Amby's Education Site:
Math Resources
Basic Facts
Problem Solving
Higher Level Math
Test Prep
Math Puzzles & Learning Activities

Basic Facts

24 Game
Using the basic arithmetic operations, how quickly can YOU reach a total of 24 using the numbers on the four cards once each? This well designed java applet keeps a running score (requires a java-capable browser). Challenging and FUN!! If you get stuck, clicking on the "stop" button will display the correct solution.
The applet takes a moment to load... be patient; it's worth it!!   [You can click "Cancel" on Chinese font download; this will not impact the game.]
Yijun Ding

Math Test
Add, Subtract, Multiply, or Divide using this Java applet. Press "New Equation" to begin and press the button with the actual answer to the problem.   [Source Code is provided.]

Visual Math Applets
These applets may be used online or downloaded for non-commercial use and provide a visual understanding of math concepts; includes:
Edward Kluk, Michael Frank, Mats Mangru / Dickinson State University

Much of math instruction today focuses on exploring, discovering, collecting data, and working out real life problems. However there is still a place for number facts and being able to calculate "on the fly" can be advantageous. Automaths doesn't teach you how to get to an answer, but it does provide valuable practice for these automatic response skills. Choose from three levels:
  • Junior: Challenges your addition and subtraction skills
  • Middle: Will give you problems using addition, subtraction and multiplication.
  • Senior: Challenges your skills using all of the above and division too.
Education by Design

Mad Math Minutes
Can you do this page in ONE minute? This program provides lots of practice with addition, subtraction, multiplication and division problems and marks your work. You may specify highest number and whether to allow negative numbers or remainders (you'll need Explorer 3.0-Win95 or Netscape 4.0). Be patient -- it will take a minute to load...
Harry M. Bogucki / The Kids Educational Activity Center

Flashcards (not just) for Kids!
Select any operation and specify the complexity of the problems generated; select up to ten numbers with or without negative quantities; the game will keep score for you and an optional timer is available. Also available:
The Education 4 Kids site has a variety of other resources available online, including practice with time and measurement as well as a number of activities in Language, Social Studies, Science, etc.
Education 4 Kids

Magic Squares
Practice your addition skills while you use logic and deductive reasoning to fill in the missing numbers. These easy-to-use Magic Squares provide immediate feedback and are arranged in order of difficulty.
Plumeus Inc.

Basic Facts
Problem Solving
Higher Level Math
Test Prep


Amby's Order of Operations Tutorial
This online programmed instruction tutorial provides step-by-step assistance in mastering the basic order of operations. Provides targetted remediation and instruction as well as practice exercises and self-tests.
Amby Duncan-Carr

Basic Math Lessons
Sample these free interactive lessons from the online Math Courses; topics include:
Nancy Parham, Cal Poly San Luis Obispo State University

Nmmber Theory
These interactive lessons are one section of Mrs. Glosser's Math Goodies and provide a comprehensive overview of factors, multiples, primes, divisibilty, etc.
Gisele Glosser

Amby's Math Instruction, Reinforcement, and Learning Activities
Includes the basics of number theory (including prime numbers and divisibilty); learn how to work with fractions step-by-step and explore problem solving, percents, integers, geometry, and more.
Amby Duncan-Carr

This exercise is designed for people understand how to add fractions with different denominators. You will use rational numbers to complete equations such as: 5/6 = x/2 + y/3 Select a level of difficulty; the software provides immediate feedback.

