جستجوی مقالات مرتبط با کلیدواژه « آموزش ریاضی » در نشریات گروه « علوم تربیتی »

The purpose of this study is to examine the content of the eighth grade math textbook based on SOLO theory. The study method was descriptive-analytical by content analysis. The statistical population included all problems of the eighth grade math textbook and the sample is equal to the population. The research instrument is content analysis forms whose face and content validity has been approved by experienced mathematics teachers and instructors and the reliability has been determined using the Holsti formula 0.86. Data analysis method was performed using descriptive statistics. The results showed that about 29% of the book problems are dedicated to the unistructural level, about 38% to the multistructural level, about 31% to the relational level and about 2% to the extended abstract level. According to the results, the fifth chapter has the most problems at the unistructural level, the second chapter has the most problems at the multistructural level, and the third chapter has the most problems at the relational level. Also, the ninth chapter has the most problems at the extended abstract level, and on the other hand the first, second, fifth, seventh and eighth chapters do not have any problems at the extended abstract level.

The overall purpose of the present study was to design and validate a mathematics education model based on multiple solutions to develop creative thinking in high school students using a mixed exploratory research approach. In the qualitative section, the statistical population consisted of experts, experts and teachers of mathematics, 12 people were selected by purposive non-random sampling. Data collection tools were in-depth and semi-structured interviews based on the foundation data approach. Delphi technique was used to analyze the data, survey method was used for validity by the interviewees and retest reliability methods were used to calculate the reliability.Qualitative data analysis identified 16 themes. Among the themes, the main themes of selective procedure include solution of non routine problems (open - ended), multiple solution tasks and problem posing. In the quantitative part, to confirm the conceptual model, confirmatory factor analysis was used using Smart PLS software. The results showed that the degree of fit of the measurement model indices was optimal.

The purpose of this study is to investigate the extent to which educational goals of teaching Math are achieved from the perspective of elementary school teachers in the city of Qom. This research is qualitative in approach, practical in purpose and descriptive in nature. 30 participants were selected using the purposive sampling method considering the theoretical saturation rule. The data collection tools were a researcher-made questionnaire and a semi-structured interview. The data were analyzed and coded using MAXQDA10 software. The results obtained from the participants' opinions and data analysis show that some educational and training objectives, such as understanding the concept of numbers and mathematical calculations, curiosity, problem-solving, and differences in students' interests and talents, have been addressed in the content of Math education as well as teachers' teaching methods. However, less attention has been paid to such educational goals as the effectiveness of Math education with the needs of society, fostering imagination, critical examination, discovering order and accuracy in the world, moral and spiritual growth, and utilizing the ideas of mathematicians. Participants also addressed the existing problems in Math education, the competence and professional development of teachers, and the use of digital facilities as mentioned in the text.

Education in virtual space has many points. In this article, its weaknesses are discussed. One of the weaknesses of virtual education in our country is the low speed of the Internet and the lack of sufficient infrastructure. The impossibility of face-to-face training is another problem of virtual training. Face-to-face communication is one of the most useful motivators in learning. The impossibility of group activity in virtual space is another weakness in this space. The purpose of this research is to investigate the disadvantages and challenges of virtual teaching of mathematics in the academic year of 2011-2014. The statistical population is all the students of three primary schools (Imam Sadegh (as) of Parkestan, Sadeghin Angouri, Allameh Majlesi of Shishkandep) of Sarbaz city. The total number of the statistical population includes 3 primary schools with the number of 270 students and the statistical population of our sample included 69 students. Their views regarding the disadvantages of virtual teaching of math lessons were collected through a questionnaire. The face and content validity of the questionnaire was confirmed by the opinion of educational experts and experienced teachers, and the reliability of the questionnaires was confirmed by calculating the Cronbach's alpha coefficient (α = 0.75). The data was analyzed using descriptive statistical tests and the t-test. The mean and The standard deviation of the total score of the advantages of virtual education (average of 5 scores) in students with virtual education was 3.1 and in students without virtual education was 2.8. With the independent.

