GeoGebra Program Research Articles

Views of Mathematics Teacher Candidates on the Use of GeoGebra in Probability Teaching

In this study, it was aimed to reveal the opinions of mathematics teacher candidates about the use of the GeoGebra program, which is dynamic geometry software, in the teaching of probability, which is among the concepts that we generally use in the decision-making process in uncertain situations that we encounter in the teaching process by teachers and students. Within the scope of this purpose, a total of 65 elementary mathematics teacher candidates, who have taken statistics and probability courses at a state university, were given GeoGebra training for 4 weeks and made applications. After the training, a semi-structured opinion questionnaire consisting of 5 questions developed by the researchers was applied to the pre-service teachers. Besides, each participant was interviewed. The study is a case study, and the content analysis method was used in the analysis of the data. It has been determined that it is difficult to write equations in the subject of probability processed through GeoGebra and although it provides result-oriented solutions, it provides good and permanent learning in the context of reaching more sample solutions in a short time, it provides a pleasant, non-monotonous and interesting lesson opportunity by concretizing the subject. Also, it was concluded that dynamic elements provide permanence, but there may be difficulties in applications due to the lack of knowledge of computer use by teachers and students.

The effectiveness of the GeoGebra Programme in the development of academic achievement and survival of the learning impact of the mathematics among secondary stage students

The objective of this research is to identify the effectiveness of the GeoGebra program in developing academic achievement and ensuring survival of the learning impact of the mathematics among female secondary stage students. To achieve this objective, an experimental approach was applied. This consisted of a quasi-experimental design comprising an experimental group and control group with pre, post, and deferred assessments for both groups. The research was conducted with a random sample of 60 female third grade of secondary stage divided into two groups: an experimental group comprising 30 students who studied using the GeoGebra program and a control group comprising 30 students who studied in the traditional manner. The measurement tool consisted of an achievement test on scientific concepts in a polar coordinates and complex numbers unit at different cognitive levels (Application-Analysis). This was pre-applied to both groups in the second term of 2020. At the end of the experiment, the post application was conducted, and the deferred test was applied 10 days later. The results revealed that the experimental group were superior to the control group in achievement scores and survival of learning impact. Based on the findings, the researchers recommend the inclusion of GeoGebra program in mathematics curricula at various stages of education. They further recommend including this program in mathematics in general, and in polar coordinates geometry and complex numbers in particular.

A METHOD FOR PRESENTING A SECTION OF SPATIAL FIGURES USING

This article describes a method for representing the cross section of spatial figures (tetrahedron, prism) in geometry using the Geogebra program. In a geometry lesson, teachers have a great opportunity to use Geogebra elements to show that they can easily find the cross section of shapes in space. Note that, on paper, on a blackboard, sections of pieces in space, students rarely make out. And with Geogebra it's easy to show and visualize. Geogebra can also be used to make the lesson interesting, understandable, and innovative. In addition, students can save all work in electronic format for future use. Analysis of the questionnaire shows that after using the elements of this program in the class, students began to better understand the geometric representation of mathematical concepts. Therefore, the cross-section of figures in space can be made more efficient using the GeoGebra program.

The Effects of using Geogebra on 10th-11th grade students

Abstract.The article presents new trends in teaching methods through the Geogebra program, which can be especially important for the future development of e-learning for 10th-11th grade students. Also, the article gives an idea of the various methodological frameworks with several features, examples for teaching mathematics at the level of 10th-11th grade students on an interactive and creative path. This article discusses the conclusions of the didactic experiment, where it was found that GeoGebra was used in the teaching of algebra, geometry, graphing, 3D, and more! Especially integrals, polyhedrons, volume, and surface area of geometric shapes had a positive impact on understanding and knowledge of students. Also, a survey instrument was used to elicit students' perceptions on the use of GeoGebra. Analysis of the questionnaire responses indicated a positive overall perception of using GeoGebra in learning about circles.Keywords: GeoGebra, teaching mathematics, the mathematics of 10th-11th grade students, creative environment, didactic experiment, circles, interactive teaching method.

