The role of the history of mathematics in the teaching and learning of mathematics

1997 ◽  
Vol 29 (4) ◽  
pp. 138-140 ◽  
Author(s):  
John Fauvel ◽  
Jan van Maanen
Keyword(s):  
Teaching And Learning ◽  
History Of Mathematics ◽  
History Of

scholarly journals Generalizing the Nagel line to circumscribed polygons by analogy and constructive defining

Pythagoras ◽  
2008 ◽  
Vol 0 (68) ◽  
Author(s):  
Michael De Villiers
Keyword(s):  
History Of Mathematics ◽  
Genetic Approach ◽  
Mathematical Content ◽  
Euler Line ◽  
History Of ◽  
Mathematics For Teaching ◽  
The Creation ◽  
Reasoning By Analogy

This paper first discusses the genetic approach and the relevance of the history of mathematics for teaching, reasoning by analogy, and the role of constructive defining in the creation of new mathematical content. It then uses constructive defining to generate a new generalization of the Nagel line of a triangle to polygons circumscribed around a circle, based on an analogy between the Nagel line and the Euler line of a triangle.

scholarly journals Em Foco a Aritmética do Curso Primário: Um Estudo de Cadernos Escolares e do Manual “Práticas Escolares”

2018 ◽  
Vol 11 (1) ◽  
pp. 47
Author(s):  
Rosimeire Aparecida Soares Borges ◽  
Cristiano José de Oliveira
Keyword(s):  
Primary School ◽  
Cultural History ◽  
Teaching And Learning ◽  
History Of Mathematics ◽  
Historical Study ◽  
School Practices ◽  
New School ◽  
Culture History ◽  
History Of ◽  
Cultura Escolar

Este estudo histórico investigou apropriações das propostas reformistas da Escola Nova no que tange ao ensino da Aritmética para a escola primária em cinco cadernos de um aluno, de terceiro e quarto anos do curso primário, dos anos de 1952 e 1953, respectivamente, e no primeiro volume do manual didático “Práticas Escolares” que teve sua primeira edição em 1940 e décima edição em 1965, de autoria de Antonio D’Ávila. Utiliza-se como base teórico-metodológica a História Cultural na direção de dar significado às apropriações que foram feitas em relação à aritmética da escola primária em tempos da Escola Nova. Há uma predominância da resolução de problemas aritméticos ligados ao cotidiano dos alunos, indicando uma preocupação com a abstração dos conceitos com foco em uma aritmética prática, que tinha por finalidade preparar o aluno para a vida fora da escola após quatro anos de estudo no curso primário. Observa-se uma valorização do aluno como indivíduo, com respeito ao seu ritmo e dificuldades apresentadas na aprendizagem da Aritmética, um dos aspectos marcantes da Escola Nova, o aluno considerado como protagonista do processo de ensino e de aprendizagem, podendo interagir no meio social em uma formação mais humana.Palavras-chave: Aritmética. Ensino Primário. Manual Didático para Professores. Cadernos de aluno. Cultura escolar. História da Educação Matemática.AbstractThis historical study investigated appropriations of the New School for the teaching of Arithmetic for the primary school in five books of a student, of the third and the fourth years of the primary course, of the years of 1952 and 1953, respectively, And in the first Volume of the didactic manual “School Practices” that had its first edition in 1940 and tenth edition in 1965, authored by Antonio D’Ávila. It is used as a theoretical-methodological basis for the Cultural History in the direction of provide meaning the appropriations that were made in relation to the primary school in times of the New School. There is a predominance of solving arithmetic problems related to students’ daily life, indicating a preoccupation with an abstraction of concepts with a focus on an arithmetic practice, whose purpose was to prepare a student for the life outside of school after four years of primary school. It is observed the evaluation of the student as an individual, with respect to its rhythm and difficulties presented in the learning of Arithmetic, one of the markers of the New School, the student considered the protagonist of the process of teaching and learning, being able To interact in the social environment in a more humane formation.Keywords: Arithmetic. Primary school. Didactic Manual for Teachers. Books of a student. School culture. History of Mathematics Education.

