Unit:
Διαπανεπιστημιακό ΠΜΣ Διδακτική και Μεθοδολογία των ΜαθηματικώνLibrary of the School of Science
Supervisors info:
Λέκτορας Γεώργιος Ψυχάρης (επιβλέπων), Καθηγήτρια Έλενα Ναρδή, Καθηγητής Θεοδόσιος Ζαχαριάδης
Original Title:
Η νοηματοδότηση του Θεμελιώδους Θεωρήματος Ολοκληρωτικού Λογισμού από φοιτητές Μαθηματικού Τμήματος με τη χρήση ψηφιακών εργαλείων
Translated title:
Undergradutae students' construction of meanings for the Fundamental Theorem of Calculus, using technology tools
Summary:
The present study concerns a teaching experiment conducted independently with
five undergraduate students regarding their understanding of the Fundamental
Theorem of Calculus (FTC) using the GeoGebra tools. The experiment is
structured in four phases, including a warm up session in the first phase,
concepts of rate of change and accumulation in the second and third phases
accordingly and the FTC in the fourth phase. Tasks with and without the use of
digital tools were constructed for each phase. We examine students’
construction of meanings for the FTC and its closely related concepts through
the commognitive framework, through students’ images and their situated
abstractions while using the digital tools. Data analysis is based on a
selection of critical incidents. Conclusions include students’ difficulties in
conceptualizing the FTC which stem from impoverished meanings of the concepts
of rate of change, limit, functional covariation and multiplicatively
constructed quantities. These conclusions concur with findings from previous
studies.
Keywords:
Fundamental Theorem of Calculus, Rate of change, Commognition, GeoGebra
