scholarly journals Formação de professores de matemática e o ensino de polinômios Mathematics teacher education and teaching of polynomials

Author(s):  
Etienne Lautenschlager ◽  
Alessandro Jacques Ribeiro

ResumoO presente artigo tem por objetivo investigar o conhecimento matemático de professores para o ensino de polinômios na Educação Básica. Escolheu-se o conceito de polinômio devido à sua importância dentro do conhecimento matemático e à sua pouca exploração em pesquisas que abordam do ensino e da aprendizagem de conteúdos algébricos. Trata-se de uma pesquisa qualitativa interpretativa, a qual se utilizou de sequências didáticas elaboradas pelos professores em suas análises, as quais foram realizadas à luz do trabalho de Ball e colaboradores. As conclusões de nossa investigação apontam que as sequências didáticas destinadas ao ensino dos polinômios elaboradas pelos professores contemplam aspectos de um conhecimento matemático para o ensino puramente relacionado a aspectos procedimentais e, muitas vezes, desprovido de significados. Alerta-se para a urgência da formação continuada, com foco não somente nos conhecimentos pedagógicos, mas também nos conhecimentos específicos matemáticos. AbstractThis article aims to investigate the mathematical knowledge of teachers for the teaching of polynomials in Basic Education. The concept of polynomial was chosen due to its importance within the mathematical knowledge and to its little exploration in research that deals with the teaching and learning of algebraic contents. It is a qualitative interpretive research, which used didactic sequences elaborated by the teachers in their analyzes, which are realized under Ball and colleagues’ work. The conclusions of our investigation indicate that the didactic sequences destined to the teaching of the polynomials, elaborated by the teachers, contemplate aspects of a mathematical knowledge for the teaching purely related to procedural aspects and, often, devoid of meanings. It is alerted to the urgency of continuing education, focusing not only on pedagogical knowledge but also on specific mathematical knowledge.

Author(s):  
André Lima Rodrigues ◽  
Paulo Henrique Rodrigues ◽  
Márcia Cristina Costa Trindade Cyrino

O presente artigo tem como objetivo analisar as influências das ações do Programa Institucional de Bolsa de Iniciação à Docência de Matemática – Pibid nas diferentes fases do Estágio Curricular Obrigatório Supervisionado – ECS (estágio de observação, elaboração dos planos de oficina, estágio de regência e elaboração do relatório final), na perspectiva de futuros professores que participam do programa. Foi realizada uma pesquisa qualitativa de cunho interpretativo a partir de entrevistas realizadas com estudantes pibidianos do curso de licenciatura em Matemática da Universidade Estadual de Londrina – UEL. Os resultados revelam que as ações do Pibid orientaram reflexões no decorrer de diferentes fases do ECS, nomeadamente aquelas a respeito: do estar na sala de aula, dos conteúdos matemáticos, dos processos de ensino e de aprendizagem de Matemática, do papel do professor nesses processos e das ações do professor. Tais reflexões ampliaram as discussões presentes nas etapas do ECS e permitiram, ao articular teoria e prática, um aprofundamento de conhecimentos necessários aos futuros professores. Evidencia-se, assim, a necessidade de se valorizarem as políticas públicas de inserção de futuros professores na Educação Básica, como o Pibid, que potencializam aspectos importantes da formação de professores de Matemática.Palavras-chave: Educação Matemática. Formação de Professores de Matemática. Estágio Curricular Supervisionado.AbstractThe purpose of this article is to analyze the influence of the actions of the Institutional Program of Initiation Scholarship to the Teaching ofMathematics - Pibid in the different phases of the Student Teaching (observation stage, preparation of workshop plans, teach, of the finalreport) from the perspective of future teachers participating in the program. A qualitative research of an interpretive nature was carried outfrom interviews with pibidian students of the degree course in Mathematics of the State University of Londrina - UEL. The results reveal thatthe actions of Pibid guided reflections in the course of different phases of the SI, namely reflections on: being in the classroom, mathematicalknowledge, teaching and learning processes in Mathematics, the role of the teacher in these processes, and teacher actions. Such reflectionsbroadened the discussions in the stages of SI and allowed a deepening of knowledge needed for future teachers, articulating theory andpractice. We highlight the need to value the public policies of insertion of future teachers in Basic Education, such as the Pibid, that potentiateimportant aspects of mathematics teacher education.Keywords: Mathematics Education. Mathematics Teacher Education. Student Teaching.


