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Η ΕΠΙΔΡΑΣΗ ΤΟΥ ΠΛΑΙΣΙΟΥ ΣΥΝΤΑΞΗΣ ΤΩΝ ΑΡΙΘΜΗΤΙΚΩΝ ΠΑΡΑΣΤΑΣΕΩΝ ΣΤΟΝ ΤΡΟΠΟ ΥΠΟΛΟΓΙΣΜΟΥ ΤΟΥΣ: Η ΠΕΡΙΠΤΩΣΗ ΤΩΝ ΝΟΕΡΩΝ ΠΑΡΕΝΘΕΣΕΩΝ

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Ιωάννης Παπαδόπουλος (Ioannis Papadopoulos), Ιωάννης Ελευθεριάδης (Ioannis Eleftheriadis)

Περίληψη


Στην εργασία αυτή ερευνάται το πώς επιδρά η γραπτή μορφή μίας αριθμητικής παράστασης στον τρόπο υπολογισμού της, δεδομένου ότι αυτός απαιτεί τη χρήση παρενθέσεων.  Συγκεκριμένα, ζητήθηκε από μαθητές της Ε’ και Στ’ Δημοτικού να υπολογίσουν μια σειρά από κλασματικές παραστάσεις. Τα ευρήματα της έρευνας δείχνουν ότι η κλασματική μορφή των παραστάσεων φαίνεται να επηρεάζει τον τρόπο υπολογισμού τους από τους μαθητές επιβάλλοντας ουσιαστικά τον τρόπο ανάλυσης που θα πρέπει να ακολουθηθεί. Η επίδραση αυτή είναι εμφανής στους μαθητές και των δύο τάξεων. Κύριο χαρακτηριστικό του πως εκφράζεται η επίδραση αυτή είναι η τάση των μαθητών να αφήνουν κατά μέρος τους κανόνες για την προτεραιότητα των πράξεων και τη χρήση των παρενθέσεων χωρίς αυτό όμως να σημαίνει πάντοτε ότι δεν τους γνωρίζουν. Οι μαθητές αν και φαινομενικά ακολουθούν μια μαθηματική διαδικασία που είναι προβληματική, κάνουν χρήση αυτών που στην έρευνα αποκαλούνται ‘νοερές’ παρενθέσεις προκειμένου να διατηρήσουν τη δομή της αρχικής παράστασης και να φτάσουν στο σωστό αποτέλεσμα.

Λέξεις κλειδιά


Παρένθεση, δομή, προτεραιότητα πράξεων

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