SAFA and GeoGebra Allies to Evaluate Natural and Cultural Sustainability: Yasuni Biosphere Reserve

The Yasuni Biosphere Reserve (YBR) occupies a unique biogeographic position in the world, where the richness of the four taxa (amphibians, birds, mammals and vascular plants) reaches maximum diversity. However, threats to species conservation are latent: the opening of roads, illegal logging, the advance of the agricultural frontier, oil extraction and the trade of wild meat in the western sector of the reserve. This paper aims to evaluate the sustainability of natural resources in multicultural communities: 1) Waorani Indigenous and 2) Migrant settlers, settled in the Diversity and Life Strip (DLS) in the YBR. Three households were defined per community, selected from the snowball sampling method. Thus, three methodological processes were applied: 1) Sustainability of natural resources using the SAFA program (version 2.4.1), it has four dimensions Good Governance (GG), Environmental Integrity (EI), Economic Resilience (ER) and Social Welfare (SW); 2) Direct observation; and 3) Lacing algorithm with the GeoGebra program used for the calculation of areas of simple polygons. The results showed that the dimension of least sustainability was ER in indigenous households and in-migrant settler households it was ER and SW. The largest sustainability area of 25,12 u2 in the migrant settler household1, while in Waorani indigenous the worst sustainability area had a value of 18,69 u2. The programs allow to promote a better understanding of the dynamics of the sustainability of natural resources. The issues identified as limited in the communities are a priority to improve sustainability.

Development of Educational Materials related to Phase Change of Moon using GeoGebra Program

Development of Educational Materials related to Phase Change of Moon using GeoGebra Program

DYNAMIC ENVIRONMENTS AS MEANS OF VISUALIZING MATHEMATICS TEACHING MATERIAL

The article deals with implementation of cognitive visualization in mathematics teaching using computer dynamic environments. Some directions are specified and examples of visualization of educational material on the theme "Surfaces in space" in the GeoGebra program are given.

ЗАСТОСУВАННЯ ПРОГРАМИ GEOGEBRA У ПРОЦЕСІ ВИВЧЕННЯ РОЗДІЛІВ «МНОГОГРАННИКИ» ТА «ТІЛА ОБЕРТАННЯ»

The school has always been and remains a kind of model and a mirror that reflects the life and problems of the society. The idea of implementing innovative technologies in education provides for achieving the goal of high quality education, in other words, education that is competitive, able to provide each person with conditions for independent achievement of a goal, creative self-affirmation in various social spheres. Interactive technologies in learning help to understand better the learning material, to develop communication skills and activity, to create opportunities for independent research. One such environment for dynamic mathematics is GeoGebra which is based on the principles of dynamic geometry and computer algebra that allows to combine design, modeling, dynamic variation and experiment, build geometrically accurate images, print documents and publications on the Internet. This article considers the various functional capabilities of the environment which should be used in the construction of geometric bodies. In particular such as scans, sections and combinations of geometric bodies. The article considers the advantages of the interactive environment GeoGebra in comparison with other environments of dynamic mathematics, the directions of using the package of dynamic mathematics GeoGebra in geometry lessons. There are also various functionalities of this environment, which should be used in the construction of geometric bodies. In particular, such as polyhedra, their scans and sections, combinations of geometric bodies. GeoGebra program allows you to show the sequence of images of geometric shapes. The construction of cross sections of geometric figures is shown in specific examples.

GEOGEBRA APPLIANCE IN THE TEACHING OF MATHEMATICS IN LOWER GRADES OF ELEMENTARY SCHOOL

Technology has been imposed on today’s students since their birth, them being surrounded by computers, tablets and other tools of the digital age. Mathematics is a teaching subject which represents the gratest obstacle to students in their schooling and prejudice against it has existed since the very beginning of schooling. Information and communication technology can make its learning much easier, both to students and teachers. The aim of the paper was to determine if there was a difference in the achievement of the students taught by contemporary GeoGebra classes and traditional classes. By conducting the research and interpreting the results, the GeoGebra program was found to have a significant role in learning of new contents in mathematics, and students have shown progress by working in the contemporary mode of GeoGebra program. It can be said that this program is very convenient in learning maths, especially in geometry, and the students were satisfied with their work in the program, what is confirmed with the results of the survey questionnaires on satisfaction issue.

