Mathematics is based on fundamental rules. From basic math to differential and integral calculus, it is the adhesion to the rules that make math the language of science and innovation. Algebra facilitates the declaration of what is known about a variable or variable using something akin to a mathematical sentence as an Equation of an Inequality. Geometry deals with space and the properties of figures, such as size and shape. Trigonometry is the study of triangles and angles and their relationship, the greatest example of which is seen in the great Pyramids of Egypt. Calculus deals with variable, or changing quantities providing a means to measure change. Mathematics is the underpinning of modern civilization
The WikiPedia
site can be used just as you would an encyclopia to learn about mathematics.
We have placed it first in the list because of its broad range of mathematical
information.
Wikipedia Math Category
10 Ticks
This maths website has been created to provide a source of enrichment
activities to support classroom activities. There are mathematical games
and puzzles as well as online tutorials to help with homework. There are
hundreds of applets linked to English National Curriculum levels in the
Interactive maths area as well as oddball mathematical activities!
Calculus II for Dummies
Online version you can read of the book Calculus II for Dummies. There is also a cheat cheat for the book Calculus II for Dummies.
A+
Math
"This web site was developed to help students improve their math skills
interactively. " Problems cover extremely basic arithmetic
and mathematical games, and include work sheets and flash cards. Topics
include: addition, subtraction, multiplication, division, money problems,
decimals, percentages, and fractions. It is an interactive educational
math web site that includes games, flashcards, worksheets and homework
helper sections. Teachers, parents and students can use the web site to
print flashcards or worksheets, either custom or automatically generated.
Students can practice problems by solving worksheets or flashcards online
and A+ Math will determine how many they got correct.
Abiator's Active
Classroom
This website has been produced by a teacher from New Zealand
that allows pupils to try a variety of interactive maths actives. A number
of options are available including contracts, problem solving, quizzes,
multiple choice and mathematical crosswords. There is also a "Problem
of the Day". Answers are available but only as part of a set or zipped
file which are available for purchase.
Algebra
Homework Help
Hundreds of practice problems to solve step-by-step interactively, math
calculators, and even premade worksheets. Problems range from high school
algebra to linear and abstract algebra. There is also an emphasis on word
problems. The site is commercial, but you can enjoy it without buying
anything.
Algebra Project
Founded by SNCC's Civil Rights activist Robert P. Moses in the 1980's,
the Algebra Project has developed curricular materials, trained teachers
& trainers of teachers, provided ongoing professional development
support, and community involvement activities to schools seeking to achieve
a systemic change in mathematics education. The Algebra Project builds
local networks of students, parents, teachers, administrators, community
activists and professionals into policy groups that take responsibility
and ownership for implementing the project. The Algebra Project presently
serves over 40,000 school students at 22 urban and rural sites in 13 states
across the South, the West Coast, the Midwest and the Northeast. In the
words of Robert P. Moses:" "The main goal of the Algebra Project is to
impact the struggle for citizenship and equality by assisting students
in inner city and rural areas to achieve mathematics literacy. Higher
order thinking and problem solving skills are necessary for entry into
the economic mainstream. Without these skills children will be tracked
into an economic underclass."
Algebra
Word and Story Problems
After a brief article explaining the general approach to word problems,
one can try word problems on one's own. The word problems are at the bottom
of the page. Many of them end with simply setting up the equation, the
most difficult part of solving. There are links to other algebra-related
pages and to pages that offer help with other subjects. The site appears
stable, but has not been updated in several years.
Algebrahelp.com
Worksheets and lessons that cover nearly all high school and freshman
college algebra. There is an explanation of how to do word problems, but
no word problems for practice. The site is commercial, but you can use
it without buying anything.
Alvarine
High School Problem of the Week
You can study calculus right along with the AB and BC advanced placement
calculus students at Alvarine High School in Hudson, New Hampshire. The
site contains problems submitted both by the students and teachers and
also by the general public. New problems appear every week from September
to early May. This site retains the old style tables but it receives periodic
updates and even has had a partial graphical makeover.
AP
Calculus at Batesville High School
This site features calculus and precalculus practice problems, a college
algebra and pracalculus review, and even a "calculus readiness" test.
There are a few dead links on the site, and it was last updated several
years ago.
Ask
Dr. Math (Middle School Level)
Look at answers that Dr.Math, a group of expert math teachers and mathematicians,
have given. Look through a very long table of contents for your topic
or use the site's search engine. Topics range from "about math" to algebra
and geometry.
ATM
The Association of Teachers of Mathematics (ATM) supports the teaching
and learning of mathematics by encouraging the joy of maths, developing
the understanding of how people learn maths, sharing and evaluating teaching
and learning strategies and promoting new ideas and possibilities. The
ATM 2003 conference will be held at Bath University and speakers will
include Simon Singh, the author of Fermat's Last Theorem and The Code
Book.
Aunty
Math
The mission of the DuPage Children's Museum is to stimulate curiosity,
creativity, thinking and problem solving among young children. Children's
familiar experiences are expanded through self-directed, interactive exhibits
and programs focusing on the integration of the arts and sciences. Its
Aunty Math website is for infants and juniors and provides fortnightly
challenges.
Basic
Trigonometry
A brief outline with illustrations that explains slope, the right triangle,
sum of the angles of a polygon, and the Pythagorean theorem. This site
does not cover sines, cosines, and other related functions.
Dave's
Short Trig Course
This site is an outline style textbook that covers basic concepts in trigonometry.
It does not replace a practice book, text book, or real life teacher.
The site covers trigonometric functions and their inverses but has nothing
on conic sections.
Bamdad's Math Comics
Barndad Samii's website is a collection of some math related comics and
cartoons he has collected or were sent to him through the years. These
resources can be used by teachers and students and Barndad Samii invites
visitors to submit their own materials.
