This paper presents the model, The Mathematics Teacher's Specialised Knowledge (MTSK). It acknowledges earlier contributions to understanding and structuring teachers' knowledge, in particular, the special debt owed to Shulman's notion of pedagogical content knowledge and to Ball and collaborators' Mathematical Knowledge for Teaching (MKT) influential for the specialised nature of one of its sub-domains. Our research with teachers has led us to explore the characteristics of MKT and to refine the descriptors relating to its sub-domains, a task which has underlined the difficulty involved in unambiguously delimiting the boundaries which separate these. As a result, and taking into consideration a broader view of the specialised nature of the teacher's mathematical knowledge, we propose a framework which, whilst respecting the major domains of Content Knowledge and Pedagogical Content Knowledge, regards the specialisation in respect of mathematical knowledge as a property which is inherent to the model and extends across all sub-domains.
Resumen El profesor desempeña un papel crucial en la articulación de los Espacios de Trabajo Matemático. El modelo de conocimiento del profesor que aquí se presenta (denominado Mathematics Teacher’s Specialised Knowledge) propone una estructuración de dicho conocimiento basada en la noción de ‘especialización’. Esta estructuración, particularmente la consideración de sus componentes (subdominios), permite comprender el conocimiento que el profesor pone en juego en la transición entre los distintos Espacios (idóneo, personal y de referencia) de Trabajo Matemático, así como las relaciones entre estos.
Resumen: En este trabajo reflexionamos sobre el conocimiento profesional del profesor de Educación Infantil en relación con la resta. La atención al conocimiento deseable de este profesional es relativamente reciente, existiendo escasos estudios que aborden este tema. Partimos de la consideración de que este conocimiento es especializado; diferente al del profesor de Primaria o Secundaria; y su caracterización debe realizarse desde un enfoque centrado en la propia matemática. Esto nos lleva a considerar el modelo del Conocimiento Especializado del Profesor de Matemáticas (Mathematics Teachers’ Specialised Knowledge, MTSK) como herramienta teórica y analítica idónea para ofrecer una propuesta de elementos de conocimiento especializado que, a la luz de nuestra experiencia docente e investigadora, consideramos que deseables para este profesional en relación con la resta, incluyendo aspectos de conocimiento del contenido (Mathematical Knowledge, MK) y de conocimiento didáctico del contenido (Pedagogical Content Knowledge, PCK). La reflexión sobre esta propuesta nos lleva a destacar tres elementos principales que parecen caracterizadores de la naturaleza de este conocimiento: su densidad y cohesión, la profundidad de los conocimientos matemáticos implicados y su repercusión para construir un adecuado PCK; y la relevancia del conocimiento de las fases que los niños siguen en su proceso de comprensión del número. Se aportan sugerencias para la formación inicial y continua de estos profesionales.Palabras clave: Conocimiento especializado del profesor de matemáticas. MTSK. Profesor de Educación Infantil. Resta. Conocimiento matemático del contenido y conocimiento didáctico del contenido.KINDERGARTEN TEACHERS’ SPECIALISED KNOWLEDGE ON SUBTRACTION Abstract: In this paper we reflect upon the early childhood teachers’ professional knowledge in relation to subtraction. Paying attention to this professional desirable knowledge is relatively recent, and thus there are few studies that address it. We assume as a starting point the consideration that this knowledge is specialized; differs from that of primary or secondary teachers’; and its characterization must be carried out from an approach centered on mathematics itself. This leads us to consider the model of Mathematics Teachers’ Specialised Knowledge (MTSK) as a suitable theoretical and analytical tool to offer a proposal of specialized knowledge elements that, in light of our teaching and research experience, we considered desirable for the work of teaching of these professionals in relation to subtraction. In this proposal we include aspects of Mathematical Knowledge (MK) and of Pedagogical Content knowledge (PCK). In the proposal we highlight three main elements that seem to characterize the nature of this knowledge: its density and cohesion; the depth of the mathematical knowledge involved and its impact to build an adequate PCK; and the relevance of knowledge of the phases that children follow in their process of understanding the number. Some recommendations for early years teachers’ education are provided.Keywords: Mathematics Teachers’ Specialised Knowledge. MTSK. Early childhood teacher. Subtraction. Mathematical knowledge. Pedagogical content knowledge.CONHECIMENTO ESPECIALIZADO DO PROFESSOR DA EDUCAÇÃO INFANTIL NO ÂMBITO DO TEMA DA SUBTRAÇÃO Resumo: Neste trabalho, refletimos sobre o conhecimento profissional do professor de Educação Infantil em relação à subtração. Considerar como foco de atenção o conhecimento desejável destes professores é algo relativamente recente, existindo poucos estudos que abordam esta questão. Partimos da consideração de que esse conhecimento é especializado; diferente do conhecimento do professor das etapas escolares seguintes; e sua caracterização deve ser realizada a partir de uma abordagem centrada na própria matemática. Nesse sentido consideramos a conceitualização do Mathematics Teachers’ Specialized Knowledge (MTSK) como uma ferramenta teórica e analítica para conceitualizar uma proposta de elementos constituintes do conhecimento especializado ideal do professor no âmbito que, à luz de nossa experiência de ensino e pesquisa, consideramos desejável para este profissional em relação à subtração. Nesta proposta incluímos aspectos do conhecimento do conteúdo e do conhecimento pedagógico do conteúdo (PCK). Nesta proposta destacamos três elementos principais que parecem caracterizar a natureza desse conhecimento: sua densidade e coesão; a profundidade do conhecimento matemático envolvido e seu impacto para construir um PCK adequado; e a relevância do conhecimento do professor das fases que as crianças seguem no seu processo de compreensão do número em etapas educativas posteriores. São fornecidas sugestões para a formação inicial e contínua de professores.Palavras chave: Conhecimento Especializado em Professores de Matemática. MTSK. Professor de Educação Infantil. Subtração. Conhecimento matemático do conteúdo e conhecimento pedagógico do conteúdo.
The motivation for this study is to understand the professional knowledge that a teacher displays in her classroom when she teaches mathematics classes. To this end, our goal is to describe the possible relationships of the subdomains of Mathematics Teacher's Specialised Knowledge (MTSK) model and the Conceptions about Mathematics Teaching and Learning (CMTL) that are integrated in it. This article presents a position on professional knowledge, the methodological design used has been an interpretative approach with a case study design of a 5th grade teacher in Primary Education, and some results which exemplify how these relationships have been identified and analyzed, and how they have helped to explain and understand the knowledge that the teacher mobilizes in her classroom. Finally, we express how this study can be used for teacher training in mathematics.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.