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- Desenvolver o raciocĂnio matemĂĄtico dos alunos: prĂĄticas e desafiosPublication . Delgado, Catarina; Brocardo, Joana; Mendes, FĂĄtima
- Geometria: textos de apoio para educadores de infânciaPublication . Mendes, Fåtima; Delgado, Catarina
- Developing flexible-adaptive reasoning and computingPublication . Brocardo, Joana; Kraemer, Jean-Marie; Mendes, FĂĄtima; Delgado, CatarinaThe project âNumerical thinking and flexible calculation: critical issuesâ aims to study studentsâ conceptual knowledge associated with the understanding of the different levels of learning numbers and operations. We follow the idea proposed by several authors that flexibility refers to the ability to manipulate numbers as mathematical objects which can be decomposed and recomposed in multiple ways using different symbolisms for the same objet (Gravemeijer, 2004; Gray &Tall, 1994;). The project plan is based on a qualitative and interpretative methodology (Denzin & Lincoln, 2005) with a design research approach (Gravemeijer & Cobb, 2006). This article focus the preparation of a teaching experience centered in the flexible learning of multiplication. It describes the analysis of a clinical interview where Pedro (9 years) solves the task 'Prawn skewers'. It illustrates how we identify and describe Pedroâs conceptual knowledge associated with the different levels of understanding of numbers and multiplication/division and analyzes if and how this knowledge facilitates adaptive thinking and flexible calculation.
- Projeto ARTICULAR: uma experiĂŞncia de articulação curricular na formação inicial de educadores e professoresPublication . Mendes, FĂĄtima; Pinto, Mariana Oliveira; Delgado, Catarina; Costa, Ana LuĂsa
- Desenvolvimento de competências de escrita acadÊmica e feedback: uma experiência de articulação curricularPublication . Pinto, Mariana Oliveira; Delgado, Catarina; Mendes, Fåtima
- Números e operaçþes: 1º ano: números naturais, operaçþes com números naturais, regularidadesPublication . Brocardo, Joana; Delgado, Catarina; Mendes, Fåtima
- The development of geometrical knowledge starting from arts educationPublication . Delgado, Catarina; Mendes, FĂĄtima; Fialho, FilipeThis poster is focused on the development of studentsâ geometrical knowledge through connections with arts education. More specifically, we present a set of didactic activities and tasks for elementary school students that involves geometry and arts, in an interdisciplinary perspective, and we also analyze and discuss their potentialities in the development of studentsâ geometrical knowledge.
- Exploring students adaptive use of domain specific knowledgePublication . Brocardo, Joana; Delgado, Catarina; Mendes, FĂĄtima; Kraemer, Jean MarieAdaptive use of meaningful knowledge is widely adopted as key learning objective in the changing society. This paper presents the results of a teaching experiment in the domain of partitive division. It is designed to explore how grade-3 students do adapt personal knowledge to the variation in task conditions. Under the first condition groups of four and six students explore the process of distributing 52 carts between four/six persons. They can use 52 unifix cubes to model the process directly. The second condition requires that they mentally anticipate the results of sharing the same quantity of carts between respectively two and three children. The study shows that the variation in conditions combined with classroom climate challenge a great part of the students to use adaptively âpieces of knowledgeâ acquired in different areas of reasoning in equal group situations.
- Flexible calculation: key ideas from students' solutionsPublication . Brocardo, Joana; Mendes, FĂĄtima; Delgado, Catarina
- Challenging preservice teachers to produce varied mathematical problem solving strategiesPublication . Boavida, Ana Maria; Delgado, Catarina; Mendes, FĂĄtima; Brocardo, JoanaThis paper presents preliminary results of a research project that aims to investigate preservice teachersâ capacity to produce and analyse solution strategies to solve mathematical problems. From a methodological point of view, the study is of a qualitative nature and is being developed with future kindergarten and primary teachers who are enrolled in mathematical courses of a bachelor degree in elementary education at a public teacher education institute in central Portugal. The results suggest that although there has been an incipient progress concerning the production, by the future teachers, of more than one strategy to solve the same problems, reaching this goal is not an easy endeavour. It requires a deep and flexible knowledge about the mathematical content in order to be able to analyse problems from several points of view.