scholarly journals The Didactic Notion of “Mathematical Activity” in Japanese Teachers’ Professional Scholarship: A Case Study of an Open Lesson

2021 ◽  
Vol 10 (1) ◽  
pp. 88
Author(s):  
Yukiko Asami-Johansson
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Teaching Practice ◽  
National Curriculum ◽  
Pedagogical Issues ◽  
Mathematical Activity ◽  
Generic Level ◽  
Anthropological Theory ◽  
Didactic Knowledge

This paper investigates how Japanese mathematics teachers produce and share didactic knowledge together. It is a case study of a post-lesson reflection meeting so-called open lesson. The crucial idea of this study is the dialectic between the specific and generic level of foci of the participants’ reflections about the observed teaching practice; namely, about applied teacher’s specific didactic technique for achieving a specific mathematical goal, and more general pedagogical issues such as realisation of the objectives of mathematics education. This dialectic is mediated by the meso-level notion of mathematical activity, described in the guidelines for Japanese national curriculum. The application of the scale of levels of didactic co-determination, provided by the anthropological theory of the didactic into the analysis shows in what way the dialectic interplay between the teachers’ comments with focus of the specific and generic levels influences the development and establishment of the Japanese teachers’ shared professional scholarship.

scholarly journals O ENSINO DE SITUAÇÕES MULTIPLICATIVAS: constatações a partir dos atos de mediação docente

2017 ◽  
Vol 24 (2) ◽  
pp. 74
Author(s):  
Eliziane Rocha Castro ◽  
Marcília Chagas Barreto ◽  
Antonio Luiz De Oliveira Barreto ◽  
Francisco Jeovane do Nascimento
Keyword(s):  
Elementary School ◽  
Mathematics Education ◽  
Teaching Practice ◽  
Field Research ◽  
Technical Skills ◽  
Theoretical Construct ◽  
Case Study Method ◽  
History Of ◽  
Professional History

ElResumo: Inserida no campo da Educação Matemática, esta investigação tem como objetivo central analisar os atos de mediação docente no ensino de situações multiplicativas no 5º ano do Ensino Fundamental, tendo como suporte referencial a Teoria dos Campos Conceituais. O constructo teórico prevê a estruturação dos conceitos de multiplicação e divisão em um único campo conceitual – o das Estruturas Multiplicativas. A pesquisa é de natureza qualitativa, ancorada no método do Estudo de Caso recaindo sobre os atos de mediação de uma docente do 5º ano do Ensino Fundamental de uma escola da rede pública do município de São Luís, Maranhão. A pesquisa de campo foi realizada nos meses de outubro e novembro de 2015. Os dados empíricos foram coletados por observação de três aulas previamente planejadas pela docente observada. Os achados dessa incursão investigativa apontam a carência do trabalho voltado para os aspectos conceituais das operações de multiplicação e divisão, bem como revelam a proeminência da simbolização em detrimento da conceitualização. As conclusões que se derivam dessa incursão investigativa entrelaçam aspectos inerentes à formação e à prática docente, na medida em que englobam o amplo repertório de eskemas concernentes à interação, comunicação, linguagem e afetividade, além do conjunto de competências técnicas e conhecimentos propagados nos espaços de formação que também modelam os atos de mediação docente no decurso da história individual e profissional dos professores.Palavras-chave: Situações multiplicativas. Mediação docente. Teoria dos Campos Conceituais.TEACHING SITUATIONS MULTIPLICATIVE: findings from the mediation acts of teachers Abstract: Inserted in the field of mathematics education, this research had as main objective to analyze the acts of teacher mediation in teaching multiplicative situations in the 5th year of elementary school, supported by the Theory of Conceptual Fields. The theoretical construct provides the structure of multiplication and division concepts into a single conceptual field - that of multiplicative structures. The research is qualitative in nature, anchored in the Case Study method falling on the acts of mediation of a teacher of the 5th year of elementary school in a public school in São Luís, Maranhão. The field research was conducted in the months of October and November 2015. The data were collected by observation of three classes previously planned by the teacher observed. The findings of this investigative foray point to the lack of focused work for the conceptual aspects of the multiplication and division operations , as well as reveal the prominence of symbolization at the expense of conceptualisation. The conclusions derived from this investigative foray intertwine aspects of training and teaching practice, in that it encompasses the broad repertoire  concerning the interaction, communication, language and affection, beyond the range of technical skills and propagate knowledge in the areas of training also model the acts of teaching mediation during personal and professional history of teachers.Keywords: Situations multiplicative. Mediation acts of teachers. Theory of Conceptual Fields.LA ENSEÑANZA DE SITUACIONES MULTIPLICATIVAS: resultados a partir de los actos de mediación docente Resumen: Insertado en el campo de la educación matemática, esta investigación tiene como objetivo principal analizar los actos de mediación docente en la enseñanza de las situaciones multiplicativas en el 5º año de la escuela primaria, utilizando como soporte de referencia la teoría de los campos conceptuales. La construcción teórica proporciona la estructura de los conceptos de multiplicación y división en un solo campo conceptual – el de las estructuras multiplicativas. La investigación es de naturaleza cualitativa, anclada en el método de estudio de caso que recae sobre los actos de la mediación de una docente de 5º año de primaria en una escuela pública en São Luís, Maranhão. La investigación de campo fue realizada en los meses de octubre y noviembre de 2015. Los datos empíricos fueron recogidos mediante la observación de tres clases previamente programadas por la profesora observada. Las conclusiones de este punto de incursión señalan la carencia de trabajo dirigido a los aspectos conceptuales de las operaciones matemáticas de multiplicación y división, así como revelan la prominencia de la simbolización en detrimento de la conceptualización. Las conclusiones derivadas de esa investigación entrelazan aspectos de la formación y la enseñanza práctica, ya que abarca el amplio repertorio de eskemas relativos a la interacción, comunicación, lenguaje y afectividad, además del conjunto de competencias técnicas y conocimientos propagados en los espacios de formación que también modelan los actos de mediación docente en el decurso de la historia personal y profesional de los profesores.Palabras clave: Situaciones multiplicativas. Mediación docente. Teoría de los Campos Conceptuales.       

