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Öğe Evaluation of Matmematics Education in High School, Cram School And Universities by Candidates of Elementary Mathematics Teachers(Adıyaman Üniversitesi Eğitim Bilimleri Dergisi, 2015) Açıkgül, Kübra; Macit, Esra; Çakan, CelalThe purpose of this study is to reveal candidates of mathematics teachers’ views on the given mathematics education at high schools, cram schools and universities. This study is a descriptive research. The sample of the study is consisted of 43 candidates of teacher who study in first year in Elementary Mathematic Education Program at Education Faculty of a university in Eastern Anatolia region. A questionnaire consisting of 7 questions almost all open-ended was applied to collect data. The data obtained from this study were analyzed by descriptive analysis method and expressed as a percentage and frequency for each question. The candidates of teachers mentioned that mathematics education in cram school is rote and university mathematics education is difficult because of it is more abstract and tended to prove. They also discoursed that in cram schools is given practical knowledge to pass the exam and class, isn’t explained what it means, where it is used, in university mathematic education is detailed, compelling and tended to prove. Candidates who think high school mathematics education is 'rote', 'inadequate' and 'superficial', high school mathematics education need create the basis for university education and need to support it, for this reason they argued that the high school education system should be fixed. © 2015AUJES. All rights reserved Keywords: 1 High school, cram school, university, mathematics education, mathematics teacher candidatesÖğe Fa-toplanabilme ve Fa-çekirdek(İnönü Üniversitesi, 2001) Çakan, CelalBu tez çalışması üç bölümden oluşmaktadır. Birinci bölümde, sonraki bölümlerde kullanacağımız bazı temel tanım, kavram ve teoremlere yer verildi. Orijinal bölümlerin ilki olan ikinci bölümün ilk kısmında, Lorentz' in yap tığı F^-toplanabilmenin tanımı verildikten sonra, A' nm özel durumlarında Fa- toplanabilen dizilerin uzayı (Fa)' mn c' yi ve V^ yi kapsayacağı gösterildi. Ayrıca; m, c, F ve V^ yi (Fa)' ya dönüştüren sonsuz matrisler karakterize edildi. Bu bölümün ikinci kısmında ise, sınırlı bir dizinin F^-çekirdeği tanımlandı ve daha önceden bili nen Knopp (K), Banach (B) ve cr-çekirdekleri ile olan kapsama ilişkisi incelendi. Üçüncü ve son bölümün birinci kısmında, her x 6 ra alındığında FA-çek(Bx) Ç K-çek(x), FA-çek(Bx) ÇÖğe On the $K_r$ -core of complex sequences and the absolute equivalence of summability matrices(2004) Çakan, Celal; Aydın, CaferAbstract: The Kr-core of a complex valued sequence has been introduced in [5]. In this paper, we have determined a class of matrices such that Kr?core(Ax)?Kr?core(x) hold for all x?1?. Also; we have defined a new type of absolute equivalence, r - absolute equivalence, and characterized these type of matrices.Öğe On the K_r -core of complex sequences and the absolute equivalence of summability matrices(İnönü Üniversitesi, Eğitim Fakültesi, Malatya, Türkiye, 2004) Çakan, Celal; Aydın, CaferÖğe Reel terimli sınırlı bir dizinin alfa-çekirdeği(İnönü Üniversitesi, 1997) Çakan, CelalÖZET Üç bölüm olarak hazırlanan bu çalışmanın birinci bölümünde, bir dizinin bir A = (ank) sonsuz matrisi yardımıyla elde edilen dönüşüm dizisi tarif edildi. Ayrıca; regülerlik, hemen hemen regülerlik,kuwetli regülerlik,oregülerlik ve Vo-regülerlik hakkında yapılmış tanım ve teoremler verildi. İkinci bölümde; bir dizinin K, B ve 0-çekirdek tanımlan yapılarak bu dizi ile onun dönüşüm dizisinin K, B ve o-çekirdekleri arasındaki ilişkileri veren ve daha önceden yapılmış teorem ve sonuçlar yer aldı. Son kısımda da; Chaudhary ' nin [7] ' de çalıştığı fikir kullanılarak, K ve B çekirdek hakkında yapılan ve ikinci kısımda verilen sonuçlar o -çekirdek bakımından normal matrisler yardımıyla genelleştirildi. -111-Öğe \sigma-regular matrices and A \sigma- core theorem for double sequences(Hacettepe Journal of Mathematics and Statistics, 2009) Çakan, Celal; Altay, Bilal; Coşkun, HüsamettinAbstract:The famous Knopp Core of a single sequence was extended to the P- core of a double sequence by R.F. Patterson. Recently, the MR-core and σ-core of real bounded double sequences have been introduced and some inequalities analogues to those for Knoop’s Core Theorem have been studied. The aim of this paper is to characterize a class of four-dimensional matrices, and so to obtain necessary and sufficient conditions for a new inequality related to the P- and σ-cores.Öğe sigma-regular matrices and A sigma- core theorem for double sequences(2009) Çakan, Celal; Çoşkun, Hüsamettin; Altay, BilalThe famous Knopp Core of a single sequence was extended to the P- core of a double sequence by R.F. Patterson. Recently, the MR-core and σ-core of real bounded double sequences have been introduced and some inequalities analogues to those for Knoop’s Core Theorem have been studied. The aim of this paper is to characterize a class of four-dimensional matrices, and so to obtain necessary and sufficient conditions for a new inequality related to the P- and σ-cores.Öğe Some inequalities related to the pringsheim, statistical and ?-cores of double sequences(Hacettepe Journal of Mathematics and Statistics, 2013) Çakan, Celal; Altay, Bilal; Çoşkun, HüsamettinÖz: Başlık (İngilizce): Öz (İngilizce): The statistical convergence of double sequences was presented by Mursaleen-Edely and Tripathy in two ways, [10, 16]. The statistical core of double sequences was introduced by Cakan- Altay, [1]. The ̧ σ-convergence and σ-core of double sequences were defined by Cakan- ̧ Altay-Mursaleen, [5]. In this paper, we will study some new inequal- ities related to the Pringsheim, statistical and σ-cores of double se- quences. To achieve this goal, we will characterize some classes of four-dimensional matrices.