The purpose of the study, which was conducted by content analysis method, is to evaluate problems of mathematics textbooks in the first cycle from the perspective of the components of mathematical literacy with the help of real-world problems. The ability to connect between the real world and the mathematical world or mathematical literacy is enhanced by contextual problems. The statistical population of math textbooks is the first, second and third grades of elementary school and the sample size is equal to the population. The research tool is content analysis checklists whose face and content validity has been approved by experienced experts and its reliability has been confirmed by Holst formula. The results showed that in general, 26.71% of the problems raised in these three textbooks are context-oriented and their number increases with increasing educational level. Standard application problems with 24.71% have been the most contextual problems raised in these textbooks, and yet in terms of the level of connection with the real world they are more similar to problems with separable contexts and no modeling problems in these books have not been raised. Finally, the contextual problems of these textbooks are far from the standard set in international mathematical literacy studies.

The present research has aimed to compare the competencies in teaching math using an IT-based approach in student-teachers and trainees admitted based on Article 28. A quasi-experimental approach was used, and static groups were devised, with the research sample consisting of 20 student-teachers and 20 Article 28 trainees from the province of Eastern Azerbaijan during 2018-2019. Both groups were provided with the content for teaching elementary school mathematics using multimedia software in Storyline. In order to measure the TPACK (technological knowledge, pedagogical knowledge, and content knowledge) variable level, the questionnaire devised by Sahin (2011) for the assessment of content knowledge -- consisting of the six TPACK microscales of content knowledge, pedagogical knowledge, technological knowledge, knowledge of teaching content, pedagogical-technological knowledge and content-technological knowledge -- was used, and the reliability and validity of the questionnaire were also assessed as desirable after preliminary use. As for the variable level regarding knowledge, computer skill and computer self-efficacy, the 33-item questionnaire devised by Seraji and Rostami (2016) on IT-based competences was used, and the total reliability of the questionnaire was determined to be α = 0.89. After pre-tests and post-tests were conducted, the results showed that the student-teachers scored higher in the components of content knowledge, pedagogical knowledge, technological knowledge, pedagogical-technological knowledge, and computer self-efficacy compared to the Article 28 group at 0.05 level of significance. The average scores obtained by the Article 28 group in the components of content-technological knowledge, cognitive-technological knowledge, and computer skills proved to be higher than those of the student-teachers group at 0.05 level of significance. Moreover, the results indicate no difference in regard to attitude toward IT or performance between the two groups.

The purpose of this research is to study and represent teachers' experiences of virtual education of children with special needs in mathematics. The research method is qualitative and phenomenological. The population of this qualitative study consists of teachers with special needs in Saqez city who had the experience of teaching mathematics to elementary students in schools for children with special needs in the academic year of 1401-1400. The participating teachers were selected purposefully. A semi-structured interview was used to collect data, and the data collection and interview process continued until theoretical saturation. After recording the interview, they were transcribed. In order to confirm the validity and reliability, the findings were presented to the participants and their comments were received. Then, the main themes and sub-themes were extracted using the seven-step Claysey strategy. The findings include 7 main themes: family impact, unrealistic evaluation, infrastructure for virtual education, teacher empowerment, new opportunities, disadvantages, and effective teaching strategies. The results of the research showed that families, as the audience of virtual education, should be apprised of this kind of education and courses on the effective use of virtual capacity in education should be organized for teachers so that virtual education can play a role as a supplement to face-to-face education in teaching mathematics in the future. It is also necessary to consider special measures and considerations in virtual education for children with special needs of different spectrums.

The National Council of Teachers of Mathematics (NCTM) has emphasized valuing mathematics in the flow of life and developing the mind and thinking. All students should manage to communicate mathematically, reason mathematically, and have an appreciation for mathematics. This study was conducted to identify the factors affecting mathematics learning by students. The meta-synthesis technique presented by Sandelowski and Barroso in 2007 was first applied in 7 steps. In the first step, questions were designed, and in the second step, papers were searched through keywords concerning the questions. In the third step, 215 found papers were filtered and 61 papers concerning the questions were obtained using the critical appraisal skills programme (CASP). In the fourth and fifth steps, the codes were extracted and categorized by MAXQDA software, and in the sixth step, two documents were re-coded by a member of the expert panel to confirm the validity of the coding, and the Kappa coefficients for these two documents were 0.64 and 0.68, respectively. In the seventh step, the outputs of the software led to the development of a questionnaire whose validity was confirmed based on CVI and CVR, and its reliability was confirmed by the Delphi method in 3 steps by Kendall's coefficient of concordance (W). The standard deviation of experts' opinions was 0.856 in the first round, 0.8297 in the second round, and 0.7951 in the third round. Kendall's coefficients of concordance for these three steps were 0.5569, 0.6720, and 0.7900, indicating high concordance of experts' opinions. Finally, 17 sub-criteria and 6 main criteria for learning mathematics were identified by meta-synthesis technique and checking the opinions of experts in mathematics education.

