As a result of rapid development in technology, utilizing materials in education has become important. To date, researchers have often explored the effects of using educational materials in mathematics instruction on academic achievement. The purpose of this study was to combine the empirical evidence regarding the effectiveness of educational materials in mathematics. For this aim, a meta-analysis method was used in the current research. In line with the aim of the research, 54 experimental studies published between years of 2005 and 2016 were included in the meta-analysis and 58 effect sizes were calculated from these studies. The results of the meta-analysis showed that using materials in mathematics has a positive and high influence on achievement. According to analysis of mediator variables that are related to instructional characteristics, significant differences are found in the variables of mathematics topic, type of material, and application time. However, teaching with materials in mathematics did not seem to differ in effectiveness from teaching without materials, in terms of methodological characteristics of the studies.
ÖZETBu çalışma, 2017 yılında güncellenmiş ortaokul matematik dersi öğretim programında yer alan kazanımların yenilenmiş Bloom Taksonomisine göre bilişsel ve bilgi düzeyine göre derinlemesine incelemek amacıyla yapılmıştır. Verilerin analizi için doküman analizi yöntemi kullanılmıştır. Ortaokul matematik öğretim programı kapsamında 215 kazanım üç araştırmacı tarafından değerlendirilmiştir. Kazanımların değerlendirilme süreci, ortak görüşe varma, bireysel değerlendirme, karşılaştırma olmak üzere üçlü döngü şeklinde devam etmiştir. Yenilenmiş Bloom Taksonomisine göre yapılan analiz sonucunda; bilişsel süreç boyutu açısından kazanımların anlama ve uygulama basamaklarında, bilgi boyutu açısından ise kavramsal ve işlemsel bilgi basamaklarında ağırlıkta olduğu belirlenmiştir. Ayrıca kazanımlar sınıf seviyesi ve öğrenme alanlarına göre değerlendirildiğinde, kazanımların bilişsel süreç boyutu açısından kısmen benzerlik gösterdiği; bilgi boyutu açısından da farklılık gösterdiği sonucuna varılmıştır. Anahtar Kelimeler: Matematik öğretim programı, yenilenmiş Bloom taksonomisi, kazanımlar USING BLOOM'S REVISED TAXONOMY TO ANALYSE LEARNING OUTCOMES IN MATHEMATICS CURRICULAM ABSTRACTIn this study, it was aimed at evaluating and analysing students' learning outcomes in Turkish middle school mathematics curriculum according to knowledge and cognitive process dimension of Bloom's Renewed Taxonomy. In order to gather the required data, document analysis as a qualitative method was used in this research. Therefore, 215 learning outcomes were analysed individually by three researchers and were placed in the two-dimensional taxonomy. The results of analysing outcomes from each researcher were compared to view the concurrency and then differences between the researchers results argued to arrive at a consensus. The findings illustrated that learning outcomes are mostly dominated by understand and apply steps in terms of cognitive process dimension. They are also dominated by procedural and conceptual steps in terms of knowledge dimension. In addition, when the learning outcomes in reference to grade level and learning areas were considered, different results were found in terms of knowledge dimension.Keywords: Mathematics curriculum, Bloom's revised taxonomy, learning outcomes *Arş. Gör., Artvin Çoruh Üniversitesi, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü, Matematik Eğitimi Anabilim dalı, sedefcelik@artvin.edu.tr ** Dr. Öğr. Üyesi, Artvin Çoruh Üniversitesi, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü, Matematik Eğitimi Anabilim dalı, umitkul@artvin.edu.tr *** Dr. Öğr. Üyesi, Artvin Çoruh Üniversitesi, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü, Matematik Eğitimi Anabilim dalı, sclkuzun@artvin.edu.tr Sedef ÇELİK, Ümit KUL, Selcen ÇALIK UZUN 776 1.GİRİŞDünyanın her yerinde, ülkelerin öğretim programları eğitim-öğretim sürecinde bir yol haritası olarak düşünülebilir (Ersoy, 2006). Başka bir ifadeyle öğretim programı, okulda ya da okul dışında bir dersin öğretimiyle ilgili tüm et...
This research aimed to investigate studies examining mathematics textbooks in depth. To this end, specific keywords and criteria were entered into Google’s advanced search engine and the Council of Higher Education national thesis center to obtain articles and theses related to mathematics textbooks. The research investigated a total of 114 studies on mathematics textbooks published between 2005 and 2019. The data obtained were firstly subject to a descriptive analysis. A meta-synthesis method was then used to evaluate the studies included in this research. To analyze the objectives of the studies included in this research, we used the theoretical framework developed by Fan, Zhu and Miao (2013) to create an original classification. Results showed that studies examining opinions on mathematics textbooks (41.00%) were less than studies analyzing mathematics textbook (59.00%). Moreover, surveys were found to be the most frequentlyy used data collection tool in studies collecting opinions on mathematics textbooks, with teachers being the most commonly used participants subject to this data collection method. Additionally, the meta-synthesis analysis indicated that studies analyzing mathematics textbooks generally focused on topics specific to mathematics and on a specific section of a textbook (e.g. activities, problems) whereas those investigating opinions on mathematics textbooks concentrated on studies emphasizing the features of mathematical textbooks and the role of textbooks in learning-teaching.
This is a review of experimental research in which students have been taught to pose mathematical problems as a means of developing their learning. Hence, the aim of the research is to combine the empirical evidence regarding the functionality of problem posing strategies and to explore the aspects which could influence the integration of problem posing in mathematical education. In this direction, a metaanalysis approach was utilized in this study. 20 experimental research published between years of 2000 and 2020 are contained in this research and 31 effect sizes were computed. According to random effects model, it was found that problem posing strategy has significant impact on learners' problem-solving skills, mathematics achievement, level of problems posed, and attitudes towards mathematics (ES = 1.328; 1.142; 1.152; 0.643; p=0.05). These effects also were analyzed according to methodological and instructional variables. The findings obtained in the research was discussed in the light of the literature and suggestions were made for the future studies.
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