APPLICATION OF MIND MAP IN TEACHING GEOMETRY IN GRADE 4

<p>When it comes to mathematics education and learning, mind maps are a graphical representation of ideas and concepts widely used. A mind map can significantly improve student learning and teacher teaching activities by its unique structure and characteristics. This study demonstrates the feasibility and effectiveness of incorporating a mind map into the geometry curriculum for fourth-grade students. The findings of an experiment conducted on 44 primary students demonstrate that, with the teacher's guidance, most students can create an appropriate mind map to review a lesson and that the mind map contributes to increasing students' learning motivation and subject interests. Several students responded positively to a survey about their attitudes toward using mind maps in mathematics learning, which revealed that they have favorable attitudes toward using mind maps.</p><p> </p><p><strong> Article visualizations:</strong></p><p><img src="/-counters-/edu_01/0920/a.php" alt="Hit counter" /></p>

Specialised Knowledge for Teaching Geometry in a Primary Education Class: Analysis from the Knowledge Mobilized by a Teacher and the Knowledge Evoked in the Researcher

Deepening the specialised knowledge of mathematics teachers is necessary for teaching, and it is one of our concerns as researchers; accordingly, in this study we analyze the knowledge that a teacher mobilizes when giving a first lesson on geometry to a class of fifth year of primary education at a Spanish school. We provide this analysis with a complementary perspective that leads us to broaden our focus of attention to other aspects of classroom management, thus identifying the specialised knowledge evoked in the researcher by the opportunities observed in the classroom. We take opportunities to mean classroom situations that occur as a result of the teacher’s management for which the researcher considers that an alternative management of such situations would be supported by relevant specialised knowledge for the teaching of the given content. Considering the possible alternative management of specific classroom situations makes this specialised knowledge emerge, which, together with that mobilized by the teacher, generates specialised knowledge useful for guiding the content of the training of primary education teachers.

Exploration of Students’ Understanding of Geometry Concepts

This article contains an exploration of conceptual understanding in geometry lectures in the Elementary School Teacher Education Study Program, Cokroaminoto Palopo University, Odd Semester, Academic Year 2020/2021. This research was conducted through a qualitative approach with the aim of explaining the details of the relationship between concepts in detail and recommending appropriate learning in problem solving. Data were collected using observation, documentation, and written tests. The three techniques are elaborated with the aim of analyzing the concepts and problem-solving patterns of the students' final semester test results. The results of the study explain several findings, namely, Teaching geometry should begin with the process of identifying the important concepts that build up a particular problem. These concepts are then analyzed and linked to one another to form a network. The concept network is then represented in an image/visual display. Through this visual display, lecturers can guide students in compiling procedural steps based on the sequence of concepts that have been compiled. Lecturers need to create meaningful learning for students by connecting previous knowledge with new knowledge through various representations, examples, and manipulations and focus on conceptual understanding rather than procedures or rules.Eksplorasi Pemahaman Konsep Geometri MahasiswaArtikel ini memuat eksplorasi pemahaman konsep dalam perkuliahan geometri pada Program Studi Pendidikan Guru Sekolah Dasar Universitas Cokroaminoto Palopo Semester Ganjil Tahun Akademik 2020/2021. Penelitian ini dilakukan melalui pendekatan kualitatif dengan tujuan untuk menjelaskan rincian hubungan antar konsep secara detail, dan merekomendasikan pembelajaran yang tepat dalam pemecahan masalah. Data dikumpulkan menggunakan teknik observasi, dokumentasi, dan tes tertulis. Ketiga teknik tersebut dielaborasi dengan tujuan Hasil penelitian menjelaskan beberapa temuan yakni; pengajaran geometri harus diawali dengan proses identifikasi konsep-konsep penting yang membangun masalah tertentu. Konsep-konsep tersebut selanjutnya dianalisis dan dihubungakan satu sama lain sehingga membentuk sebuah jejaring. Jejaring konsep selanjutnya direpresentasikan ke dalam gambar/tampilan visual. Melalui tampilan visual ini, dosen dapat membimbing mahasiswa dalam menyusun langkah-langkah prosedural berdasarkan urutan konsep yang telah disusun. Dosen perlu menciptakan pembelajaran yang bermakna bagi mahasiswa dengan cara menghubungkan pengetahuan sebelumnya dengan pengetahuan yang baru melalui berbagai representasi, contoh, dan manipulasi dan fokus pada pemahaman konseptual dibandingkan prosedur atau aturan.

Testing the effectiveness of the designing and applying process with certain circumstances in geometry teaching

According to the theory of active education and Mathematics teaching in secondary schools, there are five steps designed for geometrical knowledge and four stages for the process of applying the examined circumstances. The research objective aims to evaluate the effectiveness and feasibility of the suggestion focused on the process of constructing and manipulating situations in teaching Geometry. The research method uses the case study in the specific teaching process, which was conducted with 24 teachers who have taught Mathematics at secondary schools over three months from August 2019 to October 2019; and 30 secondary school students between May 2020 and July 2020. Finally, the result shows that all teachers agree that the design and application process is appropriate and effective for their lesson. In terms of the student's aspect, the case study reveals that the application of various steps in the process is beneficial for improving geometric deductive and spatial estimation, as well as using theoretical knowledge in the practical situation. Based on the research, this paper will clarify some solutions related to the way to design processes and utilize them in some Geometry content in secondary schools in Vietnam.

