Algebra is nothing more than geometry, in words;
geometry is nothing more than algebra, in pictures.
The lock-step approach of algebra, geometry, and then more algebra (but rarely any statistics) is still dominant in U. S. schools, but hardly anywhere else. This fragmented approach yields effective mathematics education not for the many but for the few primarily those who are independently motivated and who will learn under any conditions.
Fractions, decimals, algebra, geometry, trigonometry, calculus, mechanics - these are the steps up the mountain side. How high is one going to get? For me, the pinnacle was Projective Geometry. Who today has even heard of this branch of mathematics?
Algebra is but written geometry and geometry is but figured algebra.
Yes, I took a remedial algebra course in college. I struggled in math in high school and didn’t have confidence to plunge in with a for-credit algebra course. The remedial course gave me a lot of confidence so that when I took the for-credit algebra course it was fairly easy and I got a ‘B,’ of which I remain proud today!
When the students were asked to identify their race on a pretest questionnaire, that simple act was sufficient to prime them with all the negative stereotypes associated with African Americans and academic achievement. If a white student from a prestigious private high school gets a higher SAT score than a black student from an inner-city school, is it because she’s truly a better student, or is it because to be white and to attend a prestigious high school is to be constantly primed with the idea of “smart”?
Pi is not merely the ubiquitous factor in high school geometry problems; it is stitched across the whole tapestry of mathematics, not just geometry's little corner of it. Pi occupies a key place in trigonometry too. It is intimately related to e, and to imaginary numbers. Pi even shows up in the mathematics of probability
Most people will solve the problems they know how to solve. Roughly speaking they will solve B+ problems instead of A+ problems. A+ problems are high impact problems for your company but they're difficult problems.
Students are suffering under incredibly high tuitions and high student loan interest rates. They graduate from school, and they're having a very difficult time finding a job. They don't feel as though there are honest leaders who are listening to them, and who will be a part of the solution.
I was allergic to school. I was completely befuddled by school. I was trying so hard, but I couldn't succeed. I took geometry for four years, the same course over and over again, and I did not graduate with my senior class. I finally passed geometry after doing summer school, and eventually, I graduated.
There is certainly the intention of efforts like the Common Core to raise education standards and make sure that every student masters advanced math concepts - algebra, geometry, statistics and probability.
When I entered high school I was an A-student, but not for long. I wanted the fancy clothes. I wanted to hang out with the guys. I went from being an A-student to a B-student to a C-student, but I didn't care. I was getting the high fives and the low fives and the pats on the back. I was cool.
I know we can all remember the days of sitting in algebra class asking ourselves, 'why will I need algebra or chemistry in the future?' The answer was and still remains that advanced math and science classes help high school students develop their analytical and cognitive skills and better prepare them to compete in college and the workplace.
I was actually kind of a hot mess in high school. I did a lot of things in high school I'm not proud of. I wasn't a good student and I wasn't particularly a good daughter. I wasn't very engaged.
Each year more than 100,000 high school graduates, with proved ability, do not enter college because they cannot afford it. And if we cannot educate today's youth, what will we do in 1970 when elementary enrollment will be 5 million greater than 1960? And high school enrollment will rise by 5 million. College enrollment will increase by more than 3 million.
I think Wonder Woman is a very difficult character to crack. More difficult than Superman, who is also more difficult than Batman. Also, a lot of people in Hollywood believe that it's hard to do a big action movie with a female lead. I happen to disagree with that.