Population genetics is often taught in introductory biology classes, starting with the Hardy–Weinberg principle (HWP) and genetic drift. Here I argue that teaching these two topics first aligns neither with current expert knowledge, nor with good pedagogy. Student difficulties with mathematics in general, and probability in particular, make population genetics difficult to teach and learn. I recommend an alternative, historically inspired ordering of population genetics topics, based on progressively increasing mathematical difficulty. This progression can facilitate just‐in‐time math instruction. This alternative (...) ordering includes, but does not privilege, the HWP and genetic drift. Stochastic events whose consequences are felt within a single generation, and the deterministic accumulation of the effects of selection across multiple generations, are both taught before tackling the stochastic accumulation of the effects of accidents of sampling. (shrink)

We are far too willing to reject the belief that much of what we see in life is random.Uncertainty is an everyday experience in medical research and practice, but theory and methods for reasoning clearly about uncertainty were developed only recently. Confirmation bias, selective memory, and many misleading heuristics are known enemies of the insightful clinician, researcher, or citizen, but other snares worth exposing may lurk in how we reason about uncertainty in our everyday lives. Here we draw attention to (...) a cognitive bias that is little known—or possibly unknown—to those outside the field of probability pedagogy. Described by Konold as the... (shrink)

The questions and methods of molecular biology and evolutionary biology are clearly distinct, yet a unified approach can lead to deep insights. Unfortunately, attempts to unify these approaches are fraught with pitfalls. In this informal series of questions and answers, we offer the mechanistically oriented biologist a set of steps to come up with evolutionarily reasonable and meaningful hypotheses. We emphasize the critical power and importance of carefully constructed null hypotheses, and we illustrate our ideas with examples representing a range (...) of topics, from the biology of aging, to protein structure, to speciation, and more. We also stress the importance of mathematics as the lingua franca for biologists of all stripes, and encourage mechanistic biologists to seek out quantitative collaborators to build explicit mathematical models, making their assumptions explicit, and their logic clear and testable. Biologists in all realms of inquiry stand to gain from strong bridges between our disciplines. (shrink)