Assessing van Hiele’s geometric thinking levels among elementary pre-service mathematics teachers

Teachers’ geometric thinking is crucial to teaching efficacy in geometry since teacher knowledge or thinking serves as a basis for the quality of instruction provided for students’ learning. Teachers’ thinking about geometry has attracted much attention among mathematics education researchers. This study therefore aimed at assessing elementary pre-service teachers’ geometric thinking within the first three levels of van Hiele’s model. The study was guided by three objectives. The objectives were to (1) assess the distribution of van Hiele’s geometric thinking among the study participants, (2) determine if the participating pre-service teachers’ geometric thinking is significant for teaching geometry, and (3) find out if any difference in geometric thinking of the pre-service teachers existed with regard to gender. The study used the descriptive survey design. The study participants were prospective mathematics teachers drawn from four Colleges of Education in the Bono Region and Ashanti Region of Ghana. The Colleges were randomly selected for the study. The study participants comprised 217 pre-service teachers. The van Hiele’s test instrument was adapted and pilot tested to assess the internal consistency of the items in the various levels. The calculated reliability coefficient of the instrument ranged from 0.71 to 0.74. The instrument was administered to the study participants on the scheduled date. Data generated from the participants were analysed based on the study objectives. Findings from the analyses show that pre-service teachers have limited geometric thinking within the first three levels. However, their geometric thinking of the levels assessed was found to be significant which could have some impact on teaching geometry. Findings also reveal gender differences in pre-service mathematics geometric thinking. It is recommended that conscious effort must be made by mathematics teacher educators in the Colleges of Education to deepen the pre-service mathematics teachers’ geometric thinking.

INVESTIGAÇÃO MATEMÁTICA: UMA ALTERNATIVA METODOLÓGICA PARA O ENSINO DA GEOMETRIA COM ALUNOS DO 5º ANO DO ENSINO FUNDAMENTAL / MATHEMATICAL RESEARCH: A METHODOLOGICAL ALTERNATIVE FOR TEACHING GEOMETRY WITH STUDENTS OF THE 5th YEAR OF FUNDAMENTAL EDUCATION

Neste trabalho, teve-se por objetivo, analisar estratégias que os alunos de uma turma de 5º ano do Ensino Fundamental, utilizam ao realizar tarefas investigativas, envolvendo o cálculo de áreas e perímetros de figuras planas. Ademais procurou-se, investigar as conjecturas elaboradas por estes alunos para comparar figuras de mesma área, mas com valores de perímetros diferentes e vice-versa. Foram utilizadas as etapas propostas por Ponte, Brocardo e Oliveira (2006), para desenvolver duas tarefas envolvendo a Investigação Matemática. Como instrumentos de coletas de dados foram utilizados diários de campo, resolução de tarefas, observações, questionários, gravação de voz e filmagens. Para a análise dos dados, optou-se pela análise descritiva, que consiste na descrição de características de determinados fenômenos. Para a resolução das tarefas investigativas propostas os alunos usaram o material concreto e o desenho. Percebeu-se que o trabalho em grupo foi produtivo, para elaboração das conjecturas e compreensão dos conceitos geométricos.

Valeriy Aleksandrovich Gusev

The article describes the scientific and creative activities of the outstanding scientist and pedagogue Valeriy Aleksandrovich Gusev. The author of the article briefly tells about the life and creative path of Valeriy Gusev, we recall bright events and trips, scientific discussions and conferences attended by the scientist. The work notes the contribution of Valeriy Gusev in the development of methods of teaching geometry – the scientist devoted several decades to research in this area, systematised the experience of theory and methods of teaching geometry at school, contributing to the development and improvement of teaching geometry at school, investigated the psychological and pedagogic foundations of teaching mathematics. The author of the article shares numerous personal impressions of communication with Valeriy Gusev with readers, we talk about assistance and valuable advice of the latter.

Effect of Paper Folding (Origami) Instruction in Teaching Geometry

Considering the poor performance in mathematics of the Philippines in international examinations like PISA and TIMSS, this paper investigated the effect of paper folding (origami) instruction in teaching geometry. The participants were eighty-six (86) Grade 8 learners which randomly assigned to two groups – the control group and experimental group. This study used the quasi-experimental pre-test/post-test design. The experimental group was exposed to paper folding instruction and the control group learned through non-paper folding instruction. Results revealed the both groups achieved better performance through paper folding and non-paper folding instruction. However, the experimental group recorded higher mathematics performance compared to the control group. Thus, paper folding instruction promoted more effective learning in geometry. The information and insights from this study may be helpful to enhance the learners’ performance in geometry, the teacher’s strategies in teaching mathematics and to future researchers who would like to undertake similar studies.