Fractions for Adults
Have you forgotten what you once knew about fractions? Use the S.O.S. Math Review to recapture those skills; read the explanations and examples on a particular topic; review additional problems; solve practice problems and obtain immediate feedback. Includes:
Other topics are also available (including Algebra; Trigonometry; Complex Variables), as well as practice exams.
Department of Mathematical Sciences at The University of Texas at El Paso

Understanding Percent
These interactive lessons are one section of Mrs. Glosser's Math Goodies and provide a comprehensive overview with an emphasis on problem-solving.
Gisele Glosser

Using the Proportion Method to Solve Percent Problems
Having problems with percents? Not sure whether to multiply or which numbers to divide? Here's ONE method that'll work for all those pesky problems!! Includes examples and practice exercises.
Amby Duncan-Carr

Pattern Blocks: Exploring Fractions with Shapes
Read the Description and Instructions then play online with the interactive pattern blocks using the Patterns Program. Links to No Matter What Shape Your Fractions are In, which provides materials for reinforcing fraction concepts and operations are provided. Other Educational Java Programs are also available.
Jacobo Bulaevsky

Mathematics Worksheets
Each section features all new weekly worksheets, provided free for teachers and parent-teachers to copy for their kids. Especially suitable for upper elementary and middle school skill levels, as well as enrichment and remediation. Includes both Computation and Problem Solving.
RHL School

Basic Facts
Problem Solving
Higher Level Math
Test Prep

Problem Solving

New Problem Solving Tactics
A variety of ways to approach problems; lists an activity and outcome for each suggested tactic.   Also, check the handout on taking Problem-Solving Tests for more suggestions.
UT Austin Learning Skills Center

SureMath® Problem Solving Practice
Concept-based problem solving practice is provided with this extensive sequence of algebra problems. The answers can be obtained by a variety of effective problem-solving methods such as looking for patterns, guess and check, creating tables, using manipulatives, acting out the situation, etc. An interactive step-by-step solution to each problem is provided using SureMath®.
Howard C. McAllister

Ms. Lindquist: The Tutor
This free, online, Intelligent Tutoring System is designed to assist students in learning to write algebraic expressions and solve word problems. Program can also be downloaded.
Neil Heffernan; Carnegie Mellon University

Word Problems for Kids
These word problems, for students and teachers, are classified by grade level (5 to 12), but ALL could be challenging to adult learners as well. Each question has been carefully selected to help improve problem solving skills; helpful hints (and answers) are provided.
St. Francis Xavier University

Amby's Math Activities
Explore real-world problem solving; includes What's for Lunch? Pizza Cost Comparison activity.
Amby Duncan-Carr

The Glossary of Mathematical Mistakes
Math mistakes are frequently made by advertisers, the media, reporters, politicians, activists, etc.; you've probably seen some of these before (or fallen in these traps yourself). Spot the fallacies in the Problems and Puzzles section (arithmetic, algebra, geometry, etc.) and, if you're thinking of playing the lottery, check out The Raw Data (find out the odds, BEFORE you shell out the bucks!!).
Paul Cox

A wide variety of statistics resources and information, including sites providing statistical data. Check out the Statistics Related Puzzles, too.

ABsurd MAth Odyssey
Pit your problem solving skills against this diabolical interactive Pre-Algebra game -- solve puzzles and use your logical thinking skills -- see how well YOU can do... but BEWARE... this is not for the casual or faint of heart!! You are strongly urged to read carefully AND take notes -- You have been warned!!
Human Relations Media (HRM)

United We Solve
This page includes a sample from this collection of cooperative math problems -- problems for groups to solve together.
Tim Erickson

Lemonade Stand
See how much money you can make. Decide how much lemonade to make, the selling price, whether to advertise, etc. based on the daily weather forecast and current product cost. You might make it to the list of High Scores.
Jason Mayans

ML Math: Problem of the Week
See if you can solve the problem of the week; explore the archive; try the weekly Brain Teasers (with an archive of past puzzlers!!). Hints and suggestions are included.
McDougal Littell

The Mathman
These materials include the non-trivial use of calulators and computers, infinite series and infinite sequences, as well as science-to-math activities for grades K-12 (adult assistance recommended at the primary level). The intended audience includes students, adults, teachers, teachers of teachers, and parents! This site also provides sample problems from each chapter of Calculus By and For Young People:
  • Discover Patterns
  • Visualize Mathematics
  • Learn to Learn
Don Cohen-The Mathman

Mathematics Archives
This award winning site provides an astounding variety of math resources and information: Software, Abstracts, Reviews; Teaching Materials, etc. Includes a "What's New" section and an on-site search to make locating materials less daunting!!
University of Tennessee, Knoxville   Table of Contents in table format

