My first year of math teaching was in 1995 at an innovative private high school in San Francisco named Lick-Wilmerding. Students worked in small groups to explore algebra and geometry, reporting their findings in documents written as if they were lab reports. Students would receive direct instruction when necessary, but frequently, questions were explored and answered by members of the groups themselves. I adapted hesitantly to this new structure, as I myself had been taught by teachers and professors using lecture combined with extensive homework practice. Over my subsequent years of teaching in the states I explored a range of methods tailored to the various cultures of the schools at which I taught. This included straight lecture and homework, a mixture of lecture and independent class work, and collaborative group work supported by a textbook. Over the last 8 years of teaching at La Jolla Country Day in San Diego and two international schools in Spain, the American School of Valencia and the American School of Madrid, I’ve developed Courage To Core which allows my ninth and tenth grade math students to explore mathematical concepts as if exploring scientific concepts in laboratories.