scholarly journals The time is out of joint. Teacher subjectivity during COVID-19

2021 ◽  
Author(s):  
Alessandro Ramploud ◽  
Silvia Funghi ◽  
Maria Mellone
Keyword(s):  
Distance Education ◽  
Mathematics Education ◽  
Primary School ◽  
Mathematics Teachers ◽  
Theoretical Approach ◽  
Mathematics Teacher ◽  
Teacher Practice ◽  
School Teacher ◽  
Primary School Teacher

AbstractIn this study, we address the issue of mathematics teachers' personal and professional responsiveness to changing circumstances, such as the shift in external demands made on teacher practice due to the COVID-19 pandemic. For investigating a such delicate issue, we take a theoretical approach, which is quite novel in the field of mathematics education: Lacan's psychoanalytical lens. Specifically, we will use this psychoanalytical lens to analyze a case study focusing on a primary school teacher during the first lockdown in Italy, during which school was organized exclusively in the form of distance education. The analysis of the teacher’s crisis and the strategies she adopted to overcome this crisis give some suggestions about possible directions and issues to consider for future mathematics teacher training proposals.

scholarly journals Los recorridos de estudio e investigación en la construcción de buenas prácticas docentes en los estudios de ingenieríaStudy and research course in the building of good teaching practices in the engineering studies

2020 ◽  
Vol 22 (2) ◽  
pp. 789-812
Author(s):  
Cecilio Fonseca ◽  
José Manuel Casas ◽  
Ixchel Dzohara Gutiérrez-Rodríguez ◽  
Xabier García-Martínez
Keyword(s):  
Teaching Practice ◽  
Research Process ◽  
First Year ◽  
Mathematical Activity ◽  
Good Teaching ◽  
Anthropological Theory ◽  
Considerable Portion ◽  
Teaching Of Mathematics ◽  
Anthropological Theory Of Didactics ◽  
Buenas Prácticas