The present study aimed to identify and rank the effective indicators in the curriculum of mathematics major in Farhangian University, from the perspective of student teachers, through Fuzzy analytical hierarchy process approach. This study is an applied research in terms of purpose, and is a case study in terms of nature and method. Considering the research instrument, open-ended interview with summative content analysis approach was utilized to identify the most important indicators in the curriculum of mathematics education major in Farhangian University. Using purposive sampling technique and observing the principles of saturation and maximum variation, 20 student teachers were selected as research samples. In the second step, in order to rank the selected indicators, 10 experts in the area of developing curriculum were purposefully selected from education department of Bandar Abbas city, Hormozgan province, and they were assigned to determine the importance level of each indicator compared to other indicators in the questionnaire. Then, the data were analyzed through fuzzy analytical hierarchy process approach. Despite fact that university curriculum planners believed that all elements of an effective curriculum have been properly observed and considered in designing the curriculum of mathematics education major; based on the findings of this study, teaching strategies, content and learning activities, objectives, physical space, teaching resources and assessment were respectively the most important elements that were considered in planning this curriculum. According to the above-mentioned results, Farhangian university branches can use results of this study to select effective indicators in planning curriculum of mathematics education major.

The aim of the present study was to investigate the quantitative and qualitative effect of sixth grade mathematics teaching in flipped on the learning outcomes of cognitive domain. , Quasi-experimental method was used and in the qualitative method, semi-structured interviews and observation were used.The statistical population of the study included all sixth grade male and female students in Pirbakran region. The sample included 16 sixth grade male and female students. Mathematics topics were taught in two ways, normal and flipped, using pre-test and post-test in two groups of control and experiment.Quantitative data were analyzed in two levels of descriptive and inferential statistics, and in the qualitative part, interviews with students, parents and teachers were coded and categorized. Findings showed that students' scores on superficial and simple cognitive outcomes in flipped and normal education were not significantly different between the two methods, but the flipped method improved the scores of male and female students in complex and deep cognitive outcomes and improved performance. Students became cognitive in complex and profound outcomes.Also, flipped education did not have a significant effect on the mentioned components on girls and boys. In addition, students 'independence in learning mathematics and students' activities at home in the flipped classroom increased; It also solved the problem of lack of teaching time in person, especially during the coronary heart disease epidemic.

Mathematics is one of the most important areas of the educational structure for students with severe and multiple disabilities, including autism spectrum disorder. Acquiring math skills for children with autism is much more difficult than reading and writing. These children have more difficulty processing mathematical information than reading and writing. Limitations in the field of identifying effective strategies to solve math problems in children and adolescents with autism and problems that most of these children and adolescents face in math-related skills, the need for research and increasing attention to this area Therefore, the purpose of this study was to investigate the effectiveness of teaching basic math concepts using the Applied Behavior Analysis (ABA) method on increasing the math skills of children with autism.

The present study is an applied goal and is among the quasi-experimental projects with a single case method. The design was AB and using available sampling method, 3 students with high performance autism spectrum disorder were selected. The measurement tool in this study was Garz questionnaire, K-Matt and Berge test.

The results of the present study show that the basic mathematical skills in each of the subjects increased after the intervention.

In mathematics education, based on the ABA method, it is possible to teach mathematical concepts in a microcosm. In this method, the use of reinforcements and educational cardboard makes the process of teaching mathematical materials less attractive and less tedious, which in turn causes the math skills to increase over time.

