Ανάπτυξη νοημάτων κατά τη διαδικασία ισοδιαμέρισης ενός ορθογωνίου με τη χρήση του Χελωνόκοσμου

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Published: Jan 1, 2011
Ιωάννης Ζάντζος
Τμήμα Φιλοσοφίας Παιδαγωγικής και Φιλοσοφίας, Ε.Κ.Π.Α.
Χρόνης Κυνηγός
Τμήμα Φιλοσοφίας Παιδαγωγικής και Φιλοσοφίας, Ε.Κ.Π.Α.
Abstract
Στο άρθρο αυτό παρουσιάζονται μερικά από τα αποτελέσματα μιας ερευνητικής μελέτης που αφορά τα νοήματα που παράγονται από μαθητές 12-13 ετών γύρω από την έννοια της ισοδιαμέρισης. Οι μαθητές εργάστηκαν σε ζεύγη χρησιμοποιώντας ένα υπολογιστικό περιβάλλον που συνδυάζει τον δυναμικό χειρισμό μαθηματικών αντικειμένων και την συμβολική έκφραση μέσα από τη γλώσσα προγραμματισμού Logo. Ως αφετηρία στους πειραματισμούς, τους δόθηκε ο μισοψημένος μικρόκοσμος «ισοδιαμέριση» που θα τους ήταν χρήσιμος για την ισοδιαμέριση ενός ορθογωνίου σε ίσα μέρη. Η έννοια της συμμεταβολής, το άπειρο ως διαδικασία μέσω του κιβωτισμού διαστημάτων και το γεγονός ότι το αποτέλεσμα της παραπάνω οριακής διαδικασίας είναι ένας δεκαδικός περιοδικός αριθμός, είναι μερικά από τα νοήματα που αναπτύχθηκαν.
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