Cut the Knot
Cut the Knot!: What Is a Number?
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Cut the Knot
Cut the Knot!: Mathematics as a Language
A sophisticated discussion on the language of mathematics, its origins, meanings, and precision.
Oswego City School District
Regents Exam Prep Center: Logic
Understanding mathematical language in problem solving can be a difficult concept to grasp. Sharpen your logical reasoning skills at this test prep site that explains the terms: if, and, or, implies, and only if, as they relate to math....
Oswego City School District
Regents Exam Prep Center: Truth Value of Open Sentences
What happens when there is not enough information to solve a problem? Find out at this test prep site, how missing information or "open sentences" can change the value or truth of a math equation. Practice understanding and applying this...
Other
Austin Community College: Mathematical Language
Austin Community College provides a few paragraphs on mathematical language, the importance of learning it, and the importance of using it correctly.
University of Cambridge
University of Cambridge: Nrich: Watching the Wheels Go `Round and `Round
Use the formula for the circumference of a circle to solve the challenge of this problem. The solution is available at this one page website.
University of Cambridge
University of Cambridge: Nrich: Red Balloons, Blue Balloons
Use your problem solving skills to help Katie and Will solve the problem they have with blowing up their balloons until they pop. See if you can discover the solution on your own at this one page website. Then check the solution...
University of Cambridge
University of Cambridge: Nrich: Writing Digits
At this one page website you must know the difference between digits and numbers to solve the challenge. When you have a solution you can check it with the solution right there on the website.
University of Cambridge
University of Cambridge: Nrich: Magic Squares 3x3
Use your problem solving skills to make these magic squares work correctly. The solutions are at this one page website.
University of Cambridge
University of Cambridge: Nrich: Magic Squares 4x4
Warm up your problem solving skills to make the magic work in these magic squares by getting the correct numbers in the correct spot. You can check your solution at this one page website.