Monitoring quality of educational system to ensure the quality of students' learning is one of the main responsibilities of educational systems and is considered as one of the indicators of the quality of education. In this regard, assessing students' learning in mathematics - as one of the key subjects - has significant importance. In this study, to assess quality of students’ learning in mathematics in the final grade of elementary schooling, a sample of 9720 sixth grade students in Tehran City was selected using a stratified two-stage cluster sample design. 264 math questions were distributed among students using matrix sampling. The results showed that the average performance of sixth grade students was 463, which is lower than the average scale (500). Also, girls performed better than boys. The comparison of different types of schools showed that public school students had performed weaker than students in other types of schools, but the difference in the students’ performance among other types of schools was not significant. In addition, there was a significant difference between the mean of students’ performances in different educational districts: the best performance was seen in districts 3, 2, 5 and 6 and the weakest performance was seen in districts 19, 15 and 18. The observed differences were almost noticed between public schools and schools with board of trustees too. In general, students of Tehran showed a relatively poor mathematics achievement, additionally, their achievement varies group by group.

The aim of this research was to discover the most effective factors influencing students learning in secondary schools mathematic courses. With regard to the exploratory nature of this aim, researchers designed a comprehensive questionnaire for measuring diverse variables related to the learning of mathematics that measured student’s perceptions or learning experiences. Then, the GPower software was used for determining the required sample size and collecting survey data. Nine public secondary schools were randomly selected through the cluster sampling method. After the implementation of the questionnaire on high school 10th graders in each school, finally 575 complete and analyzable questionnaires were returned. The exploratory factor analysis was implemented and two categories of interrelated factors were detected; one concerning student’s self-conceptions and the other, concerning student’s perceptions about their teachers. The multivariate regression showed that student’s perceptions of themselves has a powerful influence on their learning in math courses. After implementation of mixed models' method and controlling the effect of student’s academic major, it was revealed that student’s mathematical self-concept and student’s study skills in math have the greatest influence in their academic achievement in mathematics. The most important implication of this finding is the necessity of promoting student’s positive self-concept in math and guiding their specific and suitable skills for individual study. Many teachers say: “how can I teach math more effective?” these findings put this question forward: “how can I promote my student’s math self-concept and study skills”. It seems that the aforementioned question could be an invaluable challenge for math teachers.

This article aims to identify the impact of contextual and symbolic locations on adolescents' success in mathematics learning as a result of the teaching process. The theoretical approach of this research is the integrated and multidimensional view of "pedagogical content knowledge". In this approach, the role of contextual conditions, especially social variables in all aspects of education and learning is key; and the socio-cultural nature of this process is quite prominent. In fact, educational goals will be achieved in the light of identifying social and cultural conditions, and how they affect the educational process. The research method, according to the facilities and nature of the research, is social measurement; and most of the research report is based on survey results. The research samples, including 398 adolescents, were from six different high schools in Alborz province. The research results, with the ability to explain 57% of the changes in students' math scores, reveal how the research hypotheses have been confirmed. The results of multivariate regression analysis suggest that classroom conditions, as the most important symbolic place in mathematics and physics education, play the most reinforcing role in obtaining a mathematical score. In addition, it is clear that the moral and disciplinary conditions of the respondents are the most important contextual variables that guarantee the .educational and learning conditions of the learners

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.

The purpose of this study is to investigate the effect of Open-Ended probloms on the problem solving ability of 7th grade female students. This research is a quasi-experimental of pre-test, post-test type having a control group. The statistical universe of the study includes all 7th grade female students of Baghbaderan in the 1392-93 academic year. The sample consisted of 62 female 7th grade students in two, experimental (32 students) and control (30 students) groups that were selected using random method. Measurement tool of this study is three exams that were designed by researchers of this syudy, and their reliablity were obtained 0.79,0.81 and 0.80. First, both experimental and control groups took pre-test, then experimental variable (Open-Ended problems) was implemented to experimental group during 11 sessions in. In control group, same topics were trained using traditional method. Then the post-test was taken for two groups. Data analysis was accomplished by using descriptive statistic method (mean, standard deviation) and inferential tests such as analysis of independent t-test and Mann-Whitney Test. Results of t-tests demonstrated that mathematical problem solving abilities of students in experimental group are more than the students of control group.