Brainbasher's
Brain Teasers and Puzzles
Mathematical stumpers at various levels. Visual problems that involve
constructions, and even games are all here to tempt and entice any user.
Calc101.com
Step by step examples of derivatives and integrals. There is also a Mathematica
powered calculus calculator. Derivatives are free but it costs five dollars
for an integral password. Remember, you can still use most of the site
without paying for anything. This site has not been updated in more than
a year.
Centre for Innovation in
Mathematics Teaching
The CIMT was established at the University of Exeter in 1986. As the CIMT
is a centre for research and curriculum development in Mathematics teaching
and learning it was only a matter of time before it began to explore the
possibilities of the Internet. Jointly sponsored by Esso, British Steel,
the Post Office and Singapore Airlines, the website is being used to build
a database of resources for students and teachers. Some of the mathematics
worksheets available include those that cover topics such as Genetic Fingerprinting,
Postcodes, Time Zones, Tin Can Design, Bar Codes and Birthdays.
Convert It
A very useful website that enables visitors to convert from one unit of
measurement to another. Options include Area, Capacity, Distance, Energy
& Power, Temperature, Velocity/Speed, Volume and Weight/Mass.
CopyCat
iA captivating new 3D game designed and developed by Jim Morey. The game
revolves around replicating a picture created by several patterned faces
of a solid object (like a cube). This may sound easy to some, but it can
turn out to be quite tricky. So to do well at the game, the player must
first become familiar with the object. Copycat is rich with variety. There
are many different pictures that can be created with the patterned faces
of just one object and there are many different objects that can be used.
For a more subtle variation, the way the player manipulates the object
can also be changed.
Decimal
to Hexidecimal Conversion Table
Converting ordinary or decimal numbers into hexidecimal numbers is an
important skill for web page construction because "hex" numbers determine
background and text colors. While this fast loading site does not show
the colors, it does let you translate the numbers used in hex code to
ordinary notation and vice versa. Has not been revised since 1998.
Dictionary
of Math Words
From the common to the very obscure, this site lists and explains number
prefixes commonly used in math and science. The site loads easily despite
its framed format.
Discovery School
WebMath
Discovery School provides educational content and tools for teachers,
students and parents. For teachers, the site has over 300 comprehensive
lesson plans supported by Discovery Channel School video and an array
of teacher tools. As well as Maths students can find tools and information
in the areas of English, Social Studies and Science. Parents can also
find information on educational products and articles for helping their
students in school on the site.
EasyMaths
Produced by Echelon Systems, this website provides free Maths Tutorials.
The notes can be used as a gentle introduction to topics the student is
not familiar with, or as mathematics revision notes. Students can try
out some real exam-style questions, then look at the model answers to
see how they did. The practice maths problems include tips on solving
them. To help students relax when revision gets too much the website also
features a collection of magic, jokes, games and puzzles.
Euclid
Challenge
This website by Milton A. Mintz looks at the Euclid Challenge. It was
necessary to go beyond "Traditional Euclidian methods", since it was proved
by Pierrre Wantzel in the 19th century that when following these methods,
it was impossible to "trisect any angle" or "square a circle". Mintz,
an American Professor of Mathematics, uses only Euclid Tools: an unmarked
straightedge and compass.
Favorite
Mathematical Constants
The author of this page has lots of favorites. Constants, important numbers
that almost work like magic to solve certain equations or the numbers
"you just have to memorize," are here in abundance. Click on each constant
to get its definition written in mathematical language with a bit of English
added. There are constants for everything from arithmetic and number theory
to geometry, analysis, and engineering. There is a link to a numerical
table of constants too. This site has received both a visual and organizational
upgrade.
Fine Structure Constant
The question of how to calculate the numerical value of the fine structure
constant from theory was one of the most outstandingly difficult problems
in mathematical physics for the greater part of the 20th century. There
were many unsuccessful attempts by researchers, including famous ones
such as P. A. M. Dirac to find a formula for the fine structure constant.
Substantial progress with this fundamental problem is outlined on this
web page produced by James G. Gilson.
Footee
The website, aimed at 7-11 year
olds, contains football related educational games and movies (tutorials).
Offline materials include free teaching pack for teachers including lesson
plans, activity sheets, poster and teaching video. Footee combines fun,
football and education and aims to motivate children to learn through
their love of football and interactive gaming.
Free
Online Graphing Calculator
Graph algebra, trigonometric, and even differential calculus functions
using this free, fast, java-based graphing software. There is nothing
to download, and the grapher pops up in a separate window. Instructions
explain how to set up squares, cubes, roots, and trigonometric functions.
Graphing elipses not centered at the origin is extremely difficult.
GCSE Answers
Launched in 1996, GCSE Answers is the grand-daddy of the GCSE revision
websites and it remains to this day the most authoritative. It is also
the least commercial, being produced largely voluntarily by GCSE examiners,
among whom is CCEA Principal GCSE Mathematics Examiner, Kevin Davis, who
heads GCSE Answers' Mathematics Department. As teenagers can be impossibly
impatient, GCSE Answers' pages are designed above all to be fast and easy
to navigate. GCSE Answers eschews eye candy and appeals to the adult in
GCSE students. It also speaks to students on their own terms, discarding
the unnecessarily abstruse and alienating language of GCSE and academia.
What results is a work in progress in three clearly defined sections -
the Tutorials, the "Easy Starts" and the Heavy Duty Stuff - which broadly
address the three GCSE Mathematics Tiers of Entry and which have won more
awards and plaudits than you have had hot dinners. There is also Your
Questions, Our Answers which mops up miscellaneous student enquiries,
an index for fast reference, and an archive.
GCSE Higher Maths
This website provides free ICT resources for GCSE Higher Maths. Written
to accompany the Longman book, GCSE Higher Maths, these activities can
also be used even if you aren't using the book with your class. Activities
include ready-made Excel activities, Factfinder activities and accompanying
downloadable worksheets and teachers' notes. Offers registration facility
to notify you when new materials and special offers of interest are added
to the website.
