DESIGNING COURSES:
Math Creation Tools for Web Courses

Updated April 30, 2008
   
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I'm not a math person, nor have I created any math for online use. But these are references recommended by those I know who have done so.

Also visit my QUIZ & TEST CREATION TOOLS PAGE if you're looking for test-making software.

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Miscellaneous Math Resources

Free Printable Graph paper: At this site you can print out just about any kind of graph paper you can imagine. They have many other types of printable paper too. 04/30/08

FreeMathHelp.com: "We have many math help resources available, including math lessons, math games, and a math help message board." Featured Tools: worksheet generator: "You can create addition, subtraction, multiplication, division, algebra, or even geometry worksheets online, and even generate PDF's to print!" And their Flash Equation Graphing Tool. "The program can graph more than one equation, print an image, and allows you to move around the graph easily". 10/21/07

YouTube Math Videos:

  • Etraffic Solutions, Victoria, BC, Canada has developed some good animations for different math concepts and made them available via YouTube: Etraffic's 9 videos
  • Etraffic's site for "Pilot Math"
  • Several pages of other YouTube algebra videos (linking you to the search results -- try your own searches)
Vedic Mathematics: What you find when you're browsing! I'm no math person, but I love the 'puzzle' nature of math -- when I can figure things out it's rewarding, and the actual figuring is puzzle-like. So This Vedic Math stuff is fascinating. Here's an example that drew me in -- the 11 times table:

11 X 17 (this will work for any two-digit numbers multiplied by 11)
Add the 1 and the 7 together, giving 8
Put this 8 in between the 1 and 7
Giving the answer to the sum 11 X 17 as 187!

11 X 253
Layout the sum like so:
2 / 2 + 5 / 5+ 3 / 3
2,7,8,3
Giving the answer 2783

My favorite online school, LVS Online, is teaching a class about this: http://www.lvsassociates.com/register/product_info.php?products_id=19

Visual Calculator: "A Simple, Clean Calculator for Homework & Everyday Math. It features an interactive calculation history which may be used to build large expressions in small chunks." Even though it looks extremely simplistic when you first arrive, if you take a quick look at the Help screen you'll see how the calculator allows advanced users to type in their expressions. It is able to do exponents, square roots, trig functions, etc. 03/23/07

PUMAS ~ Practical Uses of Math & Science: Ralph Kahn, author, describes the site as "...a collection of one-page examples of how math and science topics taught in K-12 classes can be used in interesting settings, including everyday life. The examples are written primarily by scientists and engineers, and are available to teachers, students, and other interested parties via the PUMAS Web Site. Our goal is to capture, for the benefit of pre-college education, the flavor of the vast experience that working scientists have with interesting and practical uses of math and science." 11/26/06

Math.com: Recommended by a colleague who teaches math. Site has Math help at all levels: practice, tutoring, tools, games, and homework help. 10/24/06

SOS Math.com: "...free resource for math review material from Algebra to Differential Equations." 10/24/06

A-Plus Math.com: "...web site was developed to help students improve their math skills interactively." Headings include: Flashcards, Game Room, Homework Helper, Worksheets. 10/24/06

PurpleMath.com: Lots of help for students and resources for teachers. Lessons, homework guidelines, study skills, and links to reviewed internet sites. 10/24/06

Tools for Mathematics Education: The newsletter wwwTools For Teachers has a whole issue (july 30/06) devoted to this topic. Subheadings include Roles for ICTs in Math Ed; Motivational Maths; Concerning Hardware; Some Useful Software; Lessons & Activities; For Students; Collections of Resources (huge list of links); Toolbox; Professional Reading; Books. You math teachers will be on this page a while! 07/31/06

Math Cartoons: Spice up your Math course homepage with a little math humor. :)  12/04/05

Math Words: Explore the ORIGINS of math words and terms. 12/04/05

Graph Paper: Specify the type of paper, size of grid, measuring units, and the generate and print your graph paper. "Save yourself money and a trip to the store! Print graph paper free from your computer. This site is perfect for science and math homework, craft projects and other graph paper needs. All graph paper files are optimized PDF documents requiring Adobe Reader for viewing." 12/04/05

Configurable Applets & other Java components for Math: Thirteen (so far) configurable JCM applets. No restrictions on using them. The author provides configuration instructions. "The configurable applets cover a range of mostly calculus and pre-calculus topics including: graphs of functions, families of functions, composition of functions, tangent lines, parametric curves, and Riemann sums." 04/26/05

[K-12} Virtual Manipulatives for Interactive Mathematics: From Utah State U, "A library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-12 emphasis)... Manipulatives [are] physical objects that help students visualize relationships and applications... A national library from which teachers may freely draw to enrich their mathematics classrooms. The materials will also be of importance for the mathematical training of both in-service and pre-service elementary teachers." 04/03/05

