The quality of teaching mathematics and science depends on the teachers' competencies about instant feedback to mistakes. Instant feedback is some kind of feedback used whenever a mistake occurs. Mistakes are a starting point for learning; a chance to construct new knowledge or describe the misconceptions. Therefore studies on mistakes and instant feedback are a necessity. Besides, comparing applications is necessary to improve teachers. Attitudes affect implementations. Therefore, it is necessary to understand teachers' attitudes about them. The purpose of the research is to describe and compare the attitudes of mathematics and science educators towards mistakes and instant feedback. The present study is a relational study with a descriptive pattern aimed to describe the relationship between mathematics educators' and science educators' attitudes. "Attitude Scale of Mathematics and Science Teachers towards Mistake and Instant Feedback (MST-AS)" (Türkdoğan, 2020) implemented to 398 mathematics and science educators teaching at public elementary, secondary schools or universities. Validity and reliability studies were made with SPSS 25.0 package program. Data were analyzed using t-Test and One Way ANOVA tests. There are not statistically differences between mathematics and science educators' attitudes towards giving feedback to the mistakes. Both educators have positive attitudes. Additionally, no statistically significant difference was found by age, gender, professional experience level or education level. Cronbach Alpha coefficient of the scale was found to be .871. In the sub-dimensions, the Cronbach Alpha coefficient of the scale was .861 for external factors. It was found to be .858 for internal factors.
ABSTRACT. The aim of this study is to investigate the views of mathematics teachers on the effectiveness of branch teachers' committee meeting. The study was carried out with 97 (61 elementary school and 36 secondary school) mathematics teachers who were working in different regions of Turkey. For data collection, a questionnaire consisting of 20 items developed by Demirtaş and Cömert (2006) and a form included open-ended questions were used. In order to analyze the gathered data, content analysis technique was performed. At the end of the study it was observed that the views of mathematics teachers on effectiveness of committee meetings are amount to on average. Besides, the quantitative findings, the answers given to open -ended questions showed that a considerable amount of teachers see branch teachers' committee meeting as a matter of form and have weak beliefs in the necessity of the meetings. Through the findings gathered, some recommendations were made by the researchers.
Öz: Bu çalışma Türkiye'de 1999 yılından 2013 yılına kadar matematik eğitimi alanında, kavram yanılgılarını konu edinen makalelerin tematik bir incelenmesi amacıyla yürütülmüştür. Bu amaca ulaşabilmek için betimsel araştırma yöntemlerinden tarama modeli benimsenmiştir. Çalışma örneklemini, belirtilen tarihlerde Türkçe anadilinde yazılmış akademik dergilerde yayımlanmış olan 45 makale oluşturmaktadır. Ulaşılan makaleler; sınıflandırma analiz tekniği ile örneklem/katılımcı sayısı, konu, öğrenim düzeyi, yayın yılı, kavram yanılgısı tespit tekniği, gibi özellikler bağlamında incelenmiştir. Elde edilen bulgular, son yıllarda kavram yanılgısı çalışmalarında bir artış olduğunu ancak çalışmaların çoğunda kavram yanılgısı tespit çalışması yapıldığı, kavram yanılgılarını gidermeye yönelik çalışmaların ise sınırlı sayıda olduğunu göstermiştir. Sonuç olarak kavram yanılgılarını belirlemeye yönelik çalışmaların yanında, bu yanılgıları gidermeye yönelik, farklı teknikler kullanılarak tasarlanacak öğrenme ortamlarından yansımaların sunulduğu çalışmaların yürütülmesi önerilmiştir. Ayrıca yürütülen çalışmalarda sıklıkla kullanılan çoktan seçmeli sorularla kavram yanılgılarının belirlenmesinin yanında derinlemesine verilerin elde edileceği ve yanılgıların kaynağının belirlenebileceği kavram haritası, anlam çözümleme tablosu, tahmin gözlem açıklama vb. tekniklerin de kullanılmasının yararlı olacağı düşünülmektedir.
The purpose of the research is to develop a valid and reliable attitude scale that can measure the attitudes of math and science teachers (315) and teacher candidates (105) towards mistakes and instant feedback. In the validity studies, the exploratory factor analysis was made with the SPS1S 8.0 package program after that the confirmatory factor analysis was made with Lisrel 8.8 software. To develop the scale; 1. Creation of Item Pool 2. Obtaining Expert Opinion, 3. Creation of Pre-Trial Form 4. Factor Analysis is made. According to factor analysis; Kaiser Meyer Olkin (KMO) rate; .808; Bartlett test result: 2148,354; Cronbach alpha reliability coefficient for the whole scale: .829. According to confirmatory factor analysis: Root Mean Square Error of Approximation (RMSEA) .022 (<.05); p-Value for Test of Close Fit .00 (<.05), standardized root mean square residual (SRMR) .014, Goodness of Fit Index (GFI) .75, Adjusted Goodness of Fit Index (AGFI) .69; Normed Fit Index (NFI) .91; Relative Fit Index (RFI) .78; Incremental Fix Index (IFI): .83; Parsimony Goodness of Fit Index (PGFI): .62; Degrees of Freedom: 760; Root Mean Square Residual (RMR): 2.07 and NonNormed Fit Index (NNFI): .88. According to research findings, attitude scale is valid and reliable so it can be used to determine math and science teachers and teacher candidates positive and negative attitudes toward mistake and giving instant feedback to mistake.
Perhaps the biggest obstacles to the effective implementation of the student-centred mathematics programs are mistakes. So it is very important to know that not every mistake is the same and that the same type of feedback cannot be used in every mistake type. In this study, firstly 870 mistakes and feedback encountered by 4 teachers in 120 hours were analysed. Then, which feedback technique was used in which type of mistake according to Türkdoğan's clarification and discussed to what degree the feedback met the expectations of student-centred mathematics curricula. It was found that the use of the Ignoring the Mistake or Accepting it as Correct, Saying the True Answer and Saying the Answer is Wrong feedback techniques in the first type of mistake was more appropriate. The use of Creating Conflicts, Simplifying or Making Connections feedback techniques was insufficient. It is thought that organizing educational activities for teachers and teacher students about mistakes and feedbacks will be useful to establish a more effective student-centred environment.
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