GCSE Maths
This site has been developed specifically for students and for those wanting
help with GCSE level exams. It has been created in a simple way, with
a very wide range of content that enables quick and valuable usage. The
site is wholly free to use and is frequently used by teachers, pupils,
college students and professors from all around the world. The site includes
a Maths section with every topic necessary for GCSE level exams, coursework
advice and practise papers with answers. Finally there is also a Bookshop
where carefully selected texts have been added to give that extra bit
of help.
GCSE Maths Revision Website
A site providing comprehensive and concise revision notes for students
studying mathematics at GCSE level, particularly aimed at higher tier
candidates. The site includes all areas of the GCSE Mathematics course
and the site is easy to read and navigate and contains no advertisements.
Included in the site is a section on number, which contains topics such
as fractions, percentages, ratios and proportion. The algebra section
deals with ways of manipulating algebraic expressions and solving equations
using a variety of different techniques. There is also a section on shape
and space, which details the circle theorems and theorems relating various
angles. Areas and volumes are also addressed, along with details of how
shapes can be transformed. There is a small section on graphs, which explains
how to draw and analyse graphs of various functions along with travel
graphs. The statistics section includes all of the relevant topics, such
as probability, histograms and standard deviation. Finally, there is a
section on trigonometry which explains all you need to know about sine,
cosine and tangent, along with Pythagoras's famous law for right-handed
triangles. The site also includes practise questions, with answers, along
with some advice for those doing GCSE coursework.
Geometry
This amazing website created by Antonio Gutierrez provides an eclectic
mix of sound, science, and Incan history intended to interest students
in Euclidean geometry. Recent additions include Simson Line (proof of
Simson line), The Raft of the Medusa (problem solving with fractals and
animation), Archimedes and the Rhombicuboctahedron (Archimedes the Geometer),
Sierpinski Triangle and Machu Picchu (fractal illustration), Johnson's
Theorem (three equal circles pass through a common point), Varignon and
Wittenbauer Paralellograms (quadrilateral: midpoints and trisection points
of the edges) and Van Aubel's Theorem (quadrilateral with squares).
Google Calculator
To use Google's built-in calculator function, simply enter the expression
you'd like evaluated in the search box and hit the Enter key or click
the Google Search button. The calculator can evaluate mathematical expressions
involving basic arithmetic, more complicated mathematics, units of measure
and conversions and physical constants. You can also experiment with other
numbering systems, including hexadecimal and binary.
Graphics
for the Calculus Classroom
Animated demonstrations (most likely Java or Java Script) that help make
calculus principles and commonly encountered problems more understandable.
There are graphic demos from both differential and integral calculus and
a link to complex analysis demos as well. Note: these animations may not
work with all browsers. This site last received a revision in 1997.
Handbook
of Mathematical Functions
This online book includes the following chapters: Mathematical Constants,
Physical Constants and Conversion Factors, Elementary Analytical Methods,
Elementary Transcendental Functions
Logarithmic, Exponential, Circular and Hyperbolic Functions, Exponential
Integral and Related Functions, Gamma Function and Related Functions,
Error Function and Fresnel Integrals, Legendre Functions, Bessel Functions
of Integer Order, Bessel Functions of Fractional Order, Integrals of Bessel
Functions, Struve Functions and Related Functions, Confluent Hypergeometric
Functions, Coulomb Wave Functions, Hypergeometric Functions, Jacobian
Elliptic Functions and Theta Functions, Elliptic Integrals, Weierstrass
Elliptic and Related Functions, Parabolic Cylinder Functions, Mathieu
Functions, Spheroidal Wave Functions, Orthogonal Polynomials, Bernoulli
and Euler Polynomials, Riemann Zeta Function, Combinatorial Analysis,
Numerical Interpolation, Differentiation and Integration, Probability
Functions, Miscellaneous Functions, Scales of Notation and Laplace Transforms.
Houghton Mifflin: Brain
Teasers
Brain Teasers is part of the book publishers, Houghton Mifflin's Mathematics
Centre. New puzzles are posted every Wednesday. Solutions are given the
following week. All students who submit the correct answer are entered
into a weekly draw for T-shirt prizes. The website provides an archive
of previous Brain Teasers. As well as brain teasers, the Houghton Mifflin
also has a useful Mathematics Project Centre.
IBM
Ponder This
"You are cordially invited to match wits with some of the best minds in
IBM Research. Seems some of us can't see a problem without wanting to
take a crack at solving it. Does that sound like you? Good. Forge ahead
and ponder this month's problem. We'll post a new one every month, and
allow two to three weeks for you to submit solutions (we may even publish
submitted answers, especially if they're correct). " Since these problems
are submitted by and for engineers and programmers, they are extremely
challenging. Not for the mathematically faint of heart.
ICT and Mathematics
This free Inset pack has been specially devised for use by teachers who
may or may not be mathematics or ICT subject specialists. The lesson plans
and ideas are designed to give some starter lessons showing how ICT can
be integrated into the teaching and learning of mathematics and some ideas
for further developments. There are five modules in the Inset pack. The
first is an introductory presentation looking at the rationale for using
ICT in the teaching and learning of mathematics. The other four modules
cover: number, handling data; shape, space & measures and problem
solving. Each module includes activities which are referenced to the National
Numeracy Strategy Framework for Teaching Mathematics, though they can
be adapted to use with other curriculum subjects.
Interactive
Mathematics: Miscellany and Puzzles
"A resource that would help to learn, if not math itself, then, at least,
ways to appreciate its beauty... A resource for things, simple but curious,
related to mathematics." An assortment of math games and trivia with fairly
extensive explanations. Requires curiosity and interest rather than subject
background, and also includes a page of links too.
