Tüm İlişkiler Doğrusal ya da Orantısal mıdır? Doğrusal Akıl Yürütmenin Aşırı Genellemesi: Doğrusallık Yanılgısı ile İlgili Bir Derleme Çalışması

Year 2022, Issue: Özel Sayı - Van Yüzüncü Yıl Üniversitesinin Kuruluşunun 40. Yıl Dönümü Şubat Özel Sayısı, 240 - 270, 15.02.2022

Betül Barut

https://doi.org/10.33711/yyuefd.1068107

Abstract

Bu derleme çalışmasının amacı doğrusallık yanılgısı ile ilgili çalışmaları incelemek ve bu olgunun tanımı, ortaya çıkış süreci, örnekleri, sebepleri ile ilgili bilgiler ve nasıl üstesinden gelinebileceğine yönelik öneriler sunarak ulusal alanyazına katkı sağlamaktır. Bu olgu ile ilgili yapılan araştırmalar, bu olgunun başta geometri olmak üzere çok farklı konuda ve farklı yaş grubundaki öğrencilerde yaygın olarak gözlendiğini göstermiştir. Çalışma sonuçları, pek çok araştırmacının öğrencilerin bu eğiliminin köklerinin çok sağlam olduğunu ve bu eğilimin üstesinden gelmenin çok güç olduğunu vurguladığını ortaya koymuştur. Aynı zamanda, araştırmacıların doğrusallık yanılgısının en temel sebeplerinden birisi olarak öğrencilerin orantısal akıl yürütme becerisini geliştirirken sıklıkla kullanılan ve sürekli pekiştirilen bilinmeyen değer problem yapısını işaret ettikleri görülmüştür. Derleme araştırmasının sonuçları temel alınarak, doğrusallık yanılgısı olgusunun farkında olunması ve bu olgu ile ilgili bilimsel araştırmalar yürütülmesi için ülkemizdeki matematik öğretmenlerine ve matematik eğitimi alanında araştırma yapan bilim insanlarına önerilerde bulunulmuştur.

Keywords

Doğrusallık yanılgısı, Kavram yanılgısı, Doğrusallık, Orantısallık, Doğrusal akıl yürütme, Orantısal akıl yürütme, Bilinmeyen değer problem yapısı, Doğrusallık yanılgısı, Kavram yanılgısı, Doğrusallık, Orantısallık, Doğrusal akıl yürütme, Orantısal akıl yürütme, Bilinmeyen değer problem yapısı

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