The Ultimate Guide to Math Resources

The following collection of math resources were created for both teachers and students and cover all aspects of math including algebra, geometry, calculus, and many more.

Math is an extremely important subject both in school and in life. In fact, almost everything known and unknown to man can be presented and explained in a mathematical language, including the interconnectedness of nearly all processes and occurrences. As a result, math has a high applicability and applies methodical or systematic approaches to issues and situations. It also spans wide areas as creativity, reasoning power, critical thinking, communication, spatial or abstract thinking and problem solving.

The following is an array of resources for all levels of math students to use to make their experience with the subject both enjoyable and rewarding.

Resources for Elementary and Middle School Students

Math is very important in elementary school, for at this level, students are taught basic math, such as addition and subtraction, which can prove beneficial in their future academic and personal live. The foundation level also involves problem solving and computation skills with fractions, percentages, decimals as well as negative numbers, which helps prepare students to be competent in middle school math subjects like pre-algebra and algebra. Elementary students will need a one-on-one instructor using a blend of verbal, mental, tactile, visual and written tasks to help students understand how numbers work as they lay the foundation for the basic math skills and concepts.

Below are some resources to help with all that:

AAA Math

Triple A Math includes an array of different tools and lessons including a collection of interactive arithmetic lessons.

A Maths Dictionary

A Maths Dictionary for Kids in an interactive online maths dictionary with over 630 resource including definitions, examples, and calculators.

Figure This

Figure This is a great way for families to work on and enjoy math related activities outside of school.

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Fun Brain

Funbrains’ Math Arcade includes of 25 different math games for kids.

Kid Zone

KidZone provides a collection of math related worksheets and games geared towards elementary and middle school students.

Multiplication.com

Multiplication.com provides an array of games, activities, and math resources associated with multiplication.

Math Games for Kids

Math games are an important element of teaching and learning for math students of all levels. Math games can be used in developing and sustaining an interest in the subject, as well as mastering important math concepts, such as division, multiplication, addition, fractions and subtraction. Teachers use different methods to deliver the games, including video, to help the students understand better such topics as order of operations, proportions, addition and subtraction, the number line, expressions, integers, function tables, as well as simple and complex equations. Math games can also be a fun way for parents and guardians to train their children in math and help them remember and understand what they were taught in class or what they might have missed in their lessons.

You can use the resources below to guide you in your math games:

Cool Math

A collection of math games covering pre-algebra, algebra, and precalculus.

Cool Math Games

Online math games with different strategies and goals including skills, numbers, and logic.

Learning Games for Kids

A collection of games for elementary and above covering such topics as money, geometry, algebra, and even basic multiplication.

Math Is Fun!

Striving to make math fun and including a selection of games including a feature of the month.

Math Playground

A collection of useful games covering math games, number puzzles, problem solving.

Online Math Learning

A free collection of popular online math games that can be useful for k-12 students.

Resources for High School Students

High school level math requires greater focus as students study more complex subjects, such as algebra 1, algebra 2, pre-calculus, geometry and trigonometry to prepare students to finish school, sit for placement exams for college and other standardized exams, including the ACT and the SAT. Since a foundation in math has already been laid in elementary and primary school, high school math instruction and learning is meant to cement the concepts and assist students who might be already struggling with the subject. Since these students are already busy, they need precise resources to help with their existing gaps, especially gaps that are bound to give them a poor college exit score.

Use the links below to access some of the best resources for high school math:

AMSER

The Applied Math and Science Education Repository provides a variety of math resources for high school level students.

Bright Storm

2,000+ Videos on concepts, sample problems and shortcuts to help high school level learners. 

Double Division

A teaching aid build to help students with long division. 

Free Math Help

Free math lessons broken up in to the following categories: algebra, geometry, trigonometry and calculus. 

Math Bits

Fun and challenging lessons in high school and college level mathematics. 

Math Planet

Online math resource for students that is free and also provides resources for SAT and ACT prep. 

Math TV

Over 10,000 video based math tutorials that can be streamed online!

Math World

A Wolfram resource, calling itself the worlds most extensive mathematics resource. 

Math - Stack Exchange

A math based community existing on the stackexchange environment offering various resources .

That Quiz

Math test resources for students and teachers. 

+plus Maths

A digital version of the print magaze +plus maths featuring stories on the field of mathematics and resources. 

Interactive

Interactive is free online courseware for exploring science and math.  

Resources for All Students

The resources below span various cross-cutting needs for teachers and learners of math. All of us need to inculcate a culture that involves the love for math, which we can then easily pass on to others and future generations. The resources include abacus, a tool for math instruction – which was especially popular in Europe, Russia and China – that was famed long before the Hindu-Arabic system. Below you will find resources for instruction in math, fun ways of learning math (game, teasers and success stories) and resources for interactive math puzzles and forums where people share and discuss math problems and get the assistance they need.

