The use of visual arts applications to illustrate mathematical concepts is an old idea. Most inst... more The use of visual arts applications to illustrate mathematical concepts is an old idea. Most instances, however, involve the observation and analysis of finished works and artefacts, rather than focusing on the making of them. We propose the idea of making with rigour, which incorporates the deliberate attending to mathematical structures into the process of making artefacts using specifically selected techniques. In this workshop, we suggest that there are additional insights to be gained by learners through the making process. Further, working in the same medium and technique at multiple scales can develop mathematical sensitivities. This enhances understanding by exposing mathematically essential properties that remain constant across multiple scales, yet are observed through the diverse perspectives afforded by the differing scales. The workshop will bring these ideas to light through participant experience and subsequent discussion.
In this article, I argue that genre analysis is a form of discourse analysis which can provide us... more In this article, I argue that genre analysis is a form of discourse analysis which can provide useful and sometimes surprising new perspectives on understanding teaching and learning. An analysis of the written and spoken 'texts' of schooling, drawing on linguistic and literary analytic ...
... (Gillings, 1972, p. 169). Page 24. 10 A Man Left Albuquerque Heading East And an old English ... more ... (Gillings, 1972, p. 169). Page 24. 10 A Man Left Albuquerque Heading East And an old English nursery rhyme: As I was going to St. ... One camel was to transport the grain in three journeys, carrying thirty mea-sures on each journey. A camel eats one measure each half-league. ...
Even after more than 25 years of reform movements in school mathematics, it has been noted in man... more Even after more than 25 years of reform movements in school mathematics, it has been noted in many places (for example, Boaler 2002; Taylor 1996) that traditional mathematics classes are still prevalent in many schools worldwide. These classes offer little space for learners ...
This paper reports on the rationale for a new collaborative project at the University of British ... more This paper reports on the rationale for a new collaborative project at the University of British Columbia to develop multisensory software for secondary school mathematics learning. The project is described with reference to related mathematical, haptic, kinesthetic and musical software development for mathematics learning and in light of justifications for an embodied, multisensory, and fluidly translatable mathematics immediately applicable by students in purposeful ways. This paper offers a rationale and description of a newly-launched multifaceted collaborative design project for secondary school mathematics education. I will begin by outlining two big-picture problems in secondary mathematics noted by many educators: first, that many students have great difficulties dealing with an increasingly-abstract math curriculum as they progress through high school mathematics classes, and second, that traditionally-taught secondary school math classes do not address the modes of learnin...
... This shift can be seen in connection with a general interest in embodied learning throughout ... more ... This shift can be seen in connection with a general interest in embodied learning throughout the field of education (for example, Bresler, 2004; Fenwick, 2003; Juntunen & Hyvönen, 2004). ...Frankie: It's not so much seeing it. It is a little like being the graph. ...
Discourse: Studies in the Cultural Politics of Education, 2010
In recent years a great deal of work on mathematical word problems has focused on efforts to brin... more In recent years a great deal of work on mathematical word problems has focused on efforts to bring more of ‘real life’ into the problems themselves and students’ uptake of these problems. Following on from earlier studies of the word problem as a pedagogical and literary genre, the author argues that we cannot unproblematically assume an ability to know and
At the moment of Sputnik the planet became a global theatre in which there are no spectators but... more At the moment of Sputnik the planet became a global theatre in which there are no spectators but only actors. On Spaceship Earth, there are no passengers; everybody is a member of the crew. These facts do not present themselves as ideal but as immediate realities.
The use of visual arts applications to illustrate mathematical concepts is an old idea. Most inst... more The use of visual arts applications to illustrate mathematical concepts is an old idea. Most instances, however, involve the observation and analysis of finished works and artefacts, rather than focusing on the making of them. We propose the idea of making with rigour, which incorporates the deliberate attending to mathematical structures into the process of making artefacts using specifically selected techniques. In this workshop, we suggest that there are additional insights to be gained by learners through the making process. Further, working in the same medium and technique at multiple scales can develop mathematical sensitivities. This enhances understanding by exposing mathematically essential properties that remain constant across multiple scales, yet are observed through the diverse perspectives afforded by the differing scales. The workshop will bring these ideas to light through participant experience and subsequent discussion.
In this article, I argue that genre analysis is a form of discourse analysis which can provide us... more In this article, I argue that genre analysis is a form of discourse analysis which can provide useful and sometimes surprising new perspectives on understanding teaching and learning. An analysis of the written and spoken 'texts' of schooling, drawing on linguistic and literary analytic ...
... (Gillings, 1972, p. 169). Page 24. 10 A Man Left Albuquerque Heading East And an old English ... more ... (Gillings, 1972, p. 169). Page 24. 10 A Man Left Albuquerque Heading East And an old English nursery rhyme: As I was going to St. ... One camel was to transport the grain in three journeys, carrying thirty mea-sures on each journey. A camel eats one measure each half-league. ...
Even after more than 25 years of reform movements in school mathematics, it has been noted in man... more Even after more than 25 years of reform movements in school mathematics, it has been noted in many places (for example, Boaler 2002; Taylor 1996) that traditional mathematics classes are still prevalent in many schools worldwide. These classes offer little space for learners ...
This paper reports on the rationale for a new collaborative project at the University of British ... more This paper reports on the rationale for a new collaborative project at the University of British Columbia to develop multisensory software for secondary school mathematics learning. The project is described with reference to related mathematical, haptic, kinesthetic and musical software development for mathematics learning and in light of justifications for an embodied, multisensory, and fluidly translatable mathematics immediately applicable by students in purposeful ways. This paper offers a rationale and description of a newly-launched multifaceted collaborative design project for secondary school mathematics education. I will begin by outlining two big-picture problems in secondary mathematics noted by many educators: first, that many students have great difficulties dealing with an increasingly-abstract math curriculum as they progress through high school mathematics classes, and second, that traditionally-taught secondary school math classes do not address the modes of learnin...
... This shift can be seen in connection with a general interest in embodied learning throughout ... more ... This shift can be seen in connection with a general interest in embodied learning throughout the field of education (for example, Bresler, 2004; Fenwick, 2003; Juntunen & Hyvönen, 2004). ...Frankie: It's not so much seeing it. It is a little like being the graph. ...
Discourse: Studies in the Cultural Politics of Education, 2010
In recent years a great deal of work on mathematical word problems has focused on efforts to brin... more In recent years a great deal of work on mathematical word problems has focused on efforts to bring more of ‘real life’ into the problems themselves and students’ uptake of these problems. Following on from earlier studies of the word problem as a pedagogical and literary genre, the author argues that we cannot unproblematically assume an ability to know and
At the moment of Sputnik the planet became a global theatre in which there are no spectators but... more At the moment of Sputnik the planet became a global theatre in which there are no spectators but only actors. On Spaceship Earth, there are no passengers; everybody is a member of the crew. These facts do not present themselves as ideal but as immediate realities.
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