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This is to certify that Mr. Dipesh Prajapati has completed his thesis entitled Effectiveness of GeoGebra in Teaching and Learning Geometry under my supervision during the period prescribed by the rules and regulation of Tribhuvan... more
Geometric thinking abilities remain crucial in mathematics education, particularly for pre-service teachers who will shape future generations' understanding of geometry. This study evaluates and compares the geometric thinking levels of... more
Πρόλογος Μια προσέγγιση στις δυσκολίες της Άλγεβρας είναι χρήσιμη, αφού δεν έχουν όλοι οι μαθητές την ίδια αναπτυξιακή ηλικία , μαθησιακή ετοιμότητα και εμπειρία. Μόνο συμβατικά ορίζουμε τα 11 χρόνια ως ορόσημο για την έναρξη της... more
This study validates the Van Hiele model of geometric reasoning and extends its practical application through technology integration. By leveraging dynamic tools such as GeoGebra, the research demonstrates how technology can significantly... more
This case study describes and investigates the instructional practices of Grades 1 to 5 teachers and the levels of geometry thinking of the learners, according to the Van Hiele model, with a view to determining whether there is a match... more
This case study describes and investigates the instructional practices of Grades 1 to 5 teachers and the levels of geometry thinking of the learners, according to the Van Hiele model, with a view to determining whether there is a match... more
Abstract: This study investigated the attitude towards, as well as the level of understanding of Euclidean geometry in pre-service mathematics education (PME) students. In order to do so, a case study was undertaken within which a one... more
This study investigates the effectiveness of Technology-Enhanced Van Hiele Phased Instruction (TVHPI) compared to Conventional Van Hiele Phased Instruction (CVHPI) in enhancing learners' conceptual understanding and procedural fluency in... more
ΘΕΜΑ 4ο Δίνεται το τετράγωνο ΑΒΓΔ, με πλευρά χ και Ζ το μέσον της μιας πλευράς του ΑΒ. Είναι επίσης . Να αποδείξετε ότι: Α) και ότι τρίγωνα ΓΔΕ και ΒΓΖ, έχουν και τις τρεις γωνίες τους ίσες και από μία πλευρά τους ίση, αλλά δεν... more
Ο επαγωγικός συλλογισμός είναι ένας τύπος λογικής σκέψης όπου οδηγούμαστε από συγκεκριμένα παραδείγματα ή παρατηρήσεις σε ένα γενικό συμπέρασμα. Στις εξετάσεις του ΑΣΕΠ, ερωτήσεις επαγωγικού συλλογισμού συνήθως αξιολογούν την ικανότητα... more
Cultivating 21 st-century skills is imperative in this rapidly changing environment. To keep pace with these impending shifts, incessant and heightened revision in the educational system must be done to meet future challenges. Thus, the... more
Cultivating 21 st-century skills is imperative in this rapidly changing environment. To keep pace with these impending shifts, incessant and heightened revision in the educational system must be done to meet future challenges. Thus, the... more
Penelitian ini merupakan penelitian pengembangan yang bertujuan untuk mengembangkan E-LKS berbasis Teori Van Hiele berbantuan liveworksheet untuk memfasilitasi kemampuan pemecahan masalah siswa yang memenuhi aspek valid, praktis dan... more
In this paper we report on a research aimed to identify and characterize secondary school students' reasoning and proof abilities when working with 3-dimensional geometric solids. We analyze students' answers to two problems asking them... more
Geometric thinking skills remained a topical issue in mathematics education. The purpose of this research is to investigate the van Hiele levels of geometric thinking skills of the students in Sokoto state to provide a clear picture of... more
In this paper, we report on how a group of UK 12-13 year old students work with hierarchical defining and classifying quadrilaterals, an area which students find very difficult to understand. We implemented a geometry test to 9 groups of... more
Besides offering an aesthetic attraction, the use of proofs, which rely on simple geometrical figures suggest intuitive ideas. Two such proofs are presented here. One is a recreation with a stair-like decomposition of a rectangle. The... more
A natureza de uma definição matemática não pode ser desconsiderada no contexto do ensino, entretanto, o que é mesmo uma definição matemática? Qual o papel e tipos de definições que deparamos no ensino? Para responder algumas destas... more
The purpose of the current article is to analyze the effects of the hypothetical learning trajectory designed for teaching quadrilaterals. This article reports the classroom mathematical practices that emerged in a social learning... more
In this paper, we explore 7 th-grade field-dependent and field-independent cognitive style students' reasoning for the relationships within and among particular quadrilaterals in a dynamic geometry software (DGS) environment. To do this,... more
Acknowledging the value of understanding defining and classifying special quadrilaterals for prospective mathematics teachers (PMTs), the present study attempts to track this understanding so that the progress of thinking from Van Hiele's... more
This paper concerns a recent work carried out with a group of 6 expert teachers who changed their school level at the beginning of this year. The work is a continuation and an adaptation of an experience that has been going on for some... more
This paper is part of a large PHD study and it ́s target is identify the knowledge that 3rd grade children show while they are establishing relations between properties of quadrilaterals, revealing individual organization and thinking... more
