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"I loved math. I loved algebra. I really loved geometry, [but] I hit the wall at pre-cal," said Rocca. "That's the problem," said Whitney, "because you were only given one road to go through mathematics. You got the impression that once you hit the wall, that's it. There's nothing more for you. In fact, math is this extremely, very beautiful landscape. And we're showing people just one road cut right through the center of it." Whitney says our math curriculum is designed for rocket scientists. Literally! Fifty years ago America was in a space race against the Soviet Union, and beefing up on our math program was seen as a winning solution.

The problem involved mathematical equivalence (i.e., 4+5+7=__+7), which is known to be critical to later algebraic learning. In the speech-only videos, the instructor simply explains the problem. In the other videos, the instructor uses two hand gestures while speaking, using different hands to refer to the two sides of the equation. Students who learned from the gesture videos performed better on a test given immediately afterward than those who learned from the speech-only video. Another test was given 24 hours later, and the gesture students actually showed improvement in their performance while the speech-only students did not.

The consideration of cord length is very important in a bungee jump—too short, and the jumper doesn’t get much of a thrill; too long, and ouch! In this lesson, students model a bungee jump using a Barbie® doll and rubber bands. The distance to which the doll will fall is directly proportional to the number of rubber bands, so this context is used to examine linear functions.