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

2021 ◽  
Vol 27 (2) ◽  
pp. 194
Author(s):  
Joseane Marta Vian ◽  
Marli Teresinha Quartieri
Keyword(s):  
Mathematical Research ◽  
Teaching Geometry ◽  
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.

Technology Casio as a Means of Professionalization of Fundamental Education

2018 ◽  
Vol 9 (2) ◽  
pp. 391-394
Author(s):  
Igor Vostroknutov ◽  
◽  
Aleksandr Lukankin ◽  
Irina Slobodskaya ◽  
◽  
...  
Keyword(s):  
Fundamental Education

VARIOUS PROBLEMS FOR TEACHING GEOMETRY TO THIRD GRADE STUDENTS

2018 ◽  
Vol 28 (3) ◽  
pp. 997-1003
Author(s):  
Gergana Hristova
Keyword(s):  
General Education ◽  
Third Grade ◽  
The European Union ◽  
School Year ◽  
Third Grade Students ◽  
Teaching Geometry ◽  
New Curriculum ◽  
Mathematical Problems ◽  
Key Competencies ◽  
Geometrical Knowledge

The knowledge on geometry are of great importance for the understanding of reality. Spatial notion and geometrical concepts, graphical skills and habits are an important part of the study of geometrical knowledge in elementary school as propedeutics of the system course on geometry in the next school levels. In the recent years, education in Bulgaria follows the trends imposed by the European Union related to the acquiring of some basic key competencies. They promote to the improvement of knowledge, skills, abilities and attitudes of students and their more successful social development. From the school year 2016/2017, the education in the Bulgarian schools is in accordance with the new Law on pre-school and school education. Under this law, students are teached under new curriculum and teaching kits for the corresponding class. According to the new curriculum, the general education of the students of I-IV grade, covers basic groups of key competencies. Here, much more attention is paid also to the results of international researches on the students’ performance in mathematics. Primary school students participate in international competitions and Olympiads, which lead to the need of working on more mathematical problems with geometric content of the relevant specific types. This allows to study and use author’s various mathematical problems for teaching geometry. Their purpose is to contribute to the expansion of space notions of the students, to develop their thinking and imagination. This article is dedicated to the application of author’s various mathematical problems and exercises for teaching students from the third grade through which the geometrical knowledge and skills of the students develop and build. The solving of the mathematical problems is realized on a rich visual-practical basis, providing conditions for inclusion of the students in various activities. The proposed various mathematical problems are developed by themes including fully geometric problems and exercises for teaching mathematics to third grade students. Teaching by using the various mathematical problems was held with 149 students from third grade, from five schools - three in Sofia and two in smaller towns, in the school year 2016/2017.

THE OBJECT OF ASTRONOMICAL AND MATHEMATICAL RESEARCH

Science ◽  
1915 ◽  
Vol 41 (1047) ◽  
pp. 109-117
Author(s):  
F. Schlesinger
Keyword(s):  
Mathematical Research

Egg-Forms and Measure-Bodies: Different Mathematical Practices in the Early History of the Modern Theory of Convexity

2009 ◽  
Vol 22 (1) ◽  
pp. 85-113 ◽  
Author(s):  
Tinne Hoff Kjeldsen
Keyword(s):  
Convex Bodies ◽  
Mathematical Work ◽  
Late Nineteenth Century ◽  
Modern Theory ◽  
Methodological Framework ◽  
Mathematical Research ◽  
Mathematical Practices ◽  
History Of ◽  
Research Questions ◽  
Epistemic Objects

ArgumentTwo simultaneous episodes in late nineteenth-century mathematical research, one by Karl Hermann Brunn (1862–1939) and another by Hermann Minkowski (1864–1909), have been described as the origin of the theory of convex bodies. This article aims to understand and explain (1) how and why the concept of such bodies emerged in these two trajectories of mathematical research; and (2) why Minkowski's – and not Brunn's – strand of thought led to the development of a theory of convexity. Concrete pieces of Brunn's and Minkowski's mathematical work in the two episodes will, from the perspective of the above questions, be presented and analyzed with the use of the methodological framework of epistemic objects, techniques, and configurations as adapted from Hans-Jörg Rheinberger's work on empirical sciences to the historiography of mathematics by Moritz Epple. Based on detailed descriptions and a comparison of the objects and techniques that Brunn and Minkowski studied and used in these pieces it will be concluded that Brunn and Minkowski worked in different epistemic configurations, and it will be argued that this had a significant influence on the mathematics they developed for those bodies, which can provide answers to the two research questions listed above.

