# A new assessment of mathematical reasoning development in physics instruction

Date: Thursday, April 4, 2019

Time: 4:00pm

Location: 100 Willamette Hall

Speaker: Suzanne White Brahmia Department of Physics, University of Washington

Abstract: Mathematical reasoning flexibility across physics contexts is a desirable learning outcome of introductory physics, where the “math world” and “physical world” meet, yet research on upper division physics students reveals that majors continue to struggle making sense of the sophisticated ways that physics uses simple mathematics. Physics Quantitative Literacy (PQL) is a set of interconnected skills and habits of mind that support quantitative reasoning about the physical world. We present the PIQL, Physics Inventory of Quantitative Literacy, which is currently under development in a multi-institution collaboration. PIQL assesses students’ proportional reasoning, co-variational reasoning, and reasoning with signed quantities as they are used in physics. Unlike *concept* inventories, which assess conceptual mastery of specific physics ideas, PIQL is a *reasoning* inventory that can provide snapshots of student ideas that are continuously developing. Item distractors are constructed based on the different established natures of the mathematical objects in physics contexts (e.g. the negative sign as a descriptor of charge type and the negative sign as indicator of opposition in Hooke’s law). An analysis of student responses on PIQL will allow for assessment of hierarchical reasoning patterns, and thereby potentially map the emergence of mathematical reasoning flexibility throughout the introductory sequence, and beyond.

NSF DUE-IUSE # 1832836

Host: Stanley Micklavzina

All attendees are invited to attend a colloquium reception in the Willamette Hall, Paul Olum atrium at 3:40pm.