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Resources for Algebra

With algebra, it is all about the variables x, y, z (or any other letter). Variables usually represent a number in an equation, whether simple or complex. In elementary math, the spaces where a number is supposed to be in an equation is usually shown by a space or box, but in higher math that gets replaced with a letter (the variable). This is helpful because one equation can have several variables which become harder to present using blank spaces or boxes. Many people find algebra quite fun to work with, but that does not remove the necessity of using a variety of resources to instruct, learn or practice algebra skills.

Below are some useful resources:

Resources for Geometry

Geometry deals with the study of points, surfaces, lines, angles and solids (shapes and their properties). Plane geometry deals with flat shapes (lines, triangles, circles), while solid geometry deals with 3-dimensional objects (prisms, cubes, spheres, cylinders). Geometry uses several symbols for its shapes to represent such things as degrees/angles (acute, right, reflex, etc.), radians and parallel lines. Drafting tools are used in geometry to draw the various shapes and solids. Notable sub-topics in geometry include transformations (rotation, reflection), symmetry, coordinates, trigonometry, as well as the Pythagoras’ theorem.

Use the resources below to improve and optimize your understanding and skills in geometry:

Resources for Trigonometry

Trigonometry involves the study of functions that are defined around the unit circle. It includes angles and the angular relationships found in planar and 3-dimensional figures. The functions involved are the cosine, cosecant, cotangent, secant, tangent and the sine, together with their inverses. In algebraic terms, trigonometric functions are defined using complex exponentials with the aid of the Euler formula. The Osborn’s rule comes in handy when transforming trigonometric functions to analogues ones for hyperbolic functions.

The resources below help both the student and the teacher grasp key trigonometry concepts as well as help with teaching and revision of difficult trigonometry quizzes:

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Resources for Differential Equations

A differential equation is one that contains derivatives which can be either ordinary or partial, for example: Newton’s Second Law of Motion. A differential equation includes order, which is the largest derivative contained within the equation. Order doesn’t depend on whether the derivatives in the equation are ordinary or partial, and second order differential equations can actually be extended to other higher orders with much ease. An ordinary differential equation (ode) is one with ordinary derivatives in it, while a partial differential equation (pde) is one with partial derivatives. There are also linear and non-linear differential equations. Differential equations also have a solution which is usually accompanied by intervals that must contain crucial information about the solutions.

Below are some resources to shed more light on the topic:

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Resources for Calculus

Calculus involves taking an abstract theory and developing it in a pure, formal way. It’s also referred to as analysis, which is the study of the rate of change in quantities (slopes of curves), area, length and volume of objects. The topic is usually divided into integral (derivatives) calculus and differential calculus. Calculus can be difficult, so it’s important for students to utilize as many resources as possible as they develop their understanding of this complex math subject.

The resources below are helpful in assisting with your calculus teaching and study:

Resources for Math Teachers

Students tend to show more interest in puzzles and riddles because it makes them more alert and encourages group work. A teacher who develops clear concepts for the learner from elementary classes gives the child a better chance at liking and enjoying the subject. Diagrams, sketches, pictures and models are useful in explaining a topic because they help the children form a better picture of the puzzle or calculation. This should be accompanied by appreciating the learner for every small progress they make, as well as quickly correcting their errors and omissions without unnecessary criticism.

The resources below help the teacher prepare and define a better learning experience for his class:

Math Contests and Competitions

Math contests and competitions are extracurricular activities that tend to have wide participation and are used to bring together math enthusiasts to challenge each other and inspire them to sharpen their skills in math. Contests and competitions tend to gain students’ interest due to their competitive nature, as well as their ability to assist students in approaching life with abilities for dealing with both failure and success. The best contests are well designed, with well qualified judges and students coming from different backgrounds and school settings. These speed, memorization and problem solving competitions are useful in developing a student’s attitude towards critical thinking if they are prepared for and delivered with a focus greater than merely the classroom experience.

Participants and organizers of these contents need lots of preparation and part of that demands resources to help you prepare and get updated to trends in other similar competitions all over the world. The resources below form a good start:The resources below help the teacher prepare and define a better learning experience for his class:

Use these handy resources to improve your performance in math and make your interaction with the subject as enjoyable as possible. Who knows? Soon you might start seeing other students trooping to your desk for help with some of the seemingly tough calculations. Or, if you are a math teacher, directing your class to these resources might be the missing link to better performance and greater interest in the subject.