Using only elementary geometry, determine angle x. Provide a step-by-step proof.
You may only use elementary geometry, such as the fact that the angles of a triangle add up to 180 degrees and the basic congruent triangle rules (side-angle-side, etc.). You may not use more advanced trigonomery, such as the law of sines, the law of cosines, etc. There is a review of elementary geometry below.
Research shows that the difference between what is taught and what is learned is often greater than most instructors realize. Lillian McDermott from the University of Washington discusses current and future trends in math and science education.
Conference in Brooklyn, NY April 27-29, 2007
State education officials, worried that many elementary teachers struggle with math, are making it harder to get a teaching license and urging colleges to offer more demanding courses for aspiring teachers.
The applet below computes the area of a figure made of rectangles which approximates the region under the given curve. This curve is the graph of a polynomial of degree three or less. The coefficients are listed in the boxes just above the graph. In the start-up exampel they are 0, 1, 0, 0, correspoding to the graph
y = x2,
a parabola.
A random variable is a numerical outcome of a random experiment. For example, we could consider X the number of spots on the roll of a die. Or, we could roll 6 dice and let X be the sum of all six values. The distribution of a random variable is the collection of possible outcomes along with their probabilities. This may be described by a table, a formula, or a probability histogram.
Albert Einstein is perhaps the most famous scientist of this century. One of his most well-known accomplishments is the formula
Despite its familiarity, many people don't really understand what it means. We hope this explanation will help!
NCTM peer-reviewed math journal.