Histories of mathematical practice account for mathematical knowledge and action by interpreting presently-available evidence as traces of the events, contexts, and relations that make up the past. Interpretations depend on the assumptions one makes about how mathematical knowledge works, insofar as it is knowledge and insofar as it is…

"Catalyzing Change in Middle School Mathematics" is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, "Catalyzing Change in High School Mathematics: Initiating…

Mathematics education at the high school level is not working for many students. Although there has been steady improvement in mathematics learning at the elementary and middle school levels across the United States, for the past decade, student achievement has remained essentially flat at the high school level (NCES 2015, 2016). One possible…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

Secondary mathematics teachers are frequently required to take a large number of mathematics courses -- including advanced mathematics courses such as abstract algebra -- as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely…