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A collection of simple Word Problems illustrating concept-based problem solving. These are typical of problems in textbooks, in a variety of competency tests and real-life problems. The problems, and their solutions, on this site provide a base for Integrated Thematic Instruction in mathematical problem solving. There is a urgent need to replace the many problem solving schemes that have been randomly introduced in K-12 math education in recent years with processes based on sound use of mathematics. Both Benjamin Bloom's Taxonomy1 of cognitive skill and Howard Gardner's Seven Intelligences1,2,3 are well represented in the problem solutions and the descriptions of the problem solving process. The free website Ms. Lindquist: The Algebra word Problem Tutor provides a valuable resource for exercise in handling story problems. The program was developed by Neil Heffernan at Carnegie Mellon University. The table at the left provides a quick, powerful source of automatic math operations. Use it to study math operations and to do online math. Close the new window to return to this page. QuickMath is a product of QuickMath. Copyright 1999. All rights reserved.

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These problems provide the background in problem solving needed to solve problems reliably in more advanced courses. They provide the edge needed to excel in all courses and tests involving use of mathematics in problem solving at the elementary, high school and university levels. Change the way you solve problems forever! Break the problem solving barrier and make Story Problems fun and a constructive learning experience by moving past pretend-a-math.

 

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An overview 11/23/97 .
Request-Response_Result. The problem solving concept 10/24/97
The fundamentals of problem solving .
The I can't do word problems! syndrome. 11/11/97
Request-Response-Result exercises .The bridge between arithmetic and algebra.
Mary's Apples . The solution to all problems!
Mary's Apples Animated
How to start a solution Interactive 10/19/97
Examples of unit conversion
The area of a pool deck Interactive
Story problems made easy

K-3 through K-12 problem set 4/16/2002
Lesson plans for problem solving Last modification 7/25/99
An evolving problem solving textbook. Last modification 4/15/2002
A short course in problem solving Last modifcation 3/10/2002
Interactived exercise in problem solving. 1/7/2000

Four Circles 11/3/97
The racing cockroaches 11/16/97
Bob's Age
David's Age
Ticket Sales . A mixture problem 10/17/97
The Shepherd's Age
Value of the Square Root of a Function
Evaluating An Expression
A Problem Involving Squares
The roots of a quadratic equation. Animated
Find a two digit number
Length of a Pole in a Lake
Speed of a Plane
About a ball thrown upward. 10/20/97
Salary Plus Commissions
Hourly Pay
Depreciation of a Piano
Where in the Forest are the Xenophobes?
Cats and dogs
Who is married to whom?
Giving meaning to large numbers 10/21/97
What is the area of the red square?
Factorials and recursion
Fibonacci series and recursion
The magic urn. A probability problem 10/24/97
More algebra

These problems serve to illustrate principles of problem solving. An extensive set of problem solutions in all subjects that use mathematical methods for problem solving is available in The Journal of Modern Problem Solving.