High School Student Levels of Arithmetic Knowledge When Solving Additive Word Problems: ? Case Study

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Title: High School Student Levels of Arithmetic Knowledge When Solving Additive Word Problems: ? Case Study
Language: English
Authors: Camilo Andrés Rodríguez-Nieto (ORCID 0000-0001-9922-4079), José David Cabarcas-Jiménez (ORCID 0000-0002-3990-5857), Adriana Lucía Sarmiento-Reales (ORCID 0000-0002-6073-5370), Benilda María Cantillo-Rudas (ORCID 0009-0006-6431-3526), Jesús David Berrio-Valbuena (ORCID 0000-0002-4014-5322), Sudirman Sudirman (ORCID 0000-0002-1696-5160), Angela Castro Inostroza (ORCID 0000-0002-1732-6520)
Source: International Electronic Journal of Mathematics Education. 2025 20(3).
Availability: International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
Peer Reviewed: Y
Page Count: 16
Publication Date: 2025
Document Type: Journal Articles
Reports - Research
Education Level: High Schools
Secondary Education
Elementary Education
Grade 8
Junior High Schools
Middle Schools
Descriptors: Problem Solving, Arithmetic, Mathematics Instruction, Addition, Comparative Analysis, Student Attitudes, Grade 8, Word Problems (Mathematics), Difficulty Level, Foreign Countries, Semantics, Syntax
Geographic Terms: Colombia
ISSN: 1306-3030
Abstract: The level of arithmetic knowledge of a high school student was explored when solving additive word problems considering the semantic structure and syntactic component. The methodology was qualitative and developed in four stages: the first is the selection of the participant, the second is the design of a questionnaire with twenty additive problems, the third is the application of the semi-structured interview and questionnaire for the student to solve, and the fourth is the analysis of the data to identify the arithmetic knowledge. The results show that the student is at level 4 (directional relations level) solving comparison and equalization problems. However, he had difficulty in one of the comparison problems (incorrect application of the operation), but successfully solved the change, combination and equalization problems. It is concluded that the student can reinforce the comparison structure to have arithmetic knowledge of level 4 in its entirety.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1469691
Database: ERIC
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  Availability: 0
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  Data: High School Student Levels of Arithmetic Knowledge When Solving Additive Word Problems: ? Case Study
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  Data: <searchLink fieldCode="AR" term="%22Camilo+Andrés+Rodríguez-Nieto%22">Camilo Andrés Rodríguez-Nieto</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-9922-4079">0000-0001-9922-4079</externalLink>)<br /><searchLink fieldCode="AR" term="%22José+David+Cabarcas-Jiménez%22">José David Cabarcas-Jiménez</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-3990-5857">0000-0002-3990-5857</externalLink>)<br /><searchLink fieldCode="AR" term="%22Adriana+Lucía+Sarmiento-Reales%22">Adriana Lucía Sarmiento-Reales</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-6073-5370">0000-0002-6073-5370</externalLink>)<br /><searchLink fieldCode="AR" term="%22Benilda+María+Cantillo-Rudas%22">Benilda María Cantillo-Rudas</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0006-6431-3526">0009-0006-6431-3526</externalLink>)<br /><searchLink fieldCode="AR" term="%22Jesús+David+Berrio-Valbuena%22">Jesús David Berrio-Valbuena</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-4014-5322">0000-0002-4014-5322</externalLink>)<br /><searchLink fieldCode="AR" term="%22Sudirman+Sudirman%22">Sudirman Sudirman</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-1696-5160">0000-0002-1696-5160</externalLink>)<br /><searchLink fieldCode="AR" term="%22Angela+Castro+Inostroza%22">Angela Castro Inostroza</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-1732-6520">0000-0002-1732-6520</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22International+Electronic+Journal+of+Mathematics+Education%22"><i>International Electronic Journal of Mathematics Education</i></searchLink>. 2025 20(3).
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  Data: International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
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  Data: Y
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  Data: 16
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  Data: <searchLink fieldCode="EL" term="%22High+Schools%22">High Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Secondary+Education%22">Secondary Education</searchLink><br /><searchLink fieldCode="EL" term="%22Elementary+Education%22">Elementary Education</searchLink><br /><searchLink fieldCode="EL" term="%22Grade+8%22">Grade 8</searchLink><br /><searchLink fieldCode="EL" term="%22Junior+High+Schools%22">Junior High Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Middle+Schools%22">Middle Schools</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Problem+Solving%22">Problem Solving</searchLink><br /><searchLink fieldCode="DE" term="%22Arithmetic%22">Arithmetic</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Addition%22">Addition</searchLink><br /><searchLink fieldCode="DE" term="%22Comparative+Analysis%22">Comparative Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Student+Attitudes%22">Student Attitudes</searchLink><br /><searchLink fieldCode="DE" term="%22Grade+8%22">Grade 8</searchLink><br /><searchLink fieldCode="DE" term="%22Word+Problems+%28Mathematics%29%22">Word Problems (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Difficulty+Level%22">Difficulty Level</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink><br /><searchLink fieldCode="DE" term="%22Semantics%22">Semantics</searchLink><br /><searchLink fieldCode="DE" term="%22Syntax%22">Syntax</searchLink>
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  Label: Geographic Terms
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  Data: <searchLink fieldCode="DE" term="%22Colombia%22">Colombia</searchLink>
– Name: ISSN
  Label: ISSN
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  Data: 1306-3030
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The level of arithmetic knowledge of a high school student was explored when solving additive word problems considering the semantic structure and syntactic component. The methodology was qualitative and developed in four stages: the first is the selection of the participant, the second is the design of a questionnaire with twenty additive problems, the third is the application of the semi-structured interview and questionnaire for the student to solve, and the fourth is the analysis of the data to identify the arithmetic knowledge. The results show that the student is at level 4 (directional relations level) solving comparison and equalization problems. However, he had difficulty in one of the comparison problems (incorrect application of the operation), but successfully solved the change, combination and equalization problems. It is concluded that the student can reinforce the comparison structure to have arithmetic knowledge of level 4 in its entirety.
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  Data: As Provided
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  Data: 2025
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  Data: EJ1469691
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    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 16
    Subjects:
      – SubjectFull: Problem Solving
        Type: general
      – SubjectFull: Arithmetic
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Addition
        Type: general
      – SubjectFull: Comparative Analysis
        Type: general
      – SubjectFull: Student Attitudes
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      – SubjectFull: Grade 8
        Type: general
      – SubjectFull: Word Problems (Mathematics)
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      – SubjectFull: Difficulty Level
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      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Semantics
        Type: general
      – SubjectFull: Syntax
        Type: general
      – SubjectFull: Colombia
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      – TitleFull: High School Student Levels of Arithmetic Knowledge When Solving Additive Word Problems: ? Case Study
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