I have spent over ten years teaching math and programming classes at the Kirby School in Santa Cruz, CA, a private school for grades six through twelve. I developed and taught over four programming and computer-science courses for the school.

Prior to that, I taught dual-language classes at the Latino College Preparatory Academy in San Jose.

Philosophy of teaching

Every student has agency and makes their own decisions about what gets their attention and efforts. This is the reality of working with human beings. I must work within the quirks and limitations of human attention, and present my teachings in ways that the students can receive. Graceful cooperation — founded on mutual respect and commitment to see each other as we really are — yields a healthier dynamic, and is more sustainable, than attempting to override our human failings with an authoritarian approach that is willful and hard.

Whatever I teach, I must attend to that which serves all my students. When we read math content standards, it’s easy to get bogged down in tiny chunks of measurable skill and lose sight of the bigger picture, and we must be alert to this if we are to avoid losing students’ motivation. So, my intention is to focus primarily on cultivating growth mindset and teaching students new ways of thinking, and let the skill development follow. Starting from well-chosen problems — true problems, not exercises (though those have their place) — we can have fruitful discussions about how we think and what makes a solution good and where insight comes from. Using real problems also allows us to address the real transferable skills that will make a student successful in any future career:

I also believe:

Rules work best when simple, universally applicable, stated positively, and connected explicitly to their intended purposes.

Formative assessment must be woven into each class session.

Intrinsic motivation is better than extrinsic in the long run, since it’s self-sustaining.

There must be a plan and a schedule, and willingness to deviate from both.

My classroom design and layout must

These principles come from my past teachers and from observation of students in my work. As a teacher, I have the responsibility to continue reflecting on, and continually refining, my own practices and processes — and the principles I base them on.

Work samples

On classroom management: This generic instructions sheet for substitute teachers covers my classroom routines; I supplemented it with specifics about whatever the students were studying in my absence.

On summative assessment: This holistic rubric covers the meanings of the letter grades in the courses I was teaching at the time. Each column gets one box circled, which we do on two copies: I fill out one, the student self-assesses on the other, and we conference to resolve discrepancies. The conferencing takes one class period and is done during students’ group or independent work.

One year, I surveyed the students in December about what their classmates did well. Afterwards, I made word clouds that show each student’s name in a size that reflects how often they were mentioned by others. These went up on the door to the room as positive recognition; students seemed delighted with them, and they reinforced the notion that there’s a variety of skills and dispositions that can make someone a good student and user of math.

This problem set was part of one year’s final exam in geometry, and allowed me to observe students’ discussion habits as well as their understanding of the semester’s geometry material.

Two posters that went on my geometry classroom walls for reference: one about the mathematical habits to practice in my class, and one with sentence frames that are useful for discussing problems.

Painting the walls of my geometry classroom:

Several basic constructions, a Piet Hein quotation, and the quadrilaterals.

Several basic constructions, a Piet Hein quotation, and the quadrilaterals.