The Math Forum
Internet Resource Collection

National Council of Teachers of Mathematics
  NCTM conducts research and provides resources for students, teachers, and teacher educators.
°   The Mathematics Teacher [grade 8 - college]  
°   Mathematics Teaching in the Middle School    
°   Teaching Children Mathematics [pre-K - 6]  
  National Council of Teachers of Mathematics

Appetizers and Lessons for Mathematics and Reason
Math for the Literate: Topics in arithmetic, algebra, and calculus.
Alan Selby, , Educational Writer

Mathematics Lessons
Explore a wide variety of topics, including No Matter What Shape Your Fractions are In and play online with the interactive Pattern Blocks program developed by Jacobo Bulaevsky. Then check out the activities in the Geometry Online section and see if you can determine why these Impossible Triangles ARE impossible... (instant feedback is provided).
Cynthia Lanius

A superb collection of links to sites with useful math materials. SumFun categorizes and provides descriptions to help you locate exactly the right resources quickly and easily.
Cam and Barb Miller

AIMS Education Foundation
    Along with info about their products and magazine, the site offers:
  • Puzzle Corner
  • Activity Archive & Searchable Database
  • Pattern-Based Curriculum
AIMS Education Foundation

Real World Mathematics
Nicely annotated links to math resources demonstrating that there is a place for mathematics in the real world.
Jim Shaver

Basic Facts
Problem Solving
Higher Level Math
Test Prep


These interactive lessons provide an excellent step-by-step introduction to signed numbers; includes: Absolute Value; Comparing and Ordering Integers; Basic Operations (add, subtract, multiply, divide); Integers and the Real World, etc.; you can also download lessons.
Gisele Glosser

Integers: Operations with Signed Numbers
This clearly explains how to add, subtract, multiply and divide positive and negative numbers. Samples are included; a separate page of practice exercises (with instant feedback) is also available.
Amby Duncan-Carr

Interactive Algebra
An outstanding interactive tool to practice algebra skills. This java applet randomly generates problems of the type chosen; instructions are provided and hints are available. Topics include:
  • Equations
  • Factoring
  • Graphing
Robert Bunge

Interactive Math Lessons
Mrs. Glosser's Math Goodies is an award-winning educational web site featuring a problem-solving approach to actively engage students in the learning process. In addition to the lessons, other online resources include:
  • Math Chat Boards
  • Math Applications and Puzzles
  • A Math Image Library
  • Educational Links
  • Homework Suggestions
Gisele Glosser

Math Lessons - Working with Signed Numbers
Sample these free interactive lessons from the online Math Courses; topics include:
Additional topics also available:
Nancy Parham, Cal Poly San Luis Obispo State University

Order of Algebraic Operations
Evaluate algebraic expressions by using this Dynamic HTML program (requires 4.0 browser). The program will show you the correct order of operations to be used for any expression you enter.
J. David Eisenberg

Ms. Lindquist: The Tutor
This free, online, Intelligent Tutoring System is designed to assist students in learning to write algebraic expressions and solve word problems. Program can also be downloaded.
Neil Heffernan; Carnegie Mellon University

Intermediate Algebra - CyberExam
Take this CyberExam from S.O.S. Mathematics and get immediate feedback (additional topics in advanced math are also available).
Department of Mathematical Sciences at The University of Texas at El Paso

PlaneMath Activities
Explore a wide variety of PlaneMath Activities to develop reasoning and problem solving skills; site includes accessibilty options, parent/teacher resources, and additional links.
InfoUse, in cooperation with NASA

Projects and Investigations in Math
"Mathematics is more than something that you learn, mathematics is something that you do." At this site you'll find a great many puzzles , activities and games. If you already enjoy math as a recreation you may find some new ideas to explore; if you (used to) "hate math", be prepared to change your mind!
Nancy Casey

