View in EDS

Modelling the Relationship among Calculus Scholars' Beliefs, Critical Thinking, Elaboration, and Problem-Solving

Saved in:
Bibliographic Details
Title: Modelling the Relationship among Calculus Scholars' Beliefs, Critical Thinking, Elaboration, and Problem-Solving
Language: English
Authors: Aisha Bibi (ORCID 0000-0002-5788-5925), Wajeeha Aurangzeb (ORCID 0000-0003-0575-8489), Farkhanda Tabassum (ORCID 0000-0002-8710-7761), Mushtaq Ahmad (ORCID 0000-0003-0471-4767)
Source: International Electronic Journal of Mathematics Education. 2025 20(1).
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: 9
Publication Date: 2025
Document Type: Journal Articles
Reports - Research
Education Level: Secondary Education
Descriptors: Calculus, Secondary School Students, Student Attitudes, Beliefs, Critical Thinking, Problem Solving, Self Management, Learning Strategies, Mathematical Concepts, Mathematics Education, Epistemology, Relevance (Education), Foreign Countries
Geographic Terms: Pakistan
Assessment and Survey Identifiers: Motivated Strategies for Learning Questionnaire
ISSN: 1306-3030
Abstract: The aim of this research was to establish a structural relation among calculus scholars' beliefs, self-regulated learning (SRL) strategies, and problem-solving skills related to differential equations (DEs). To identify the relationships between different variables and their impact on DE problem-solving, a correlational study design with an a priori model was established. Three questionnaires were utilized to measure the epistemological and useful mathematics beliefs and SRL of 430 higher secondary school students. Additionally, an evaluation test consisting of five DE tasks was administered. The results demonstrated that there was a strong correlation among epistemological mathematics beliefs, the perceived usefulness of the subject, SRL, and problem-solving. This study confirms ([beta] = 0.29, T = 4.05, and p < 0.001) that students who perceive mathematics as useful tend to improve their problem-solving skills. Similarly, only elaborations ([beta] = 0.06, T = 2.40, and p < 0.001) had shown the mediation role between beliefs and problem-solving. These findings highlight the potential use of these factors in improving students' skills for solving the real tasks. A few important implications were also outlined to promote culture for deep and meaningful learning.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1462257
Database: ERIC
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=EJ1462257
    Name: ERIC Full Text
    Category: fullText
    Text: Full Text from ERIC
Header DbId: eric
DbLabel: ERIC
An: EJ1462257
AccessLevel: 3
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Modelling the Relationship among Calculus Scholars&#39; Beliefs, Critical Thinking, Elaboration, and Problem-Solving
– Name: Language
  Label: Language
  Group: Lang
  Data: English
– Name: Author
  Label: Authors
  Group: Au
  Data: &lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Aisha+Bibi%22&quot;&gt;Aisha Bibi&lt;/searchLink&gt; (ORCID &lt;externalLink term=&quot;https://orcid.org/0000-0002-5788-5925&quot;&gt;0000-0002-5788-5925&lt;/externalLink&gt;)&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Wajeeha+Aurangzeb%22&quot;&gt;Wajeeha Aurangzeb&lt;/searchLink&gt; (ORCID &lt;externalLink term=&quot;https://orcid.org/0000-0003-0575-8489&quot;&gt;0000-0003-0575-8489&lt;/externalLink&gt;)&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Farkhanda+Tabassum%22&quot;&gt;Farkhanda Tabassum&lt;/searchLink&gt; (ORCID &lt;externalLink term=&quot;https://orcid.org/0000-0002-8710-7761&quot;&gt;0000-0002-8710-7761&lt;/externalLink&gt;)&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Mushtaq+Ahmad%22&quot;&gt;Mushtaq Ahmad&lt;/searchLink&gt; (ORCID &lt;externalLink term=&quot;https://orcid.org/0000-0003-0471-4767&quot;&gt;0000-0003-0471-4767&lt;/externalLink&gt;)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: &lt;searchLink fieldCode=&quot;SO&quot; term=&quot;%22International+Electronic+Journal+of+Mathematics+Education%22&quot;&gt;&lt;i&gt;International Electronic Journal of Mathematics Education&lt;/i&gt;&lt;/searchLink&gt;. 2025 20(1).