History of mathematics, mathematical histories, storytelling in Hungarian mathematics education

2019 ◽  
pp. 137-148
Author(s):  
Katalin Gosztonyi
Keyword(s):  
Mathematics Education ◽  
Historical Perspective ◽  
Teaching Practice ◽  
History Of Mathematics ◽  
Guided Discovery ◽  
Mathematics History ◽  
History Of ◽  
Nature Of Mathematics ◽  
Written Sources

History of mathematics is rarely used in Hungarian mathematics education, and even more rarely goes beyond anecdotic mentions of history. In this paper I will argue that despite of this phenomenon, a historical perspective on mathematics, in a more general way, plays a crucial role in a specific Hungarian tradition of mathematics education, called felfedeztető matematikaoktatás (“teaching mathematics by guided discovery”). I will revisit the epistemological background of this approach, analyse the role of history in this view on the nature of mathematics and its teaching, and illustrate the analysis by some examples from written sources and nowadays teaching practice. Classification: A30, D20, D40. Keywords: History of mathematics, history in mathematics education, guided discovery in mathematics education.

The language curriculum: A social contextual perspective

2008 ◽  
Vol 41 (2) ◽  
pp. 147-181 ◽  
Author(s):  
Kathleen Graves
Keyword(s):  
Learning Community ◽  
Teaching And Learning ◽  
Curriculum Change ◽  
Curriculum Planning ◽  
Target Language ◽  
Central Process ◽  
Language Curriculum ◽  
History Of ◽  
Integrated Approaches

This article examines curriculum from a social contextual perspective in which enactment – teaching and learning – is the central process, to which planning and evaluation contribute. It looks at the ways two kinds of contexts, target-language embedded and target-language removed, influence language curriculum planning and enactment. It provides a brief history of syllabus design and a rationale for moving beyond syllabus as the primary construct for curriculum planning. It then explores the classroom as the context of enactment and the role of the teacher as catalyst for curriculum change. It reconceptualizes the classroom as a learning community with potential links with real, virtual and imagined communities. It briefly explores integrated approaches to evaluation and assessment and concludes with examples of promising directions and suggestions for further research. Examples of practice that illustrate concepts are provided throughout the article.

scholarly journals LA DISCIPLINA HISTORIA DE LAS MATEMÁTICAS EN LA UNIVERSIDAD FEDERAL DEL TRIÁNGULO MINERO: UN BREVE INFORME

PARADIGMA ◽  
2020 ◽  
pp. 317-332
Author(s):  
Mônica De Cássia Siqueira Martines
Keyword(s):  
Higher Education ◽  
History Of Mathematics ◽  
Specific Situation ◽  
Initial Training ◽  
Teaching And Research ◽  
History Of ◽  
The Subject ◽  
Estudio De Caso

