Sam Calavitta energizes a Fairmont Preparatory Academy calculus class with his unconventional teaching methods. His classes are noisy and spirited; boredom is banished. Last year his students earned an average score of 4.79 out of 5 on the college-level AP calculus test. (Irfan Khan / Los Angeles Times / February 25, 2009)
Sam Calavitta presides over what may be the noisiest, most spirited math class in the nation.

He greets each student personally, usually with a nickname ("Butterfly," "Batgirl" and "Champ" are a few) and a fist bump. Then he launches a raucous, quiz-show-style contest.

Boys and girls line up on opposite sides of the room, Calavitta shouts out complex equations from index cards, and the opposing sides clap and cheer with each correct answer.

"State the anti-derivative of the secant function," Calavitta yells.

"The natural log of the absolute value secant x plus tangent x plus c," a student answers correctly.

Next it's a trigonometry game, with students shifting partners after each question is posed, making a mad dash around tightly squeezed desks to find a new spot.

This is a typical day in Calavitta's Advanced Placement calculus class. His students at Fairmont Preparatory Academy in Anaheim think he may be the best math teacher on any campus, anywhere. They may be on to something.

Just look at his AP calculus exam scores from last year: All 81 of his students aced the college-level test, earning an average score of 4.79 out of 5. Sixty-nine of the students earned a perfect 5.

On Feb. 19, he was one of 50 teachers from around the country to win the 2009 Siemens Award for Advanced Placement, which recognizes "exemplary teaching and enthusiastic dedication to students and the AP program." He received a \$1,000 prize.

And in 2008, the College Board recognized Fairmont Prep as having one of the strongest AP calculus programs in California.

On a campus with about 560 students in seventh through 12th grades, 30% are enrolled in AP calculus classes. Since Calavitta began teaching AP courses in 1993, his students have had a 96% pass rate on the exam.

On campus, he is called Mr. Cal or simply Cal. His rapport with students, like his energy, comes easily. Think drill sergeant and trusted advisor. He sees himself as a math coach.

Boredom is an enemy. He -- and his students -- are always on the move.

"He challenges you, but he also makes you feel comfortable and makes it understandable," said Brook Jeang, a 16-year-old junior. "It's the Cal method. You can't really duplicate it."

Calavitta, the father of nine, is a former aerospace engineer who developed his philosophy of teaching from sports, where he competed as a wrestler and is now a triathlete. The drill is the same -- learn new skills, master them through practice, but always circle back to the basics.

"One of the difficulties with the conventional teaching approach is teachers' feeling their job is to disseminate information from the textbook and have the kids regurgitate it, and then it's quickly forgotten," said Calavitta. "The promise I make to my students is that, 'I will never let you forget.' "

Esther Chung, 16, said Cal helped her feel confident in her skills from the start, even though she'd never taken an AP exam. Students can receive college credit if they pass AP tests; Chung got a 5.

"There's never a day when we're not having quizzes and competitions," said Chung. "He prepares you so well that when you actually get to the exam, it feels like just another day in Cal's class."

Stephen Yoo, 13, wasn't about to miss an opportunity to learn from Mr. Cal. He is one of two eighth-graders taking AP calculus this year; 13 is an extremely young age to tackle the subject. Last year, one of Calavitta's eighth-grade students scored a perfect 5 on the AP exam.