Interactive Mathematics
Most of the best educational websites have been created by people who
are enthusiastic about the subjects they teach. Alexander Bogomolny definitely
fits into this category. Interactive Mathematics is an attempt to reduce
what Bogomolny calls "math anxiety". His strategy is to provide a database
of games and puzzles that require deductive skills. Bogomolny argues that:
"Mathematics is the only deductive science. The peculiar beauty of Mathematics
lies in deduction, in the dependency of one fact upon another". He adds
that he is attempting to create a resource that will help people learn
"if not math itself, then, at least, ways to appreciate its beauty." Bogomolny's
website also includes sections on Maths Quotes, Did you Know?, Fast Reckoning,
Mathematics as a Language and Inventor's Paradox.
Interactive
Mathematics Online
Outlines with notes, illustrations, and sometimes sample problems for
algebra, geometry, trigonometry, as well as chaos and stereograms. The
author sees this page as a supplement to text books and course work. This
page needs an extra click for access, due to its being on Thinkquest.
This page has also not been revised in more than a year. Please watch
for dead links.
Interactive Online Geometry
Learn about all aspects of geometry at levels KS3 and KS4 (High School)
level by doing interactive online activities. Free online courses are
available in three main areas: Transformations, which include rotations,
reflections, enlargements and translations; Shape, including polygons,
angle properties, symmetry, quadrilaterals and circle theorems; and Geometrical
Construction which covers all aspects of compass and straight
edge construction mentioned in the National Curriculum for England and
Wales. There are extended resources on the history of geometry, compass
only constructions, "sacred geometry" and other topics which will challenge
the most able student (and teacher!). Every page is truly interactive,
allowing students to manipulate geometric shapes.
Karl's
Calculus Tutor
Extensive outline style explanations, including worked problems, for precalculus
and differential calculus. Also includes a section on why one should take
calculus, a check list of things one should already know, and tips on
sending mathematical notation through email. This site recently received
a graphic upgrade.
K-12
Math Problems, Puzzles, Tips & Tricks
Puzzle problems that deal with mental calculation, critical thinking,
numbers, shapes, and more. Some require algebra or geometry, but many
just require brain power. There is also a link to more games and puzzles
in the Mathematics Library.
Kids
Online Fraction Tutorial
A fraction tutorial for beginners. Starts with illustrations to teach
the basic idea of fractions and has tutorials for adding, subtracting,
simplifying, multiplying and dividing fractions. Java looks pretty but
makes the site a bit slow to load even with a rapid connection.
KidsMAP
MAPE (Micros and Primary Education) is an organization that has played
a pioneering role in using ICT in Britain. The KidsMAPE section of the
website includes a Random Number Generator (can be used in any activity
requiring random numbers), Greenfield Road (a 19th century database with
differentiated activities), a Maths Treasure Trail (pupils use the Internet
to hunt for mathematical answers), Bounce (a mathematical investigation)
and Number Grids (interactive teaching of numeracy).
Longman Maths
This website provides free, timesaving resources for Maths teachers. These
include interactivities using Excel, plus ideas for creating your own,
along with fully differentiated Maths challenges. Ready-made activities
for using the Internet to teach Maths are also included, and all are updated
regularly. You can also use this website to access Longman's range of
companion websites and its comprehensive online catalogue.
Making Mathematics Count
According to a government-backed report published this week, maths education
is failing on every account and needs a fundamental multi-million pound
overhaul. The current system of GCSEs and A-levels is not meeting the
needs of students, teachers, employers or universities, the report's author,
Professor Adrian Smith, said today as he published the damning 186-page
document, the result of a 15-month inquiry into the future of maths in
schools. Less than 10% of GCSE students go on to take A-level maths, and
less than 10% of A-level students go on to a maths degree, the report
says. Incentives should be considered to halt the "disastrous" decline
in pupils taking maths at A-level - examples mooted include waiving university
tuition fees for maths students.
Math League
The Math League website is dedicated to bringing challenging mathematics
materials to students. The website specializes in competitions. The author
claims that the website builds "student interest and confidence in mathematics
through solving worthwhile problems." Over a million students participate
in Math League contests each year and they are designed to cover a range
of mathematical knowledge.
Math
Magic
Mathematical stumpers designed for teams of school children to solve.
Problems are grouped roughly by grade level. Teachers can register their
classes as teams, but any one can try the problems without competing.
Math
Tutorial Index
A large selection of intermediate/college algebra, trigonometry, analytic
geometry (precalculus), and calculus functions and rules arranged in alphabetical
order. Definitions are technical, terse, and a bit slow to load. This
site works best when you know exactly what you wish to find.
Mathematics
Activity Guides
This section of the Energy Conservation Enhancement Project was originally
created for the vocational technical schools in Louisiana. Much of the
material contained within is generic in content and may be applied and
used by many people throughout the world. Topics include The Pluses and
the Minuses, What is Algebra? Algebra: Intergers and Operations, Fractions:
The 4 Basic Mathematical Functions, Ratios & Proportions, Perimeter,
Volume and Thinking Graphically.
Mathematics
Enrichment
The NRICH started out in September 1996 as a research and development
project funded by the University of Cambridge Local Examinations Syndicate.
The project aims to establish a permanent national centre for curriculum
enrichment to provide mathematical learning support for very able children
of all ages. Based at the University of Cambridge School of Education,
the website provides access to a collection of puzzles, games, mathematical
problems, articles and activities.
