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Introduction to Bayesian Inference
Recorded as a requirement for the Online Higher Education Teaching Certificate, Derek Bok Center for Teaching and Learning, Harvard University.
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Statistics 134: Writing Biostatistics Papers
A guest lecture, invited by a University of the Philippines faculty member.
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Instructor
Department of Mathematics and Statistics, University of Maryland, Baltimore County
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Higher Education Teaching Certificate
Harvard's Derek Bok Center for Teaching and Learning, in association with HarvardX.
View certificate → -
Instructor
Bridging Program, King Fahad Security College, Ministry of Interior, Riyadh, Saudi Arabia
Bridging Course
Statistics, taught well, is the science and art of managing uncertainty. I teach it that way: theory and code together, not one before the other, so a concept never floats free of the data it is meant to explain.
Every course starts with why. Before a formula or a line of code, I ask what problem it solves and why anyone should care. What and how follow from there, and the sequence tends to stick.
I have taught in the Philippines, the United States, Saudi Arabia, and Poland, often to students working in a second or third language. That experience taught me to say a hard idea two ways: once in notation, once in plain language. Precision and accessibility do not have to compete. Students have told me I make difficult material approachable without diluting it. That is the compliment I aim for.
In the classroom I mix formats on purpose. I walk through an easy case, a moderate one, and a hard one for the same idea. A student lost on the third has still learned something from the first. Problem sets build in low-stakes stages toward the exam that counts. Deadlines flex when life does not cooperate.
I remain, deliberately, a student of my own field. I bring the papers I am still working out into the room I teach in. I tell students when I am uncertain. Teaching, done honestly, is where I learn what I understand.
I have taught in four countries now, in rooms where half the class was translating in their head before the material could even land. That should slow a class down. Instead it does something else. It forces the concept out of the notation it arrived in and into something a person can hold onto. I have never explained a hard idea that did not get better for having to survive that translation first.
There is a particular moment I keep teaching for. Someone gets stuck on a proof, or a script that will not run, long enough to stop pretending it will resolve itself. Then it does. Not because I explained it better the second time, but because they finally sat with it long enough to see it themselves. I did not do that. They did. My part was mostly staying quiet at the right moment instead of rescuing them from the confusion too early.
Statistics gets taught, often, as a set of formulas to survive rather than a way of thinking to keep. I do not think that is what it actually is. It is closer to a discipline of admitting what you do not know precisely. That is a strange thing to teach twenty year olds, most of whom have spent a decade being rewarded for sounding certain. Getting them comfortable saying I am not sure yet, here is what the data can and cannot tell us, feels like the real curriculum beneath the syllabus.
I am still, by most definitions, a student of my own field. The papers I bring into a classroom are often ones I am still working out myself. That means I get caught being wrong in front of students more often than I would like. I have decided that is fine. It might be the most honest thing I teach.