Mathematics


General

Apps on Mathematics
Interactive demonstrations of mathematical principles. The page may look old-fashioned, but it is regularly updated, so don’t be afraid to take a look!
Chrome Math Equation Apps
Check out these Chrome apps for writing and editing math equations: MATH KeysQuick EquationsTeX Equation Editor.
Free Math & Science Adaptive Practice and Worksheets
Concepts in K-12 math and science, with free practice assignments, and an AI Tutor. The CK-12 Foundation offers numerous free online Flexbooks (online textbooks) as well.
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.
The Greatest Maths Mistakes (video)
A mathematician and comedian speaks about some famous – or infamous – math errors in real life projects. For another look at mathematical mistakes, check out 10 Simple But Costly Math Errors In History.
Khan Academy – Math
Free videos on algebra. geometry, trigonometry, calculus, finance, statistics, probability, economics, physics, SAT prep, GMAT prep and more…
LibreTexts: Mathematics
Free online textbooks and writings in mathematical topics from arithmetic to calculus and related topics.
Math Is Fun
We offer mathematics in an enjoyable and easy-to-learn manner, because we believe that mathematics is fun. Includes math topics such as algebra, geometry, and calculus, plus math puzzles and games, a math dictionary, and other materials.
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 Whiteboard
Shareable online whiteboard free for math students and teachers.
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.
PBS Infinite Series (video)
Archives of a show about math and equations from PBS.
Socratica (video)
Videos about math, science, and studying.
TED-Ed: Math in Real Life
Mathematics is all around us. It can be seen in every aspect of our daily lives, from technology to art, engineering, finance, and even sports. This series explains mathematics, from its origins to its surprising modern uses.
Zero in Four Dimensions
Cultural, Historical, Mathematical, and Psychological Perspectives revealing facts and fallacies about the number zero.

Formulas and Tables

ADDucation – Units of Measurement List
A list with definitions and equivalents for units in both metric and English systems of measurement.
Math.com: Formulas and Tables
Math reference tables, including algebra, geometry, trig, calculus, conversion tables, etc.
MathReference archive
An electronic archive of mathematical information. Topics range from high school geometry up to graduate level topology, and (almost) everything in between.
Mathwords
An interactive math dictionary with enough math words, math terms, math formulas, pictures, diagrams, tables, and examples to satisfy your inner math geek.
New York State Regents Exams – High School Mathematics Reference Sheet (2011)
This is the single page containing the formulas and information which students taking NY State Regents Exams are allowed.
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.
Wolfram Alpha MathWorld
MathWorld is a comprehensive and interactive mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers.

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

AlgebraLAB
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 … that will make you a successful algebra student.
How to Write Your Own Equation in Algebra
It can be helpful to view equations as a scale in which weights are used to keep it balanced. The scale is balanced when what is placed on the right-hand side is equal in weight to what is on the left-hand side. Solving an equation can also be thought of in terms of adding weight to the left or right-hand side of the scale to balance it out.
Khan Academy: Algebra 1
Khan Academy: Algebra (all content)
Video lessons and practice from the basics through more advanced topics.
Libre Texts: Algebra
Free online textbooks in basic, intermediate, and advanced algebra.
Learn Algebra
This YouTube playlist offers 10-20 minute videos about various aspects of algebra.
Math Planet
Math Planet offers free courses in Pre-Algebra, Algebra 1, and Algebra 2.
Virtual Math Lab: College Algebra
Over fifty short lessons in various aspects of algebra from simple 1-variable problems to complex nonlinear equations.

Calculus

Calculus for Beginners
Online course from a mathematics professor at MIT.
Calculus Made Easy
Free online version of 1910 calculus textbook at Project Gutenberg.
Calculus Online Textbook
This MIT page offers a free downloadable (PDF) calculus textbook plus links to a set of class videos.
The Calculus Page Problems List
Sample calculus problems with step-by-step solutions.
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.
Libre Texts: Calculus
Free online books and materials for calculus.
Math is Fun: Calculus
Explains basic topics in differential and integral calculus.
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.
IXL: Geometry
IXL offers hundreds of Geometry skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.
Khan Academy: Geometry
Khan Academy: High School Geometry
Video lessons and practice from the basics through more advanced topics.
Libre Texts: Geometry
Free online textbooks in basic and advanced college geometry.
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

related topic: Research: Critical Thinking

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.
forall x
An open access introductory textbook in formal logic.
High School Mathematics Extensions – Logic
Section describing the basics of mathematical logic and logical formulas from a free online textbook.
How to Write Proofs
A publicly-available section of a minicourse in mathematical reasoning and logic.
Logic and Mathematical Statements
Self Test, Worked Examples, and Practice Problems from the University of Toronto.
Math and Logic Puzzles
Sets of puzzles and solutions from the Math is Fun site.
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.
Study: Introduction to Logic (video)
Series of videos from a Stanford professor on formal logic.

Pre-Calculus

Coolmath Precalculus Review
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 in pre-calculus topics.
Libre Texts: Precalculus & Trigonometry
Free online textbooks in trigonometry and precalculus concepts.
The Math Page: Topics in Precalculus
Explanations and equations highlighting various topics usually covered in precalc courses.
Precalculus Help and Problems
Topics in precalculus will serve as a transition between algebra and calculus, containing material covered in advanced algebra and trigonometry courses. Precalculus consists of insights needed to understand calculus.
The Prime Pages
Everything you ever wanted to know about prime numbers.

Probability and Statistics

3 ways to spot a bad statistic (video)
In this delightful, hilarious talk, data journalist Mona Chalabi shares handy tips to help question, interpret and truly understand what the numbers are saying. From TED Talks.
Against All Odd: Inside Statistics
A video instructional series on statistics for college and high school classrooms and adult learners; 32 6- to 14-minute video modules and coordinated guides.
Crash Course: Statistics (video)
Short (10-12 minute) videos discussing various concepts in statistics.
Khan Academy: Statistics and Probability
A course of study beginning with the basics of analysing categorial data and moving on through further analysis, probability, ditribution, and more advanced topics.
Khan Academy: High School Statistics
Video lessons and practice on quantitative analysis, plots, and probabilty.
Math is Fun: Probability
Many events can’t be predicted with total certainty. The best we can say is how likely they are to happen, using the idea of probability. This page clearly explains some basic concepts in this area.
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.
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
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.
When Can You Trust Statistics? (video)
Five minute video from the BBC discussing three easy tips for making sense of statistics you might find in the media.

Trigonometry

Dave’s Short Trig Course
Brief introduction to trignometry from a college professor.
Introduction to Trigonometry
A concise online review.
Khan Academy: Trigonometry
Video lessons and practice.
Libre Texts: Precalculus & Trigonometry
Free online textbooks in trigonometry and precalculus concepts.
Trigonometry
This YouTube playlist offers 10-20 minute videos about various concepts in trigonometry.
The Math Page: Topics in 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.
Wikibooks: High School Trigonometry
Free online textbook in trigonometry.
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