Education technology -training course
M. Mehri Tekmeh; M.A. Fariborzi Araghi; E. Reyhani
Abstract
Background and Objectives: The purpose of this study is to investigate the use of researcher-made examples by GeoGebra software as an educational tool to increase the learning skills of geometric theorems and assess the attitude of 11th-grade math students towards geometry and provide a practical model ...
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Background and Objectives: The purpose of this study is to investigate the use of researcher-made examples by GeoGebra software as an educational tool to increase the learning skills of geometric theorems and assess the attitude of 11th-grade math students towards geometry and provide a practical model for teaching geometry.Methods: This research is a quasi-experimental type with an experimental group and a control group. It uses pre-test and post-test and is applied in terms of purpose. The statistical population of the present study included all-female high school students in the eleventh grade of mathematics in the districts three and four of Isfahan in the academic year 2021-2022. The statistical sample consisting of 120 students was purposefully selected using the available sample method. A pre-test of geometry course 1 as well as a three-scale Cattell intelligence test were administered to all groups in the same manner. A researcher-created questionnaire on a five-point Likert scale was given to all groups to assess the students' attitudes towards geometry before and after the research. The opinions of experienced education consultants and teachers were used to assess the validity of the questionnaire, and after correction, it was made available to students. The Cronbach's alpha coefficient was used to determine the reliability of the questions. Reliability was 0.93 indicating the high reliability of the questionnaire. The experimental group was taught how to use, construct simple shapes, and measure the components of shapes in GeoGebra via cyberspace, and their problems were solved by the researcher in five one-hour sessions.A researcher- created nine practical examples related to the sections of the circle and transformation sections in Geometry 2 using the opinions of five experienced professors and teachers, their answers were designed using GeoGebra software, and they were provided to the experimental group. Using this software, they guessed the components and checked their accuracy. The correct answers were then given to them. They also deduced the original form of the relevant theorems and demonstrated them. During this time, the control groups were given the contents of this section of the book in the traditional manner. The post-test was administered equally for all groups at the end of this period. The inferential part of SPSS 25 software, which included MANCOVA analysis, Kolmogorov-Smirnov test, Levin test, and M box test, was used to analyze the obtained data.Findings: The results of MANCOVA analysis show that the use of examples made by GeoGebra software compared to traditional teaching has a statistically significant effect on students' ability to guess and learn geometric theorems. In addition, the questionnaire given to the students show that they value the use of GeoGebra to solve these examples and guess and prove the theorems related to them and have more motivation to participate in the geometry class. Conclusion: According to the findings, the teaching method of proving a geometric theorem by using examples made by GeoGebra software increases the amount of learning in the classroom and increases students' motivation to learn geometry, and makes the classroom more attractive to them. This method increases students' creativity and causes them to be more involved in the learning process and becomes more active in the classroom, and these skills enable students and facilitate learning in the geometry classroom. There were some issues with the research. Some school principals, for example, refused to allow this method of teaching geometry. Some geometry teachers were also unfamiliar with GeoGebra software. In-service courses in this area are ideal for math teachers who want to help their students learn geometry more effectively and enthusiastically.
Curriculum Planning
G.A. Ahmady; H. Sheikholeslami; A. Assareh; E. Reyhani
Abstract
Background and Objective:The role of mathematics in various fields of science and technology and its usefulness in improving human life has been so effective and irreplaceable that it has been called the mother of sciences. Therefore, the development and improvement of mathematics curricula has always ...
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Background and Objective:The role of mathematics in various fields of science and technology and its usefulness in improving human life has been so effective and irreplaceable that it has been called the mother of sciences. Therefore, the development and improvement of mathematics curricula has always been on the agenda of curriculum planners. In such a way that these programs can provide more and more ground for the development of process, skills and attitudes of learners in mathematics and they lead to the growth and development of their understanding and logical reasoning. Therefore, achieving the goals of mathematics education should be monitored in different ways. International tests that are conducted for this purpose are designed and implemented to measure the mathematical literacy of students in participating countries and indicate the sensitivity of educational systems to the performance of students' mathematical performance. This paper evaluates the curriculum of 10th grade mathematics from the perspective of the respective teachers working in Tehran, Iran. Methods: The research is based on Aker’s curriculum elements and it also has emphasis on the mathematics context-based approach. The method is descriptive background study. The tool for the research is a self-constructed questionnaire which has been validated with the content validation method. The Cornbach’s alpha test has been utilized to test the consistency of the questionnaire which resulted in value equal to 0.910. The statistics sample size is equal to people all of which has been working as teachers throughout the 2017 academic year. To attain samples, we utilized multistage cluster sampling that carried out on a sample of 111 respective teachers. One sample t-test was used to answer the research question. Findings: The results reveal that the answer to the 6 research question were negative. That is, in curriculum of 10th grade mathematics have not been noticed to the context-based mathematical curriculum elements. Conclusion: Evaluative studies are the bases of change and transformation of curricula. Changing math curricula to a performance-based approach and link of school mathematics to everyday life and students' experiences can reveal the usefulness of mathematics to them. In this way, the interest and motivation of learning in learners increases. Therefore, it is necessary to conduct other research in the theoretical dimension to formulate the theoretical foundations of this approach in accordance with the culture of the country, so that using these fundamentals, extract principles to design appropriate mathematics curriculum. Also, in practical aspect, it is suggested that the organization of the content of the tenth human mathematics textbook be changed so that the book begins with an issue of students' daily lives to help students recreate mathematical concepts. Changing the content organization requires taking the time to teach as well as educating teachers so that they can guide students during the modeling process.
