Teaching and learning mathematics using moodle

This paper summarizes a project that is contributing to a change in the way of teaching and learning Mathematics. Mathematics is a subject of the Accounting and Administration course. In this subject we teach: Functions and Algebra. The aim is that the student understand the basic concepts and is able to apply them in other issues, when possible, establishing a bridge between the issues that they have studied and their application in Accounting. As from this year, the Accounting course falls under in Bologna Process. The teacher and the student roles have changed. The time for theoretical and practical classes has been reduced, so it was necessary to modify the way of teaching and learning. In the theoretical classes we use systems of multimedia projection to present the concepts, and in the practical classes we solve exercises. We also use the Excel and the mathematical open source software wxMaxima. To supplement our theoretical and practical classes we have developed a project called MatActiva based on the Moodle platform offered by PAOL - Projecto de Apoio Online (Online Support Project). With the creation of this new project we wanted to take advantage already obtained results with the previous experiences, giving to the students opportunities to complement their study in Mathematics. One of the great objectives is to motivate students, encourage them to overcome theirs difficulties through an auto-study giving them more confidence. In the MatActiva project the students have a big collection of information about the way of the subject works, which includes the objectives, the program, recommended bibliography, evaluation method and summaries. It works as material support for the practical and theoretical classes, the slides of the theoretical classes are available, the sheets with exercises for the students to do in the classroom and complementary exercises, as well as the exams of previous years. Students can also do diagnostic tests and evaluation tests online. Our approach is a reflexive one, based on the professional experience of the teachers that explore and incorporate new tools of Moodle with their students and coordinate the project MatActiva.

La Enseñanza de los sistemas externos de representación matemáticos y lingüísticos en la educación infantil

El objetivo de este estudio es identificar factores que contribuyen a mantener un enfoque básicamente instrumental para enseñar los sistemas externos de representación matemáticos y lingüísticos en las primeras edades de escolarización. En el estudio han participado 123 maestros de Educación Infantil de diversos centros escolares públicos de Andalucía, Asturias, Cataluña y Navarra que han asistido a cursos de formación permanente del profesorado. El análisis cualitativo realizado se basa en grupos de discusión a partir de tópicos. Los resultados evidencian la influencia de diversos factores: el currículo de Educación Infantil; las concepciones del profesorado; las presiones entre etapas educativas; y, finalmente, la presión social. La identificación de los factores asociados a una enseñanza instrumental de los sistemas externos de representación puede entenderse como un tipo de información relevante acerca de las condiciones de la enseñanza de estos sistemas que, además, pueden servir de base para reconstruir las prácticas educativas

Cómo enseñar matemáticas en las primeras edades a partir de contextos de vida cotidiana = How to teach mathematics to young students based on everyday contexts

This paper stresses the importance of developing mathematical thought in young children based on everyday contexts, since these are meaningful learning situations with an interdisciplinary, globalised focus. The first part sets out the framework of reference that lays the theoretical foundations for these kinds of educational practices. The second part gives some teaching orientations for work based on everyday contexts. It concludes with the presentation of the activity 'We’re off to the cinema to learn mathematics!'

Una visión actualizada de la didáctica de la matemática en educación infantil = An up-to-date vision of pre-school mathematics teaching

This article aims to investigate pre-school mathematics teaching from an uptodate perspective. To pursue this contemporary vision we focus on four key questions: what kind of maths is being worked on, who is doing it, how it is being done, and why it is being done

The effects of teaching a mathematics problem solving strategy on the problem solving ability of grade nine students

Forty grade 9 students were selected from a small rural board in southern Ontario. The students were in two classes and were treated as two groups. The treatment group received instruction in the Logical Numerical Problem Solving Strategy every day for 37 minutes over a 6 week period. The control group received instruction in problem solving without this strategy over the same time period. Then the control group received the treat~ent and the treatment group received the instruction without the strategy. Quite a large variance was found in the problem solving ability of students in grade 9. It was also found that the growth of the problem solving ability achievement of students could be measured using growth strands based upon the results of the pilot study. The analysis of the results of the study using t-tests and a MANOVA demonstrated that the teaching of the strategy did not significaritly (at p s 0.05) increase the problem solving achievement of the students. However, there was an encouraging trend seen in the data.