A Role for Technology in Mathematics Education

1996 ◽  
Vol 178 (2) ◽  
pp. 15-32 ◽  
Author(s):  
Albert A. Cuoco ◽  
E. Paul Goldenberg
Keyword(s):  
Mathematics Education ◽  
Curriculum Change ◽  
Mathematics Curriculum ◽  
New Technology ◽  
Habits Of Mind ◽  
Mathematical Research ◽  
Mathematical Concepts ◽  
Mathematical Ideas ◽  
Mathematics Educators

New technology poses challenges to mathematics educators. How should the mathematics curriculum change to best make use of this new technology? Often computers are used badly, as a sort of electronic flash card, which does not make good use of the capabilities of either the computer or the learner. However, computers can be used to help students develop mathematical habits of mind and construct mathematical ides. The mathematics curriculum must be restructured to include activities that allow students to experiment and build models to help explain mathematical ideas and concepts. Technology can be used most effectively to help students gather data, and test, modify, and reject or accept conjectures as they think about these mathematical concepts and experience mathematical research.

scholarly journals Analysis of Teacher’s Competence About Mathematics Materials for National Final Examination

2018 ◽  
Vol 1 (1) ◽  
pp. 20
Author(s):  
Syafriandi Syafriandi ◽  
Dina Fitria
Keyword(s):  
Junior High School ◽  
Time Management ◽  
Professional Competence ◽  
Lesson Plan ◽  
School Teacher ◽  
High School Teacher ◽  
Principal Component ◽  
Teaching Mathematics ◽  
Teaching Geometry ◽  
Statistics And Probability

Principal component in teaching mathematics for teacher is professional competence. It cover how the teacher understand the material of subject matter itself. Teaching Mathematics in Junior High School, teacher have to understand completely in Numbers, Algebra, Geometry and measurements, and also Statistics and probability. Based on the exam and discussion in workshop, known that math teacher in Pesisir Selatan having problems in teaching Geometry and measurement and also Statistics and probability. The problems are complexity of teaching materials, error in translating competence standard and basic competence into lesson plan, time management and student’s motivation in studying math. Solution that offered to the teacher are translating basic competence into learning process and trick how to teach Geometry and Statistics especially. Teaching geometry by explain all geometry object, i.e. plane and space simultaneously and compare each object directly. Teaching statistics and probability starting by counting process.

scholarly journals Contrasting Mathematical Phenomena and Concepts in Ethnomathematics through Etic and Emic Approaches: A Study of Dhikr Jahar Practices in Tariqa Qodiriyah Naqsyabandiyah Ma’had Suryalaya

2021 ◽  
Vol 12 (1) ◽  
pp. 193-218
Author(s):  
Eko Yulianto ◽  
Wahyudin Wahyudin ◽  
Ahmad Tafsir ◽  
Sufyani Prabawanto
Keyword(s):  
Data Processing ◽  
Cultural Diversity ◽  
Qualitative Methods ◽  
Mathematical Concept ◽  
Research Trends ◽  
Mathematical Research ◽  
Mathematical Concepts ◽  
Second Stage ◽  
Emic And Etic

Ethno-mathematical research trends pioneered by D'Ambrosio are on the rise, especially in Indonesia as a nation with high cultural diversity which has a lot of potential researches to be explored. This paper has two major objectives, first to explore the importance of the role of mathematics in the practice of Dhikr Jahar in Tariqa Qodiriyyah Naqsyabandiyyah and second to contrast the differences between mathematical phenomena and mathematical concepts in ethnomathematics research. Attempts to contrast the mathematical phenomena and mathematical concepts in ethnomathematics was expected to provide a sharper highlight in the writing of ethnomathematics research. This research used qualitative methods with two approaches, namely ethnography and phenomenology. The locations of the research are at Pondok Pesantren Suryalaya-Sirnarasa and Padepokan Talangraga Tasikmalaya with observations for 9 months in the first stage and then 6 months in the second stage. The number of respondents interviewed in this research were 48 people. Data processing was performed using the Nvivo 12 Plus. The results showed that there are many mathematical phenomena in the practice of Dhikr Jahar Ikhwan TQN. In carrying out the practice of dhikr, the Ikhwan used a mathematical concept with two events, fingers and prayer beads aids. The concept of counting in dhikr was used strictly by the Ikhwan. They believe that numbers have an important role in the quantity of dhikr. Contrasting mathematical phenomena and mathematical concepts can be done with an emic and etic approach and is expected to become an alternative style in ethnomathematics research. 

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