In this study, I investigated how pre-service teachers (PSTs) proved three geometric problems by using Geometer's SketchPad (GSP) software. Based on observations in class and results from a test of geometric reasoning, eight PSTs were... more
This article describes the beneficial effects of an intervention program, based on the computerized Origametria program and the GeoGebra environment, for acquiring geometric concepts in the second grade. Eighty-eight second-graders, from... more
This study investigated the use of a well-designed computer-supported collaborative learning environment, namely Virtual Math Teams (VMT), to develop middle school students’ geometric thinking. It also looked into students’ VMT discourse... more
This paper aimed to present the changes in the upper elementary school (grades 6, 7, 8) geometry learning area in Turkey after the reform movement of 2004. The methodology of the study was descriptive and included content analysis in... more
This paper aimed to present the changes in the upper elementary school (grades 6, 7, 8)geometry learning area in Turkey after the reform movement of 2004. The methodology of the study wasdescriptive and included content analysis in terms... more
Students are frequently wrong in understanding a certain concept or material in learning mathematics or termed as misconceptions. Misconceptions do not occur only at students with low mathematics skills or low levels of mathematical... more
Este artigo tem como objetivo. a análise do desenvolvimento do pensamento geométrico em estudantes da 8ª série, descrevendo como os níveis do casal van Hielepodem contribuir para a prática cotidiana escolar.Para tal foi aplicado um... more
It is widely known that students often treat examples that satisfy a certain universal statement as sufficient for showing that the statement is true without recognizing the conventional need for a general proof. Our study focuses on... more
Resumo. Esta pesquisa, de natureza qualitativa, tem como objetivo identificar a variação do pensamento geométrico dos estudantes a partir da leitura de histórias em quadrinhos que versam sobre a Geometria Euclidiana numa perspectiva... more
Dedico este artigo aos educadores brasileiros que, com muito suor e dedicação profissional, buscam, insistentemente, inovar e promoverde diferentes modoso aprendizado de seus alunos, em um currículo com ou sem tecnologias digitais.... more
We present an approach to geometry learning that is based on play. For a mobile and location-aware game, the concept of smart city learning is exploited to situate learning about geometric shapes in concrete buildings and thus make them... more
Rapid development of technology has made it inevitable to use it in the classes. As the scope of technology is wide and it is continuously renewed, it has brought changes in the way and style of using it also. The fact of how technology... more
The purpose of this study was to develop pre-service secondary teachers' technological pedagogical content knowledge (TPACK) for teaching mathematics with The Geometer's Sketchpad (GSP) through Lesson Study (LS). Specifically, a... more
The perimeter and area are two important geometric concepts, which are taught through many years in schools. Although the curriculum and the textbooks in Hungary consist of both qualitative and quantitative approaches by teaching area and... more
Studies on academic performance prediction, a sub-branch of Educational Data Mining, have increased in recent years. Educational datasets in real environments often have class imbalanced and multi-class target variables. However, studies... more
Studies on academic performance prediction, a sub-branch of Educational Data Mining, have increased in recent years. Educational datasets in real environments often have class imbalanced and multi-class target variables. However, studies... more
In this study, we administrated dynamic geometry activities which provide students opportunities to explore and estimate geometric figures to connect measurement estimation with geometry. The aim of the study is to investigate effects of... more
This paper explores Van Hiele’s Model's use in planning the tasks to identify the properties of quadrilaterals. Lesson study, a professional development program that enables teachers to collaborate to improve teaching and learning... more
The aim of this study was to investigate the relationship between level of geometrical thinking and classification skills of polygons of 7 th grade students. Relational survey model was used in this study. The sample of the study consists... more
The aim of this study was to investigate the relationship between level of geometrical thinking and classification skills of polygons of 7 th grade students. Relational survey model was used in this study. The sample of the study consists... more
Η έγκριση της πτυχιακής εργασίας από το Παιδαγωγικό Τμήμα Δημοτικής Εκπαίδευσης του Δημοκρίτειου Πανεπιστημίου Θράκης δεν δηλώνει απαραιτήτως την αποδοχή των απόψεων του/της συγγραφέα / των συγγραφέων. Υπεύθυνη Δήλωση Βεβαιώνω/ουμε ότι... more
Gifted students have potential to improve countries and this potential can be revealed and developed in schools where they spend most of their times with other regular students. However, these classrooms have some limitations for them;... more
Can you tliink of any characteristic of the relationship between the points of a line and real numbers? Write: To every real number, there corresponds exactly one point of the line and vice versa. The correspondence described here is... more
Can you tliink of any characteristic of the relationship between the points of a line and real numbers? Write: To every real number, there corresponds exactly one point of the line and vice versa. The correspondence described here is... more