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Award Abstract # 1832880
Collaborative Research: PIQL: Physics Inventory of Quantitative Literacy

NSF Org: DUE
Division Of Undergraduate Education
Recipient: ROWAN UNIVERSITY
Initial Amendment Date: August 13, 2018
Latest Amendment Date: August 13, 2018
Award Number: 1832880
Award Instrument: Standard Grant
Program Manager: R. Corby Hovis
chovis@nsf.gov
 (703)292-4625
DUE
 Division Of Undergraduate Education
EDU
 Directorate for STEM Education
Start Date: October 1, 2018
End Date: September 30, 2022 (Estimated)
Total Intended Award Amount: $46,553.00
Total Awarded Amount to Date: $46,553.00
Funds Obligated to Date: FY 2018 = $46,553.00
History of Investigator:
  • Trevor Smith (Principal Investigator)
    smithtr@rowan.edu
Recipient Sponsored Research Office: Rowan University
201 MULLICA HILL RD
GLASSBORO
NJ  US  08028-1702
(856)256-4057
Sponsor Congressional District: 01
Primary Place of Performance: Rowan University
Glassboro
NJ  US  08028-1701
Primary Place of Performance
Congressional District:
01
Unique Entity Identifier (UEI): DMDEQP66JL85
Parent UEI:
NSF Program(s): IUSE
Primary Program Source: 04001819DB NSF Education & Human Resource
Program Reference Code(s): 8209, 9178
Program Element Code(s): 199800
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.076

ABSTRACT

To improve physics teaching and learning, it is important to have validated and standardized assessment tools to measure students' quantitative literacy in physics. To meet this need, this project will develop a valid and reliable multiple-choice assessment instrument to measure introductory physics students' quantitative literacy, a subcategory of mathematical reasoning. Quantitative literacy is a set of interconnected skills, attitudes, and habits of mind. Together, they support the sophisticated use of elementary mathematics to describe and understand the world. Sophisticated quantitative literacy is a foundation for work in science, technology, engineering, and mathematics (STEM) fields. Although development of quantitative reasoning is a goal of many introductory science courses, particularly physics, research suggests that students often have difficulty using mathematical reasoning to make sense of physical situations. However, it is not known if instruction in introductory-level physics helps students overcome this difficulty. The goal of this project is to develop and implement an instrument to assess how students' quantitative reasoning ability changes over time in an introductory physics course. Data from such an instrument could drive improvements in instruction to increase students? ability to conceptualize the mathematics that they do in physics. This instrument could also assess the efficacy of such instructional changes. In addition, the resulting instrument could be modified and exported to other math-based disciplines. In this way, it has the potential to improve understanding of how quantitative reasoning skills grow as students progress through their college curricula. Since these quantitative skills are core to students' success in physics and other STEM fields, this project could enhance student retention in STEM disciplines and broaden our STEM workforce in the United States.

An effective STEM workforce needs to possess quantitative literacy, which is the ability use numerical data in tabular or graphical form to make appropriate conclusions about its meaning. Developing these skills is an important objective of introductory physics. However, few research studies have been published about the effect of instruction on students' development of physics quantitative literacy (PQL). The proposed research will fill this gap by developing the Physics Inventory of Quantitative Literacy (PIQL), a multiple-choice assessment instrument. The project team will develop the PIQL in the context of a multi-course introductory physics sequence. They will then develop and pilot statistical methods to measure and evaluate students' growth in three components of PQL: reasoning about ratios and proportions, reasoning about negative quantities, and reasoning about co-variation between quantities. Various psychometric analyses will be used to ensure that the PIQL is both valid and reliable. (A valid instrument accurately measures students' PQL. A reliable instrument measures PQL consistently across different student populations.) Another major goal of the project is to use statistical analyses to develop a scoring model that quantifies growth, not just mastery, by incorporating the rich information contained in students' incorrect answers. This project will address the critical need for a valid and reliable instrument to measure student PQL in the introductory physics curriculum, and to assess its growth. The project will facilitate the improvement of sophisticated quantitative literacy as an educational outcome in physics classes. Furthermore, the results will provide a model for assessing quantitative literacy in other STEM disciplines.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 17)
Boudreaux, Andrew and Kanim, Stephen E. and Olsho, Alexis and Brahmia, Suzanne White and Zimmerman, Charlotte and Smith, Trevor I. "Toward a framework for the natures of proportional reasoning in introductory physics" 2020 Physics Education Research Conference , 2020 https://doi.org/10.1119/perc.2020.pr.Boudreaux Citation Details
Brahmia, Suzanne White and Olsho, Alexis and Smith, Trevor I. and Boudreaux, Andrew "Natures of Negativity in Introductory Physics" Physics Education Research Conference 2018 , 2019 https://doi.org/10.1119/perc.2018.pr.Brahmia Citation Details
Olsho, Alexis and Brahmia, Suzanne White and Smith, Trevor and Boudreaux, Andrew "When Negative Is Not Less than Zero: Electric Charge as a Signed Quantity" The Physics Teacher , v.59 , 2021 https://doi.org/10.1119/10.0004149 Citation Details
Olsho, Alexis and Brahmia, Suzanne White and Zimmerman, Charlotte and Smith, Trevor I. and Eaton, Philip and Boudreaux, Andrew "Online administration of a reasoning inventory in development" 2020 Physics Education Research Conference , 2020 https://doi.org/10.1119/perc.2020.pr.Olsho Citation Details
Olsho, Alexis and Smith, Trevor I and Eaton, Philip and Zimmerman, Charlotte and Boudreaux, Andrew and White_Brahmia, Suzanne "Online test administration results in students selecting more responses to multiple-choice-multiple-response items" Physical Review Physics Education Research , v.19 , 2023 https://doi.org/10.1103/PhysRevPhysEducRes.19.013101 Citation Details
Olsho, Alexis and White Brahmia, Suzanne and Boudreaux, Andrew and Smith, Trevor I. "The Physics Inventory of Quantitative Reasoning: Assessing Student Reasoning About Sign" Proceedings of the 22nd Annual Conference on Research in Undergraduate Mathematics Education , 2019 Citation Details
Olsho, Alexis and Zimmerman, Charlotte and Boudreaux, Andrew and Smith, Trevor I. and Eaton, Philip and White Brahmia, Suzanne "Characterizing covariational reasoning in physics modeling" Characterizing covariational reasoning in physics modeling , 2022 https://doi.org/10.1119/perc.2022.pr.Olsho Citation Details
Smith, Trevor I. and Eaton, Philip and Brahmia, Suzanne White and Olsho, Alexis and Zimmerman, Charlotte and Boudreaux, Andrew "Toward a valid instrument for measuring physics quantitative literacy" 2020 Physics Education Research Conference , 2020 https://doi.org/10.1119/perc.2020.pr.Smith_T Citation Details
Smith, Trevor I. and Eaton, Philip and White Brahmia, Suzanne and Olsho, Alexis and Zimmerman, Charlotte and Boudreaux, Andrew "Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory" Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory , 2022 https://doi.org/10.1119/perc.2022.pr.Smith Citation Details
Smith, Trevor I and White Brahmia, Suzanne and Olsho, Alexis and Boudreaux, Andrew "Physics Students Implicit Connections Between Mathematical Ideas" Proceedings of the 23rd Annual Conference on Research in Undergraduate Mathematics Education , 2020 Citation Details
Smith, Trevor I. and White Brahmia, Suzanne and Olsho, Alexis and Boudreaux, Andrew "Developing a Reasoning Inventory for Measuring Physics Quantitative Literacy" Proceedings of the 22nd Annual Conference on Research in Undergraduate Mathematics Education , 2019 Citation Details
(Showing: 1 - 10 of 17)