ResumenEn este trabajo nos proponemos, utilizando la Teoría Antropológica de lo Didáctico y un modelo particular de Recorrido de Estudio e Investigación, articular modelos de prácticas docentes que se pueden trasladar al primer curso de las escuelas de ingeniería. Lo haremos con un ejemplo de práctica docente que recubre una parte importante del programa de Álgebra Lineal, prioriza la enseñanza funcional de las matemáticas, introduce la razón de ser de la actividad matemática siempre a partir de situaciones problemáticas, entiende la enseñanza como un proceso de investigación y asigna nuevas responsabilidades a las matemáticas, al profesor y a los alumnos.Palabras-clave: Teoría antropológica de lo didáctico, recorrido de estudio e investigación, razón de ser, enseñanza funcional de las matemáticas, buenas prácticas docentes.AbstractIn this work we provide practical teaching models that can be moved to the first year of Engineering schools, using the Anthropological Theory of Didactics and a particular Study and Research Course. We will procced with an example of teaching practice that covers a considerable portion of the Linear Algebra programme, prioritising the functional teaching of mathematics, introducing the reason for being of the mathematical activity from riddles, understanding teaching as a research process designating new responsibilities to the mathematics, to the teacher and to the students.Keywords: anthropological theory of didactics, study and research course, reason for being, functional teaching of mathematics, fine teaching practices.ResumoNeste trabalho propomos, a partir da Teoria Antropológica da Didática e de um modelo particular da Rota de Estudo e Pesquisa, articular modelos de práticas pedagógicas passíveis de transferência para o primeiro ano das escolas de engenharia. Faremos isso com um exemplo de prática de ensino que cobre uma parte importante do programa de Álgebra Linear, prioriza o ensino funcional da matemática, apresenta a lógica da atividade matemática sempre a partir de situações problemáticas, entende o ensino como um processo de pesquisar e atribuir novas responsabilidades à matemática, ao professor e aos alunos.Palavras-chave: Teoria antropológica da didática, Percurso de estudo e pesquisa, Razão de ser, Ensino funcional da matemática, Boas práticas de ensino.

scholarly journals Implementation of Pedagogical Content Knowledge (PCK) of Mathematics Teachers in Teaching Practice: A Case Study

2017 ◽  
Vol 10 (3) ◽  
pp. 11 ◽  
Author(s):  
Maryono Maryono ◽  
Akbar Sutawidjaja ◽  
Subanji Subanji ◽  
Santi Irawati
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Teaching Practice ◽  
Linear Equations ◽  
Video Tape ◽  
Material System ◽  
Pedagogical Content ◽  
The Subject

This study aims to describe the implementation of pedagogical content knowledge (PCK) of mathematics teachers in the teaching practice of the material system of linear equations of two variables (SLETV). The approach used is a qualitative case study. The main instrument is the researchers themselves and the supporting instruments is a vignette sheet, sheet Content Representation (CoRe), and video tape recorders (Handycam). Research procedure includes providing vignette sheets and sheets of CoRe, making instructional videos and conducting the interview. Data were analyzed using frameworks Karahasan. The results showed that the subject 1 (S1) found that the implementation of the PCK S1 when teaching increased from PCK S1 prior to the implementation of the teaching practice, while the subject 2 (S2) found that the implementation of the PCK S2 upon teaching declined from PCK S2 prior to the implementation of the teaching practice.

Using Toulmin's Model to Develop Prospective Secondary Mathematics Teachers' Conceptions of Collective Argumentation

2014 ◽  
Vol 3 (1) ◽  
pp. 8-26 ◽  
Author(s):  
Patty Anne Wagner ◽  
Ryan C. Smith ◽  
AnnaMarie Conner ◽  
Laura M. Singletary ◽  
Richard T. Francisco
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Teaching Practice ◽  
Secondary Mathematics ◽  
Secondary Mathematics Teachers ◽  
Toulmin’S Model

As creating and critiquing arguments becomes more of a focus in mathematics classes, teachers need to develop their abilities to facilitate collective arguments. Many mathematics education researchers find Toulmin's (1958/2003) model of argumentation to be useful in analyzing arguments, raising the question of whether mathematics teachers would find it useful as well. We introduced the model to prospective secondary mathematics teachers and asked them to analyze arguments using it. We found that the prospective teachers developed an appropriate understanding of what collective argumentation looks like in the classroom, and the model provided them a lens for analyzing teaching practice. This suggests the use of Toulmin's model is a promising step in helping prospective teachers develop their conceptions of collective argumentation.