GEOGEBRA APPLIANCE IN THE TEACHING OF MATHEMATICS IN LOWER GRADES OF ELEMENTARY SCHOOL

Technology has been imposed on today’s students since their birth, them being surrounded by computers, tablets and other tools of the digital age. Mathematics is a teaching subject which represents the gratest obstacle to students in their schooling and prejudice against it has existed since the very beginning of schooling. Information and communication technology can make its learning much easier, both to students and teachers. The aim of the paper was to determine if there was a difference in the achievement of the students taught by contemporary GeoGebra classes and traditional classes. By conducting the research and interpreting the results, the GeoGebra program was found to have a significant role in learning of new contents in mathematics, and students have shown progress by working in the contemporary mode of GeoGebra program. It can be said that this program is very convenient in learning maths, especially in geometry, and the students were satisfied with their work in the program, what is confirmed with the results of the survey questionnaires on satisfaction issue.

Analisis Minat Belajar Siswa SD Pangkalan Mencari Volume Bangun RUang Berbantuan Perangkat Lunak Geogebra

This study aims to analyze student interest in learning through the GeoGebra program. The method used in this study is a descriptive qualitative method with a population of all elementary school students in Pangkalan Bandung. The sample used in this study was 29 fifth grade elementary school students in Pangkalan in the matter of building volume. The instrument used was the Student Interest Scale with many 20 statement statements that had positive and negative responses about learning using the GeoGebra program. The scale of students 'interest in learning is used to look for responses from respondents on elementary / MI students' interest in learning on the GeoGebra program material. The results of this study indicate a positive response to the learning of the volume of the building using the GeoGebra program with the average response given indicates a strong category with the percentage of results obtained is 66,69%. The average is obtained from the data of each indicator of student interest in learning.

Pemanfaatan Program Microsoft Mathematic Dan Geogebra Untuk Peningkatan Mutu Guru Matematika Tingkat SMP Di Kabupaten Bantaeng Sulawesi Selatan

outcomes generated from this activity are as follows: 1) Enhance the ability of Partners in developing existing technology, especially computers in optimizing learning in the classroom through the Geogebra and Microsoft Mathematic programs. Middle School Mathematics Teachers in Bantaeng District are trained in making teaching materials, especially computer-based self-learning modules that are not only material and questions but must be able to develop children's abilities in constructing the concept of the material being taught. The Geogebra and Microsoft Mathematic programs are application programs that can be utilized in dealing with these problems; 2) Training for teachers who are members of the Bantaeng District Junior High School Mathematics Teacher (MGMP). The training material was in the form of a guidebook for the use of the Geogebra program and the Microsoft Mathematics and its use in mathematics learning developed by the Mathematics Department FMIPA UNHAS dedication team. The teaching materials will be used in the training as an initial stage for the teachers to recognize and master the Geogebra and Microsoft Mathematics programs.

GeoGebra application, used in the determination of the magnitude of an earthquake

In this paper, the authors tackle the earthquakes study with the aim of determining the magnitude. By means of a GeoGebra program (an open source programme), we encourage the secondary school scholars in modelling the data obtained from an actual earthquake. We intend to obtain the magnitude of an earthquake by a method that can be easily comprehended by the students. The model is based on Richter’s approach. In order to facilitate the process, a GeoGebra application was created that allows for an accurate calculus. The instrument presented in this paper assists in a better understanding of the Richter scale (including how it was built) and the correlation between the energy released by the earthquake, the amplitude of the waves and the epicentral distance. The students will be able to analyse a seismogram, to identify its main elements and to determine the magnitude of a simulated earthquake.
 Keywords: Earthquake, GeoGebra, seismogram, STEM, Richter scale.

