## Thursday, December 30, 2010

### Math != Calculating

This is an interesting talk:

Math >> Calculating

1. Pose the right questions.
2. Real world problem --> math formulation
3. Computation
4. Math formulation --> real world problem and verification

Maybe not spend so much time on step 3?  Use computer programming to nail down understanding!  These are very interesting ideas.

===

## Thursday, December 2, 2010

### Adding and Subtracting Rational Expressions

To simplify a rational expression:
Step 1:  Factor all denominators as a means to easily determine the LCD.
Step 2Multiply by the appropriate factors to obtain equivalent terms with a common denominator.
Step 3Add or subtract the numerators and place the result over the common denominator.
Step 4:  Simplify the resulting algebraic fraction.

A more involved example follows:

It is always a good idea to state the restrictions.  Remember that the restrictions are the values that produce zero in the denominator.

---

### Mandelbrot Explorer using Flash

Give the below flash movie a minute to download. Move the looking glass over the picture and release it to zoom.

The orbit is displayed, real time, in the corner.

## Monday, November 29, 2010

### Trigonometric Function Explorer using Flash

Above you should see a flash movie that I have made.  This is a test post to see if I could emed a flash component into blogger.  The swf file has been saved in Google docs and shared with everyone. Success!

## Wednesday, September 15, 2010

### Top 100 Most Influential People of the Last Millennium

From the economicexpert.com
On October 10, 1999, the American cable network A&E started counting down a list of the 100 most influential people of the millennium compiled by a staff of 360 journalists, scientists, theologians, historians, and scholars.
As many as 250 people were chosen to be on the list, but only 100 made it, these are the 100 people that did the most to shape the world we live in today.

## Saturday, September 4, 2010

### NASA Photo Archive

A great resource for historical images found on Flickr:     NASA on The Common photostream:

A Delta II rocket.

More images can be found here:  NASA Images

---

## Monday, August 9, 2010

### Average Mathematics Scores by Country 2007

This does not seem so bad to me.  Here is the original link

Table 1. Average mathematics scores of fourth- and eighth-grade students, by country: 2007

Country Average score Country Average score
TIMSS scale average 500 TIMSS scale average 500
Hong Kong SAR1 607 Chinese Taipei 598
Singapore 599 Korea, Rep. of 597
Chinese Taipei 576 Singapore 593
Japan 568 Hong Kong SAR1, 4 572
Kazakhstan2 549 Japan 570
Russian Federation 544 Hungary 517
England 541 England4 513
Latvia2 537 Russian Federation 512
Netherlands3 535 United States4, 5 508
Lithuania2 530 Lithuania2 506
United States4, 5 529 Czech Republic 504
Germany 525 Slovenia 501
Denmark4 523 Armenia 499
Australia 516 Australia 496
Hungary 510 Sweden 491
Italy 507 Malta 488
Austria 505 Scotland4 487
Sweden 503 Serbia2, 5 486
Slovenia 502 Italy 480
Armenia 500 Malaysia 474
Slovak Republic 496 Norway 469
Scotland4 494 Cyprus 465
New Zealand 492 Bulgaria 464
Czech Republic 486 Israel7 463
Norway 473 Ukraine 462
Ukraine 469 Romania 461
Georgia2 438 Bosnia and Herzegovina 456
Iran, Islamic Rep. of 402 Lebanon 449
Algeria 378 Thailand 441
Colombia 355 Turkey 432
Morocco 341 Jordan 427
Tunisia 327 Georgia2 410
Kuwait6 316 Iran, Islamic Rep. of 403
Qatar 296 Bahrain 398
Yemen 224 Indonesia 397
Syrian Arab Republic 395
Egypt 391
Algeria 387
Colombia 380
Oman 372
Palestinian Nat'l Auth. 367
Botswana 364
Kuwait6 354
Saudi Arabia 329
Ghana 309
Qatar 307

Average score is higher than the U.S. average score (p < .05)
Average score is not measurably different from the U.S. average score (p < .05)
Average score is lower than the U.S. average score (p < .05)
1 Hong Kong is a Special Administrative Region (SAR) of the People's Republic of China.
2 National Target Population does not include all of the International Target Population defined by the Trends in International Mathematics and Science Study (TIMSS).
3 Nearly satisfied guidelines for sample participation rates only after substitute schools were included.
4 Met guidelines for sample participation rates only after substitute schools were included.
5 National Defined Population covers 90 percent to 95 percent of National Target Population.
6 Kuwait tested the same cohort of students as other countries, but later in 2007, at the beginning of the next school year.
7 National Defined Population covers less than 90 percent of National Target Population (but at least 77 percent).
NOTE: Countries are ordered by 2007 average score. The tests for significance take into account the standard error for the reported difference. Thus, a small difference between the United States and one country may be significant while a large difference between the United States and another country may not be significant. The standard errors of the estimates are shown in tables E-1 and E-2 available at http://nces.ed.gov/pubsearch/pubsinfo.asp?pubid=2009001.
SOURCE: International Association for the Evaluation of Educational Achievement (IEA), Trends in International Mathematics and Science Study (TIMSS), 2007.

## Wednesday, July 28, 2010

### My Very Own Channel!

I have a youTube channel now!

---

## Thursday, July 15, 2010

### Absolute Value Inequality: A Graphical Approach

An absolute value inequality, such as,

can be solved as follows:

We can visualize these solutions if we graph the function,

in the rectangular coordinate plane and determine where the graph lies below the horizontal line given by .  In other words, for what x-values is

This idea is illustrated below:

Furthermore, we could use the same graph to visualize the solutions to,

We can see that the solutions are,

Now take the time to compare this visualization to that given on Wolfram Alpha.  Remember, it is always helpful to understand the geometric interpretation whenever possible.

## Tuesday, May 18, 2010

### Goofram - Search Google and Wolfram Alpha at the same time!

This is an interesting idea... google and Alpha side by side!

Goofram - Search Google and Wolfram Alpha at the same time!

---

## Thursday, May 13, 2010

### Math Education in the Real World

Here is a nice talk... "students come pre-installed with viruses..."

## Thursday, April 8, 2010

### The Future of the Lecture?

Here is a link that I found interesting regarding the future of education.

A Parody of the Future of Education

## Monday, February 15, 2010

### CAUTION: Multiplication before addition or subtraction.

Be aware that "they" like to dangle addition or subtraction in front of us like follows:

5 - 2(x + 7) = 11

It is very much tempting to subtract 5 - 2, isn't it? DO NOT DO IT... the order of operations requires that we multiply (or distribute) before subtraction. The solution follows:

### Screen Capture

Use the Snipping Tool in Windows Vista for quick and easy screen captures. It is included, so to find it click the Start menu and type "snipping" in the search box.

Here is a link to more detailed instructions.

## Saturday, February 13, 2010

### Solving Linear Equations

Another video posted on YouTube. It seems that YouTube is more mobile friendly than blip. Here is another video test.

### Stop Motion Tutorial

This is my first attempt at a stop motion video tutorial. Just a test really. I am solving a linear equation that happens to be an identity.

## Thursday, February 11, 2010

### Free Fonts

Links to free fonts and how to make them! This might be useful.

http://www.articulate.com/rapid-elearning/over-100-free-handwritten-fonts/

### A brief history of everything...

I really like this idea.

## Wednesday, February 3, 2010

The creative commons website offers easy to use tools for determining which attribution is best for you. Visit the site:

http://creativecommons.org/

Click license, and after answering the questions click the Select a License button. It then shows which license is best and provides HTML that can be cut-and-pasted into your website as follows: