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Geometric Reasoning to Reinventing Quadratic Formula: The Learning Trajectory on Realistic Mathematics Education Principles

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Title: Geometric Reasoning to Reinventing Quadratic Formula: The Learning Trajectory on Realistic Mathematics Education Principles
Language: English
Authors: Sani Sahara, Dadang Juandi, Turmudi Turmudi, Agus Hendriyanto, Lukman Hakim Muhaimin, Matawal D. Bulus
Source: Mathematics Teaching Research Journal. 2024 16(3):164-196.
Availability: City University of New York. Creative Commons. 205 East 42 Street, New York, NY 10017. Web site: https://mtrj.commons.gc.cuny.edu/
Peer Reviewed: Y
Page Count: 33
Publication Date: 2024
Document Type: Journal Articles
Reports - Research
Education Level: Junior High Schools
Middle Schools
Secondary Education
Descriptors: Foreign Countries, Junior High School Students, Middle School Mathematics, Geometry, Geometric Concepts, Learning Trajectories, Mathematical Concepts, Mathematical Formulas, Instructional Design, Learning Activities, Student Educational Objectives, Mathematics Instruction, Thinking Skills
Geographic Terms: Indonesia
ISSN: 2573-4377
Abstract: This study aims to establish a knowledge base on how to support students in learning. We develop an initial hypothetical learning trajectory by formulating learning activities and predicting the development of students' thinking and understanding. The methodological framework employed in this study is design research, which seeks to generate actionable knowledge for achieving various educational goals through design. The design process incorporates the Hypothetical Learning Trajectory (HLT) thought experiment and the teaching experiment based on the six Realistic Mathematics Education (RME) principles. By integrating individual learning activities with the context and principles of the RME approach, students can construct their knowledge and rediscover the quadratic equation formula. Through comparing the HLT with observed learning outcomes, we redesign the process, revise our HLT, and provide answers to research questions regarding the attainment of specific learning objectives. Similar to our retrospective data analysis, we create a revised HLT to reinforce the concept of the completing the square and reinvent the quadratic formula.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1442295
Database: ERIC
FullText Text:
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  Data: Geometric Reasoning to Reinventing Quadratic Formula: The Learning Trajectory on Realistic Mathematics Education Principles
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  Data: <searchLink fieldCode="AR" term="%22Sani+Sahara%22">Sani Sahara</searchLink><br /><searchLink fieldCode="AR" term="%22Dadang+Juandi%22">Dadang Juandi</searchLink><br /><searchLink fieldCode="AR" term="%22Turmudi+Turmudi%22">Turmudi Turmudi</searchLink><br /><searchLink fieldCode="AR" term="%22Agus+Hendriyanto%22">Agus Hendriyanto</searchLink><br /><searchLink fieldCode="AR" term="%22Lukman+Hakim+Muhaimin%22">Lukman Hakim Muhaimin</searchLink><br /><searchLink fieldCode="AR" term="%22Matawal+D%2E+Bulus%22">Matawal D. Bulus</searchLink>
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  Data: <searchLink fieldCode="SO" term="%22Mathematics+Teaching+Research+Journal%22"><i>Mathematics Teaching Research Journal</i></searchLink>. 2024 16(3):164-196.
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  Data: City University of New York. Creative Commons. 205 East 42 Street, New York, NY 10017. Web site: https://mtrj.commons.gc.cuny.edu/
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  Data: 33
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  Data: This study aims to establish a knowledge base on how to support students in learning. We develop an initial hypothetical learning trajectory by formulating learning activities and predicting the development of students' thinking and understanding. The methodological framework employed in this study is design research, which seeks to generate actionable knowledge for achieving various educational goals through design. The design process incorporates the Hypothetical Learning Trajectory (HLT) thought experiment and the teaching experiment based on the six Realistic Mathematics Education (RME) principles. By integrating individual learning activities with the context and principles of the RME approach, students can construct their knowledge and rediscover the quadratic equation formula. Through comparing the HLT with observed learning outcomes, we redesign the process, revise our HLT, and provide answers to research questions regarding the attainment of specific learning objectives. Similar to our retrospective data analysis, we create a revised HLT to reinforce the concept of the completing the square and reinvent the quadratic formula.
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    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 33
        StartPage: 164
    Subjects:
      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Junior High School Students
        Type: general
      – SubjectFull: Middle School Mathematics
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      – SubjectFull: Geometry
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      – SubjectFull: Geometric Concepts
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      – SubjectFull: Learning Trajectories
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      – SubjectFull: Mathematical Concepts
        Type: general
      – SubjectFull: Mathematical Formulas
        Type: general
      – SubjectFull: Instructional Design
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      – SubjectFull: Learning Activities
        Type: general
      – SubjectFull: Student Educational Objectives
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      – SubjectFull: Mathematics Instruction
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      – SubjectFull: Thinking Skills
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      – SubjectFull: Indonesia
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      – TitleFull: Geometric Reasoning to Reinventing Quadratic Formula: The Learning Trajectory on Realistic Mathematics Education Principles
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            NameFull: Sani Sahara
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