PENGEMBANGAN MODUL BERBANTUAN GEOGEBRA PADA PERKULIAHAN GEOMETRI TRANSFORMASI

This study aims to develop and find out the quality of teaching materials in the form of teaching modules assisted by the geogebra program on transformational geometry lectures. The Geogebra-assisted transformation geometry module is structured systematically and accompanied by steps to solve transformation problems using Geogebra. This type of research is development research (Research and Development / R & D). The development model is 4D which consists of four stages, namely defining, designing, developing and disseminating. In this study, only three steps were carried out, namely the defining, the design, and the development stage. The research instrument is a module validation sheet. The product assessment was carried out by 3 validators consisting of 2 material experts and 1 media expert who was a lecturer in the mathematics education study program. The results showed that the assessment of the two validators of material experts on the geogebra-assisted transformation geometry module developed had an average total score of 3.38 with very good criteria, while for validators media experts had an average total score of 3.21 with very good criteria. Very good criteria from the results of the validation of media experts and material experts showed that the geometry module of geogebra-assisted transformation was valid and suitable for use as teaching material in lectures.

The Effect of the Teaching of Binary Forms Using Geogebra Program for Students of the First Intermediate Grade on the Achievement: أثر تدريس الأشكال الثنائية باستخدام برنامج الجيوجبر الطلاب الصف الأول المتوسط على التحصيل

The aim of this study was to investigate the effect of teaching binary forms using the GeoGebra program on the achievement of the first grade students. The study was limited to the level of understanding and remembering. The researchers used the semi-experimental approach, which is based on the design of the experimental and equal control groups with tribal and remote measurement. The study population consists of students of the first grade intermediate in the school of Subt al-Jarah in Qunfudah governorate for the academic year 1438/1439 AH (54 students) , of whom 29 are students In the control group, (25) students of the experimental group, which was studied using the program of GeoGabra for the lessons of binary forms, and the study found that there are differences in total achievement and at the first two levels of the classification of Bloom, the memory and understanding, between the experimental group and obtained a general average (26.60) (30) , and (16.34) and the difference between them (10.26) by (34.2%) for the benefit of the experimental group. The researchers recommended using the GeoGabra program to teach binary forms, rather than the traditional method.

Elaboration of a New Packaging using the Geogebra Program Avoiding Losses and Reducing the Costs

O design de uma embalagem esta diretamente ligado a sociedade, em seu desenvolvimento economico, social e ambiental, tendo influencia em todo o setor produtivo de uma empresa. Este trabalho tem o objetivo de analisar a importância do design do produto, neste caso a embalagem, para melhorar a embalagem e identificacao das pecas produzidas pela empresa e que estao inseridas dentro da mesma. A fim de reduzir o numero de pecas que nao sao mais enviadas ou perdidas no transporte, reduza o custo dessas perdas e reduza o custo das embalagens. Para realizar a pesquisa, os dados foram coletados por meio de entrevistas e visitas a empresa. Os dados de perdas foram analisados ​​utilizando o software Minitab 18 e as embalagens elaboradas atraves do programa Geogebra versao 6.0.498, com o qual foi possivel observar uma reducao de 1.114 pecas, com uma previsao de economia anual de 68,28%, referente aos dados coletado de marco a agosto.

Pengembangan Bahan Ajar Matematika dengan Memanfaatkan Geogebra untuk Meningkatkan Pemahaman Konsep

This study aims to find out the characteristics of the appropriate book for improving understanding of mathematical concepts, especially on the subject of function by utilizing Geogebra program. The research method used is research and development, where the research is intended to develop and produce certain products, and test the effectiveness of these products. Subjects in this study were students of SMP Negeri 6 in the city of Serang with a limited scale test conducted on 5 students, while field tests were conducted on 15 students. The conclusions developed in this study that use the teaching materials by utilizing Geogebra program have improved conceptual understanding compared with the students before using the teaching materials.