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

This project focused on development of the Physics Inventory of Quantitative Literacy (PIQL), a 20-item multiple choice instrument to assess quantitative reasoning in introductory physics contexts.  

 

Intellectual Merit:

This instrument helps to fill a gap in the assessment toolkit for physics education research, which has historically emphasized conceptual understanding much more than quantitative reasoning.  The PIQL provides a tool for researchers to characterize the development of quantitative literacy in physics courses. We have established strong evidence for the validity of the PIQL in the calculus-based introductory physics course sequence.  

 

Funding from the National Science Foundation has supported quantitative data collection and analysis to develop an argument for validity.  This has included:

  • administering PIQL to large numbers of introductory physics students, 

  • categorizing responses dichotomously as correct or incorrect, 

  • counting the number of items each student answered correctly to determine a total score, and 

  • using descriptive and inferential statistics to compare student populations (by level of instruction, demographic factors, etc.) 

In accordance with research-based best practices for developing assessment instruments, we have developed and refined all PIQL items to ensure that each incorrect response option is associated with a well-documented student idea. 

 

A recently published journal article describing the development of the PIQL and the evidence for its validity was selected as an Editors' Suggestion in Physical Review Physics Education Research, an honor reserved for only a small fraction of articles submitted to the premier journal for physics education research. Additionally, the current validated version of the PIQL is available for interested instructors on the PhysPort website.

 

This project has resulted in 40 scholarly presentations, four peer-reviewed journal articles, and 16 publications in peer-reviewed conference proceedings. In addition to developing the PIQL, two important theoretical frameworks have emerged from this work, for exploring the natures of signs and signed quantities and for characterizing covariational reasoning in introductory physics contexts.

 

Broader Impacts:

The development and dissemination of the PIQL provides instructors the means to systematically measure students' quantitative reasoning in the context of physics. A measure of this type has not previously been available. With this tool, instructors can track the development of their students? reasoning facility over time, and can evaluate the impact of instructional interventions targeted at improving quantitative reasoning.

 

Impact on students involved. One postdoc has conducted research on this grant, establishing a publication record different from their dissertation work, in addition to obtaining supplemental funding for the project from the NSF. Two graduate students (one Masters and one Doctoral) conducted their dissertation research and extended their work beyond the scope of this grant. Thirty-four undergraduate students have engaged in authentic research experiences associated with this grant. Their work has been presented at local, regional and national conferences, and published in peer-reviewed conference proceedings. The PIQL project provided experiences to these students that are vital for helping develop their research trajectories, collaboration, and communication skills. 

 

Broadening access to research-validated assessment for course improvement. This project, originally focused on introductory calculus-based physics courses, gave rise to an algebra-based version of the instrument, the Generalized Equation-based Reasoning inventory for Quantity and Negativity (GERQN), currently under development. The GERQN can be used with a broader population of students at a variety of institutions, including pre-college students.


Characterizing opportunity windows for teacher professional development. This work ignited a collaboration that explores PQL similarities and differences between study subjects in the US and in Belgium, sampling STEM preservice and in-service teachers, and providing research projects for Belgian graduate students.

 

 


Last Modified: 12/19/2022
Modified by: Trevor I Smith

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