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The ways that mathematics teachers listen to students’ explanation, influence their understanding of students and their teaching activities. If teachers be informed about different ways of “listening” to students’ ideas and conceptions concerning mathematics, they might be able to use listening as an effective teaching method to enhance students’ mathematical learning. The related literature indicates that teachers’ familiarity with different “listening” approaches, could potentially help them to set up the stage for more interaction between students, teachers, and their learning environments. In such cases, students are gradually become skillful in realistically assessing their ideas, revising them and deepening their mathematical learning. We, thus, designed and conducted a study with five mathematics teachers in grades 6 to 8, to learn more about the ways they listened to students in their mathematics classes. All participants were volunteered female teachers with at least bachelor degree in mathematics. The research paradigm of the study was qualitative and the research method was phenomenography. Therefore, observations and interviews were the main instruments for the data collection. As Marton (1988) suggested, the categories of descriptions made up the main results of this research. So, the findings are three major and distinct categories to reveal the commonality and differences of the nature of “listening” concerning mathematics teachers in their classrooms. These categories had great consistency with Davis’ (1997) theoretical framework of three approaches to “listening” including evaluative, interpretive and hermeneutic. 

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Abstract: In 1996 at the first Iranian Mathematics Education Conference (IMEC1) that was held in Isfahan. I obliged myself as a mathematics educator, to inform the mathematics community at large by presenting a paper entitled “what is mathematics education?” to pave the way for the establishment of the master program of mathematics education in Iran. Now, after 16 years, we need to reflect on this rapid development and ask ourselves that “what is not count as mathematics education”. In responding to this serious question, a metaanalysis was conducted that its data consisted of the PDF files of all the rejected research papers to the IMEC12 that were coded and all the personal identification for them were removed.  The main purpose of this study is to reflect on what has happened in last 16 years, hoping to “learn from the past to avoid its repetition!”       
 
     

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Since the establishment of formal education in Iran, there has always been an emphasis on the application of mathematics in real life situation. To measure students’s competencies in applying mathematics in real life situations, there is a need to design a test with this purpose. During the current decade, PISA has been conducted in various countries to measure sudents’ competencies needed for solving real life problems in 15 years old. Because of the reliable systematic framework of PISA regarding mathematics literacy (ML) as a construct, agreed by mathematics experts, PISA framework has been chosen as a suitable framework to design a test to assess students’ competencies for ML. In this paper, we explain the stages of designing a similar test for the Iranian students of the same age. The approach to design the test is cognitive-diagnostic according to the framework of PISA and required modifications were made based on mathematics teachers’ viewpoints in Tehran. The final test items are based on three processes of mathematics literacy which consist of formulation employment and interpretation/ evaluation, and six cognitive competencies including communication, mathematising, representation, reasoning and argument, devising strategies for solving problems and using symbolic, formal and technical language and operations, in addition, four real context of personal societal occupational and scientific and finally four content area of quantity uncertainty and data change and relationships and space and shape.

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The present study is part of a bigger research project and its purpose was to investigate the influencing factors on integrating professional learning of secondary mathematics teachers with the ways in which they analyze, interpret and make decisions regarding their teaching. For the fine-grained analysis of the first layer of data, phenomenography method was used. Nine teachers were interviewed and based on the three main categories of “the presence of mathematics teachers’ educators as leading teachers’ groups”, “being familiar with various teaching methods and modify them according to personal characteristics of teacher, school and classroom” and “professional training of the cooperative group form” that were emerged in the bigger study. With the further analysis of the interviews, three sub- categories were shaped as well. They included “focusing on the specific goals and content in cooperative groups”, “considering mathematics teachers as adult learners not school students” and “the existence of common concerns between group members.
 

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This study is to explain the criteria and indicators of the ideal form of school mathematics curriculum in Iran. For this purpose, the national documents of the education system in Iran and related research findings to school mathematics curriculum were examined. The Akker’s ten-component model for the curriculum was adapted as the framework for this study. In order to ensure the balance and effectiveness of the curriculum, in this framework, each of the components address a specific question. By answering them, criteria for the components of the school mathematics curriculum were presented. The research method of the study was document analysis and qualitative content analysis in the form of inferential. To validate the presented criteria, a number of mathematics educators and curriculum specialists participated in this study. Finally, for each of the components introduced in the framework, the criteria and indicators of the ideal form of mathematics curriculum were determined.

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It Is a Great Work, Attar's Manner

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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.”

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Methodology Crisis in Curriculum Research

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Principles of Research Design in the Curriculum: Accuracy, Relevance and Participation