This large-scale study characterizes the algebraic learning of a cohort of nearly 800 French students during the last year of middle school (9th grade, 14-15 years old) and examines their evolution in relation to the composition of the classes to which the students belong. Based on the Anthropological Theory of the Didactic (ATD), the study is…

Professional learning experiences (PLEs) provide teachers with opportunities to improve their understanding of mathematics content and teaching practices. However, PLEs are often conducted in person and in small groups--hence costly and localized. The purpose of the current study was to explore different ways for teachers to engage in PLEs and how…

Algebra has been explicit in many school curriculum programs from the early years but there are competing views on what content and approaches are appropriate for different levels of schooling. This study investigated 12-13-year-old Australian students' algebraic thinking in a hybrid environment of functional and equation-based approaches to…

Undergraduates often are aware of and able to apply the facts required to prove a statement but still fail to prove it. By comparing doctoral students and undergraduates constructing proofs in abstract algebra, four types of strategic knowledge are hypothesized. Found that doctoral students had knowledge of how to choose which facts and theorems…