Author(s):  
Juliane Colling ◽  
Adriana Richit

O artigo, que se baseia nos resultados de uma pesquisa de mestrado sobre as perspectivas de utilização das tecnologias digitais na formação inicial docente em matemática, evidencia e discute aspectos transversais da articulação das tecnologias digitais ao processo de desenvolvimento de conhecimentos profissionais na formação de professores. Tomando por referencial o conceito de conhecimento profissional de Lee Shulman e o construto sobre os conhecimentos pedagógico, tecnológico e do conteúdo – TPACK, a pesquisa buscou evidenciar as perspectivas de articulação dos conhecimentos tecnológico, pedagógico e do conteúdo (matemático) nas diversas atividades formativas de um Curso de Licenciatura em Matemática de uma universidade pública federal do Sul do Brasil. O material empírico da investigação, de natureza qualitativa e baseada em uma análise de conteúdo bardiniana, constituiu-se mediante a aplicação de questionários e realização de entrevistas com docentes e discentes do referido Curso, bem como análise dos Planos de Ensino das diversas componentes curriculares e demais atividades promovidas ao longo do processo formativo. Como resultado, identificamos quatro categorias de análise, sendo: perspectiva voltada à prática docente na Educação Básica; perspectiva voltada ao desenvolvimento de conhecimentos da Matemática; perspectiva voltada ao desenvolvimento de conhecimentos sobre as tecnologias e suas possibilidades pedagógicas; e perspectiva associada a aspectos transversais da formação e profissão docente, sendo esta última apresentada e discutida neste artigo. A análise dessa perspectiva mostrou que a articulação entre os conhecimentos pedagógicos, tecnológicos e do conteúdo é intrínseca ao próprio processo formativo no respectivo Curso, que relaciona estes conhecimentos de forma transversal nas distintas atividades no decorrer do percurso formativo. Os professores do Curso compreendem e evidenciam a importância de promover a formação dos futuros professores de matemática contemplando diferentes aspectos do conhecimento profissional, e o fazem numa perspectiva de transversalidade na medida em que promovem o uso de diferentes tecnologias também nas atividades de planejamento e gestão do ensino. Os acadêmicos do Curso, por sua vez, percebem as possibilidades de uso dos recursos digitais de forma articulada à prática docente, tendo uma percepção crítica e reflexiva de uso destes recursos nas suas práticas sociais, em sua organização profissional e nas práticas profissionais cotidianas. Os documentos analisados, igualmente, apontam para a importância e as possibilidades da articulação das tecnologias no desenvolvimento de diferentes conhecimentos profissionais subjacentes à formação docente em matemática, bem como à futura prática de sala aula na educação básica dos acadêmicos do Curso.   Palavras-chave: Conhecimento Pedagógico, Tecnológico e do Conteúdo. TPACK. Formação Inicial de Professores de Matemática. Tecnologias Digitais.   Abstract This paper, which is based on master research results concerning the perspectives of using digital technologies in mathematics teacher education, evidences and discusses transversal aspects of the articulation of digital technologies to the process of developing professional knowledge in teacher education. Based on the professional knowledge concept of Lee Shulman and on the theoretical construct related to pedagogical, technological and content knowledge – TPACK, the investigation aimed highlight perspectives to articulate technological, pedagogical and content (of math) knowledge in the distinct formative activities of a Mathematic Degree Course in a Brazil South’ federal public university. The empirical material of the research, which pursues a qualitative nature and bases on Bardin’ content analysis, was constituted from questionnaires and interviews realized with teachers and students of the Course, as well as analyses on teaching plans of all curricular components and distinct activities promoted during the Course. As result, we identified four categories: a perspective on teaching practice in Basic Education; perspective focused on the development of mathematical knowledge; perspective aimed at developing knowledge about technologies and their pedagogical possibilities; and perspective associated with transversal aspects to the teacher education and professional practice. In this article, we will discuss the last category. The analysis on this perspective highlighted that the articulation among pedagogical, technological, and content knowledge is inherent to the teacher education process of the Course, which relates this knowledge in a transversal way within the course’ disciplines. Teachers of the Course comprehend and evidence the importance to promote the education of prospective mathematics teachers taking into account the distinct professional knowledge aspects, and they do this on a perspective of transversally insofar as they also use technologies to plan and manage the teaching. Furthermore, students perceive the possibilities to use digital technologies in an integrated way to the teaching practice, developing a critical and reflexive perception related to the use of these resources in their social practices, professional organization, and everyday professional practices. Also, the documents analyzed point to the importance and possibilities arising from the articulation of digital technologies in the development of professional knowledge underlying to mathematics teacher education and future classroom practice in basic education of the Course’ students.   Keywords: Pedagogical, technological and content knowledge. TPACK. Prospective Teacher Education. Digital Technologies.


2021 ◽  
Vol 10 (2) ◽  
pp. 152
Author(s):  
Güneş Ertaş ◽  
Fatma Aslan-Tutak

This paper is a part of a broader study which aims to investigate mathematics teacher candidates' mathematical knowledge for teaching (MKT) by using the Turkish translated versions of TEDS-M (Teacher Education and Development Study in Mathematics) Primary and Secondary Released Items. The sample of the study comprised freshman (first year) and senior (fourth and fifth year) students from primary and secondary mathematics teacher education programs. Firstly, this study aimed to examine differences in MKT of teacher candidates at the beginning and at the end of their undergraduate education. For both departments, senior students had statistically significant higher scores than freshman students. Secondly, this study also aimed to examine participating Turkish preservice mathematics teachers’ mathematical knowledge for teaching by using international results of TEDS-M Study. Participating senior preservice teachers’ correct response percentages were higher than international average in all domains except “data” in primary level, and “data”, “mathematical modelling” and “symmetry” in secondary level. The common content domains where primary and secondary preservice teachers’ percentages were lower than international average is “data”. In this paper, these areas will be examined within the context of Turkish education.


2019 ◽  
Vol 8 (2) ◽  
Author(s):  
Hans-Georg Weigand

Advantages and disadvantages of the use of digital technologies (DT) in mathematics lessons are worldwidedissussed controversially. Many empirical studies show the benefitof the use of DT in classrooms. However, despite of inspiringresults, classroom suggestions, lesson plans and research reports,the use of DT has not succeeded, as many had expected during thelast decades. One reason is or might be that we have not been ableto convince teachers and lecturers at universities of the benefit ofDT in the classrooms in a sufficient way. However, to show thisbenefit has to be a crucial goal in teacher education because it willbe a condition for preparing teachers for industrial revolution 4.0.In the following we suggest a competence model, which classifies– for a special content (like function, equation or derivative) –the relation between levels of understanding (of the concept),representations of DT and different kind of classroom activities.The flesxible use of digital technologies will be seen in relationto this competence model, results of empirical investigations willbe intergrated and examples of the use of technologies in the upcoming digital age will be given.


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