Solving the heart curve with geogebra

Heart symbols are used as expressions of love. There are several mathematical explanations that can produce a curve in the shape of a heart symbol, the most famous of which is cardioid. Graphs that look exotic like cardioid and limacon can be solved using polar coordinates. Polar equations r = a ± b cos θ and r = a ± b sin θ, with a and b positive are called limacon curves, for the special case a = b is called the cardiod. Computer technology is an alternative that can be used to help this. One of the computer programs that can be utilized as a medium of mathematics learning especially in drawing the heart curve is GeoGebra. GeoGebra is a dynamic mathematical software that combines geometry, algebra, and calculus. GeoGebra program serves as a learning medium that provides a visual experience to students in interacting with the concept of polar coordinates in solving the problem of the heart curve.

أثر برنامج الجیوجبرا فی تدریس الهندسة على التحصیل وخفض القلق الهندسی لدى طلاب الصف الأول الثانوی

هدفت هذه الدراسة إلى : معرفة أثر برنامج الجيوجبرا في تدريس الهندسة على التحصيل الدراسي لدى الطلاب مقارنة بطريقة التدريس الاعتيادية , ومعرفة أثر برنامج الجيوجبرا في تدريس الهندسة على خفض القلق الهندسي لدى الطلاب مقارنة بطريقة التدريس الاعتيادية, وتقديم برمجية قائمة على برنامج الجيوجبرا لوحدة التوازي والتعامد. ولتحقيق هذا الهدف استخدم الباحث المنهج شبه التجريبي المعتمد على تصميم ذي المجموعتين إحداهما تجريبية تدرس باستخدام برنامج الجيوجبرا والأخرى الضابطة تدرس بالطريقة المعتادة وتطبيق الاختبار التحصيلي ومقياس القلق الهندسي قبليا وبعديا على کل من المجموعتين لدراسة أثر المتغير المستقل على تحصيل الطلاب وخفض القلق الهندسي لدى الطلاب . وفي ضوء المعالجة الإحصائية المناسبة لطبيعة الدراسة , أظهرت النتائج ما يلي: وجود فروق ذات دلالة إحصائية عند مستوى دلالة (0.05 ≥ α ) بين متوسطات درجات طلاب المجموعتين التجريبية والضابطة في الاختبار التحصيلي البعدي عند مستويات (التذکر-الفهم – التطبيق- التحليل- التحصيل الکلي) لصالح المجموعة التجريبية وبحجم أثر مرتفع . و وجود فرق دال إحصائيا عند مستوى دلالة (0.05 ≥ α ) بين متوسطي درجات طلاب المجموعتين التجريبية والضابطة في مقياس القلق الهندسي وبحجم تأثير مرتفع لصالح المجموعة التجريبية . ووجود علاقة ارتباطيه ذات دلالة إحصائية عند مستوى ≤ 0.05 بين مستويات التحصيل الدراسي والقلق الهندسي لدى طلاب الصف الأول الثانوي . وفي ضوء نتائج الدراسة يوصي الباحث بعدة توصيات أهمها : توفير برمجيات تعليمية باستخدام برنامج الجيوجبرا بما يتناسب مع الموضوعات الدراسية لمادة الرياضيات في المرحلة الثانوية . وإعداد أدلة إجرائية للمشرفين والمعلمين لتعريفهم بکيفية استخدام برنامج الجيوجبرا وکيفية عرض الدروس عليه . The current study is titled as the following title :The Effect of Geogebra Program of Teaching Geometry on the Achievement and the Reduction of the Geometry Anxiety among First Year Secondary Students This study aims to determine the impact of geogebra program of teaching geometry on academic achievement among students, to recognize its impact in the reduction of geometrical anxiety among students compared to the traditional methods of teaching and to provide software based on geogebra program for the parallel and orthogonal unit. In order to achieve this goal, the researcher used the quasi-experimental method which is depend on design experimental group taught by using geogebra program and the control group taught by using the usual method and apply the achievement test and the geometrical anxiety scale on the two groups in order to study the effect of the independent variable on the achievement and the reduction of the geometry anxiety the students, and for the analysis of data, the researcher adopted SPSS using T-test. By looking at suitable statistically processing for the nature of the study , the study brought these results : there are statistically significant differences at the level (0.05 ≥ α) between the mean scores of the experimental group and control group students in the post test at the levels (knowledge, comprehension, application, analysis and total achievement) in favor of the experimental group with high effect and there are statistically significant difference at the level (0.05 ≥ α) between the mean scores of the experimental group and control group students in the geometrical anxiety with high effect in favor of the experimental group . In addition to that , There is statistically significant correlation at the level (0.05 ≥ α) between the academic achievement levels and the geometrical anxiety among the first year secondary students. Finally , according to the above results, the res researcher recommended providing educational software using geogebra program that is suitable with the topics of mathematics in the secondary stage, preparing a procedural guides for supervisors and teachers to know how to use geogebra program and how to present the lessons on it .

