics: Cast Your Vote!
In an election season, it’s common to hear news reports regarding poll results. What do these figures mean and where do we get them? Follow a year in a fictitious election campaign for an inside look at the mathematics behind the polls and the news you hear everyday.
Journal of Statistics Education
Online journal archives (to 1993) and data archives available free on the web.
Khan Academy: High School Statistics
Khan Academy: Statistics and Probability
Two self-study classes from Khan Academy.
MathPages: Probability and Statistics
Explanations various aspects of probability and statistics.
Online Statistics Education: An Interactive Multimedia Course of Study
This … is an introductory-level statistics book. The material is presented both as a standard textbook and as a multimedia presentation. The book features interactive demonstrations and simulations, case studies, and an analysis lab.
Probability by Surprise
Applets demonstrating various aspects of probability theory, plus links to the complete notes for a college Introduction to Probability class.
Seeing Theory
Subtitled “a visual guide to probability and statistics”, this project is designed to make statistics more accessible to a wider range of students through interactive visualizations..
Statistics Every Writer Should Know
Clear explanations of various concepts in statistics (such as mean, median, per capita, sample size), aimed at journalists but useful to everyone
STATS
Since its founding in 1994 … (STATS) has become a much-valued resource on the use and abuse of science and statistics in the media.
Thought.co: Statistics
The numbers back it up: statistics doesn’t have to be hard. Learn to explain data and calculate statistics with beginner to advanced tutorials, tools, worksheets, and formulas for students and teachers.

Trigonometry

Dave’s Short Trig Course
Brief introduction to trignometry from a college professor.
Free Trigonometry Tutorials and Problems
Free tutorials and problems on solving trigonometric equations, trigonometric identities and formulas can also be found. Java applets are used to explore, interactively, important topics in trigonometry such as graphs of the 6 trigonometric functions, inverse trigonometric functions, unit circle, angle and sine law.
An Introduction to Trigonometry
A concise online review.
The Math Page: Trigonometry
From a CUNY mathematics professor.
SOS Mathematics: Trigonometry
Math review material on trigonometry.
Trigonometry: A Crash Review
Online overview and review of core trigonometry concepts.
Trigonometry Tutorial
Tutorial pages from a university professor.
| Copyright 2014 © Seton Catholic Central