Collaboration is an increasingly popular topic in mathematics education due to its potential to foster students' learning. The purpose of this article is to draw attention to the semantic philosophical theory of inferentialism and its value for investigating students' collaboration. We suggest that Brandom's inferentialism can serve as a valuable…

The study examined the knowledge of the functional relations between potential difference, magnitude of current, and resistance among seventh graders, ninth graders, 11th graders (in technical schools), and college students. It also tested the efficiency of a learning device named "functional learning" derived from cognitive psychology on the…