Award Abstract # 2327398
Leveraging Pedagogical Comparisons in Mathematical Thinking and Learning

NSF Org: DGE
Division Of Graduate Education
Recipient: UNIVERSITY OF CALIFORNIA IRVINE
Initial Amendment Date: September 11, 2023
Latest Amendment Date: September 11, 2023
Award Number: 2327398
Award Instrument: Standard Grant
Program Manager: Eric Knuth
eknuth@nsf.gov
 (703)292-8402
DGE
 Division Of Graduate Education
EDU
 Directorate for STEM Education
Start Date: September 15, 2023
End Date: August 31, 2025 (Estimated)
Total Intended Award Amount: $328,554.00
Total Awarded Amount to Date: $328,554.00
Funds Obligated to Date: FY 2023 = $328,554.00
History of Investigator:
  • Hongyang Zhao (Principal Investigator)
    zhaoh23@uci.edu
Recipient Sponsored Research Office: University of California-Irvine
160 ALDRICH HALL
IRVINE
CA  US  92697-0001
(949)824-7295
Sponsor Congressional District: 47
Primary Place of Performance: University of California, Irvine
Irvine
CA  US  92697-0001
Primary Place of Performance
Congressional District:
47
Unique Entity Identifier (UEI): MJC5FCYQTPE6
Parent UEI: MJC5FCYQTPE6
NSF Program(s): Postdoctoral Fellowships
Primary Program Source: 04002324DB NSF STEM Education
Program Reference Code(s): 8817
Program Element Code(s): 713700
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.076

ABSTRACT

The primary goal of this project is to help students improve their relational reasoning, that is, a way of attending to and recognizing relations, including commonalities and differences, between mathematical objects and concepts. Relational reasoning has been shown to support learners in developing their problem-solving skills, skills that are helpful not only in mathematics, but also in subjects like science, engineering, and healthcare, where strong reasoning skills are important for learning and problem solving. The project studies aim to identify instructional supports that help students develop a ?relational mindset? as well as to enhance their conceptual flexibility in problem solving.

Drawing on cognitive science literature on relational reasoning, the project includes three experimental studies designed to test whether directing students' attention toward relations can foster a relational mindset and consequently enhance students' conceptual flexibility. The studies include a) explicitly directing students? attention to mathematical relations through classroom discourse; b) implicitly priming relational attention through completing a relevant task; and c) engaging students in antithetical thinking during practice. Analyses will include both descriptive analyses and multiple regression analyses. Study results will provide insights into effective instructional approaches designed to foster students? attention to and interaction with mathematical relations.

This project is funded by the STEM Education Postdoctoral Research Fellowship (STEM Ed PRF) program that aims to enhance the research knowledge, skills, and practices of recent doctorates in STEM, STEM education, education, and related disciplines to advance their preparation to engage in fundamental and applied research that advances knowledge within the field.

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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Zhao, Hongyang and Alexander, Patricia A "Investigating a Novel Approach to Assessing Vocabulary Knowledge" The Journal of Experimental Education , 2024 https://doi.org/10.1080/00220973.2024.2382486 Citation Details

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