Mathematics

Response process validity evidence provides a window into a respondent’s cognitive processing. The purpose of this study is to describe a new data collection tool called a whole-class think aloud (WCTA). This work is performed as part of test development for a series of problem-solving measures to be used in elementary and middle grades. Data from third-grade students were collected in a 1–1 think-aloud setting and compared to data from similar students as part of WCTAs. Findings indicated that students performed similarly on the items when the two think-aloud settings were compared.

Response process validity evidence provides a window into a respondent’s cognitive processing. The purpose of this study is to describe a new data collection tool called a whole-class think aloud (WCTA). This work is performed as part of test development for a series of problem-solving measures to be used in elementary and middle grades. Data from third-grade students were collected in a 1–1 think-aloud setting and compared to data from similar students as part of WCTAs. Findings indicated that students performed similarly on the items when the two think-aloud settings were compared.

The role of technology in STEM education remains unclear and needs stronger operational definition. In this paper, we explore the theoretical connection between STEM and emergent technologies, with a focus on learner behaviors and the potential of technology-mediated experiences with computational participation (CP) in shaping STEM learning. In particular, by de-emphasizing what technology is used and bringing renewed focus to how the technology is used, we make a case for CP as an epistemological and pedagogical approach that promotes collaborative STEM practices.

The role of technology in STEM education remains unclear and needs stronger operational definition. In this paper, we explore the theoretical connection between STEM and emergent technologies, with a focus on learner behaviors and the potential of technology-mediated experiences with computational participation (CP) in shaping STEM learning. In particular, by de-emphasizing what technology is used and bringing renewed focus to how the technology is used, we make a case for CP as an epistemological and pedagogical approach that promotes collaborative STEM practices.

The role of technology in STEM education remains unclear and needs stronger operational definition. In this paper, we explore the theoretical connection between STEM and emergent technologies, with a focus on learner behaviors and the potential of technology-mediated experiences with computational participation (CP) in shaping STEM learning. In particular, by de-emphasizing what technology is used and bringing renewed focus to how the technology is used, we make a case for CP as an epistemological and pedagogical approach that promotes collaborative STEM practices.

Learning goals differ from performance goals. We elaborate on their function and importance as the guiding force behind maintaining cognitive rigor during mathematics learning.

Hunt, J. & Stein, M. K. (2020). Constructing goals for student learning through conversation. Mathematics Teacher: Learning and Teaching PK-12, 113(11), 904-909.

One of the most relentless areas of difficulty in mathematics for children with learning disabilities (LDs) and difficulties is fractions. We report the development and initial testing of an intervention designed to increase access to and advancement in conceptual understanding. Our asset-based theory of change—a tested and confirmed learning trajectory of fraction concepts of students with LDs grounded in student-centered instruction—served as the basis for our multistage scientific design process.

Designed to be integrated with any curriculum, each grade level includes 18-20 one-hour lessons to be conducted throughout the school year. Each LEAP lesson lasts about an hour is designed to fit within a typical daily math instructional period.

LEAP early algebra curriculum for Grades K-5. Grades 3 and 4 currently available, with the remaining books for Grades K-2, 5 in press.

Blanton, M., Gardiner, A., Stephens, A., & Knuth, E. (2020). LEAP: Learning through an early algebra progression. Didax: Rowley, MA.

Background