Student Connections between Algebraic and Graphical Polynomial Representations in the Context of a Polynomial Relation

When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus stu...

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Bibliographic Details
Published inInternational journal of science and mathematics education Vol. 15; no. 5; pp. 915 - 938
Main Authors Adu-Gyamfi, Kwaku, Bossé, Michael J., Chandler, Kayla
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2017
Springer
Springer Nature B.V
Subjects
Algebra
Calculus
Cognitive Processes
Concept Formation
Education
Graphical representations
Graphs
Interviews
Mathematical analysis
Mathematical Concepts
Mathematics Education
Mathematics Skills
Misconceptions
Observation
Polynomials
Science Education
Students
Task Analysis
Connections
Polynomial
Treatment
Representations
Conversion
Representation register
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Summary:When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while performing a task that required connections among graphical and algebraic representations of a polynomial relation. Their reasoning and processes on the task were examined. This revealed more detailed information about the nature of their connections and misconceptions. The study reveals different types of student connections among graphical and algebraic representations.
ISSN:1571-0068
1573-1774
DOI:10.1007/s10763-016-9730-1