I found two helpful articles at squareCircleZ.
Ten Ways to Survive the Math Blues
General tips on how to learn as much as possible from any math course.The need for further exploration
What to do after you find the answer to a math problem.
Blog
Elementary Teacher Education
Unfortunately, this is all too believable:
Received an email from a parent.
Not one of our students, but rather the parent of a high school student who plans to attend this university. The parent is looking for advice on how to get the kid out of math. Seems that the kid has already taken the bare minimum number of units of high school math needed for graduation and has stopped taking math. The parent is wondering if the kid can take some sort of test (before forgetting any more math) to fulfill the university’s math requirement.
Guess what career the kid is planning on? School teacher.
From Rudbeckia Hirta at Learning Curves.
Percents: The Search for 100%
[Rescued from my old blog.]
Percents are one of the math monsters, the toughest topics of elementary and junior high school arithmetic. The most important step in solving any percent problem is to figure out what quantity is being treated as the basis, the whole thing that is 100%. The whole is whatever quantity to which the other things in the problem are being compared.
Common Sense and Calculus
One more quote from W. W. Sawyer’s Mathematician’s Delight before I have to return the book to the library:
If you cannot see what the exact speed is, begin to ask questions. Silly ones are the best to begin with. Is the speed a million miles an hour? Or one inch a century? Somewhere between these limits. Good. We now know something about the speed. Begin to bring the limits in, and see how close together they can be brought. Study your own methods of thought. How do you know that the speed is less than a million miles an hour? What method, in fact, are you unconsciously using to estimate speed? Can this method be applied to get closer estimates?
You know what speed is. You would not believe a man who claimed to walk at 5 miles an hour, but took 3 hours to walk 6 miles. You have only to apply the same common sense to stones rolling down hillsides, and the calculus is at your command.
Math Homework
If you’d like to start your week with a laugh, there are some cute math homework jokes at:
[I originally saw these images at a now-defunct blog, but a Google search quickly found this new site. Warning: There are a few crude remarks in the comments section.]
Mathematics and Imagination
Comments by W. W. Sawyer, in his wonderful, little book, Mathematician’s Delight:
Earlier we considered the argument, ‘Twice two must be four, because we cannot imagine it otherwise.’ This argument brings out clearly the connexion between reason and imagination: reason is in fact neither more nor less than an experiment carried out in the imagination.
Percents: Key Concepts and Connections
[Rescued from my old blog.]
Paraphrased from a homeschool math discussion forum:
“I am really struggling with percents right now, and feel I am in way over my head!”
Percents are one of the math monsters, the toughest topics of elementary and junior high school arithmetic. Here are a few tips to help you understand and teach percents.
Number Bonds = Better Understanding
[Rescued from my old blog.]
A number bond is a mental picture of the relationship between a number and the parts that combine to make it. The concept of number bonds is very basic, an important foundation for understanding how numbers work. A whole thing is made up of parts. If you know the parts, you can put them together (add) to find the whole. If you know the whole and one of the parts, you take away the part you know (subtract) to find the other part.
Number bonds let children see the inverse relationship between addition and subtraction. Subtraction is not a totally different thing from addition; they are mirror images. To subtract means to figure out how much more you would have to add to get the whole thing.
I’m Your Birthday Present. Can You Find Me?
One of our favorite family traditions for young children is the “hidden present.” Every year, one birthday present is hidden somewhere in the house, with the clue placed in an envelope to be opened after all the other presents are unwrapped.
Continue reading I’m Your Birthday Present. Can You Find Me?
2007 Mathematics Game
Are your students ready for a challenge?
The Math Forum: 2007 Mathematics Game will be a tricky one:
Use the digits in the year 2007 and the operations +, -, x, ÷, sqrt (square root), ^ (raise to a power), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100.
- All four digits must be used in the expression.
- Only the digits 2, 0, 0, 7 may be used.
- Multi-digit numbers such as 20, 207, or .02 MAY be used this year.
- The square function may NOT be used.
- The integer function may NOT be used.
Denise Gaskins' Let's Play Math 