Mathematics
National Strategy
Number and algebra lessons to support the intervention strategy and the
Year 7 Key Stage 3 strategy for mathematics are now available. The first
set of lessons available including nine Number and Algebra units, six
Shape, Space and Measure and Handling data units, and twelve Consolidation
lessons. Each lesson supports about 40 minutes of direct teaching, and
refers to a selection of pupil activities including some drawn from Springboard
7 to complete the remaining time and to provide homework. Downloadable
files containing all the lessons are available from the Primary National
Strategy website
Mathematics
Newsletter
In conjunction with the subject associations, Becta are now able to offer
a wide range of curriculum focussed newsletters. Each newsletter will
contain news, reviews and suggestions of ways in which you can integrate
ICT into your curriculum area. There will be updates on training events
and conferences that you can take part in around the country and online.
The newsletters can be downloaded below or you can choose to subscribe
to receive the publications direct to your email account.
Mathematics Problem Solving Task
Centre
The PSTC website, based in Victoria, Australia, provides a database of
problem solving activities. The tasks are listed under Lower/Middle Primary,
Upper Primary/Lower Secondary and Upper Secondary. Teachers and students
submit the problems and their email address enables participants to discuss
their solutions, answers, queries, etc. Other features of the site include:
Problem of the Month, Past Problems of the Month, Problem Solving Strategies
and Links to Other Problem Solving Sites.
Mathematical Puzzles
The puzzles presented here are selected for the deceptive simplicity of
their statement, or the elegance of their solution. They range over geometry,
probability, number theory, algebra, calculus, and logic. All require
a certain ingenuity, but only pre-college math. Some puzzles are original.
Explaining how an answer is arrived at is more important than the answer
itself. To this end, hints, answers, and fully worked solutions are provided,
as well as links to relevant mathematical topics. The puzzles are intended
to be fun, with an educational element.
MathMagic
MathMagic has been created by Alan A. Hodson from El Paso, Texas. Hodson
points out that he is trying to "provide strong motivation for students
to use computer technology while increasing problem-solving strategies
and communication skills." A facilitator (teachers, parents, librarians,
etc.) register teams of mathematicians with the MathMagic project. Mathematical
challenges are posted on the website and each registered team is paired
up with another team and engage in a problem-solving dialogue. When an
agreement has been reached, the solution is posted on the website.
Maths A-Level Revision Website
A website providing extensive easy to read revision notes for students
studying advanced level mathematics. The site covers a wide range of topics,
including pure mathematics, statistics and mechanics sections and is frequently
expanded and improved. The pure mathematics section currently includes
algebra topics such as partial fractions, the binomial theorem, logarithms,
sequences and series. In addition, there are a number of pages of trigonometry
notes, which introduce radians as a way of measuring angles and deal with
the important trigonometric formulae. The pure maths section also contains
an extensive section on calculus (differentiation and integration), including
a variety of pages on various integration and differentiation techniques.
The statistics section currently includes details of numerous probability
distributions as well as topics such as confidence intervals and ways
of calculating probabilities. The mechanics section includes notes on
the 'suvat' equations, Newton's Laws of Motion, moments, centre of mass,
friction and restitution.
Maths
File Game Show
A collection of maths games produced by the BBC. All the games need site
needs the Shockwave 7 plug-in. They are organised into four different
areas: Number (Grid Game, Saloon Snap, Builder Ted, Rounding Off), Data
Handling (Fish Tank, Train Race, Data Picking), Shapes and Measures (Bathroom
Tiles, Animal Weigh-In) and Algebra (Planet Hop), Late Delivery and Equation
Match).
Maths Help
This website provides free help and advice with problems in Mathematics
and Statistics at GCSE, A-level, BTEC, GNVQ and foundation degree level.
You send in your question and Maths Help will send an email back with
hints and general advice and a couple of days later your answer will appear
in the Maths Knowledge Bank. Categories include Number and Financial Calculations,
Trigonometry, Geometry & Mensuration, Algebra, Functions and Graphs,
Calculus, Statistics & Probability and Applied Maths & Mechanics.
There is also a Maths Chat Room where you can talk with fellow students
or the Maths Help tutors.
Maths is Fun
This website has been developed by a maths teacher from the South West
of England to encourage an interest in Mathematics. The idea behind the
site is to offer mathematics pages as well as some fun bits. The main
content of the site is aimed at Key Stage 3 and 4 (11-16 years old). The
material is organized under the following headings: Maths Menus (Number
& Algebra, Shape, Space & Measures, Handling Data), Maths Help
(Discussion Forum and Online Form), Puzzles & Quizzes, Calculators
and Computer Programs.
Maths
Help
Convert English to metric units for weight, volume, and more. There is
also a Farenheit to Celsius temperature converter, trigonometric and algebra
calculators, and even a prime number tester.
Maths
Lessons:(1)
Designed by Alan Jackson, a practising Maths teacher to serve the needs
of teachers and students who wish to have fun learning, playing and revising
their mathematics. This popular website includes online lessons, games,
tests and over 300 teacher made worksheets. Students can also sign up
for Puzzle of the Week, a challenge sent to you by email every week.
Maths
Lessons:(2)
Susan Boone teaches at Saint Agnes Academy, Houston. Her website has been
developed as part of a program sponsored by the National Science Foundation.
Boone's lessons involve the students using the Internet to solve mathematical
problems. This includes making calculations to decide the best place to
buy pizzas and the mean and median speed for the Indianapolis 500. Another
activity involves the gathering of data to make predictions about the
future population size of different countries.
Maths Skills Trainer
This website has over a 1000 games to test and improve addition, subtraction,
multiplication and division skills. These timed online tests are selected
at random, and the ability level can be set to suit the individual. Registration
is required to use the site, but sample activities are available.
Maths Teaching
Ideas
Mark Warner's excellent website has been created for the teachers and
parents of primary-age children. The section on Maths includes lessons
entitled Estimation, Puzzle Display, Beat the Teacher, Maths Dictionary,
Detective Trail, High Noon, Maths Table Challenge, Division Problems,
Times Tables Investigations, Rounding Numbers, Guess My Number, Number
Patterns, Coordinates, Weighing Objects and Countdown.
