Productive Connective Thinking Scheme in Mathematical Problem Solving.

The need to make connections in doing problem-solving has been the focus of many researchers. The purpose of this study was to describe the formation of productive connective thinking schemes when students do complete the phases of mathematical problem-solving. Schemes are formed through the phases...

Descripción completa

Detalles Bibliográficos
Publicado en:Pertanika Journal of Social Sciences & Humanities Vol. 28; no. 1; pp. 293 - 309
Autores principales: Turmudi, Susanti, Elly
Formato: Artículo
Publicado: Universiti Putra Malaysia Mar2020
Materias:
Acceso en línea:Ver este registro en EBSCOhost
fields @attributes:
  recordID: 1
pdfLink:
plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=142646878&site=ehost-live
header:
  @attributes:
    shortDbName: hlh
    uiTerm: 142646878
    longDbName: Humanities International Complete
    uiTag: AN
  controlInfo:
    bkinfo:
    jinfo:
      jid:
        01287702
        TKQ
      jtl: Pertanika Journal of Social Sciences & Humanities
      issn: 01287702
      maglogo: N
    pubinfo:
      dt: Mar2020
      vid: 28
      iid: 1
      pid: 20751
      pub: Universiti Putra Malaysia
    artinfo:
      ui: 142646878
      ppf: 293
      ppct: 16
      formats:
        fmt:
          @attributes:
            type: P
            size: 3MB
      tig:
        atl: Productive Connective Thinking Scheme in Mathematical Problem Solving.
      aug:
        au:
          Turmudi
          Susanti, Elly
        affil: Mathematics Education Departement, Universitas Islam Negeri Maulana Malik Ibrahim Malang, Malang, 65323, Indonesia
      su:
        Acquisition of data
        Mathematics education
        Secondary schools
        Cognition
        Thought & thinking
      sug:
        subj:
          Acquisition of data
          Mathematics education
          Secondary schools
          Cognition
          Thought & thinking
      keyword:
        Connective thinking schemes
        mathematical problem solving
        schemes
        thinking
      ab: The need to make connections in doing problem-solving has been the focus of many researchers. The purpose of this study was to describe the formation of productive connective thinking schemes when students do complete the phases of mathematical problem-solving. Schemes are formed through the phases of cognition, inference, formulation, and reconstruction. This qualitative study adopted several modes of data collection to triangulate data to ensure the validity of the findings. Twenty four research participants were selected among high performing Grade 12 students of three Indonesian Secondary Schools using the purposive sampling method. Productive thinking schemes were identified based on the analysis of the participants' written assignment, think-aloud recordings and interview transcriptions. Description of the schemes was concluded from the understanding of the causes of the problems and the way the participants make associations between ideas. Students' thinking structure is aligned with the structure of the given problem. In solving the problem, participants formed constructive thinking schemes which were generalization schemes that require high spatial and abstraction abilities. This allows reconstruction of the connective thinking network scheme that forms a new connective scheme that can be used for more complex problem-solving.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
    refInfo:
    copyright:
      @attributes:
        flag: Y
      custom: Copyright of Pertanika Journal of Social Sciences & Humanities is the property of Universiti Putra Malaysia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use.
      item: Pertanika Journal of Social Sciences & Humanities
      holder: Universiti Putra Malaysia
      dt:
        @attributes:
          year: 2020
    holdings:
      @attributes:
        islocal: N