Rock Paper Scissors Spock Lizard
You know the old standard Rock Paper Scissors game... here's the follow-up!! Use both versions to explore combinatorial mathematics (or just to have fun...).
Sam Kass

Basic Facts
Problem Solving
Higher Level Math
Test Prep


Formula QuickGuide
Provides a list of all the formulas (with examples) on the mathematics section of the GED tests. A useful reference, whether you're preparing for a math exam, helping a family member, or just looking for a quick brush up.
Consortium for Information Technology in Education / New Brunswick Community College (Saint John)

Connected Geometry
NSF-sponsored project providing interactive, interdisciplinary, Web-based curricula to support the implementation of Mathematics Across the Curriculum. Includes sketches available for download from the Geometer's Sketchpad, as well as interactive Java animations of some of the sketches.
Education Development Center, Inc.

Gallery of Interactive Geometry
Nifty things to "mess with"; mathematical background info included.
The Geometry Center

Prove the Pythagorean Theorem
This interactive Java applet allows you to prove that a2 + b2 = c2 by dragging and dropping puzzle pieces. This is just one of many math applets in the Manipula Math with JAVA section which provides interactive programs to manipulate so you'll more easily grasp the concepts.
KOBAYASHI Ichiro; SATO Katsuhiko; TSUYUKI Shigeru; FUKUSHIMA Kazuhiro

The Triangle Figure
An introduction to Hyperbolic Geometry is also available, as well as a variety of other math goodies on Robert's Neat Math page which includes a JavaScript to calculate Pythagorean Triples.
Robert Simms

Geometry Junkyard
These are the goodies that didn't fit into the other categories:
David Eppstein

School Geometry in Java
This Java applet simulates constructions with compass and a ruler reminiscent of those in school geometry. The computerized version, however, allows dynamic changes in the construction by dragging the points around; the computer can also draw tracks of points during this procedure. (Source code available as well as on-line help.)
Dr. Rene Grothmann   Katholische Universität Eichstätt

Basic Facts
Problem Solving
Higher Level Math
Test Prep

Higher Level Math

S.O.S. Mathematics - CyberExam
Take a practice test in any of these topic areas and get immediate feedback:
  • Intermediate Algebra
  • Mathematics for Social Sciences
  • Pre-Calculus
  • Calculus
  • Differential Equations
Department of Mathematical Sciences at The University of Texas at El Paso

Math Exercises
Figure out the answer to a math problem, submit your name and country, earn (almost) instant recognition!! Challenging exercises are available in a variety of topic areas, including:
  • Algebra
  • Trigonometry
  • Geometry
  • Calculus
Also, try the challenging Math Test and learn about the computer math exercise software WonderMath© (you can request a free demo)!!

Discovering Trigonometry
Use this interactive tutorial to find out how the sides and angles of a triangle are related to each other. As long as you know the basics of triangles and measuring angles (that a right angle = 90o and terminology such as base, height, and hypotenuse), you'll be able to understand (and enjoy) this interesting instructional program.
J. David Eisenberg

Properties of Logarithms
This chapter from The pH - Acid/Base Tutorial defines the basic rules of arithmetic using logs and gives instructions on how to find the log of any whole number without a calculator.
Allen R. Zeiger, Ph.D.; Thomas Jefferson University

Evaluating Limits
Basic guidelines to follow when evaluating the limits of a function; includes info about horizontal asymptotes.
The University of Texas at Austin

Statistics Section
Want statistics resources (including online analysis, software, texts, etc.)? Explore the collection of materials here.
Amby Duncan-Carr

Basic Facts
Problem Solving
Higher Level Math
Test Prep


The Numeracy Homepage
Includes activities and math resources for families, teachers and adult learners.
Boston branch of the Adult Numeracy Practitioners Network

Helping Your Child Learn Math: Parent Involvement Materials
Rationale and suggested activities you can provide to parents to help them stimulate an interest in math. Primarily for ages 5-13 years. Text, graphics

Check out this excellent, self-paced, interactive math tutoring program for K-8. Investigate the curriculum and view the samples; you and your child can try out the first five lessons at no cost when you sign up.

