Can Technology-Assisted Instruction Improve Theoretical Awareness? The Case of Fundamental Theorem of Calculus

Yıl 2015, , 68 - 92, 07.04.2015

Eyüp Sevimli , Ali Delice

https://doi.org/10.16949/turcomat.44905

Öz

The aim of this study is to evaluate the effect of technology-assisted instruction on theoretical awareness in terms of the Fundamental Theorem of Calculus (FTC), which is one of the important issues of undergraduate mathematics. In this study which is structured with regard to multi-method approach, the impact of the teaching experiment was assessed by using qualitative data on the basis of traditional environment. The research group consists of 84 students from a mathematics teacher training department at a state university; out of these students two groups have randomly been assigned, one as the experimental group and the other as control group. The tests which were carried out before and after implementations, used for determining instructional inputs-outputs and interviews conducted for evaluating students’ way of thinking. The findings show that the students in the experimental group, compared to the before treatment, solved integral problems considering with the necessary and sufficient condition of the FTC. Even though students in the control group achieved expressing the FTC, they failed to reflect their knowledge into practice. It has been concluded that a Computer Algebra System may enable to interpret the solution processes not only more analytical but also with a visual sense in the experimental group.

Keywords: Fundamental Theorem of Calculus, technology, awareness of theory

Anahtar Kelimeler

Fundamental Theorem of Calculus, technology, awareness of theory

Teknoloji Destekli Öğretim Teorik Farkındalığı Geliştirebilir mi? Analizin Temel Teoremi Örneği

Öz

Bu çalışmanın amacı, teknoloji destekli öğretimin teorik farkındalığa etkisini, yükseköğretim matematiğinin önemli teoremlerinden biri olan Analizin Temel Teoremi (ATT) bağlamında değerlendirmektir. Çoklu yöntem modeline göre yapılandırılan araştırmada, bir öğretim deneyinin etkililiği nitel veri toplama süreçleri üzerinden, var olan durum ile karşılaştırmalı olarak değerlendirilmiştir. Bir devlet üniversitesinin ilköğretim matematik öğretmenliği 2. sınıf programına kayıtlı olan 84 öğrencisi yansız atama ile iki eşit gruba ayrılmış; bu işlem sonucunda deney grubunda Bilgisayar Cebiri Sistemi (BCS) destekli yaklaşım, kontrol grubunda ise geleneksel yaklaşım takip edilerek öğretim süreci yürütülmüştür. Öğretim süreci öncesi ve sonrasında uygulanan testler ile öğrenim girdi ve çıktıları değerlendirilmiş; sürecin katılımcı gözüyle değerlendirilmesi için görüşme bulgularından yararlanılmıştır. Bulgular, uygulama öncesine kıyasla deney grubundaki öğrencilerin ATT’nin gerek ve yeter şartlarını dikkate alarak integral hesabı gerçekleştirdiğini göstermiştir. Kontrol grubundaki öğrenciler, ATT’yi teorik olarak ifade edebilmelerine karşın, teorik bilgilerin gerekliliklerini çözüm sürecine yansıtamamışlardır. Çalışma sonuçları, sürecin sadece analitik değil aynı zamanda görsel çözümler ile desteklendiği durumlarda, öğrencilerin daha yüksek teorik farkındalığa sahip olabileceğini göstermiştir.

Anahtar Kelimeler: Analizin Temel Teoremi, teknoloji, teorik farkındalık

Anahtar Kelimeler

Analizin Temel Teoremi, teknoloji, teorik farkındalık

Kaynakça

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