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2019, Cilt 9, Sayı 1, Sayfa(lar) 078-089
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DOI: 10.5961/jhes.2019.311
A Validity and Reliability Study of a Scale of Mathematical Considerations
Kocaeli University, Faculty of Education, Department of Mathematics and Science Education, Kocaeli, Turkey
Keywords: Mathematics, Considerations, Scale development, Validity, Reliability

In this study, it was aimed to develop a scale in order to investigate middle school students’ considerations about mathematics. An evaluation was executed in terms of gender and grade levels in order to verify the scale. For this purpose, a screening model was used as a research model. A convenient sampling method was selected to determine a study group. In this context, the study was conducted with 659 middle school students. In order to identify the factor structure of the scale, exploratory factor analysis was executed and to verify this structure confirmatory factor analysis was also calculated. Furthermore, item analyses were performed. In order to determine the reliability of the scale, Cronbach alpha was also calculated. As a result of the exploratory factor analysis, it was seen that the scale had two sub-factors. These factors were named as positive considerations and negative considerations. It was shown that the developed scale showed a perfect fit according to the confirmatory factor analysis’ results. The item analyses’ results showed that the items on the scale had high-level validity and were sufficiently distinguishable. According to the reliability analyses, it was revealed that both the whole scale and its sub-factors were found sufficiently reliable. In conclusion, it was concluded that the scale was a valid and reliable instrument that could be used to determine middle school students’ thoughts toward mathematics. In addition to this, it was found that even though gender had low effect on mathematical considerations, grade level had a high effect on them.

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