Mathematics


General

Apps on Mathematics
Interactive demonstrations of mathematical principles.
Chrome Math Equation Apps
Check out these Chrome apps for writing and editing math equations: Daum Equation EditorQuick EquationsTeX Equation Editor.
Cornell University Library: Historical Math Monographs
Scanned, searchable editions of over 500 historical works about mathematics.
Cut the Knot: Interactive Mathematics Miscellany and Puzzles
A site with mathematics miscellany, including games, articles, demonstrations, and tips and tricks.
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 – Math
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, links to other sites, and 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.
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.
The Math Page
Lucid and easy-to-follow descriptions teach a course in basic algebra and topics in trignometry, precalculus, calculus, and real numbers.
MathPages
Topics in advanced mathematics.
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.
MIT OpenCourseWare: Mathematics
Dozens of online college mathematics courses.
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.
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.

 Math Videos 

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…. Archived.
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
A website dedicated to providing high quality, instructional, free math videos to middle school, high school, and college students who need math help.
PBS Infinite Series
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. From PBS.
Socratica
Socratica makes high-quality educational videos on math and science.
Thinking Mathematics!
Links to videos about aspects of math from middle school on up.
Tutor-USA: Free Math Videos
We have great collection of free math video lessons and self-help tutorials from around the web in almost every high-school math subject.

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 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.
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.

Videos

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…. Archived.
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
A website dedicated to providing high quality, instructional, free math videos to middle school, high school, and college students who need math help.
PBS Infinite Series
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. From PBS.
Socratica
Socratica makes high-quality educational videos on math and science.
Thinking Mathematics!
Links to videos about aspects of math from middle school on up.
Tutor-USA: Free Math Videos
We have great collection of free math video lessons and self-help tutorials from around the web in almost every high-school math subject.

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 Help
A collection of lessons, calculators, and worksheets created to assist students and teachers of algebra.
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.
Khan Academy: Algebra
Khan Academy: High School Algebra
Video lessons and practice.
Linear Algebra
Another free downloadable college-level textbook.
Virtual Math Lab: College Algebra
Over fifty short tutorial lessons in various aspects of algebra from simple 1-variable problems to complex nonlinear equations.

Calculus

Calculus Made Easy
Free online version of 1910 calculus textbook.
Calculus Quest
An introduction to calculus in the frame of a trip to a mythical mountain.
Finite mathematics & Applied calculus
Online tools and tutorials, quizzes, utilities, and more.
Free Calculus Tutorials and Problems
Free interactive tutorials that may be used to explore a new topic or as a complement to what have been studied already.
Khan Academy: Math
Scroll down for links to video lessons and practice for differential calculus, integral calculus, AP Calculus, Multivariable Calculus, and more.
Whitman Calculus
This is a freely available (Creative Commons licensed) calculus book, covering a fairly standard course sequence….

Geometry

Euclid’s Elements
This site shows the principles of geometry by explaining and illustrating Euclid’s Elements with clear text and interactive graphics.
Fractal Geometry
Introduction to fractals by a team of Yale professors including the ‘father of fractal geometry’, Benoit Mandelbrot.
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.
Khan Academy: Math
Scroll down for links to video lessons and practice for High School Geometry, Basic Geometry, Geometry from EngageNY, and more.
Khan Academy: Geometry
Khan Academy: High School Geometry
Video lessons and practice.
Math Is Fun: Geometry
Why do we do Geometry? To discover patterns, find areas, volumes, lengths and angles, and better understand the world around us.
MathPlanet: Geometry
Geometry … will guide you through among other things points, lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles and area.

Logic & Critical Thinking

Logic

Discrete Mathematics – Propositional Logic
Propositional Logic is concerned with statements to which the truth values, “true” and “false”, can be assigned. The purpose is to analyze these statements either individually or in a composite manner.
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.
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 Write Proofs
A publicly-available section of a minicourse in mathematical reasoning and logic.
Introduction to Logic
Free online lessons from Stanford.
Introduction to Logic (video)
Introductory logic, definitions and examples, truth tables, equivalent statements, quantifiers, conditionals….
Logic and Mathematical Statements
Self Test, Worked Examples, and Practice Problems
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.
Mathematics | Introduction to Propositional Logic
Logic is the basis of all mathematical reasoning, and of all automated reasoning. The rules of logic specify the meaning of mathematical statements.
Propositional Logic
As the name suggests propositional logic is a branch of mathematical logic which studies the logical relationships between propositions (or statements, sentences, assertions) taken as a whole, and connected via logical connectives.

Critical Thinking

Critical Thinking Web
Over 100 free online tutorials on critical thinking, logic, scientific reasoning, creativity, and other aspects of thinking skills.
The Fallacy Files
Logical fallacies – what they are and how to recognize them.
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.
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

Coolmath Precalculus
Review of algebra, graphic, and other topics for 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
Video lessons and practice.
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.

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.
Crash Course: Statistics
Short (10-12 minute) videos discussing various concepts in statistics.
HyperStat Online Statistics Textbook
Free online textbook and links in a messy interface.
Introduction to Probability
Free downloadable textbook in .pdf format.
Khan Academy: Statistics and Probability
Khan Academy: High School Statistics
Video lessons and practice.
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….
Introduction to Trigonometry
A concise online review.
Khan Academy: Trigonometry
Video lessons and practice.
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.
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