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Portraying Mathematics Teachers’ Knowledge for Teaching the Addition of Fractions through Representations

المصدر: المجلة الدولية للبحوث في العلوم التربوية
الناشر: المؤسسة الدولية لآفاق المستقبل
المؤلف الرئيسي: Elbehary, Samah Gamal Ahmed (Author)
مؤلفين آخرين: Aboseira, Fatima Hamada Bassiouny (Co-Author)
المجلد/العدد: مج5, ع4
محكمة: نعم
الدولة: إستونيا
التاريخ الميلادي: 2022
الصفحات: 303 - 342
ISSN: 2585-6081
رقم MD: 1316981
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EduSearch
مواضيع:
كلمات المؤلف المفتاحية:
Representations | Fractions | Teachers’ Knowledge | Mathematics Teaching
رابط المحتوى:
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LEADER 02613nam a22002297a 4500
001 2076500
041 |a eng 
044 |b إستونيا 
100 |a Elbehary, Samah Gamal Ahmed  |e Author  |9 698281 
245 |a Portraying Mathematics Teachers’ Knowledge for Teaching the Addition of Fractions through Representations 
260 |b المؤسسة الدولية لآفاق المستقبل  |c 2022 
300 |a 303 - 342 
336 |a بحوث ومقالات  |b Article 
520 |b Teaching the concept of fractions to students stays challenging, yet representations define an effective strategy to overcome such a challenge. Considering the impact of teachers’ knowledge on students’ achievement, this study aimed at portraying mathematics teachers’ knowledge for teaching fractions through representations, precisely, the addition process that remains a prerequisite to other operations. Hence, a purposefully selected sample of novice mathematics teachers was asked to propose a pedagogical activity through which the addition of fractions could be taught to early-age students. Later, their responses were analyzed through the study framework, which was developed by combining the five interrelated constructs of fractions with the types of activities used when teaching the addition of fractions. As a result, teachers’ knowledge was crystallized into three principal categories of utilizing the Part-whole, Measure, and Operator constructs. Furthermore, the related concepts of the unit and proportional equivalence, the fractional unit, including the iteration process, and the connection between addition and subtraction were discussed. Also, manners of representing (1) the added fractions and the result through two distinct models, (2) the added fractions and the result jointly in one model, and (3) only the added fractions emerged. These results provide a foundation for the professional development of mathematics teachers. 
653 |a مادة الرياضيات  |a معلمو الرياضيات  |a الاستراتيجيات التعليمية  |a العملية التعليمية 
692 |b Representations  |b Fractions  |b Teachers’ Knowledge  |b Mathematics Teaching 
700 |9 698284  |a Aboseira, Fatima Hamada Bassiouny  |e Co-Author 
773 |4 التربية والتعليم  |6 Education & Educational Research  |c 010  |e International Journal Of Research in Educational Sciences  |l 004  |m مج5, ع4  |o 0717  |s المجلة الدولية للبحوث في العلوم التربوية  |v 005  |x 2585-6081 
856 |u 0717-005-004-010.pdf 
930 |d y  |p y  |q n 
995 |a EduSearch 
999 |c 1316981  |d 1316981