Browsing by Author "Sinoplu, N. Beylem"

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    Geometric explorations with dynamic geometry applications based on van Hiele levels
    (2005) Olkun, Sinan; Sinoplu, N. Beylem; Deryakulu, Deniz
    The purpose of this paper is to present classroom-tested geometry activities based on the van Hiele geometric thinking levels using dynamic geometry applications. The other ideas behind the activities include teacher questioning, active student participation, and studentcentered decision-making. During the lessons student teachers engaged in self-exploration and reinvention of geometric relations. It was evident from the episodes that students raised their level of geometric thinking by building on their current geometric understanding.
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    Lineer programlar ve bilgisayar çözümleri
    (Fen Bilimleri Enstitüsü, 2003) Sinoplu, N. Beylem; Özalp, Nuri
    Bu tez üç bölümden oluşmaktadır. Birinci bölümde, bu tez çalışmasının seçimindeki temel motivasyon ortaya konulmuş olup, lineer programlamanın matematiksel yapısı için gerekli temel tanım ve kavramlar tanıtılmıştır. İkinci bölümde, lineer programlama problemlerinin en güçlü çözüm tekniklerinden biri olan simpleks algoritması için gerekli teoremler ispatlanmış olup, bir örnek problem üzerinde bu algoritma incelenmiştir. Bu bölümde, ayrıca maksimum, minimum ve dual problemler arasındaki ilişkiler verilmiştir. Üçüncü bölümde ise, lineer programlamaların gerçek hayat problemlerine uygulamaları dört temel problemle analiz edilmiş olup, bölüm sonunda ise bilgisayar çözümleri için gerekli bir kaynak kod günümüzdeki en güçlü ve yaygın kullanılan dillerden biri olan C++ programla diliyle verilmiştir.
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    The effect of pre-engineering activities on 4th and 5th grade students’ understanding of rectangular solids made of small cubes
    (2008) Olkun, Sinan; Sinoplu, N. Beylem
    The purpose of this research was to investigate the effect of pre-engineering activities on 4thand 5th-grade students understanding of rectangular solids made of small cubes. The study utilized a pretest-posttest experimental design with 121 students. During a two class-hour instruction, experimental groups constructed simple toys such as cars, ships, and trucks out of wooden cubes and triangular prisms. Control groups continued on their regular in-class activities. Results showed that experimental groups, with no gender differences, statistically significantly improved their understanding of three-dimensionality and spatial structuring of three-dimensional arrays of cubes. Similar activities can be used in classrooms to help students mentally construct three-dimensionality and improve their understanding of the spatial structure of rectangular buildings made of small cubes.