Maths Tutor
This website has been created by Chinmaya Nagaraja for junior school pupils.
There are online interactive activities on angles, rotation, translation,
patterns, reflection, perimeter, area and volume. Titles include: Right
Angles in Shapes, Measuring Angles, Types of Angles, Identifying Angles
in Shapes, Rotating Shapes, Creating Patterns, Reflecting Shapes, Weird
Shapes, Areas of Triangles and Volume of Cubes.
Maths
Web Guide
Created by Education Unlimited, this web guide contains recommended links
to hundreds of websites for teachers, parents and students. The websites
are organized under the following categories: Mathematics, Problem Solving,
Numbers & Money, Measurement & Time, Space & shape, Data management,
Algebra, Trigonometry, Calculus, Games & Puzzles and GCSE revision.
Maths Zone
This site aims to bring collect together and order a range of free resources
discovered on the Internet, which can be used for teaching Maths in Primary
Schools in the UK. Resources from various sites are placed together in
sections to form a compelling bank of interactive games and activities
for teaching Numeracy in Primary Schools. There is also a section for
those teaching students aged 11-16.
MathsNet
As well as being Head of Maths at the Hewett Comprehensive School in Norwich,
Bryan Dye is one of the pioneer developers of educational websites. His
fantastic MathsNet website is a tremendous resource for all teachers and
students of mathematics. Features include: Interactive, Articles, QuizBank,
Magic Grid, MathsNet Art, Puzzles and Maths Links. The website also contains
reviews of software and books for mathematicians.
MathsNet Discussion Forum
This forum offers discussions on teaching, suggestions, ideas, trials
of online teaching materials. Subjects covered include Technical Support,
Problems, General Mathematics, Graphic Calculators, Puzzles, Challenges
and Brainteasers, Software, Cabri Geometry, Omnigraph, MathType, LiveMath,
MathsAlive, Geometer's Sketchpad, FX Draw, Excel, Crocodile Mathematics
and WebEq.
MathsNet Modules
An online ASA2 mathematics course at MathsNet. This course covers most
modules in the current A Level scheme (P1 to P6, S1 to S3 and M1). M2
and M3 are still in development. The course includes over 600 pages of
interactive explanations of concepts using a wide range of resources either
collected from web sites round the world or home-grown. Included are:
interactive displays of graphs, interactive algebra, a glossary of key
terms, exam advice, a discussion forum and a unit devoted to background
knowledge. There are also over 200 interactive A level examination questions
based on recent papers from the various exam boards. Each exam question
has a randomized element within it so that in effect each is a limitless
supply of similar questions on a specific theme. There are also collections
of questions organised into papers complete with online stopwatch.
MathSphere
The MathSphere website has an impressive collection of resources for mathematicians.
This includes mathematics worksheets and test papers. There is also wide
coverage of the national curriculum, the numeracy hour and homework. Topics
include addition, subtraction, multiplication, division, fractions, square
numbers, cubic numbers, data handling and geometry.
Mathszone
is a website of links to interactive resources for teaching the primary
maths curriculum. Links are available in two formats, firstly arranged
by key objective from the numeracy hour, and secondly by topic. Well known
programmes from sites such as Primary Resources and Ambleside are joined
with many of Mark Weddell's own creations to form a bank of hundreds of
online games and activities. The site has become a favourite place for
many teachers and children attempting to find useful activities on the
Internet.
Maya Puzzles
This is a great collection of mathematics and logic related puzzles classified
in six categories. Gives you hours of pleasure and satisfaction in solving
these puzzles and by doing or attempting these puzzles, one will really
enhance his arithmetic and logical powers. It is like having an exercise
to your brain both in mature adults and the children alike to have brain
fitness which will enhance and gives you a fresh start in day to day activities.
Me
and My Math
This slick site offers how to's for solving arithmetic, fraction, and
number line problems. There are no practice problems, and the pages use
either Java or Flash. This web site has not received an update in more
than a year.
Megamaths
This excellent BBC website concentrates on multiplication tables and shapes
for young students. Shape properties, mirror lines and transformations
become hands-on activities. Take a trip around the World of Tables where
practice makes perfect. Find your way round the MegaMaze, play the Grid
Game or have a go at the Table Tournament, in this invaluable website
for testing and reinforcing Times Tables.
Mr.
Calculus
Scroll down through the big print to find solutions from previous AP calculus
examinations, integer sequences, and information about the AP calculus
exam in general. If you get really stumped you can email Mr. Calculus,
but please send him only one problem a day.
National
Numeracy Strategy
This website produced by Teaching and Learning Resources provides a collection
of materials on numeracy. This includes Maths Shapes Crossword, Fractions
Matching Game, 2D Shapes, 3D shapes, and Problem Solving. You can also
download from the website the yearly teaching programmes from the DfES
that illustrate how mathematics can be planned and taught from Reception
to Year 6.
Numberline Lane
Fiona Cartmell is a leading maths teacher and an Advanced Skills Teacher
specializing in KS1 maths education. She has just published new maths
storybooks called Numberline Lane. Each book focuses on a different maths
objective for Early Years and KS1. They come with a page of ideas for
developing learning and mathematical discussion in the mental oral part
of the numeracy lesson, leading to the main teaching introduction. The
website has activities for parents to do at home to back up the books,
and worksheets for use in the classroom.
Numberwork
A series of games produced by the BBC which gives children the chance
to test their mathematical abilities with fun games. When the children
successfully complete all the games they will be able to discover the
secret code which allows Zack needs help to complete his journey from
Acapulco to Chihuahua. There is a Parents section which gives you tips
on how to use the site with your child.
Numeracy
This website has been created by the the Boston branch of the Adult Numeracy
Practitioners Network. It provides adult numeracy activities for individuals
or for teachers and students in adult education classes. Most of the activities
are mathematical in content, not only for improving math skills such as
adding, subtracting, multiplying, or dividing, but also fundamental components
of good mathematical thinking such as reasoning, problem-solving, communicating,
calculation, estimation and observation.