scholarly journals A Comparative Research on Proving: The Case of Prospective Mathematics Teachers

2019 ◽  
Vol 9 (4) ◽  
pp. 92
Author(s):  
Gülçin Oflaz ◽  
Kübra Polat ◽  
Duygu Altaylı Özgül ◽  
Mario Alcaide ◽  
José Carrillo
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
State Universities ◽  
Teaching Mathematics ◽  
Structured Interviews ◽  
Mathematical Proofs ◽  
Second Year ◽  
Prospective Mathematics Teachers

It is of critical importance, in particular, for mathematics teachers who will teach future generations to understand and do mathematical proofs. It is important to determine future teachers' beliefs about and difficulties with proofs because their knowledge of this issue affects their teaching. This study aims to determine and compare the proof schemes of prospective mathematics teachers from two state universities, one in Turkey and the other in Spain. The case study was conducted within this study. The participants were 51 prospective teachers at their second year from the department of teaching mathematics education at Huelva University in Spain and 45 prospective teachers from the department of teaching mathematics education at Cumhuriyet University in Turkey. The Proof Test consisted of four questions about proofs for parallelograms. Semi-structured interviews were subsequently conducted to investigate the prospective teachers’ responses in-depth. The findings suggest that prospective teachers from Turkey and Spain indicated affinity in proving. The majority of the prospective mathematics teachers were either unable to complete the proof or completed the proof in an inaccurate way.

scholarly journals Monitoria acadêmica nos cursos de Licenciatura em Matemática

2015 ◽  
Vol 4 (2) ◽  
Author(s):  
Marine Lisboa Alves Ferreira ◽  
Daiane Scopel Boff
Keyword(s):  
Mathematics Teachers ◽  
Teaching Practice ◽  
Structured Interviews ◽  
Academic Degree ◽  
Case Study Methodology ◽  
Monitor Function ◽  
Open Questions ◽  
Study Methodology ◽  
Monitoring Activity

Resumo: O presente artigo apresenta aspectos que circundam a monitoria acadêmica enquanto atividade de iniciação à prática docente nos cursos presenciais de Licenciatura em Matemática ofertados nas Instituições de Ensino Superior (IES) presentes na Serra Gaúcha. Para tal, discute-se a formação de professores de matemática e a mediação permanente de suas vivências em sua constituição enquanto professor, partindo do que a legislação e alguns autores explicitam acerca destas atividades. Utilizou-se como metodologia o estudo de caso, com entrevistas estruturadas e questões abertas. Foram entrevistados coordenadores dos cursos de Licenciatura em Matemática, orientadores de projetos e estudantes que exercem a função de monitor. Foi possível identificar e mapear o perfil dos projetos que possuem como variável a atividade de monitoria, bem como explicitar suas características, atribuições comuns aos monitores e o entendimento dos participantes em relação às atividades de monitoria. Ainda, constatou-se que estas atividades se dão de maneira bastante semelhante, tanto em diferentes projetos, quanto em diferentes IES e que vêm atingindo os objetivos intentos à sua criação. Palavras-chave: Iniciação à docência. Licenciatura em Matemática. Monitorias acadêmicas. MONITORING IN ACADEMIC DEGREE COURSES IN MATHEMATICS Abstract: This article presents aspects that surround the academic monitoring as initiation activity to the teaching practice in the classroom courses of Degree in Mathematics offered in Higher Education Institutions (HEIs) in the Serra Gaúcha. To this end, we discuss the training of mathematics teachers and the permanent monitoring of their experiences in their constitution as a teacher, starting from the legislation and some authors explain about these activities. It was used as the case study methodology, with structured interviews and open questions. Coordinators were interviewed of Degree courses in mathematics, guiding projects and students engaged in the monitor function. It was possible to identify and map the profile of projects that have as variable monitoring activity and explain its characteristics, common tasks to monitor and understanding of participants in relation to monitoring activities. Still, it was found that these activities take place in much the same way, both in different projects and in different IES and which have afflicted the thoughts goals to its creation Keywords: Initiation to teaching. Degree in Mathematics. Monitors academic.

