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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 paper wants to discover the role of teaching culture in type of teachers encounter to ‎modifications of math schedule of first grade of high school in Qaemshahr. Findings of ‎qualitative research by methodology of ethnography showed that teachers belief have been ‎evaluated to two positive perspective and critical perspective toward changes of math book ‎of ‎‏7‏th grade. Also they have presented two spectra of behavior in encountering changes in ‎math school books of the ‎‏7‏th grade: Full admission‏ ‏‎,‎‏ ‏Resistance and rejection. The research ‎results showed that understanding the culture of teachers is an essential factor to initiate ‎any reform that with improvement in attitude to change, teachers’ tendencies will be more ‎positive towards advancing ne schedules; it means that if teachers know the change useful ‎and necessary, they will perform them with more commitment and fidelity

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This study aimed to examine the effects of integrating humor into math curriculum on mathematical creativity of sixth grade students in primary school. The current paper reports the results of the quantitative section of a larger study conducted through a mixed methods design. Mathematical creativity of students based on their performance was measured after the implementation of the researcher-developed package that included humor-integrated math content generated based on the concepts of sixth grade math textbook. Pre-test and post-test results showed that integration of some elements of instructional humor with math concepts can have positive effects on math creativity of the students. Suggestions are the development of humor-integrated curricula packages based on needs and requirements of the learners as well as the subject matters.

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The aim of this study was to increase understanding of how to change theoretical and practical knowledge of primary school teachers. The research approach was qualitative. The data were collected through focus group interviews. The sample size was obtained after the saturation phase including 25 teachers. The data were analyzed using content /thematic analysis. Two techniques were used for increasing the trustworthiness of data including member check, and peer review or debriefing. The findings were labeled in three categories comprising the quality of theoretical and practical knowledge change, the change channels of theoretical and practical knowledge of teachers and the factors influencing the change of teachers' theoretical and practical knowledge. These categories embraced the sub-categories. As sum, the results revealed that the low quality of teachers' in-service curriculum bring the unimportant change in theoretical and practical knowledge of teachers. Design and development of teachers' in-service curriculum, needs change in instrumental perspective of designers and executives of curriculum-making toward change phenomenon in teachers.

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Curriculum Based Measurement (CBM) is a supervision method of student’s educational achievement through direct assessment of predicted skills in the curriculum. Although almost half a century passes from the introduction of CBM in the world, however it has not been considered in Iranian curriculum. So, the aim of this research was to introduce and investigate the impact of CBM on math achievement of elementary students in comparison with conventional methods of formative evaluation. The present study based on the goal is applied research and in term of data collection is quasi experimental method with control group and pretest for a sample of 3rd grade elementary students. Results of Analysis of Covariance showed that CBM has significant effect on elementary students’ math achievement. Based on this research results, it is recommended that CBM is used in elementary curriculum as a more effective method of formative evaluation.

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The main purpose of this study was to compare the performance of grade-skipped students with their peers in mathematical reasoning and applying. In this study, gender and mathematical self-concept were considered as effective variables. This study was a part of a longitudinal study.  The data analysis was performed through repeated measurements and the results showed that in applying math concepts, grade-skipped students outperformed their peers. However, there was no significant difference between grade-skipped students and their peers regarding the reasoning; although the 4th-grade students are better than the 3th-grade. The girls and boys showed the same function on applying, reasoning and between grade-skipped students and non- grade-skipped. Mathematical self-concept was also similar in three groups. It seems that grade-skipping does not have negative effects on math performance. Of course considering other academic contexts, emotional and social aspects and pursuing the effects of acceleration in long-term is necessary for informed decision-making in the field of grade-skipping.

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Recently, the National curriculum of Islamic Republic of Iran has been developed by the Ministry of Education to provide educational policies. In this document, an implicit emphasis on so called context base aspect of the program can be seen in the mathematics curriculum framework section. In this paper, I first, introduce the different aspects of context base Mathematics Education, and then this educational approach has been traced in the newly written mathematics textbooks in Iran

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The aim of this paper is to study the relationship between algebra content formation in mathematics textbooks and the mathematics teachers’ current knowledge. Based on this aim, we have considered three subjects: 1. mathematics teachers’ current knowledge of algebra, 2. the beginning and presentation methods of algebra content on the number of selected previous textbooks and 3.the role of previous textbooks content in teacher knowledge forming. Research Methodology had been a survey, content analysis, and historical and documentary analysis. This study showed that the teachers' knowledge and teaching methods do not coincide with the algebra content of the current seventh-grade mathematics textbook, and about 30% of teachers’ knowledge is based on the experiences of the previous textbooks.
 

