Sürdürülebilir Kalkınma Amaçları
Yayınlar
- MakaleYalnız künye2016Students understanding of mathematics using from prototypical examples: Analyze in linear algebra
Aydin, Sinan; Akkan, Yaşar
Mathematical objects are ʼnatural objects’ for the practical mind. Definitions and theories can only describe them, not create or construct them. A mathematical term is interpreted through its denotation as representing a collection of particular objects for the theoretical mind. So, theoretical and practical modes of thinking differ in the manner in which they constitute the meanings of words. Thinking in terms of prototypical examples, rather than definitions, became an obstacle to our students’ understanding the notion of linear transformation. In the course, linear transformations were defined as transformations of vector spaces which conserve linear combinations. The obstacle was revealed in the students’ attempts ‘linear extension problem’: given a transformation of a basis, to construct a linear transformation with those values on the basis. In the experimental course, the problem was not formulated in such general terms. It was restricted to two dimensions, and the students were not asked to ‘linearly extend a transformation from a basis to the whole plane’ but to assume the existence of such an extension and find some missing information about it. In this study we are discussing students understanding of mathematical concepts by means of linear transformation in linear algebra.
- BildiriAçık Erişim2015Online learning in vocational school: focus on students' perceptions
Aydin, Sinan; Akkan, Yasar; Arpaz, Ercan; Koparan, Bulent; Iaman, A; Eskicumali, A
In this study, we describe vocational school students' practices and perceptions of online learning based on interviews and observations. First, we identify student characteristics within online classes. Then, we report student perceptions of online lectures. Finally, we summarize our recommendations to improve the online teaching. The methodology used in this study was qualitative data-collection techniques to obtain vocational school student views on online education and educational processes. For this purpose, two stages of data collection were used in this study these were one-on-one open-ended interviews and think-aloud observation. According to data analysis from this study, communication between students and teachers has a basic effect on shaping students' perceptions and approach to online learning. Also, they have some negative ideas of using and implementations of technology in lectures. Included in this finding is that the meaning assigned by students to any technological material used in lectures is directly connected with the way this material is implemented. Another important finding is that planning of course, assessment and curriculum plays basic role in student's concentrate on lectures and success in online learning. We investigated only a few of the possible relationships between perception of the online environment, the technological materials used in lectures, students' approach to online learning, and students' perceptions of this learning way. Although Web resources and community were mentioned in this study, they may play a more effective role in student online learning than was analyzed in this study. Some additional factors that may effect student perceptions needed to be investigated are the link between perception and outcome, faculty use and knowledge, faculty perceptions and training. (C) 2015 The Authors. Published by Elsevier Ltd.