A hallmark of effective teaching is that it grants learners not just a collection of facts about the world, but also a toolkit of abstractions that can be applied to solve new problems. How do humans teach abstractions from examples? Here, we applied Bayesian models of pedagogy to a necklace-building task where teachers create necklaces to teach a…

Because many children worldwide fail to realize their potential for learning school mathematics, diverse initiatives have embraced using digital technologies that provide feedback to individual children. Such training, however, draws children's attention away from the teacher and peers, reducing opportunities for peer-to-peer teaching, learning,…

As a theory of skill acquisition, the instance theory of automatization posits that, after a period of training, algorithm-based performance is replaced by retrieval-based performance. This theory has been tested using alphabet-arithmetic verification tasks (e.g., is A + 4 = E?), in which the equations are necessarily solved by counting at the…

The "testing effect" refers to the finding that after an initial study opportunity, testing is more effective for long-term retention than restudying. The testing effect seems robust and is a finding from the field of cognitive science that has important implications for education. However, it is unclear whether this effect also applies…