Detecting SMART Model Cognitive Operations in Mathematical Problem-Solving Process

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Title: Detecting SMART Model Cognitive Operations in Mathematical Problem-Solving Process
Language: English
Authors: Zhang, Jiayi, Andres, Juliana Ma. Alexandra L., Hutt, Stephen, Baker, Ryan S., Ocumpaugh, Jaclyn, Mills, Caitlin, Brooks, Jamiella, Sethuraman, Sheela, Young, Tyron
Source: International Educational Data Mining Society. 2022.
Availability: International Educational Data Mining Society. e-mail: admin@educationaldatamining.org; Web site: https://educationaldatamining.org/conferences/
Peer Reviewed: Y
Page Count: 11
Publication Date: 2022
Document Type: Speeches/Meeting Papers
Reports - Research
Education Level: Junior High Schools
Middle Schools
Secondary Education
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Metacognition, Learning Strategies, Guidelines, Protocol Analysis, Models, Learning Analytics, Integrated Learning Systems, Scaffolding (Teaching Technique), Peer Relationship, Measurement, Middle School Students
Abstract: Self-regulated learning (SRL) is a critical component of mathematics problem solving. Students skilled in SRL are more likely to effectively set goals, search for information, and direct their attention and cognitive process so that they align their efforts with their objectives. An influential framework for SRL, the SMART model, proposes that five cognitive operations (i.e., searching, monitoring, assembling, rehearsing, and translating) play a key role in SRL. However, these categories encompass a wide range of behaviors, making measurement challenging -- often involving observing individual students and recording their think-aloud activities or asking students to complete labor-intensive tagging activities as they work. In the current study, we develop machine-learned indicators of SMART operations, in order to achieve better scalability than other measurement approaches. We analyzed student's textual responses and interaction data collected from a mathematical learning platform where students are asked to thoroughly explain their solutions and are scaffolded in communicating their problem-solving process to their peers and teachers. We built detectors of four indicators of SMART operations (namely, assembling and translating operations). Our detectors are found to be reliable and generalizable, with AUC ROCs ranging from 0.76-0.89. When applied to the full test set, the detectors are robust against algorithmic bias, performing well across different student populations. [For the full proceedings, see ED623995.]
Abstractor: As Provided
Entry Date: 2022
Accession Number: ED624069
Database: ERIC
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Jiayi%22">Zhang, Jiayi</searchLink><br /><searchLink fieldCode="AR" term="%22Andres%2C+Juliana+Ma%2E+Alexandra+L%2E%22">Andres, Juliana Ma. Alexandra L.</searchLink><br /><searchLink fieldCode="AR" term="%22Hutt%2C+Stephen%22">Hutt, Stephen</searchLink><br /><searchLink fieldCode="AR" term="%22Baker%2C+Ryan+S%2E%22">Baker, Ryan S.</searchLink><br /><searchLink fieldCode="AR" term="%22Ocumpaugh%2C+Jaclyn%22">Ocumpaugh, Jaclyn</searchLink><br /><searchLink fieldCode="AR" term="%22Mills%2C+Caitlin%22">Mills, Caitlin</searchLink><br /><searchLink fieldCode="AR" term="%22Brooks%2C+Jamiella%22">Brooks, Jamiella</searchLink><br /><searchLink fieldCode="AR" term="%22Sethuraman%2C+Sheela%22">Sethuraman, Sheela</searchLink><br /><searchLink fieldCode="AR" term="%22Young%2C+Tyron%22">Young, Tyron</searchLink>
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  Data: <searchLink fieldCode="SO" term="%22International+Educational+Data+Mining+Society%22"><i>International Educational Data Mining Society</i></searchLink>. 2022.
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  Data: International Educational Data Mining Society. e-mail: admin@educationaldatamining.org; Web site: https://educationaldatamining.org/conferences/
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  Data: <searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+Solving%22">Problem Solving</searchLink><br /><searchLink fieldCode="DE" term="%22Metacognition%22">Metacognition</searchLink><br /><searchLink fieldCode="DE" term="%22Learning+Strategies%22">Learning Strategies</searchLink><br /><searchLink fieldCode="DE" term="%22Guidelines%22">Guidelines</searchLink><br /><searchLink fieldCode="DE" term="%22Protocol+Analysis%22">Protocol Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Models%22">Models</searchLink><br /><searchLink fieldCode="DE" term="%22Learning+Analytics%22">Learning Analytics</searchLink><br /><searchLink fieldCode="DE" term="%22Integrated+Learning+Systems%22">Integrated Learning Systems</searchLink><br /><searchLink fieldCode="DE" term="%22Scaffolding+%28Teaching+Technique%29%22">Scaffolding (Teaching Technique)</searchLink><br /><searchLink fieldCode="DE" term="%22Peer+Relationship%22">Peer Relationship</searchLink><br /><searchLink fieldCode="DE" term="%22Measurement%22">Measurement</searchLink><br /><searchLink fieldCode="DE" term="%22Middle+School+Students%22">Middle School Students</searchLink>
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  Data: Self-regulated learning (SRL) is a critical component of mathematics problem solving. Students skilled in SRL are more likely to effectively set goals, search for information, and direct their attention and cognitive process so that they align their efforts with their objectives. An influential framework for SRL, the SMART model, proposes that five cognitive operations (i.e., searching, monitoring, assembling, rehearsing, and translating) play a key role in SRL. However, these categories encompass a wide range of behaviors, making measurement challenging -- often involving observing individual students and recording their think-aloud activities or asking students to complete labor-intensive tagging activities as they work. In the current study, we develop machine-learned indicators of SMART operations, in order to achieve better scalability than other measurement approaches. We analyzed student's textual responses and interaction data collected from a mathematical learning platform where students are asked to thoroughly explain their solutions and are scaffolded in communicating their problem-solving process to their peers and teachers. We built detectors of four indicators of SMART operations (namely, assembling and translating operations). Our detectors are found to be reliable and generalizable, with AUC ROCs ranging from 0.76-0.89. When applied to the full test set, the detectors are robust against algorithmic bias, performing well across different student populations. [For the full proceedings, see ED623995.]
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    Languages:
      – Text: English
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      Pagination:
        PageCount: 11
    Subjects:
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Teaching Methods
        Type: general
      – SubjectFull: Problem Solving
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      – SubjectFull: Metacognition
        Type: general
      – SubjectFull: Learning Strategies
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      – SubjectFull: Guidelines
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      – SubjectFull: Protocol Analysis
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      – SubjectFull: Models
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      – SubjectFull: Integrated Learning Systems
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      – SubjectFull: Scaffolding (Teaching Technique)
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      – SubjectFull: Peer Relationship
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      – SubjectFull: Measurement
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      – SubjectFull: Middle School Students
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      – TitleFull: Detecting SMART Model Cognitive Operations in Mathematical Problem-Solving Process
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