Exercises in Math Readiness for University (EMR) A collection of exercises that the Department of Mathematics and Statistics at the University of Saskatchewan have put together on those high school mathematics topics that seem to be most important for university study in mathematics, sciences, engineering and commerce. Exercises are available in three degrees of difficulty, covering the topics of graphing, solving inequalities, real numbers, decimals, algebra, expanding binomials, polynomials and roots, fractions, absolute value and distance, modeling real world problems, graphing polynomials and rational functions, geometry, trigonometry, exponents, and logarithms. Main Menu, Directions for Teachers, Necessary Software, Teacher Response Page. From Industry Canada's SchoolNet Program.
The Numeroscope - Paul Burchard An Interactive Laboratory of Numbers and Cryptography: A multi-media lab for exploring the number systems that form the basis for cryptography that uses the exploration of these somewhat exotic number systems to illuminate the meaning of familiar algebraic operations (like +, -, x, /, sqrt, Log). Modules: Addition and Multiples; Multiplication, Powers, and Logarithms; Factoring Number Systems; Applications to Cryptography (RSA); The Square Root; Solving Polynomial Equations.
Math Share Shop - Algebra Reference Sheets Combining signed numbers; Polynomials and fractional equations; Factoring trinomials; Quadratic equations; Graphing linear equations. (Large images.)
Babylonian Mathematics - Dennis J. Ramsey Math from 3900 years ago in Mesopotamia, specifically the city of Harmal in ancient Babylonia. Cuneiform symbols on clay tablets. The Babylonians divided the day into 24 hours, each hour into 60 minutes, each minute into 60 seconds. This form of counting (hexasegimal or base 60) has survived for 4000 years. They had tables of squares, square roots, cubes, cube roots, reciprocals, exponential functions, log functions.... They reduced equations to the quadratic form and solved some polynomial equations to the eighth degree. Unlike the Greeks 1000 years later, the Babylonians thought in terms of algebra and trigonometry instead of geometry.
Personal Algebra Tutor, PAT - CyberEd, Inc. Enables students to enter a wide variety of high school through college algebra problems - solves,
factors, evaluates, simplifies, and graphs problems step-by-step, with explanations, using a student's
required method with context-sensitive hypertext help and tutorial. No drill. No games. Fee for use.
Precalculus for the Calculus Student A warp-speed discussion of precalculus topics for students who are in Calculus I. Solving Equations Graphically and Numerically; Linear Functions; Exponential/Logarithmic Functions; Polynomial/Rational Functions; Trigonometric Functions. Practice exam, challenge exam.
Precalculus - Preparing Students for Calculus A text designed to prepare students for calculus, with chapters on functions, powers, polynomials, logs, exponentials, and trigonometry. Models a new approach to learning through non-traditional homework (explanatory rather than computational); an emphasis on connections to lower- and higher-level material; on learning how the symbolic language of math is used; on graphs, their interpretation, and the effective use of graphics calculators; and on mathematical skills not tied to a single generation of calculators. Ordering information available. By Warren Esty of Montana State University.
Algebraic Ideas (Explorer) ClarisWorks and Acrobat files. Jeopardy (Ages 4-12); Ice Cream Mathematics (3-5); 1996-A Very Good Year (7-9); Laws of Exponents (7-12); Architecture, Structural Engineering (7-12); Factoring II (8-10); Inverse Operations (8-10); Order of Operations (8-10); Polynomials and Equations (8-10); Power of Algebra Series (8-10); Words Into Symbols (8-10); Basic Properties (8-10); NIM (4-12); Mole as a large number (8-Graduate).
Maed 3103 (Mathematics Education) A series of lessons for secondary school mathematics teachers. Focuses on a variety of tools and issues for math education. Includes: introduction to PC's, introduction to the world wide web, introduction to the TI-82 graphing calculator, linear equations on a calculator, using a graphing calculator in teaching Algebra I and II, using a graphing calculator to explore polynomial functions, introduction to data analysis using the TI-82 calculator, box plots, two variable data and linear relationships, introduction to TI-82 programming, programming concepts, introduction to Maple, comments on using calculators, data resources for the course, and a bibliography. Lesson plans cover basic concepts and pose questions and suggest activities.
GrafEq (Graphing Program) An intuitive and flexible program for producing graphs of implicit relations. Graph equations encountered in the secondary pre-calculus math curriculum: linear, polynomial, conics, trigonometric, exponential, etc. A demo version is available here for downloading, and a site licence can be purchased for integration into the high school curriculum. View images of screens produced by the program, and browse a gallery of graphs demonstrating its visual range.
The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.