National Council of Teachers of Mathematics (NCTM): "...a public voice of mathematics education, providing vision, leadership, and professional development to support teachers in ensuring mathematics learning of the highest quality for all students. Founded in 1920, NCTM is the world's largest mathematics education organization, with nearly 100,000 members and 250 Affiliates throughout the United States and Canada." 04/03/05

Math Resources Links: at wwwtools for education. You'll need to enter your email address to see the article. It's full of excellent suggestions for resource sites. 03/07/05

The Math Guide at High School Hub: Rich resource of math links for secondary level courses. 01/18/05

Math at Erikson: The site has a growing variety of resources for teachers (K-12) and students, including many interactive math games, puzzles, vocabulary tools, interactive tutorials, and more. "This area of our website has been developed to support our goal of increasing academic success rates in the area of numeracy so that all* students meet or exceed expectations in this area." 10/28/04

Math helpers: 10/03/04

The Maths Internet Guide: Categorized lists of "Over 100 top websites carefully chosen for their interactivity and grouped into five search categories Ideal for individual learning, homework, classroom discussion or students' project." 09/11/04

Geometry Step By Step from the Land of the Incas: "It provides an eclectic mix of sound, science, and Incan history intended to interest students in Euclidean geometry. The site includes geometry problems, proofs, quizzes, puzzles, quotations, scientific speculation, and more." 04/16/04

Useful Math Tools: For example, there's a page for finding the English Name of a Number. There's a whole page devoted to various things about Prime Numbers. More, so go have a look around. 01/10/04

The Regex Coach: a graphical application for Linux and Windows for interactively experimenting with [Perl-compatible] regular expressions. 06/22/03

Interactive mathematics on the internet: interactive exercices, graphical mathematics games, online math tools, etc. 12/27/02

Virtual Manipulatives for Interactive Mathematics: Lots of online math activities here for all levels of K-12. From Utah State University. 11/12/02

Are the digits of pi random? 08/28/02

Mixed Up Math: "A free educational math game and logic puzzle for all ages."08/29/02

Interactivity for Web based Education: Can't really classify this site, but it's full of resources for math, physics and more. Includes: Sail Calculator | testConst | testMakPro | testMakPro2 | testAssist | MulMakPro | Author_Author | Script Editor | hTmLiT | Free testMakers | Definition Engine | Puzzle A Week | Free Calculators | Other Free Stuff. 07/25/02

Calculator.com: Calculators online, all varieties! Fractions, Scientific, Currency, Units, Time, etc. Send your students there and have them bookmark it. 06/04/02

Useful math Freeware: This page contains links to several applications for both Windows and Mac, including a Geometry Calculator, a Fraction Calculator, and something called Teacher Tool for Windows. 05/04/02

Math World: "The web's most extensive mathematics resource." 01/16/02

Viewing Math Equations on the Web: The Edutech group suggests solutions for both creation and viewing of math equations. 12/12/01

Graphmatica: "A shareware equation plotter with numerical and calculus features. Graph Cartesian functions, relations, and inequalities, plus polar, parametric, and ordinary differential equations. Up to 25 graphs on screen at once. Offers copy to clipboard (bitmap and WMF), Button Bar, on-line help and demo files. In summary, a great tool for students and teachers of anything from high-school algebra through college calculus." 11/18/01

Math Online HTML Formula Tool: Available online or as download, this page offers "a tool which makes the generation of HTML code for maths formulae a fairly easy matter - provided you have some elementary knowledge of HTML, and provided the symbols needed are among the fonts a web browser may access." 09/09/01

LiveMath (previously named MathView). Create interactive math web pages. All users need is a relatively small plug-in. 30-day trial version available, as well as the free plug-in. One user says: "Phenomenal program. $99 will be some of the best money you will spend." 07/22/01

TI Interactive: Can be used to create web pages and much more. A "user-friendly, interactive computer software for teachers and students...enables teachers and students to easily investigate ideas in mathematics and science. Teachers can enhance students' learning through interactive lessons that encourage exploration, visualization, data analysis and writing. Students can use it to help them master math and science concepts, improve problem solving skills, create great looking homework, access and download teacher-prepared materials from the Internet..." 07/22/01

Math Links and Online Tools: This page contains prepared links to more than sixty online tools for every day purposes, and some hints where you find more. 06/29/01

Math Type: This site's author calls this software "the best thing for writing equations since chalk". Well I can't say, but sounds like it's worth a try? 06/29/01


RegEx (Regular Expressions):

Many people seem to be using RegEx as a way to create the variations for answers in math questions in their online courses. I've heard it's simple to learn and use, but I don't do math so I don't use RegEx. However, I have a few reference sites for you to check out, below.

