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Kobra Bahaloo Horeh, Zahra Gooya, . Mahbobeh Arefi, Koorosh Fathi Vajargah,
Volume 10, Issue 19 (3-2022)
Abstract

A research was conducted using qualitative approach, to identify the required knowledge for mathematics educators that are preparing prospective elementary teachers. Two mathematics educators from “Farhangian University” participated in this study. The data collected from four different sources observation of virtual classes of two participants while teaching multiplication and division of fractions, semi-structred interviews with participant, educators’ lesson plans and first author’s field notes. The classes hold virtually due to the Covid-19 pandamic. After many levels of systematic data reduction, three categories emerged as “the role of educators’ beliefs in teaching mathematicsL, “choosing challenging content for developing conceptual understanding of multiplication and division of fractions and “recognition of misconceptions of elementary students”. As a result, a theoretical framework developed for required knowledge of mathematics educators with four components as “knowledge of mathematics-content”, “knowledge of mathematics curriculum", "knowledge of students’ mathematics misconceptions” and “knowledge of modifying teaching to fit the situation.”
Ms Mahdokht Naghibi,
Volume 11, Issue 21 (3-2023)
Abstract

 In order to fully understand the concept of fraction, all of its sub-constructs must be considered and interrelated. The purpose of this study is to examine the presence of these sub-constructs and their level of use in elementary mathematics textbooks in Iran. A content analysis study based on Kieren's sub-constructs framework with five categories, namely; part-whole, measurement, ratio, quotient, and operator, was conducted to analyze all 2-6 grades’ mathematics textbooks’ activities and problems in chapters related to the concept of fraction. The results of the analysis showed that the most used sub-constructs respectively are: Part-Whole (49%), Measurement (22%), Ratio (16%), Operator (11%), Quotient (1%). There is very little attention given to the sub-construct of ‘quotient’ in these textbooks. Moreover, the potential of some sub-constructs has not been fulfilled.

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