Education technology -training course
E. Reyhani; Z. Sharifi
Abstract
Background and Objectives:One of the most important concepts in mathematics, which has always been difficult for students to understand, is the concept of limit. Due to the connection of this concept to many other concepts such as infinitely large and infinitesimally small, continuity, derivative and ...
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Background and Objectives:One of the most important concepts in mathematics, which has always been difficult for students to understand, is the concept of limit. Due to the connection of this concept to many other concepts such as infinitely large and infinitesimally small, continuity, derivative and integral, its correct understanding and comprehension is of particular importance and this has led to its teaching and learning by math educators. Although this concept has been explored many times in educational research by researchers, it is still difficult for students to understand. There are several ways to identify problems in understanding concepts, including the concept of limit. One of these methods is to study how concepts and structures are formed that students create to learn concepts in their minds. The aim of this study is to assess students, understanding of the concept of limit in the third year of secondary school based on the APOS theory. APOS theory is a theory of learning that is used in academic mathematics. The theory categories students’ understanding of concept across the levels, and is able to models mental structures that person to understand of the concept. Method and Materials: This research is a descriptive study using survey. The sample of this research is 234 students in third grade from Qarchak city who have been randomly selected. The instrument is a researcher-made questionnaire with six questions. The reliability of the test was estimated by Cronbach’s alpha and is approved in the amount of 0.82. Findings:The results show that most students do not have a good understanding of the concept of limit and they mostly can do the limit problems correctly, if they have a routine way to solve them. The weak structures affect not only their understanding of the concept, but also depend on the understanding of the concepts such as continuity. Conclusion: When introducing the concept of limit, the teacher can prevent the construction of correct schemas of the concept of limit by using slang and giving the initial idea. Because the role of the teacher in constructing a concept of limit is very important, if the teacher teaches in an inappropriate way, it may prevent the student from absorbing the concept of limit. Another reason for stopping the growth and development of the concept is the continuous evaluations in educational environments that do not emphasize the need for conceptual understanding of the concepts and are limited to routine methods to achieve better results. For this reason, doing research in the field of teaching and learning any concept in mathematics, such as the concept of limit, can lead to more effective teaching strategies.
Educational Technology - Public education
E. Reyhani; F. Fathollahi; F. Kolahdouz
Abstract
Reasoning and proof in mathematics education are important at all educational levels, from school to university. Understanding mathematics without emphasis on reasoning and proving is almost impossible. The purpose of this study was to investigate the university students’ conception of mathematical ...
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Reasoning and proof in mathematics education are important at all educational levels, from school to university. Understanding mathematics without emphasis on reasoning and proving is almost impossible. The purpose of this study was to investigate the university students’ conception of mathematical proof. For this, a survey method was used. The participants of this study were 170 students collected from four universities; Shahid Rajaee Teacher Training, Shahid Beheshti, Science and Technology and Amirkabir University of Technology as available samples. The data collecting Instrument was a questionnaire based on the modified version of Roy and et.al (2010). In this questionnaire a theorem with its proving was presented and then the students were asked to answer the questions about the process of making the mathematical proof. A model was used to evaluate the students’ answers to questions based on Ramos and et.al (2011). It is consists of both global and local aspects. This model investigates seven different levels of understanding of the process of making mathematical proof. The findings of the study showed that most of the students had a local comprehension of the proof. In fact, they understood the relations between the concepts and statements in the proof. But a small percentage of them had a more holistic comprehension of the proof. It seems several factors, including the lack of attention to the assumptions of the theorem, their inability to provide logical reasoning and rational organization of statements of the proof, and most importantly, the lack of students’ knowledge may be insufficient in this inability.
Education technology -training course
E. Reyhani; H. Mesgarani; F. Farmehr
Abstract
Teaching and learning geometry at secondary level have usually many problems. Researches indicate that use of Dynamic Geometry Software (DGS) can reduce some of these difficulties. The aim of this study is to investigate the effect of DGS on the ability of conjecture making in geometry problem solving ...
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Teaching and learning geometry at secondary level have usually many problems. Researches indicate that use of Dynamic Geometry Software (DGS) can reduce some of these difficulties. The aim of this study is to investigate the effect of DGS on the ability of conjecture making in geometry problem solving at secondary level. One hundred forty-four students and teachers participated at this study. Results have been analyzed using the recorded sessions and clinical interviews. It shows that DGS causes the students to activate more relevant resources, highlight the links between the schemas and improve the control process. It also has positive effects on the students’ belief system.