– Name: Avail
  Label: Availability
  Group: Avail
  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
– Name: PeerReviewed
  Label: Peer Reviewed
  Group: SrcInfo
  Data: Y
– Name: Pages
  Label: Page Count
  Group: Src
  Data: 9
– Name: DatePubCY
  Label: Publication Date
  Group: Date
  Data: 2025
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Journal Articles&lt;br /&gt;Reports - Research
– Name: Audience
  Label: Education Level
  Group: Audnce
  Data: &lt;searchLink fieldCode=&quot;EL&quot; term=&quot;%22Secondary+Education%22&quot;&gt;Secondary Education&lt;/searchLink&gt;
– Name: Subject
  Label: Descriptors
  Group: Su
  Data: &lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Calculus%22&quot;&gt;Calculus&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Secondary+School+Students%22&quot;&gt;Secondary School Students&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Student+Attitudes%22&quot;&gt;Student Attitudes&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Beliefs%22&quot;&gt;Beliefs&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Critical+Thinking%22&quot;&gt;Critical Thinking&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Problem+Solving%22&quot;&gt;Problem Solving&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Self+Management%22&quot;&gt;Self Management&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Learning+Strategies%22&quot;&gt;Learning Strategies&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Mathematical+Concepts%22&quot;&gt;Mathematical Concepts&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Mathematics+Education%22&quot;&gt;Mathematics Education&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Epistemology%22&quot;&gt;Epistemology&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Relevance+%28Education%29%22&quot;&gt;Relevance (Education)&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Foreign+Countries%22&quot;&gt;Foreign Countries&lt;/searchLink&gt;
– Name: Subject
  Label: Geographic Terms
  Group: Su
  Data: &lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Pakistan%22&quot;&gt;Pakistan&lt;/searchLink&gt;
– Name: SubjectThesaurus
  Label: Assessment and Survey Identifiers
  Group: Su
  Data: &lt;searchLink fieldCode=&quot;SU&quot; term=&quot;%22Motivated+Strategies+for+Learning+Questionnaire%22&quot;&gt;Motivated Strategies for Learning Questionnaire&lt;/searchLink&gt;
– Name: ISSN
  Label: ISSN
  Group: ISSN
  Data: 1306-3030
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The aim of this research was to establish a structural relation among calculus scholars&#39; beliefs, self-regulated learning (SRL) strategies, and problem-solving skills related to differential equations (DEs). To identify the relationships between different variables and their impact on DE problem-solving, a correlational study design with an a priori model was established. Three questionnaires were utilized to measure the epistemological and useful mathematics beliefs and SRL of 430 higher secondary school students. Additionally, an evaluation test consisting of five DE tasks was administered. The results demonstrated that there was a strong correlation among epistemological mathematics beliefs, the perceived usefulness of the subject, SRL, and problem-solving. This study confirms ([beta] = 0.29, T = 4.05, and p &lt; 0.001) that students who perceive mathematics as useful tend to improve their problem-solving skills. Similarly, only elaborations ([beta] = 0.06, T = 2.40, and p &lt; 0.001) had shown the mediation role between beliefs and problem-solving. These findings highlight the potential use of these factors in improving students&#39; skills for solving the real tasks. A few important implications were also outlined to promote culture for deep and meaningful learning.
– Name: AbstractInfo
  Label: Abstractor
  Group: Ab
  Data: As Provided
– Name: DateEntry
  Label: Entry Date
  Group: Date
  Data: 2025
– Name: AN
  Label: Accession Number
  Group: ID
  Data: EJ1462257
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1462257
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
    Subjects:
      – SubjectFull: Calculus
        Type: general
      – SubjectFull: Secondary School Students
        Type: general
      – SubjectFull: Student Attitudes
        Type: general
      – SubjectFull: Beliefs
        Type: general
      – SubjectFull: Critical Thinking
        Type: general
      – SubjectFull: Problem Solving
        Type: general
      – SubjectFull: Self Management
        Type: general
      – SubjectFull: Learning Strategies
        Type: general
      – SubjectFull: Mathematical Concepts
        Type: general
      – SubjectFull: Mathematics Education
        Type: general
      – SubjectFull: Epistemology
        Type: general
      – SubjectFull: Relevance (Education)
        Type: general
      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Pakistan
        Type: general
      – SubjectFull: Motivated Strategies for Learning Questionnaire
        Type: general
    Titles:
      – TitleFull: Modelling the Relationship among Calculus Scholars' Beliefs, Critical Thinking, Elaboration, and Problem-Solving
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Aisha Bibi
      – PersonEntity:
          Name:
            NameFull: Wajeeha Aurangzeb
      – PersonEntity:
          Name:
            NameFull: Farkhanda Tabassum
      – PersonEntity:
          Name:
            NameFull: Mushtaq Ahmad
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-electronic
              Value: 1306-3030
          Numbering:
            – Type: volume
              Value: 20
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: International Electronic Journal of Mathematics Education
              Type: main
ResultId 1