When it comes to research design, the literature largely focuses on prescriptions for strengthening causal inference--identifying confounders, selecting appropriately comparable cases, generating testable hypotheses, etc. This approach to research design features the logic of inquiry heavily, but overlooks the logic of discovery. The logic of…

The researcher conducted a six-month ethnographic study as an apprentice carpenter in Cape Town, South Africa, to document the valid mathematical ideas that are embedded in the everyday woodworking activities of a group of carpenters. A secondary objective was to examine and to give a firsthand account of the teaching and learning of mathematical…