scholarly journals La profesionalización docente en la modalidad online y la implementación de REI’s: aciertos y desafíosTeaching professionalization in the online mode and the implementation of REIs: successes and challenges

2020 ◽  
Vol 22 (4) ◽  
pp. 772-786
Author(s):  
Avenilde Romo Vázquez ◽  
Berta Barquero ◽  
Marianna Bosch
Keyword(s):  
Latin America ◽  
Mathematics Education ◽  
Mathematics Teachers ◽  
Teaching Practice ◽  
Training Device ◽  
Training Opportunity ◽  
Teacher Professionalization ◽  
Online Mode ◽  
Mathematics Program ◽  
Successes And Challenges

ResumenLa profesionalización docente en la modalidad online se ha venido conformando como una oportunidad de formación para los profesores de matemáticas en servicio. El Programa de Matemática Educativa del Instituto Politécnico Nacional de México se fundó en el año 2000 y desde entonces ha ofrecido un dispositivo de formación a los profesores de diversas regiones de México y de toda Latinoamérica. Uno de los objetivos principales de este programa es poner a disposición de los profesores herramientas teóricas y metodológicas producidas en la disciplina de la Educación Matemática para regular e innovar su práctica docente. Es así como desde el año 2013 hasta la fecha hemos venido diseñando e impartiendo cursos basados en la metodología REI-FP (Sierra 2013 y Ruiz-Olarría 2015). En esta comunicación se analizan elementos de última edición con el objetivo de mostrar “aciertos” y desafíos, reconociendo las particularidades de la modalidad online y de los dispositivos multimedia.Palabras-clave: profesionalización docente, modalidad online, Recorridos de Estudios y de Investigación.AbstractTeaching professionalization in online mode has become a training opportunity for in-service mathematics teachers. The Educational Mathematics Program of the National Polytechnic Institute of Mexico was founded in 2000 and since then has offered a training device to teachers from various regions of Mexico and Latin America. One of the main objectives of this program is to make available to teachers theoretical and methodological tools produced in the discipline of Mathematics Education to regulate and innovate their teaching practice. Since 2013 we have been designing and delivering courses based on the REI-FP methodology (Sierra 2013 and Ruiz-Olarría 2015). This communication analyses elements of latest edition with the aim of showing "successes" and challenges, recognizing the particularities of online mode and multimedia devices.Keywords: Teacher professionalization, Online modality, Study and Research Tours.

THE ANALYSIS OF PROBLEM BASED LEARNING (PBL) IN MICRO TEACHING COURSE TO FIT THE REQUIREMENT OF EFFECTIVE PRE-SERVICE TEACHERS

2019 ◽  
Vol 7 (2) ◽  
pp. 119
Author(s):  
Linda Linda ◽  
Apandi
Keyword(s):  
Qualitative Method ◽  
Teaching Practice ◽  
Problem Based Learning ◽  
Real Field ◽  
English Department ◽  
Effective Teacher ◽  
Existing Problems ◽  
Apply Problem ◽  
Pre Service Teacher

One of phenomena that occur in the educational world is the issue of discrepancies that occur between theory the pre-service teacher learned in college with implementation when they should teach in thereal fields (schools). Problem Based Learning (PBL) becomes one of the efforts to bridge the existing problems. This research is conducted to find out the extend of Problem Based Learning (PBL) in Micro Teaching course since the course must be accomplished by students before carrying out practical activities in the real field in the school at teaching training program. The writer uses descriptive qualitative method. And in this research the writer uses case study as a research design to find out the purpose of the research. The participants of the the research are 8 students from a class of micro teaching course in English Department of Universitas Swadaya Gunung Jati. In this paper, The Students as the Pre Service Teacher(s) are coded PST(s). The writer uses observation as the instruments of the research. Theory of Miles and Huberman are used to collect data from observation. Regarding to the discussion above, the four aspects of competences of effective teacher are shown in the teaching practice done by the students of Micro teaching course that apply Problem Based Learning (PBL). The majority results of the observation explain that applying Problem Based Learning in Micro Teaching course develops pre-service teachers competence in their teaching in classroom. This research shows pre-service teachers can integrate their competences and create good performance in their teaching practice.

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