Este artículo describe los resultados de un experimento que involucró la enseñanza y la investigación en la disciplina de Historia de las Matemáticas, impartido por el autor en la Universidad Federal de Triângulo Mineiro (UFTM) desde el comienzo de la oferta del Grado en Matemáticas en esa institución de educación superior. En este sentido, presentamos el formato de las clases y evaluaciones que se realizan para el tema del estudio que originó este artículo. La investigación desarrollada fue del tipo cualitativo, en particular un estudio de caso, ya que la experiencia descrita y explicada se centra en la preocupación por los aspectos de la realidad del aula de una sola situación específica. Los resultados muestran la necesidad de reflexión constante, diálogo y posibles cambios en la didáctica en el aula, ya que los estudiantes, cada día, son diferentes en un mundo globalizado e informatizado. También revelan la necesidad de invitar a los estudiantes a asumir el papel de protagonistas, de modo que las formas de evaluación para cada clase puedan modificarse.Palabras clave: Historia de las matemáticas; Evaluación; Formación inicial de profesores de matemáticas. THE DISCIPLINE HISTORY OF MATHEMATICS AT THE FEDERAL UNIVERSITY OF THE MINING TRIANGLE: A BRIEF REPORT AbstractThis article describes the results of an experiment that involved teaching and research in the History of Mathematics discipline, taught by the author at the Federal University of Triângulo Mineiro (UFTM) since the beginning of the offer of the Degree in Mathematics at that institution of higher education. In this sense, we present the format of the classes and assessments that are carried out for the subject of the study that originated this article. The research developed was of the qualitative type, particularly a case study, since the experience described and explained is centered on the concern with aspects of the classroom reality of a single specific situation. The results show the need for constant reflection, dialogue and possible change in the didactics in the classroom, since the students, each day, are different in a globalized and computerized world. They also reveal the need to invite students to assume the role of protagonists, so that the forms of assessment for each class can be modified.Keywords: History of Mathematics; Evaluation; Initial training of mathematics teachers.A DISCIPLINA HISTÓRIA DA MATEMÁTICA NA UNIVERSIDADE FEDERAL DO TRIÂNGULO MINEIRO:UM BREVE RELATO ResumoEste artigo descreve os resultados de uma experiência que envolveu ensino e pesquisa na disciplina História da Matemática, ministrada pela autora na Universidade Federal do Triângulo Mineiro (UFTM) desde o início da oferta do curso de Licenciatura em Matemática na referida instituição de ensino superior. Neste sentido apresentamos o formato das aulas e avaliações que são realizadas para a disciplina foco do estudo que originou este artigo. A pesquisa desenvolvida foi do tipo qualitativa, particularmente um estudo de caso, uma vez que a experiência descrita e explicada está centrada na preocupação com os aspectos da realidade da sala de aula de uma única situação especifica. Os resultados mostram a necessidade de constante reflexão, diálogo e possível alteração na didática em sala de aula, visto que os(as) alunos(as), a cada dia, se mostram diferentes perante um mundo globalizado e informatizado. Revelam, também, a necessidade de convidar os(as) alunos(as) a assumirem o papel de protagonistas, fazendo com que as formas de avaliação de cada turma possam ser modificadas.Palavras-chave: História da Matemática; Avaliação; Formação inicial de professores de matemática.

scholarly journals Connection of Old and New Mathematics on Works of Islamic Mathematician with a Look to Role of History of Mathematics on Education of Mathematics

10.28945/2591 ◽  
2003 ◽  
Author(s):  
Saeed Seyed Agha Banihashemi
Keyword(s):  
History Of Mathematics ◽  
History Of

In this article we are going to discuss how new and old mathematics are related on works of Islamic mathematician and how history of mathematics can help education of mathematics to improve and motivate it.

scholarly journals The Portuguese Maritime Voyages of Discovery: the exploration of the history of a city with an App as an educational resource

2019 ◽  
pp. 85-99 ◽  
Author(s):  
Cláudia Faria ◽  
Elsa Guilherme ◽  
Joaquim Pintassilgo ◽  
Maria João Mogarro ◽  
Ana Sofia Pinho ◽  
...  
Keyword(s):  
Teaching And Learning ◽  
Participant Observation ◽  
Collaborative Work ◽  
Mobile Technologies ◽  
School Students ◽  
History Of ◽  
Relationship Of ◽  
The Relationship ◽  
The City

In this paper we present an evaluation of an App for mobile devices, ‘Roteiro dos Descobrimentos’, as an educational digital resource for primary school students. The study involved the participation of 131 students and eight teachers. Data were collected from participant observation, students’ questionnaires and interviews to students and teachers. According to students, they learned new things, related with the topics explored, in an easy and funny way. Students also emphasized as positive aspects the fact that they had to face different challenges and the need to mobilize their knowledge to solve them. Teachers referred that students showed great interest and enthusiasm during the activities. As main gains, teachers stressed that the application fosters the relationship of students with the city, facilitates collaboration, and promotes students’ autonomy. In resume, it seems that the playful and interactive dimension of the App promoted the development of important skills such as the ability to interact with the environment, collaborative work, autonomy, and reading and interpretation skills. As a conclusion, there is a great receptivity to integrate mobile technologies in the teaching and learning process, but the role of the teacher can’t be dismissed, as a mediator and educator.

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