Teachers' professional learning within communities of mathematics-for-teaching practice

Ontario bansho is an emergent mathematics instructional strategy used by teachers working within communities of practice that has been deemed to have a transformational effect on teachers' professional learning of mathematics. This study sought to answer the following question: How does teachers' implementation of Ontario bansho within their communities of practice inform their professional learning process concerning mathematics-for-teaching? Two other key questions also guided the study: What processes support teachers' professional learning of content-for-teaching? What conditions support teachers' professional learning of content-for-teaching? The study followed an interpretive phenomenological approach to collect data using a purposive sampling of teachers as participants. The researcher conducted interviews and followed an interpretive approach to data analysis to investigate how teachers construct meaning and create interpretations through their social interactions. The study developed a model of professional learning made up of 3 processes, informing with resources, engaging with students, and visualizing and schematizing in which the participants engaged and 2 conditions, ownership and community that supported the 3 processes. The 3 processes occur in ways that are complex, recursive, nonpredictable, and contextual. This model provides a framework for facilitators and leaders to plan for effective, content-relevant professional learning by placing teachers, students, and their learning at the heart of professional learning.

Les ressources didactiques : typologie d’usages en lien avec la méthode historique et l’intervention éducative d’enseignants d’histoire au secondaire

Les manuels d’histoire ont souvent fait l’objet d’analyses concernant leur contenu et leur qualité, mais rarement leurs usages en classe. Cette thèse vise à décrire et analyser comment des enseignants d’histoire du Québec au secondaire utilisent le manuel et toute autre ressource didactique. Le problème consiste à mieux connaître ce qui se passe en classe depuis l’implantation de la réforme curriculaire, en 2001, et comment les conceptions des enseignants influencent leurs pratiques en lien avec l’exercice de la méthode historique. Ce travail décrit des pratiques enseignantes selon leur intervention éducative, les ressources didactiques utilisées et l’activité de l’élève en classe. Pour ce faire, la collecte de données est réalisée au travers d’un sondage en ligne (n= 81), d’observations en classe et d’entrevues (n=8) avec les participants. Les enseignants d’histoire utilisent souvent le manuel, mais leur intervention n’est pas structurée par son contenu ou ses exercices. Les cahiers d’exercices ou le récit de l’enseignant semblent structurer principalement leurs interventions. En fait, leurs conceptions sur l’enseignement et l’apprentissage en histoire déterminent le plus souvent l’usage du manuel et des autres ressources didactiques d’une manière traditionnelle ou d’une manière qui exerce authentiquement la méthode historique. Afin de décrire ces différents usages, la thèse propose une typologie qui distingue les différentes modalités mises en place afin d’utiliser les ressources didactiques et exercer la méthode historique. Trois principaux types sont énoncés : intensif, extensif et critique. Un quatrième type a été ajouté afin de mieux nuancer les différentes pratiques enseignantes rencontrées : extensif-méthodique. Ce dernier type s’explique par une pratique enseignante qui concilie les types extensif et critique selon les besoins de l’enseignant. La thèse souligne la persistance de pratiques transmissives et magistrocentrées qui limitent un exercice authentique de la méthode historique, alors que le curriculum vise un enseignement constructiviste et que plus de ressources sont disponibles pour les enseignants.

La programmation informatique dans la recherche et la formation en mathématiques au niveau universitaire

