Browsing by Author "Brocardo, Joana"
Now showing 1 - 10 of 55
Results Per Page
Sort Options
- 3rd year pupils' procedures to solve multiplication tasksPublication . Mendes, Fátima; Brocardo, Joana; Oliveira, Hélia
- Algoritmos e sentido do númeroPublication . Brocardo, Joana; Serrazina, Lurdes; Kroemer, Jean-Marie
- Challenging preservice teachers to produce varied mathematical problem solving strategiesPublication . Boavida, Ana Maria; Delgado, Catarina; Mendes, Fátima; Brocardo, JoanaThis paper presents preliminary results of a research project that aims to investigate preservice teachers’ 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.
- Como manuais escolares abordam o tema números racionaisPublication . Brocardo, Joana; Delgado, Catarina; Segurado, Irene; Rocha, Isabel; Pires, Manuela
- Constructing multiplication: different strategies used by pupilsPublication . Brocardo, Joana; Serrazina, Lurdes; Rocha, IsabelThe Project “Number sense development: curricular demands and perspectives” aims to study the development of number sense in elementary school (5 to 12 years old). This paper presents a discussion based on one of the six case studies developed by the project. We will focuses on the strategies used by 7-years old pupils when solving multiplication problems, namely on the awareness of existence of different strategies and the inclination to utilize an efficient representation or method.
- Desafios e complexidades na concepção e exploração de tarefas para o desenvolvimento do sentido do númeroPublication . Brocardo, Joana; Delgado, Catarina
- Desenvolver o raciocínio matemático dos alunos: práticas e desafiosPublication . Delgado, Catarina; Brocardo, Joana; Mendes, Fátima
- Developing algebraic thinking with ICTPublication . Duarte, José; Brocardo, Joana
- Developing flexible-adaptive reasoning and computingPublication . Brocardo, Joana; Kraemer, Jean-Marie; Mendes, Fátima; Delgado, CatarinaThe project ‘Numerical thinking and flexible calculation: critical issues’ aims to study students’ 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 Pedro’s 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.
- Dos números para a álgebra: por onde vão os alunos?Publication . Paiva, Ana Luísa; Brocardo, Joana; Paiva, Manuela