Numeracy Software
This website is for primary school teachers who would like to make better
use of ICT in their mathematics teaching. There are sections containing
Numeracy News and Numeracy Links but the most valuable feature is probably
the Free Downloads. Here you will find free resources to download, including
pre-written spreadsheets, logo procedure files, My World screens, data
files, PowerPoint Presentations etc. These cover all areas of mathematics
and are suitable for a wide range of pupils.
Online Conversions
This website enables you to convert just about anything to anything else.
This includes the following categories: Length/Distance, Temperature,
Speed, Volume (Liquid and Dry), Weight, Metric, Computer, Date/Time, Cooking,
Angles, Area Square, Power Watts, Energy Joules, Density, Force, Pressure,
Astronomical, Numbers, Finance, Clothing, Light, Flow Rate and Acceleration.
Online
Math Tutor -- Fractions
An outline that trouble shoots difficulties that students frequently encounter
when working with fractions, decimals, and percents. There are no practice
problems, but there are numerical examples. This site was last revised
more than a year ago.
Open Directory
This comprehensive directory contains over 10,025 websites on Mathematics:
This includes Algebra (349), Analysis (133), Calculus (71), Chaos and
Fractals (328), Combinatorics (378), Differential Equations (137), Geometry
(448), Logic and Foundations (763), Number Theory (778), Numerical Analysis
(261), Operations Research (213), Probability (114), Topology (188) and
Trigonometry (8).
Optimnem
is dedicated to the promotion and application of the ‘Fluid Thinking’
concept-skills; in learning, in education, in personal and business development.
Fluid Thinking involves our most primary and natural skills - from sensitive
observation and imagination, to pattern recognition and connection building.
The website includes a games section where you can play Connect 4, Hex
7, Triplets and Tactix.
Percent
and Probability
A basic and fairly thorough explanation of percents, fractions, decimals
and probability. Covers estimation and interest too. Definitions come
complete with worked problems with numbers rather than variables. Useful
for beginning students.
Plane
Graphic Calculator
"The Plane Graphic Calculator is a software tool that interactively displays
a graphical view of mathematical functions." The interactive graphing
software will handle most functions, including vectors. Keep the numbers
low or scale up the graph proportionally. This site has not been updated
in more than a year.
Probabilistic Learning Activities Network
Have you ever wondered how to enhance your teaching of probability? David
Harris tries to answer this question with this site. The material is based
on interactive probability experiments in the form of applets and spreadsheets.
The Question, Hypothesis, Experiment methodology is designed to introduce
students to the fascinating world of random behaviour. Students are asked
to provide an initial response to a probability experiment, collect data
from the experiment and finally use mathematics to determine the probability
measure of the experiment. Many of the experiments are counter-intuitive
and are designed to foster discussion and interest in the mathematics
classroom. The site is written primarily for students of the International
Baccalaureate but can be used throughout any high school programme.
Purplemath:
Your Algebra Resource
Look under "How do you REALLY do this stuff?" for readable lessons. There
are also tips on improving math study skills and links to other algebra
resources. Note: a few of the links to outside sites do not work.
Puzzles
and Fibonacci Numbers
An excellent website produced by the School of Electronic Engineering,
IT and Mathematics at the University of Surrey. One of the features of
the website is a series of puzzles involving Fibonacci Numbers. Subjects
include brick wall patterns, bee lines, seating plans and jigsaws. There
are also sections on Fibonacci Numbers and Nature, The Golden Section
in Art, Fantastic Flat Phi Facts, Architecture and Music, Fibonacci Forgeries
and Who was Fibonacci?
Quantum Brain Benders
This website provides a series of highly entertaining math-based puzzles.
Each puzzle consists of three rows of numbers. The skill level - easy,
difficult or braniac - determines how many numbers are in each row. The
task of the student is to find a string of numbers that add up to the
"finish" number provided in the puzzle.
Shack's
Math Problems
This unpretentious little page lists over a hundred brutal brain teasers.
Some of these stumpers require higher math. All require a lot of work,
despite the reassuring words in the site's introduction. This site was
last revised more than a year ago.
SchoolsNet Maths
A collection of GCSE Maths lessons. This includes Algebraic fractions:
"Changing the subject of a formula", "Expanding single and double brackets",
"Harder percentages", "Linear equations containing algebraic fractions",
"Linear equations containing brackets", "Quadratics 1: introduction and
factorising", "Quadratics 2: completing the square and other methods",
"Rational and irrational numbers", "Significant figures", "Simple factorising",
"Simultaneous equations" and "Solving equations using trial and improvement".
Smile Mathematics
The interactive section of the Smile Mathematics website is an on-going
development area. You will require the Flash 5 browser plug-in to access
some of these activities and a java enabled browser. Activities include:
Mental Mathematics, Playing Cards, Investigations, Fraction Flags, Symmetry
Match, Pythagoras, Magic Squares, Wiggly Tessellations, Rotational Symmetry
and Similar Triangles.
S.O.S.
Math
Practice problems in algebra, trigonometry, and calculus. Problems are
noninteractive and some areas are much stronger than others. The algebra
section includes such topics as logarithms and complex numbers, but there
are no word problems.
Solving
Story Problems
An article that explains the whys and hows of solving word problems in
any branch of mathematics. The article offers useful tips, but there are
no actual word problems for practice.
Summer School Math
is a web site for elementary children to practice math facts during Summer
recess. A wonderful on-line tool allowing your child to spend a few minutes
each morning during the months of Summer reviewing math facts or preparing
for the new year.
