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ΤΑ ΓΡΑΜΜΑΤΑ-ΜΕΤΑΒΛΗΤΕΣ: ΠΩΣ ΤΑ ΚΑΤΑΝΟΟΥΝ ΟΙ ΜΑΘΗΤΕΣ ΚΑΙ ΠΩΣ ΕΜΦΑΝΙΖΟΝΤΑΙ ΣΤΑ ΒΙΒΛΙΑ ΜΑΘΗΜΑΤΙΚΩΝ ΤΟΥ ΓΥΜΝΑΣΙΟΥ

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Στέλλα Δημητρακοπούλου (Styliani Dimitrakopoulou), Κωνσταντίνος Χρήστου (Konstantinos Christou)

Περίληψη


Η παρούσα ερευνητική εργασία εστιάζει στην έννοια της μεταβλητής στα σχολικά μαθηματικά και αποτελείται από δυο μελέτες. Στη μελέτη Α΄ διερευνάται με ποιους τρόπους κατανοούν οι μαθητές του Γυμνασίου και της Α΄ Λυκείου τη χρήση των γραμμάτων ως μεταβλητών στις αλγεβρικές παραστάσεις και τι τιμές θεωρούν ότι αυτές μπορούν να πάρουν. Τα αποτελέσματα των ατομικών συνεντεύξεων έδειξαν ότι οι μαθητές αναγνώριζαν τα γράμματα ως σύμβολα που αναπαριστούσαν περισσότερους του ενός αριθμούς, αλλά ότι οι αριθμοί αυτοί ήταν κατά προτεραιότητα φυσικοί αριθμοί. Στη μελέτη Β΄ εξετάζεται με ποιες διαφορετικές μορφές εμφανίζονται τα γράμματα ως μεταβλητές στα σχολικά βιβλία των Μαθηματικών του Γυμνασίου και τι αριθμητικές τιμές τους αποδίδονται. Τα αποτελέσματα έδειξαν ότι στην πλειοψηφία τους τα γράμματα εμφανίζονταν ως σύμβολα που αναπαριστούσαν περισσότερους του ενός αριθμούς και ότι οι τιμές που τους αποδίδονταν ήταν μη-φυσικοί και φυσικοί αριθμοί σε ίδιο περίπου ποσοστό. Τα αποτελέσματα και των δυο μελετών συζητιούνται θεωρητικά και προτείνονται παιδαγωγικές εφαρμογές.


Λέξεις κλειδιά


μεταβλητές; προκατάληψη του φυσικού αριθμού; σχολικά βιβλία; άλγεβρα

Πλήρες Κείμενο:

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Αναφορές


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