Grade 6 teachers’ s mathematical Knowledge for teaching:  The concept of fractions

In their description of the mathematical work of teaching, Ball, Bass & Hill (2004) describe the mathematical problem solving that teachers do as they go about their work. In this paper we add to this description through our study of teaching of probability in a grade 8 multilingual classroom in South Africa. We use instances of teaching to highlight the mathematical problem solving that teachers might face as they work with learners’ ideas, both expected and unexpected. We discuss the restructuring of tasks as an inevitable feature of teachers’ work, and argue that in addition to scaling up or scaling down of the task as Ball et al. (2004) describe, restructuring can also entail shifting the mathematical outcomes from those intended. We also point out how well known issues in mathematics education, for example working with learners’ everyday knowledge, and the languages they bring to class, are highlighted by the context of probability, enabling additional insights into the mathematical work of teaching.

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An Investigation of Teachers’ Noticing, Cognitive Demand, and Mathematical Knowledge for Teaching: Video Reflections in an Elementary Mathematics Context

10.5642/cguetd/88 ◽

2014 ◽

Author(s):

Lorelei R Coddington

Keyword(s):

Mathematical Knowledge ◽

Elementary Mathematics ◽

Cognitive Demand ◽

Mathematical Knowledge For Teaching ◽

Knowledge For Teaching ◽

Teaching Video

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Conhecimentos de Professores de Matemática em Início de Carreira Sobre o Campo Aditivo

Jornal Internacional de Estudos em Educação Matemática ◽

10.17921/2176-5634.2020v13n1p53-63 ◽

2020 ◽

Vol 13 (1) ◽

pp. 53-63

Author(s):

Rafael Neves Almeida ◽

Ruy Cesar Pietropaolo

Keyword(s):

Data Collection ◽

Knowledge Base ◽

Mathematical Knowledge ◽

Mathematical Knowledge For Teaching ◽

Early Career ◽

Early Career Teachers ◽

Knowledge For Teaching ◽

Problem Situations ◽

Scholarship Recipients ◽

Career Teachers

Este trabalho apresenta um estudo realizado com cinco professores de Matemática, em início de carreira, ex-bolsistas do Programa Institucional de Bolsa de Iniciação à Docência (Pibid), cujo objetivo foi evidenciar os Conhecimentos Didáticos e Curriculares dos participantes sobre o ensino de problemas do campo aditivo, conforme indicado pelos parâmetros curriculares nacionais. A coleta de dados se deu por meio de entrevistas e protocolos respondidos pelos professores. Como referenciais teóricos, no tocante ao início de carreira, foram utilizados os trabalhos de Huberman e Garcia. Em relação aos conhecimentos de professores necessários à docência optou-se por Ball, Thames e Phelps. A análise dos dados nos permitiu verificar que os professores no processo de ensino do campo aditivo dão bastante ênfase à ideia de combinar dois estados para obter um terceiro, não destacando outros importantes significados. Portanto, faz-se necessário uma ampliação na base de conhecimentos desses docentes para o ensino das operações. Palavras-chave: Professores em Início de Carreira. Conhecimentos Matemáticos para o Ensino. Campo Aditivo. PIBID. Abstract In this work, we will present a study carried out with five early-career teachers, former scholarship recipients of the Programa Institucional de Bolsa de Iniciação a Docência (Pibid), whose objective was to highlight the participants' Didactic and Curricular Knowledge about the notion of addition. The data collection was done through interviews and protocols answered by the teachers. As theoretical references, regarding the beginning of the career, the works of Huberman (1995) and Garcia (1999) were used. Regarding the teachers' knowledge required for teaching, Ball, Thames and Phelps (2008) were chosen. The analysis of the data allowed us to verify that the teachers' knowledge about addition operation is restricted to the meaning of joining and that the idea most used to work with this theme in the classroom involves problem situations with money. Therefore, it is necessary to increase the knowledge base of these teachers. Keywords: Teacher Early-Career Teachers. Mathematical Knowledge for Teaching (MKT).

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