Teach Kids Math
introduces math topics in a variety of creative and challenging ways so
as to achieve mastery of the fundamentals. This American website has a
large assortment of interactive lessons that demonstrate basic mathematical
concepts. The material ranges from basic counting for preschoolers to
more advanced topics for secondary school students. Online worksheets
help children practice multiplication, division, rounding, fractions and
number sequences. It is claimed that the website "has been designed by
children and adults".
TeachNet
Math
A collection of lesson plans provided by American teachers. Titles include:
In Your Face Math Facts, Fishing for Facts, Tricks for Your Digits, Remembering
Units, Fraction City, Apple Estimation, Twelve Days of Christmas , Your
Clock is a Teaching Assistant, Keeping Math Problems Straight, Newspaper
Activity, Card Facts, Capacity Song and the 10 Commandments of Math.
The
Mathematics Library
A meta site with links to other math sites arranged by topic. Topics range
from arithmetic, to high school math, to higher math, and to math education.
Within each topic, are subtopics in an extensive table of contents. The
site also has a search engine.
ThinkQuest
The ThinkQuest library contains unique educational web sites that have
been created through ThinkQuest competitions and programs. The library
currently contains more than 5,000 web sites to search and surf. The Mathematics
section include sections on: Geometry, Chaos Theory, Fractals, Calculus,
Algebra, Trigonometry, Arithmetic, Puzzles, Cryptography, Statistics,
History, Probability, Real Life Uses, Olympiads and Pre-Calculus.
Time to Teach
is a site designed for teachers, parents and home-schoolers. It contains
over 100 free, interactive and fun complete primary maths lessons. Eighty
of these lessons closely follow the lesson plans issued from the British
department of education and aimed at helping to teach children aged between
5 and 12. The lessons are sorted into year groups, and subdivided into
which term to teach a particular lesson. This unique site only specializes
in providing PowerPoint lessons for primary maths. The webmaster on the
site is happy to consider primary maths PowerPoint lessons written by
other teachers for inclusion on the site. If you send 10 or more complete
lessons which are used, you get a free CD to say thank-you.
Waldo's Maths Pages
is a secondary level maths site, which uses Java (tm) applets to demonstrate
different mathematical topics. It is aimed at Key Stage 3 (11 to 14),
GCSE (14 to 16), but mostly AS/A2 Maths and Further Maths (16 plus). Its
content is 100% original and the creation of a maths teacher (and self-taught
programmer) in Kent. The programs are used by him and others as classroom
aids, and as investigative resources for pupils individually. New material
and improvements are being added all the time, and suggestions from teachers
and pupils for future inclusion are always welcome.
WebMath:
Instant Solutions to Your Math Problems
A powerful fast-loading multi-purpose math calculator that will handle
just about anything from figuring a tip to trigonometry. There is even
a question and answer section that features problems solved step-by-step
for practice.
Word
Problems for Kids
This Web Site contains word problems for students and teachers. The problems
are classified into grade levels from Grade 5 to Grade 12. THIS IS NOT
A TEST, but a set of carefully selected problems which can help you improve
your problem solving skills." Problems come complete with hints in case
students get "stuck."
World
Web Math -- Calculus Summary
Explains the major concepts and definitions of calculus using both words
and mathematical symbols. This web site, though graceful, is designed
for those who do not fear the language of mathematics. This site
was last updated more than a year ago.
OTHER
RELATED RESOURCES
Statistics
A
Guide to the Web for Statisticians
A meta site for statistical links, including books, journals, and data
sets. Designed for the person with some knowledge of statistics and who
also knows exactly what he/she wants.
Dr.
Arsham's Statistics Site
"This Web site is a course in statistics appreciation; i.e., acquiring
a feeling for the statistical way of thinking. It is an introductory course
in statistics that is designed to provide you with the basic concepts
and methods of statistical analysis." Actually the topics in this web
text get fairly advanced and include: regression modelling, chi-square,
correct sampling procedure, and hypothesis testing, among many others.
The text is mainly in words wtih few diagrams or equations and no calculus.
The
Statistics Home Page
A framed full text, statistics textbook that nearly every interested person
who has had algebra can use. Choose from the table of contents at the
right. Topics range from "Elementary Concepts" to splines. There is also
a search engine in the center frame.
StatLib
"A system for distributing statistical software, datasets, and information
by electronic mail, FTP and WWW." Software and datasets are arranged in
a table. This site is for the statistically sophisticated, though it also
provides a glossary that explains the offerings. Please do not download
the software to the hard drive of any public machine. Software files arrive
compressed. This site has had a face lift, though there may still be some
broken links.
Social
Science view of math
The
Abacus
A well organized site featuring just about anything the interested reader
might want to know about this ancient and still used counting device.
There is an Introduction to the abacus, abacus history, abacaus articles,
links, and even a java abacus applet.
Calculating
Machines
"The history of mathematics goes a long way back with devices and methods
of calculation. Starting with the ancient Abacus, the slide rule and the
logarithms, the mechanical calculating machines, the electromechanical
calculators and finally the electronic computer. This site deals mainly
with the mechanical calculating machines." This page has not received
an update in more than a year.
A
Modern History of Blacks in Mathematics
Small but detailed biographies of and links to pages about famous Afro-American
mathematicians. This still unattractive site is again being maintained
and updated.
Slide
Rules
Slide rules are the non-electronic ancestor of today's calculators. They
used a slide bar and multiple scales based on logarithms to enable one
to multiply, divide, do square roots, and trigonometric functions. This
page explains slide rules' history and how they worked. It also describes
the main types of slide rules and has links to photos of them. Some knowledge
of high school mathematics is required.
Virtual
Reality Polyhedra
Learn about polyhedra by reading the text and playing with the shapes.
"Polyhedra have an enormous aesthetic appeal and the subject is fun and
easy to learn on one's own. One can appreciate the beauty of this image....
but the more you know about polyhedra, the more beauty you will see. "
VRML and Java are required for some of the demonstrations. This site has
not been revised in more than a year.