Mathematical understanding in problem solving with GeoGebra: a case study in initial teacher education

Author(s):  
Alexánder Hernández ◽  
Josefa Perdomo-Díaz ◽  
Matías Camacho-Machín
Author(s):  
Luiz Otavio Rodrigues Mendes ◽  
Ana Lucia Pereira ◽  
Marcelo Carlos de Proença

ResumoA resolução de problemas, quando trabalhada com o problema como ponto de partida, tem apresentado profícuas possibilidades no ensino superior. No entanto, quais as possíveis fragilidades quando se trabalha com esta abordagem nesta perspectiva? À vista disso, este artigo apresenta o resultado de uma pesquisa que tem como objetivo desvelar as fragilidades que se evidenciam a partir do desenvolvimento da abordagem de resolução de problemas, em que se tem o problema como ponto de partida na formação inicial de professores de Matemática, apresentadas em teses e dissertações. A partir de uma revisão sistemática da literatura, encontramos 12 pesquisas que constituíram o corpus de dados, para serem analisadas seguindo as técnicas de Análise de Conteúdo, de onde foi possível identificarmos quatro categorias. Os principais resultados revelam que as fragilidades se relacionam com: I) dificuldades quanto à falta de conhecimento sobre o conteúdo matemático da educação básica pelos licenciandos; II) dificuldades apresentadas pelos licenciandos em comunicar suas ideias a respeito do conteúdo matemático trabalhado; III) dificuldade no entendimento dos problemas pelos estudantes; e, IV) dificuldades relativas ao tempo, referentes à realização das atividades pelos licenciandos e ao desenvolvimento da abordagem de ensino. Tais apontamentos podem contribuir com pesquisas futuras que desejem traçar este caminho, aprimorando-as e contribuindo com o processo de ensino e aprendizagem da Matemática.Palavras-chave: Solução de problemas, Formação inicial de professores, Matemática.AbstractWhen working with the problem as a starting point, problem-solving has presented fruitful possibilities in Higher Education. However, what are the possible weaknesses when working with this approach from this perspective? In view of this, this article presents the result of research that aims to unveil the fragilities that are evident from the development of the problem-solving approach, in which the problem is taken as a starting point in the initial training of mathematics teachers, presented in theses and dissertations. From a systematic review of the literature, we found 12 surveys that constituted the corpus of data, to be analyzed following the Content Analysis techniques, from which it was possible to identify four categories. The main results reveal that the weaknesses are related to I) difficulties related to the students’ lack of knowledge about the mathematical content of basic education; II) students’ difficulties to communicate their ideas about the mathematical content worked; III) students’ difficulty in understanding the problems; and, IV) difficulties related to time, concerning the students’ activity performance and the development of the teaching approach. Such notes can contribute to future research that wishes to follow this path, improving them and contributing to the process of teaching and learning Mathematics.Keywords: Problem-solving, Initial teacher education, Mathematics.ResumenLa resolución de problemas cuando se trabaja con el problema como punto de partida, ha presentado posibilidades fructíferas en la educación superior. Sin embargo, ¿cuáles son las posibles debilidades de entender y trabajar con este enfoque en esta perspectiva? En vista de esto, este artículo presenta el resultado de una investigación que tiene como objetivo develar las debilidades que se evidencian a partir del desarrollo del enfoque de resolución de problemas, en el que el problema se toma como punto de partida en la formación inicial de docentes de Matemáticas, presentadas en tesis y disertaciones. A partir de una revisión sistemática de la literatura, se encontraron 12 investigaciones que constituían el corpus de datos, para ser analizadas siguiendo las técnicas de Análisis de Contenido de manera cualitativa. Los principales resultados revelan que las debilidades están relacionadas con I) dificultades relacionadas con la falta de conocimiento sobre el contenido matemático de la Educación Básica por parte de los estudiantes de docencia, II) dificultades presentadas por los estudiantes de docencia para comunicar sus ideas sobre el contenido matemático trabajado, III) dificultad presentada por los alumnos para comprender problemas y IV) dificultad relacionada con el tiempo para desarrollar actividades y aplicar el enfoque. Tales notas pueden contribuir a futuras investigaciones que deseen trazar este camino, mejorarlas y contribuir al proceso de enseñanza y aprendizaje de las Matemáticas.Palabras clave: Resolución de problemas, Formación inicial de profesores, Matemáticas


Author(s):  
Trish Lewis ◽  
Letitia Hochstrasser Fickel ◽  
Glynne Mackey ◽  
Des Breeze

Preservice teacher education programs prepare teachers for a variety of educational settings that serve a diverse range of children. Research suggests that many graduates lack confidence and the capability to teach those from backgrounds different from their own, including children from different cultural and linguistic backgrounds, those from lower socioeconomic backgrounds, and children with additional learning needs. In the bicultural, and increasingly multicultural, New Zealand context, preservice teachers are overwhelmingly from White, middle-class, monolingual backgrounds. This chapter offers a case study of the development of a community engagement course within an initial teacher education degree program. Based on Kolb's model of experiential learning and Moll's notions of funds of knowledge and identity, the course aims to enhance preservice teachers' knowledge of the lives of children they teach, and their dispositions and cultural competence for teaching, through personal and professional interaction with the community.


2019 ◽  
Vol 36 (3) ◽  
pp. 266-283 ◽  
Author(s):  
Ana Pedro ◽  
João Piedade ◽  
João Filipe Matos ◽  
Neuza Pedro

PurposeThe construction of learning scenarios is a way to plan for teaching activities, promoting the development of skills related to problem solving, collaboration, critical thinking and creativity. Using learning scenarios as a lesson planning strategy becomes a powerful tool in initial teacher education. On the one hand, it mobilizes teaching-related scientific concepts, and on the other hand, it offers opportunities to think on innovative pedagogic approaches involving strategies and capacities essential for the future teacher. Research shows that teacher education programs within real school contexts enriched with digital technologies represent an important factor in increasing the quality of teachers’ preparation and their future professional practice. The paper aims to discuss these issues.Design/methodology/approachThe authors present the analysis of practice of design and implementation of learning scenarios in teachers’ initial education courses developed with students of teaching master degrees. Activity theory is used in the analysis of a case study of a student-teacher in Computer Science.FindingsThe results have been analyzed, contributing to the specification of the principles underlying the learning scenarios in initial teacher education.Research limitations/implicationsResults show the affordances and possibilities of using learning scenarios as structuring resources for the initial teacher education practice.Originality/valueTherefore, the use of learning scenarios brings a set of potentialities to teacher training given its prospective nature.


1994 ◽  
Vol 42 (1) ◽  
pp. 26-61 ◽  
Author(s):  
Jonathan Gabe

This paper focuses on the instrumentalist Marxist model which has been used to explain the policies of the British state in the field of ‘race’-education. After discussing the model's core assumptions and its application in this field the paper explores the model's explanatory adequacy through a case study of the role of the quasi-state agencies of the ‘race’-relations industry in developing ‘race’-education policy in initial teacher education. It ends by considering whether a new conceptual framework is needed to understand ‘race’-education policy.


2013 ◽  
Vol 15 (2) ◽  
pp. 119-132 ◽  
Author(s):  
Lindsay Milligan Dombrowski ◽  
Eilidh Danson ◽  
Mike Danson ◽  
Douglas Chalmers ◽  
Peter Neil

Sign in / Sign up

Export Citation Format

Share Document