Award Abstract # 2200781
How multi-digit number names guide attention, memory, and place value learning en early elementary mathematics

NSF Org: DRL
Division of Research on Learning in Formal and Informal Settings (DRL)
Recipient: THE REGENTS OF THE UNIVERSITY OF COLORADO
Initial Amendment Date: June 16, 2022
Latest Amendment Date: June 16, 2022
Award Number: 2200781
Award Instrument: Standard Grant
Program Manager: Margret Hjalmarson
mhjalmar@nsf.gov
 (703)292-5186
DRL
 Division of Research on Learning in Formal and Informal Settings (DRL)
EDU
 Directorate for STEM Education
Start Date: July 1, 2022
End Date: June 30, 2026 (Estimated)
Total Intended Award Amount: $468,630.00
Total Awarded Amount to Date: $468,630.00
Funds Obligated to Date: FY 2022 = $468,630.00
History of Investigator:
  • Lei Yuan (Principal Investigator)
    lei.yuan@colorado.edu
Recipient Sponsored Research Office: University of Colorado at Boulder
3100 MARINE ST
Boulder
CO  US  80309-0001
(303)492-6221
Sponsor Congressional District: 02
Primary Place of Performance: University of Colorado at Boulder
Muenzinger D244
Boulder
CO  US  80303-1058
Primary Place of Performance
Congressional District:
02
Unique Entity Identifier (UEI): SPVKK1RC2MZ3
Parent UEI:
NSF Program(s): Discovery Research K-12
Primary Program Source: 04002223DB NSF Education & Human Resource
Program Reference Code(s):
Program Element Code(s): 764500
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.076

ABSTRACT

Learning numbers involves coordinating between number symbols, number names, ordering of digits, and the quantities they represent. Coordinating these ideas to understand the place value system in mathematics is a common challenge for students learning number in early elementary grades. It is a step on the way to learning number and operations topics in later mathematics, but also builds upon earlier knowledge of numbers. This project seeks to understand how children learn about place value by studying different representations of multi-digit numbers (written number symbols, heard number names) and how prior knowledge of number influences children?s? learning. Knowing more about multi-digit number learning will help to create teaching and curriculum resources that better support children?s learning. The Discovery Research preK-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.?

The exploratory project investigates the relationship between knowing multi-digit number names, written number symbols, and students? prior knowledge of place value. The project uses a series of experiments to study how early rudimentary understanding of multi-digit number symbols leads to differential in-the-moment gaze patterns during place value instruction. The project seeks to connect students? learning to instructional practice and prior knowledge. Three experimental studies will be conducted with kindergartners using eye-tracking, measures of students? knowledge and different instructional practices for representing multi-digit numbers. The findings should inform how multi-digit numbers could be described by teachers and how to best present them to students.

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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Bower, Corinne A. and Mix, Kelly S. and Hancock, Gregory R. and Yuan, Lei and Smith, Linda B. "Smart Errors in Learning Multidigit Number Meanings" Journal of Cognition and Development , 2024 https://doi.org/10.1080/15248372.2024.2338722 Citation Details
Mix, Kelly S. and Bower, Corinne A. and Yuan, Lei and Hancock, Gregory R. and Smith, Linda B. "Predictive relations between early place value understanding and multidigit calculation: approximate versus syntactic measures" Educational Psychology , v.43 , 2023 https://doi.org/10.1080/01443410.2023.2254528 Citation Details
Yuan, Lei "Beyond Learnability: Understanding Human Visual Development with DNNs" Trends in cognitive sciences , 2024 https://doi.org/10.1016/j.tics.2024.05.002 Citation Details
Yuan, Lei and Novack, Miriam and Uttal, David and Franconeri, Steven "Language systematizes attention: How relational language enhances relational representation by guiding attention" Cognition , v.243 , 2024 https://doi.org/10.1016/j.cognition.2023.105671 Citation Details

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