Une étude récente auprès de 302 mathématiciens canadiens révèle un écart intriguant : tandis que 43% des sondés utilisent la programmation informatique dans leur recherche, seulement 18% indiquent qu'ils emploient cette technologie dans leur enseignement (Buteau et coll., 2014). La première donnée reflète le potentiel énorme qu'a la programmation pour faire et apprendre des mathématiques. La deuxième donnée a inspiré ce mémoire : pourquoi existe-t-il un tel écart ? Pour répondre à cette question, nous avons mené une étude exploratoire qui cherche à mieux comprendre la place de la programmation dans la recherche et la formation en mathématiques au niveau universitaire. Des entrevues semi-dirigées ont été conduites avec 14 mathématiciens travaillant dans des domaines variés et à différentes universités à travers le pays. Notre analyse qualitative nous permet de décrire les façons dont ces mathématiciens construisent des programmes informatiques afin d'accomplir plusieurs tâches (p.e., simuler des phénomènes réels, faire des mathématiques « expérimentales », développer de nouveaux outils puissants). Elle nous permet également d'identifier des moments où les mathématiciens exposent leurs étudiants à certains éléments de ces pratiques en recherche. Nous notons toutefois que les étudiants sont rarement invités à concevoir et à écrire leurs propres programmes. Enfin, nos participants évoquent plusieurs contraintes institutionnelles : le curriculum, la culture départementale, les ressources humaines, les traditions en mathématiques, etc. Quelques-unes de ces contraintes, qui semblent limiter l'expérience mathématique des étudiants de premier cycle, pourraient être revues.

Representation and interpretation : textbooks, teachers, and historical culture

This article presents a study of how contemporary Swedish lower secondary school textbooks present the emergence of the Cold War and how 10 active lower secondary school history teachers interpreted a quotation that was ambiguous in relation to the general narrative in the studied Swedish textbooks, seeking to analyse textbooks both from the perspectives of content and reception. Applying a theoretical framework of uses of history, the study finds that the narratives presented in the studied textbooks are what could be called traditional in the sense that they do not acknowledge perspective and representation in history. While the interviewed teachers generally acknowledged that textbook narratives are representations of history and contingent on perspective, few teachers extended this to include how their own views affect their interpretations, suggesting an intermediary appreciation of the contextual contingency of historical narratives.

Projetos políticos pedagógicos dos cursos de Odontologia do RN : formação profissional e a perspectiva da atenção à terceira idade

Brazil has been undergoing major demographic change.According to IBGE, the next 20 years the country's elderly population may reach over 30 million people. This tariff provides specifics regarding the process of health / disease. It is essential that higher education institutions are committed to this demand in view of the integrated training of health needs of society. The aim of this study is to analyze the Pedagogical Political Projects (PPP) of courses in dentistry in Rio Grande do Norte (RN), according to the national curriculum guidelines (DCNS) and training from the perspective of health care for the elderly. This is an exploratory study with a qualitative approach: with records and interviews. The study subjects were an Assistant Professor in the development of PPPs for each institution. The scenario in this study were dental training institutions in the newborns. Initially, the analysis of the PPP was by using the Alceste 4.9 software. The interpretation of the contents of interviews with teachers was done through content analysis of Bardin (2010). The PPPs are based on the DCNS, meet the characteristics of regional and seek a generalist, but still strongly directed to technical and scientific aspects of professional practice. Efforts and institutional approaches, involving teachers and students of the courses are being mobilized for training with more articulated network of health services. However, the emphasis on content pertaining to the health care of the elderly, is still limited when compared to those targeted content inherent in children and adolescents in all three curricular structures. It is reasonable to conclude that the historical, political, scientific, cultural and social, present in society, influence the formation of the dental professional RN. The greater participation of society in the process of vocational training in dentistry is needed. This can be done from the involvement of universities with health councils, bodies representing the dental profession and other segments of civil society in order to induce changes that generate ideas and educational practices integrative and interdisciplinary, with emphasis on continuing education for teachers, servants, employees and students. Containing conduct this process inherent flexibility of curriculum, teaching-service integration and coordination abilities and professional skills that are essential to understanding the human being and its complexities

Ensino e aprendizagem de poliedros regulares via a teoria de Van Hiele com origami

Pós-graduação em Matemática em Rede Nacional - IBILCE

O processo de ensino - aprendizado - avaliação de matemática através da resolução de problemas no contexto da formação inicial do professor de matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Jogo Mega-Duque: uma proposta para o ensino de probabilidade

Pós-graduação em Matemática em Rede Nacional - IBILCE

Travessias de Cecília: a caminho da educação matemática no CEEJA Padre Moretti - Rondônia

Pós-graduação em Educação Matemática - IGCE

Práticas algébricas no contexto da modelagem compreendida como proposta pedagógica

Pós-graduação em Educação Matemática - IGCE