This paper describes and analyses two mathematics lessons, one about subtraction for very young p... more This paper describes and analyses two mathematics lessons, one about subtraction for very young pupils, the other about gradients and graphs for lower secondary school pupils. The focus of the analysis is on teacher knowledge, and on the fundamental mathematical and mathematics-pedagogical requisites that underpin teaching these topics to these pupils. The claim is that, in the case of the elementary mathematics, the relevant 'foundation' knowledge is to teachers what Foundations of Mathematics is to mathematicians: invisible until it becomes necessary to know it: and that this very invisibility poses particular challenges to teachers of young children.
This paper describes a framework for mathematics lesson observation, the 'Knowledge Quartet&#... more This paper describes a framework for mathematics lesson observation, the 'Knowledge Quartet', and the purposes for which it was developed. A grounded theory approach to the analysis of many hours of classroom mathematics teaching led to the emergence of the framework, with four broad dimensions, through which the mathematics-related knowledge of the teacher participants could be observed in practice. This paper describes how each of these dimensions is characterised, and analyses one lesson, showing how each dimension of the Quartet can be identified in it. The paper concludes by outlining recent developments in the use of the Knowledge Quartet.
... The Pragmatics Education Vagueness in Mathematical Discourse ... The Pragmatics of Mathematic... more ... The Pragmatics Education Vagueness in Mathematical Discourse ... The Pragmatics of Mathematics Education: Vagueness in Mathematical Discourse Tim Rowland Page 4. ...
... A Research Monograph Olwen Mcnamara, Barbara Jaworski, ... Olwen Mcnamara: University of Manc... more ... A Research Monograph Olwen Mcnamara, Barbara Jaworski, ... Olwen Mcnamara: University of Manchester Barbara Jaworski: Institute of Mathematics, Agder University College, Kristiansand, Norway (Formerly at University of Oxford, Department of Educational Studies) ...
... Mathematics Knowledge for Teaching. Margaret Mohr. Article first published online: 17 MAR 201... more ... Mathematics Knowledge for Teaching. Margaret Mohr. Article first published online: 17 MAR 2010. DOI: 10.1111/j.1949-8594.2006.tb17910.x. ... More content like this. Find more content: like this article. Find more content written by: Margaret Mohr. ...
In this paper we consider data selected from two larger studies of mathematical discourse, one in... more In this paper we consider data selected from two larger studies of mathematical discourse, one in the Greek language, the other in English. The analysis focuses on participants''face-work'in the cause of 'politeness' ie efforts to sustain the autonomy and well-being of themselves and other participants. We examine the application of politeness theory (Brown & Levinson, 1987) in two differently 'politeness-oriented'cultures. Our analysis shows that speakers in both countries respect and try to preserve their hearer's face, and that ...
This paper describes and analyses two mathematics lessons, one about subtraction for very young p... more This paper describes and analyses two mathematics lessons, one about subtraction for very young pupils, the other about gradients and graphs for lower secondary school pupils. The focus of the analysis is on teacher knowledge, and on the fundamental mathematical and mathematics-pedagogical requisites that underpin teaching these topics to these pupils. The claim is that, in the case of the elementary mathematics, the relevant 'foundation' knowledge is to teachers what Foundations of Mathematics is to mathematicians: invisible until it becomes necessary to know it: and that this very invisibility poses particular challenges to teachers of young children.
This paper describes a framework for mathematics lesson observation, the 'Knowledge Quartet&#... more This paper describes a framework for mathematics lesson observation, the 'Knowledge Quartet', and the purposes for which it was developed. A grounded theory approach to the analysis of many hours of classroom mathematics teaching led to the emergence of the framework, with four broad dimensions, through which the mathematics-related knowledge of the teacher participants could be observed in practice. This paper describes how each of these dimensions is characterised, and analyses one lesson, showing how each dimension of the Quartet can be identified in it. The paper concludes by outlining recent developments in the use of the Knowledge Quartet.
... The Pragmatics Education Vagueness in Mathematical Discourse ... The Pragmatics of Mathematic... more ... The Pragmatics Education Vagueness in Mathematical Discourse ... The Pragmatics of Mathematics Education: Vagueness in Mathematical Discourse Tim Rowland Page 4. ...
... A Research Monograph Olwen Mcnamara, Barbara Jaworski, ... Olwen Mcnamara: University of Manc... more ... A Research Monograph Olwen Mcnamara, Barbara Jaworski, ... Olwen Mcnamara: University of Manchester Barbara Jaworski: Institute of Mathematics, Agder University College, Kristiansand, Norway (Formerly at University of Oxford, Department of Educational Studies) ...
... Mathematics Knowledge for Teaching. Margaret Mohr. Article first published online: 17 MAR 201... more ... Mathematics Knowledge for Teaching. Margaret Mohr. Article first published online: 17 MAR 2010. DOI: 10.1111/j.1949-8594.2006.tb17910.x. ... More content like this. Find more content: like this article. Find more content written by: Margaret Mohr. ...
In this paper we consider data selected from two larger studies of mathematical discourse, one in... more In this paper we consider data selected from two larger studies of mathematical discourse, one in the Greek language, the other in English. The analysis focuses on participants''face-work'in the cause of 'politeness' ie efforts to sustain the autonomy and well-being of themselves and other participants. We examine the application of politeness theory (Brown & Levinson, 1987) in two differently 'politeness-oriented'cultures. Our analysis shows that speakers in both countries respect and try to preserve their hearer's face, and that ...
Uploads
Papers by Tim Rowland