Mathematics

Documenting how students with learning disabilities (LD) initially conceive of fractional quantities, and how their understandings may align with or differ from students with mathematics difficulties, is necessary to guide development of assessments and interventions that attach to unique ways of thinking or inherent difficulties these students may face understanding fraction concepts. One way to characterize such conceptions is through the creation of a framework that depicts key understandings evidenced as students work with problematic situations.

Lynch, S., Hunt, J.H., & Lewis, K. (2018). Productive struggle for all: Differentiated instruction. Mathematics Teaching in the Middle School, 24(4), 194-201.

Anticipating and responding to learner variability can make using talk moves complex. The authors fuse Universal Design for Learning (UDL), differentiation, and talk moves into three key planning and pedagogy considerations.

Hunt, J. H., MacDonald, B., Lambert, R., Sugita, T., & Silva, J. (2018). Think, pair, show, share to increase classroom discourse. Teaching Children Mathematics (Focus Issue-Invited contribution), 25(2), 80-84.

This study sheds light on three teaching competencies: Pre-service teachers’ (PSTs’) professional noticing of student mathematical reasoning and strategies, their ability to assess the validity of student reasoning and strategies, and to select student strategy for class discussion. Our results reveal that PSTs with strong awareness of mathematically significant aspects of student reasoning and strategies (focused noticing) were better positioned to assess the validity of student reasoning and strategies.

In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district. Findings indicate that the associative property was often conflated with the commutative property during teaching. The role of the associative property in many computational tasks remained fully implicit, even after the property had been formally introduced.

This article focuses on the career paths in higher education taken by 351 doctoral graduates in mathematics education and provides insight into their career path and their resulting workload. Because some of the sample is drawn from graduates of programs with NSF funding related to doctoral preparation, it represents a best-case scenario of doctoral preparation experiences.