In this present study, it was aimed to investigate whether the hierarchical structure of mathematics emerged in university students' minds or not, considering the concepts of limit, continuity derivative and integral from the perspective of students in the department of secondary school mathematics teacher training and the department of mathematics in the faculty of science and letters. The study, designed with the case study methodology, was carried out with 100 participants. Data were collected with the research group via a survey form including totally five questions; one of which is conceptual the other four are operational and analysed with the descriptive analysis. From the results of the research, it was found out that the participants could not learn the concepts of limit-continuity-derivative-integral conceptually and could not constitute the hierarchical structures among these concepts in their minds. Nevertheless, it was determined that the participants learned the procedural knowledge of each concept independent from the other. From these results, it can be recommended that placing activities emphasizing on the relationships among the concepts in teaching the concepts should be applied more.
In this present study, it was aimed to investigate the effect of teaching practices with real life content in light and sound learning areas. With this purpose, it was intended to determine the contribution of teaching practices with real life content (TPRLC) to the levels of pre-service teachers' skills to associate the light and sound learning areas with daily life. The research was designed with an experimental basis and data were collected with the pre-test, post-test pattern. The participants consisted of 30 university students who were in fourth grade in Secondary School Science Teacher Training Department. Data were collected with questionnaires including open-ended questions related to the Use of Learning Areas in Daily Life. With the results, it was found out that the levels of pre-service teachers in associating the learning areas with daily life doubled in light learning areas and trebled in sound learning areas.
The aim of the present study is to investigate pre-service secondary mathematics teachers' cognitive-metacognitive behaviours during the mathematical problem-solving process considering class level. The study, in which the case study methodology was employed, was carried out with eight pre-service mathematics teachers, enrolled at a university in Erzincan, Turkey. We collected data via think aloud protocols in which metacognitive supports are provided and not provided and with unstructured metacognitive protocols related to the process. The metacognitive support provided to the pre-service teachers and this case caused an increase in the numbers of cognitive-metacognitive behaviours in class level in general. Any pattern was not encountered for the sequences of cognitive-metacognitive behaviours in the process of mathematical modelling during the stages in which metacognitive support was given and was not given but some little patterns were detected. It was noticed that there was no relationship with respect to the metacognitive support and without metacognitive support between and frequencies of cognitive-metacognitive behaviour mathematical modelling progress. The 1st and 2nd grade-pre-service teachers claimed that the metacognitive support contributed to them such factors as understanding and detailing, the 3rd and 4th graders expressed that it enabled them to follow, reach alternative ways of solution. The participants, during the stage in which the metacognitive support was provided, demonstrated more success during the process of mathematical modelling compared with the first stage.
Bu araştırmada; öğretmen adaylarının üstbilişsel farkındalık düzeyleri; bu düzeylerin bölüm, sınıf düzeyi ve cinsiyet değişkenlerine göre farklılaşıp farklılaşmadığı ve üstbilişsel farkındalıklarının akademik başarılarını yordama durumunun incelenmesi amaçlanmıştır. İlişkisel araştırma yöntemi temel alınarak tasarlanan araştırma ilköğretim matematik, sınıf, fen bilgisi ve sosyal bilgiler öğretmenliği programlarından öğrenim gören 764 katılımcı ile gerçekleştirilmiştir. Araştırmanın verileri; katılımcıların demografik bilgileri (öğrenim gördükleri bölüm, sınıf düzeyi, cinsiyet), akademik başarıları (lisans genel başarı ortalaması) ve üstbilişsel farkındalık düzeyleri (Bilişötesi Farkındalık Envanteri puanları) şeklindedir. Verilerin analizinde; betimsel analiz, çok faktörlü ANOVA ve basit doğrusal regresyon testi kullanılmıştır. Analizler sonucunda; katılımcıların büyük bir bölümünün yüksek düzeyde farkındalığa sahip olduğu belirlenmiştir. Öğrenim görülen bölüm ve bölüm ile sınıf düzeyinin kombinasyonu değişkenlerinin farkındalık üzerinde anlamlı bir farklılık oluşturduğu görülmüştür. Ayrıca akademik başarı ve üstbilişsel farkındalık arasında pozitif ve zayıf düzeyde bir ilişki olduğu, üstbilişsel farkındalığın akademik başarının anlamlı bir yordayıcısı olup toplam varyansın %1'ini anlamlı olarak açıkladığı tespit edilmiştir.
In this study, it is aimed to define the perception of problem concept formed in pre-service secondary school mathematics teachers’ mind on account of their own definitions and the qualification problems posed by them. The research was designed on the basis of the case study method. Participants consist of 51 pre-service secondary school mathematics teachers; 23 of them were second graders at the university, other 28 were fourth graders. Data, collected with an open-ended questionairre prepared as data collection tool, were analysed with descriptive analysis and contents analysis. From the results, it was determined that the shape problem concept in pre-service mathematics teachers’ mind is mainly a situation that creating problem. Yet, during the definition of problem concept, the situation of solving procedure firstly not being ready, were not emphasized by most of the pre-service teachers. In accordance with those perceptions, even the problems posed by the participants were realized to be solved easily in the process of mathematical operations. In order to crate a more correct problem perception in pre service teachers’ minds, it is suggested to provide comparing them with the situations- examples consisting all the specialities contained in the concept. ÖzetBu araştırmada ortaokul matematik öğretmen adaylarının zihinlerinde oluşan problem kavramı algısının kendi tanımlamaları ve kurdukları problemlerin nitelikleri üzerinden ortaya konması amaçlanmıştır. Araştırma durum çalışması yöntemi temel alınarak dizayn edilmiştir. Çalışma grubu 23’ü ikinci 28’si ise dördüncü sınıfta öğrenim görmekte olan 51 ortaokul matematik öğretmen adayından oluşmaktadır. Hazırlanan açık uçlu anket formu ile toplanan veriler betimsel analize ve içerik analizine tabi tutulmuştur. Ulaşılan bulgulardan hareketle öğretmen adaylarının zihnindeki problem kavramının daha çok sorun teşkil eden durum şeklinde olduğu belirlenmiştir. Fakat problem kavramını ifade ederken problemin ilk bakışta çözüm prosedürünün hali hazırda olmaması durumu öğretmen adaylarının çok büyük bir bölümü tarafından vurgulanmamıştır. Bu algılara paralel olarak katılımcıların kurdukları problemlerin de çoğunlukla matematiksel işlemlerin uygulanmasıyla rahatlıkla çözülebilen nitelikte olduğu görülmüştür. Öğretmen adaylarının zihninde daha doğru bir problem algısı oluşturabilmek için kavramın sahip olduğu tüm özellikleri içinde barındıran durumlarla-örneklerle karşılaşmalarının sağlanması önerilmektedir.
Students’ associating their knowledge with daily life demonstrates great significance in terms of understanding the importance of topics they learn in school as well as knowing where and how they are used in their daily life. In this context, teachers who will reflect these relationships in learning environments must have sufficient knowledge and experience. In this research, it was aimed to investigate the effects of teaching applications with real life content on the levels of pre-service teachers' abilities to associate daily life with astronomy and electrical learning topics. The sample consisted of totally 30 fourth class students who were at the department of Science Teaching in the Faculty of Education. In the research, astronomy and electrical learning topics were chosen and activities based on real life problems in these were applied. The data gathered were based on the effects of these activities. The research was conducted following an experimental design and data were collected applying the pre-post test pattern. The data were collected through open-ended questionnaires related to the use of learning topics in daily life. As a result, it was found that the levels of associating the learning topics with daily life were nearly doubled in the field of electrical and astronomy learning topics.
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