RegEx Side: Says the site's author: "Regular Expressions are a necessary evil. So necessary they are, that they could be considered good." See his recent posting, Regex Cheat Sheet. 03/02/07

Regular expression checker 03/24/05

Henk's regex checker (Henk is an online colleague of mine, and a real expert with regex) 03/17/05

Regular Expression Basics: "Because there can be varying implementations, this article will cover basic principles that are commonly used." 06/17/04

The Regex Coach: A free graphical application for Linux and Windows which can be used to experiment with (Perl-compatible) regular expressions interactively. 06/22/03

Demo of RegEx for short-answer questions: Maybe you'll want to read this whole discussion thread, not just this message. Later in the thread, Henk (see item above) expands on this message's info. 04/01/03

RegEx jumpstart for WebCT users: This thread will answer your questions and provide you with a jump start to using regular expressions in WebCT quizzes. Then here's another thread, and after that, yet another thread. :) 12/12/01


Math ML:

Displaying MathML in your browers:

  • MathPlayer: "Design Science MathPlayer™ enables Microsoft Internet Explorer to display mathematical notation in web pages. It is based on MathML technology and requires Internet Explorer for Windows version 6.0 and later. We make MathPlayer available for free in order to foster the adoption of MathML in the math, science, and education communities."

  • MathEQ (the plugin, as opposed to the entire Developers' Suite): "The WebEQ Browser Controls are Java applets that display, graph, evaluate and edit MathML in your browser. By installing these Browser Controls, you will be able to view interactive math in Web pages created with WebEQ without delays while applets download. Installation is quick, simple and free."

Putting mathematics on the Web with MathML: W3C's site with all the facts and how-tos. "This note explains how to include MathML in Web pages in a way that makes it possible to be viewed on a large number of browsers. It also shows how to configure browsers to make them able to display MathML." 12/04/05

How to make WebCT 4 CE questions that contain MathML: Steve Corwin, the author of this page, says, "If you know LaTeX, it's not hard to put MathML in WebCT questions and answers reasonably quickly. (It's just hard to find out what works!)  I've posted a page with all I know about it, and the tools you need to do it. Thanks to all whose posts helped me out with this." 05/31/05

W3C Math Home: "MathML 2.0, a W3C Recommendation was released on 21 Feb 2001. A product of the W3C Math working group, MathML is a low-level specification for describing mathematics as a basis for machine to machine communication. It provides a much needed foundation for the inclusion of mathematical expressions in Web pages." 04/05/03

EzMath Plugin and Editor v1: (Dave Raggett) "MathML is an XML application and very verbose. In search of an easier to learn and more concise notation, I have been inspired by how people say mathematical expressions when reading aloud. The result is now available for downloading as a plugin and standalone editing tool for the EzMath notation developed together with Davy Batsalle from ENST. EzMath is particularly simple to use as well as providing a convenient way to author MathML. Have a look and see how much smaller and more obvious EzMath is compared to MathML!" 04/05/03

MathML Tutorial: (pdf) Michael Kohlhase from the W3C Math Working Group. The tutorial introduces the language, explores relationships with other mathematical notation languages, and exposes concrete problems with publishing MathML on the Web. 04/05/03


Math in WebCT

Math functions available in WebCT: A page provided by Edmond Yeung. Shared with permission. 03/02/07

Webworks: One WebCT user reported that this application "seems to be far, far, far more useful for mathematics [than the built-in equation editor]." 03/30/04

MathML, WebEQ, etc: A series of articles by William F. Moss, College of Engineering and Science, Clemson University, South Carolina USA. For the most updated information, go straight to the 4th article. 11/18/04

  • Math Symbols in WebCT Assessments ~ An overview of WebCT 3.7+, WebEQ, MathType, and Respondus: "This paper provides an overview of the three methods [image files, MathML, and WebEQ] as it relates to the assessment tools in WebCT. Special focus will be placed on WebCT (which includes the WebEQ equation editor) and Respondus, a third-party tool that allows users to create WebCT assessments offline."
  • Mathematics in WebCT: June 10, 1999. "This paper will demonstrate a number of methods by which mathematical expressions can be incorporated into the Web pages generated by WebCT."
  • Mathematics in WebCT II: June 16, 2000 (Same paper as above, but updated for current information.) "This paper will demonstrate a number of methods by which mathematical content can be incorporated into WebCT. We divide discussion into two broad categories: static content and interactive content. ... Following a discussion of browser issues, four sections of this paper examine methods for generating static mathematical content. After a discussion of incorporating static content into WebCT, we examine methods for generating interactive content."
  • Mathematics in WebCT III: June, 2001. Discusses MathML, WebEQ, Respondus for Math, and other plugins. "This paper will discuss three areas in which I have recommendations for future development of WebCT: the browsers supported, the quiz tool, and the math functions for calculated quiz questions, and will provide some late-breaking-news on rendering of mathematics in browsers."
  • Mathematics in WebCT IV - MathML: September 2002. Discusses WebEQ, mathML output & applets, universal stylesheets, the use of Respondus with MathML and WebEQ, etc. "This paper will update the WebCT community on methods for incorporating MathML in WebCT. ...This fourth paper will focus on using MathML and will be limited to discussion of the WebEQ plug-in for IE and Netscape and MathPlayer for IE. ... Each section of this paper discusses a method for implementing MathML in WebCT."

 

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