Two potentially impactful conceptions of mathematics and mathematics teaching, teachers' implicit theories (i.e., mindset) toward intelligence and mathematical ability, have not been well examined in the literature. This study established baseline characteristics for these constructs across grades K-12 teachers through a survey of background and mindset characteristics of 583 classroom teachers. Analyses regarding the uniqueness of these constructs, their proportions in the sample of teachers, and differences in mindset by subject and grade level taught are provided. Mindset regarding mathematical ability was found to be distinguished from mindset regarding general intelligence, and as a whole, teachers displayed drastically different distributions of mindset than the population, with growth-oriented mindset characteristics for intelligence and mathematical ability greatest among elementary teachers and mathematics teachers. Additionally, teachers' mindsets regarding these constructs appeared to be strongly oriented toward growth. Mindset constructs, which are potentially impactful to mathematical teaching practices, should be further examined in relation to effective classroom teaching, particularly at the elementary level, and differences in the distribution of these constructs by grade level taught should be further explored.
The findings reported in this paper were generated from a case study of teacher leaders at a state-level mathematics conference. Investigation focused on how participants viewed the mathematical processes of communication, connections, representations, problem solving, and reasoning and proof. Purposeful sampling was employed to select nine participants who were then interviewed and observed as they presented a session at the conference. Participants' statements revealed differences in their views of mathematical processes. The analysis led to an emergent framework for views of mathematical processes that includes three levels: participatory, experiential, and sense-making. Implications are shared for mathematics methods instructors, professional learning, and research. Discussion also relates the framework to the Standards for Mathematical Practice.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.