# 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 Editor — Quick Equations — TeX Equation Editor.
- 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
Free videos on algebra. geometry, trigonometry, calculus, finance, statistics, probability, economics, physics, SAT prep, GMAT prep and more…

- The MacTutor History of Mathematics archive
MacTutor is a free online resource containing biographies of nearly 3000 mathematicians and over 2000 pages of essays and supporting materials.

- 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 Page
- Lucid and easy-to-follow descriptions teach a course in basic algebra and topics in trignometry, precalculus, calculus, and real numbers.
- Math TV (video)
Math videos and math learning resources designed to help students with homework and test preparation.

- Math Whiteboard
- Shareable online whiteboard free for math students and teachers.
- 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.
- PBS Infinite Series (video)
- Archives of a show about math and equations from PBS.
- Socratica (video)
- Videos about math, science, and studying.
- 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.

- Zero in Four Dimensions
Cultural, Historical, Mathematical, and Psychological Perspectives

revealing facts and fallacies about the number zero.

#### Chart and Graph Tools

#### 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: 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.

- New York State Regents Exams – Math Reference Sheet
- 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 youâ€™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 … 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. - 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: Geometry
- Khan Academy: High School Geometry
- Bideo lessons and practice for geometry concepts, from beginning to advanced.
- 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.

- Dr. Math: Basic Truth Tables and Equivalents in Logic
- Shows and briefly discusses the basic truth tables in mathematical logic. Part of the site’s section on High School 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
- 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 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.
- 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.

#### 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.
- Khan Academy: Statistics and Probability
- Khan Academy: High School Statistics
- Video lessons and practice.
- 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.

- 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.

- 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.
- Libre Texts: Elementary Trigonometry
- Libre Texts: Elementary Trigonometry
- Free online textbooks in geometry.
- 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.