Math and Sciences Study Skills & Overcoming Test Anxiety Homepage
Learn efficient, effective learning strategies for studying physics, chemistry, biology or mathematics as well as ways to effectively deal with TEST ANXIETY; topics include:
Cindy Arem, Ph.D., Math & Sciences Counselor, Pima Community College West Campus

Statistics and Math Anxiety
This section of the How to Write Tests site explains statistics to those who have minimal understanding of the topic (or classroom teachers who avoid math).
Robert Runté, Faculty of Education, University of Lethbridge

MATH: Test Preparation and Practice Problems
Test your skills against the national standards!! Here are a dozen sample math problems for each grade level (1-8) developed by the math specialists at Scott Foresman-Addison Wesley.
FamilyEducation Network

Mathematics Standards of Learning
These Standards are designed to be high, clear, grade level-specific, content and performance-specific, consistent with the Standards of Learning of high achieving countries, and focused on academics rather than "attitudes."
Mathematically Correct

Reforming Mathematics Instruction for ESL Students
Intended to help educators design and modify the math curriculum to deliver instruction effectively to ESL students. Suggestions for staff development, ways to encourage collaboration between math and ESL/bilingual personnel, as well as sample lessons for middle and high school math literacy classes, are included.
Keith Buchanan; Mary Helman

Conquer Math Online
Site includes information about the tutorial Study Guides along with examples of both the questions AND the excellent explanations. These tutorials (useful for 3rd grade through adult ABE/GED levels) are designed to help develop both useful problem solving strategies and a familiarity with the exam objectives. Try the Sample Diagnostic Tests; you can even have the results emailed (see the form at the very bottom of the results page). Use the Account Name: test user and Password: password.
Michael E. Hasty; President & Publisher of TEST MASTERS

Basic Facts
Problem Solving
Higher Level Math
Test Prep

Test Prep

Math Anxiety is covered in the section on Numeracy.

GED Math Test
Try out this interactive math test (courtesy of Steck-Vaughn).
Question Mark Computing Ltd.

Math Tests and Quizzes
Prepare for math tests by taking these assessments. Determine your areas of weakness, then practice those specific skills.
Amby Duncan-Carr

Basic Math Skills Review
Try this Math-On-Line skill review test. Additional Math Tests are available in these subject/skill areas:
  • Algebra I
  • Algebra A/B
  • Algebra C/D
  • Practical Geometry
Dick Laguens

Math Practice Questions
High Performance Computing and Communication provides this set of Math Practice Questions. These are designed to measure the skills required at the secondary school level and are labeled as 9th Grade Math Practice Questions although the skill practice is certainly not limited to that grade level.
NASA Lewis Research Center

TEST of Math Word Problems
Take this free test of practical, 'real-world' math problems developed by Harold ('Hal') Schneider, author of Math Word Problems, a self-help, math tutor guaranteed to make math understandable... even fun!
Hal Schneider

SAT Math Preparation
Try the realistic diagnostic test; several FREE Tutorials are also available (the one on Prime Numbers includes an interactive applet illustrating Eratosthenes' Sieve).
SATmath / Cubic Science

Japanese Math Challenge
These logic-based story problems are translated from the math placement test given to Junior High students in Japan; they provide excellent problem solving practice and illustrate the range of problem-solving skills required to successfully compete in today's global market. Problems include hints, explanations and sound files.
Pacific Software Publishing

SAT-Type Quiz
Improve your test scores by becoming familiar with the types of questions most frequently asked. Try answering these ten challenging questions. You will receive instant feedback on each.
Cynthia Lanius

Edutest Free Practice Tests
These online assessment tests are modeled on state standards of learning. These free test samples include both grade-specific tests and skill drills. The Grade 8 tests are quite challenging and a good way to prepare for the GED, GRE, Civil Service or pre-employment tests. The instructions are clear; the feedback is excellent and pinpoints skills requiring additional attention.
Edutest, Inc.


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Last Updated: 25 March '02 14:45 GMT
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