Effects of a Rubric for Mathematical Reasoning on Teaching and Learning in Primary School

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Title: Effects of a Rubric for Mathematical Reasoning on Teaching and Learning in Primary School
Language: English
Authors: Smit, Robbert (ORCID 0000-0002-9809-9656), Bachmann, Patricia, Blum, Verena, Birri, Thomas, Hess, Kurt
Source: Instructional Science: An International Journal of the Learning Sciences. Oct 2017 45(5):603-622.
Availability: Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Peer Reviewed: Y
Page Count: 20
Publication Date: 2017
Document Type: Journal Articles
Reports - Research
Education Level: Elementary Education
Descriptors: Scoring Rubrics, Mathematics Tests, Mathematics Skills, Abstract Reasoning, Quasiexperimental Design, Elementary School Mathematics, Grade 5, Grade 6, Comparative Analysis, Achievement Tests, Questionnaires, Intervention, Longitudinal Studies, Formative Evaluation, Feedback (Response), Self Evaluation (Individuals), Outcomes of Education, Self Efficacy, Foreign Countries, Statistical Analysis
Geographic Terms: Switzerland
DOI: 10.1007/s11251-017-9416-2
ISSN: 0020-4277
Abstract: Rubrics are assessment tools that help students gain complex competencies. Our quasi-experimental study aimed to evaluate whether rubrics help teachers teach and assess mathematical reasoning in primary school and whether such an instrument might support student learning. In two Swiss cantons, 762 students in 44 5th- and 6th-grade primary classes worked on their reasoning competencies, and half of them additionally employed our standards-based rubric. All of the teachers received a 1-day training and participated in the final project evaluation. To standardise and support the teachers during the implementation phase, they received a detailed curriculum. An achievement test and questionnaires for students and teachers were administered before and at the end of the intervention. The results of our quantitative longitudinal analyses indicate that the rubric fosters the teachers' perceived diagnostic skills but only indirectly impacts their use of formative feedback. Based on the students' perceptions, however, we observed a direct effect of the rubric on formative feedback and student self-assessment. Effects on students' outcomes could not be observed, but there are indications of effects mediated by self-regulation and self-efficacy.
Abstractor: As Provided
Number of References: 74
Entry Date: 2017
Accession Number: EJ1154116
Database: ERIC
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  Data: Effects of a Rubric for Mathematical Reasoning on Teaching and Learning in Primary School
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  Data: <searchLink fieldCode="AR" term="%22Smit%2C+Robbert%22">Smit, Robbert</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0002-9809-9656">0000-0002-9809-9656</externalLink>)<br /><searchLink fieldCode="AR" term="%22Bachmann%2C+Patricia%22">Bachmann, Patricia</searchLink><br /><searchLink fieldCode="AR" term="%22Blum%2C+Verena%22">Blum, Verena</searchLink><br /><searchLink fieldCode="AR" term="%22Birri%2C+Thomas%22">Birri, Thomas</searchLink><br /><searchLink fieldCode="AR" term="%22Hess%2C+Kurt%22">Hess, Kurt</searchLink>
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  Data: Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
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  Data: Y
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  Data: 20
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  Data: Journal Articles<br />Reports - Research
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  Data: <searchLink fieldCode="DE" term="%22Scoring+Rubrics%22">Scoring Rubrics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Tests%22">Mathematics Tests</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Skills%22">Mathematics Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Abstract+Reasoning%22">Abstract Reasoning</searchLink><br /><searchLink fieldCode="DE" term="%22Quasiexperimental+Design%22">Quasiexperimental Design</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+School+Mathematics%22">Elementary School Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Grade+5%22">Grade 5</searchLink><br /><searchLink fieldCode="DE" term="%22Grade+6%22">Grade 6</searchLink><br /><searchLink fieldCode="DE" term="%22Comparative+Analysis%22">Comparative Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Achievement+Tests%22">Achievement Tests</searchLink><br /><searchLink fieldCode="DE" term="%22Questionnaires%22">Questionnaires</searchLink><br /><searchLink fieldCode="DE" term="%22Intervention%22">Intervention</searchLink><br /><searchLink fieldCode="DE" term="%22Longitudinal+Studies%22">Longitudinal Studies</searchLink><br /><searchLink fieldCode="DE" term="%22Formative+Evaluation%22">Formative Evaluation</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+%28Response%29%22">Feedback (Response)</searchLink><br /><searchLink fieldCode="DE" term="%22Self+Evaluation+%28Individuals%29%22">Self Evaluation (Individuals)</searchLink><br /><searchLink fieldCode="DE" term="%22Outcomes+of+Education%22">Outcomes of Education</searchLink><br /><searchLink fieldCode="DE" term="%22Self+Efficacy%22">Self Efficacy</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+Analysis%22">Statistical Analysis</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Switzerland%22">Switzerland</searchLink>
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  Data: 10.1007/s11251-017-9416-2
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  Data: 0020-4277
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  Data: Rubrics are assessment tools that help students gain complex competencies. Our quasi-experimental study aimed to evaluate whether rubrics help teachers teach and assess mathematical reasoning in primary school and whether such an instrument might support student learning. In two Swiss cantons, 762 students in 44 5th- and 6th-grade primary classes worked on their reasoning competencies, and half of them additionally employed our standards-based rubric. All of the teachers received a 1-day training and participated in the final project evaluation. To standardise and support the teachers during the implementation phase, they received a detailed curriculum. An achievement test and questionnaires for students and teachers were administered before and at the end of the intervention. The results of our quantitative longitudinal analyses indicate that the rubric fosters the teachers' perceived diagnostic skills but only indirectly impacts their use of formative feedback. Based on the students' perceptions, however, we observed a direct effect of the rubric on formative feedback and student self-assessment. Effects on students' outcomes could not be observed, but there are indications of effects mediated by self-regulation and self-efficacy.
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  Label: Abstractor
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  Data: 2017
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PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1154116
RecordInfo BibRecord:
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        Value: 10.1007/s11251-017-9416-2
    Languages:
      – Text: English
    PhysicalDescription:
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      – SubjectFull: Scoring Rubrics
        Type: general
      – SubjectFull: Mathematics Tests
        Type: general
      – SubjectFull: Mathematics Skills
        Type: general
      – SubjectFull: Abstract Reasoning
        Type: general
      – SubjectFull: Quasiexperimental Design
        Type: general
      – SubjectFull: Elementary School Mathematics
        Type: general
      – SubjectFull: Grade 5
        Type: general
      – SubjectFull: Grade 6
        Type: general
      – SubjectFull: Comparative Analysis
        Type: general
      – SubjectFull: Achievement Tests
        Type: general
      – SubjectFull: Questionnaires
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        Type: general
      – SubjectFull: Longitudinal Studies
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      – SubjectFull: Feedback (Response)
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      – SubjectFull: Outcomes of Education
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      – SubjectFull: Statistical Analysis
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      – SubjectFull: Switzerland
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    Titles:
      – TitleFull: Effects of a Rubric for Mathematical Reasoning on Teaching and Learning in Primary School
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            – TitleFull: Instructional Science: An International Journal of the Learning Sciences
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