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In this research we investigated female elementary students’ level of mastery over science and mathematics content and explained the nature of relationship between students’ level of mastery and learnability of content in science and mathematics. 914 female students of public senior elementary schools in Kashan were recruited. The needed data for fourth and fifth graders were gathered through researcher-made tests; the data related to sixth graders were gathered through standard exams taken from the students of this grade in the end of semester. Content validity of tests was verified by connoisseur teachers in each grade and was confirmed by structural equation modelling. For explaining the quantitative findings, we implemented 9 interviews with experienced and expert teachers which were selected through purposeful sampling method. The main analysis revealed that students learning is significantly lower than the mastery level in almost half of the science syllabus and all of the mathematics syllabus.
 

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Main purpose of current study is Content analysis of mathematics textbooks in primary and secondary school in terms of the amount of activities which designed based on problem-posing approach. Type of this research is qualitative and mathematics textbooks in grades 1-9 which published in 1398 school year were considered as statistical population. In this regard, firstly, the key words that confirm the problem-posing were identified, then the situations were identified in the textbook, and finally the situations were categorized   according to theoretical framework from literature. Finding of this research shows that there are only 40 problem-posing situations in these mathematics textbooks which 60 percent of them appeared in the second three years of primary school textbooks. Moreover 67.5 percent of these problem posing situation have semi-structured context. Comparison between the number of problem-posing activities and problem-solving activities in mathematics textbooks show that textbooks writers had little attention to problem-posing activities.

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  The purpose of this research was to employ a mixed method of convergent triangulation design to evaluate the seventh-grade math curriculum. qualitative phase of  study was a case study, whereas quantitative stage was an evaluation study with the CIPP model. research population consisted of  seventh-grade female mathematics teachers and students of Islamshahr. purposeful sampling method was a strategy to collect qualitative data through a semi-structured interview in the qualitative inquiry, while multistage random cluster sampling was running to fill questionnaires and analyzing final exams in the quantitative study. results showed that quality of the context is high and desirable, where the condition of input is low and unsuitable. Moreover, the quality of the process and product was acceptable from the teachers and students' points of view. In addition, analyzing mathematics examinations indicated that the knowledge of students is insufficient, while they did not also have a positive attitude towards mathematics.
 

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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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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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Abstract The main purpose of the study is to design a valid model for the problem-oriented curriculum in elementary mathematics. The research approach is quantitative. In designing the model, which was done by structural-interpretive modeling method, 19 specialists of curriculum planning and mathematical education of Arak city participated. To determine the validity, with the method of partial least squares, the designed model in the form of a researcher-made questionnaire was provided to 355 specialists by random sampling method. By identifying the components of objectives in three levels of cognition, attitude, skill and curriculum content, method and evaluation of the problem-oriented curriculum model were designed and validated.. Findings showed that the characteristics of objectives in level "cognitive" and "attitude" are considered as the underlying components of the problem-oriented curriculum model in mathematics and affect the characteristics of objectives at the skill level. Skills characteristics also affect curriculum content characteristics, method, and evaluation.

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Following the latest mathematics curriculum reform of the first cycle of elementary education in Iran and the experience of about a decade of implementation of this program, the aim of the present study was comparing the intended implementation of this program with the implemented mathematics curriculum. The framework used in this study is Akker's 10-element model, which considers the various components in the curriculum. Identifying the characteristics of the implemented mathematics curriculum in the first period of elementary school was done using the triangulation design. For this purpose, qualitative data were collected through observing the teaching process in classrooms, semi-structured interviews, teachers' reports, and focus groups. The findings of this study showed some differences, shortcomings and weaknesses in the implementation of the curriculum, which were discussed and presented separately for the elements of the program. Finally, 25 solutions emerging from the findings of this research were proposed for future planning.
 

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The main purpose of this research was to investigate the barriers, facilitators, and continuance of implementing a creative instructional method (Collaborative prototyping of digital educational games using design thinking). This study employed a phenomenological study as a qualitative research method. The data were collected using a semi-structured interview. Participants included 20 teachers that have experienced the method mentioned above in their class teaching in primary schools. An abductive content analysis was conducted to determine the main and sub-categories. The identified barriers and facilitators were categorized according to the stages of the design thinking process: empathy, definition and idea generation, prototype construction and evaluation. Regarding continuance factors, six categories were identified: learning and instructional activities, content organization strategies, game conditions, teacher-related factors, student-related factors, and evaluation-related factors. Future research suggestions were discussed in light of the study findings.

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Learning math vocabularly is essential for language development and improving students' mathematics knowledge. The present research is descriptive-analytical, its purpose is applied and its approach is qualitative. First, by synthesis method, the researches done in the field of teaching mathematical vocabulary were reviewed and the types of words that need to be taught were categorized. Then, using content analysis method, the key words of math books were extracted. The sample of the research is the first to third grade elementary mathematics textbooks of Iran. In the synthesis section, the research community of all articles related to the teaching of mathematical vocabulary and the research sample, 36 articles are available, which were selected by searching the selected internal and external databases. The words extracted from the first to third grade elementary math textbooks were placed in eleven categories.