اتجاهات المعلمین والموجهین نحو استخدام برامج الحاسوب التفاعلیة فى تعلیم وتعلم الریاضیات

هدفت هذه الدراسة إلى الکشف عن اتجاهات المعلمین والموجهین نحو استخدام برنامج الجیوجبرا کأحد برامج الحاسوب التفاعلیة فى تعلیم وتعلم الریاضیات. ولتحقیق ذلک تم اعتماد المنهج الوصفى واستخدمت الاستبانة کمقیاس اتجاه للإجابة عن أسئلة الدراسة، وقد تکونت الاستبانة من (23) عبارة موزعة على أربعة محاور، وتم تطبیقها بعد التحقق من صدقها وثباتها على عینة عشوائیة مکونة من (85) معلم وموجه للریاضیات بمحافظة القاهرة. واستخدم اختبار ت وتحلیل التباین الأحادى للتعرف على دلالة الفروق بین متوسطات إجابات أفراد العینة وللتحقق من صحة الفرضیات والإجابة عن أسئلة الدراسة. وقد أظهرت النتائج اتجاهات إیجابیة لجمیع محاور الاستبانة نحو استخدام البرنامج المقترح، إلا بعض عبارات المحور الرابع فقد ظهرت بعض الاتجاهات السلبیة نحو معوقات استخدامه. کما أکدت النتائج على أنه لا توجد فروق ذات دلالة إحصائیة بین متوسط استجابات أفراد العینة على محاور الاستبانة الأربعة تبعا لمتغیرات: الجنس، الوظیفة ،عدد سنوات الخبرة فى التدریس والخبرة باستخدام الحاسوب. وقد تبین أن أکثر الفوائد من وجهة نظر المعلمین والموجهین لاستخدام برنامج الجیوجبرا فى تعلیم وتعلم الریاضیات أنه یجعل عملیة التعلم ممتعه للطلاب. وأما أکثر المعوقات - من وجهة نظرهم – فى أن استخدام البرنامج یحتاج إلى تدریب مسبق، وکذلک عدم توفـر أجهزة الحاسوب الملائمة لاستخدامه داخل الفصول الدراسیة. The study aimed to reveal the trends of teachers and technical supervisors towards the use of GeoGebra program as an interactive computer software in teaching and learning mathematics. To achieve this, the descriptive method was adopted and a questionnaire was used as a measure of direction to answer the questions of the study. It consisted of 23 items in four chapters, and were distributed after verification of validity and persistence on a random sample of 85 teachers and supervisors in Cairo. The T test and one-way ANOVA analysis were used to validate the hypotheses and answer the questions of the study. The results showed positive trends for all the areas of the questionnaire towards the use of the proposed program. The results also showed that there were no statistically significant differences between the average responses of the sample members on the four question axes according to the variables: gender, job, number of years of experience in teaching and experience using computer. It was found out the most of the benefits of using GeoGebra software in mathematics education from the teachers and supervisors' viewpoint of is make learning fun for students. And the most of the obstacles - from their point of view - to the use of the program is that it needs prior training as well as the lack of the provision of computers suitable for use within the classroom.