Cognitively-guided instruction is an approach in math teaching based on metacognition which emphasizes discovery and uses language and conversation of math. CGI explains how the students can develop their math understanding while benefiting from a minimum prior math knowledge and interaction with other students. The present research is applied and quasi-experimental. Population of the research included fourth-graders in elementary school of the first district of Arak with a sample of 50 participants chosen via tow step clustered sampling to be put into two experimental and control groups. After conducting the pre-test of math anxiety, learning and instruction were conducted according to cognitively-guided instruction in five 45-minute sessions in the control group, and ordinarily in the experimental group. To investigate any change in learning factor, the students’ capability of math problem-solving were compared; to investigate anxiety, the Mathematics Anxiety Scale for Children (MASC) was employed. To analyze results of Self-direction in learning, the expert analysis method, and to analyze data from the anxiety questionnaire, the Analysis of covariance (ANCOVA) were used. The findings showed that the cognitively-guided instruction positively affected learning and recalling, and anxiety in math classes. This method facilitates learning and recalling of mathematics and reduces anxiety in math.

The aim of this study was to investigate and compare the performance of fourth grade girl and boy students in solving mathematical word problems based on the Newman error analysis model. The research method is descriptive survey. The statistical population is the fourth grade students of Tehran's 12th district that 339 students were selected by using cluster sampling. The instrument is a researcher-made test consisting of four descriptive questions whose face and content validity was confirmed by several professors and experts in mathematics education. The reliability of the instrument was obtained according to Cronbach's alpha coefficient of 0.8, which was at a desirable level. According to the results, there is a significant difference in the performance of girls and boys in solving word math problems and in general, boys had less difficulties in solving these types of problems. The results showed that students' excessive reliance on their procedural knowledge and shallowness of their conceptual knowledge can be one of the reasons for their weakness in solving word problems. Also, the small number of word problems presented in the mathematics textbooks of the first to fourth grades of elementary school and as a result of insufficient education in this regard are other negative factors affecting students' ability to solve word problems.

The aim of this study is to compare the effectiveness of math education on self-esteem and self-efficacy of students with math learning disabilities, writing and normal students based on the McCarthy model. Because of the nature of this study, the mothed was quasi-experimental (pre-test-post-group test).   The statistical population of the study included all sixth grade students with learning disabilities (math and writing) and non-learning disabilities in Ardabil in the academic year 1397-98. Sampling of this study indluded simple random sampling for Students with special math and writing learning disabilities (20 people from each group) Refering to the centers for learning disabilities in Ardabil and randomized cluster sampling from normal students in Ardabil (40 people).  Data were collected using the Rosenberg Self-Esteem Scale and the Scherer General Self-Efficacy Scale in the pre-test and post-test stages in all four groups.  The obtained data were analyzed by SPSS-24 software and covariance statistical method.  The results of analysis of covariance showed that there was a difference between self-esteem and self-efficacy of experimental and control groups (P <0.05).  In other words, the results showed that their mean scores were significantly higher in the experimental group than the self-esteem and self-efficacy of the experimental group.  The results of this study can be used in educational settings to improve the status of its components (self-esteem and self-efficacy) of students with learning disabilities and normal.

The main purpose of present study was to investigate the effect of teaching problem solving using drawing strategy on word problem Solving performance of seventh grade students. This study was fundamental in terms of purpose and in terms of implementation a quasi-experimental method using pre-test and post-test design with the control group. The number of students in the experimental group and the control group was 207 and 216, respectively. To determine reliability, in a implementation, the questions of both tests were performed on a sample of 30 students, and Cronbach's alpha of the pre-test questions was 0.81 and the post-test questions was 0.77, which was desired. Results showed that students usually use non-formal strategies to solve word problems. However, after learning the drawing strategy, they prefer to use this strategy rather  than problem-solving strategies. They also draw various shapes to solve problems. This means that the shapes are not unique, and students draw the shape according to their personal and previous experiences. In addition, using parametric t-test, the difference between the problem-solving performance of the experimental and control group students in the pre-test and post-test was significant, meaning that the experimental group students performed better in solving word problems.