'Higher school mathematics' connotes typical upper secondary school and early college mathematics. The mathematics at this level is characterised by moves to (1) rigour in justification,(2) abstraction in content and (3) fluency in symbolic manipulation. This thesis investigates these three transitions - towards rigour, abstraction, and tluencyusing philosophical method: for each of the three transitions a proposition is presented and arguments are given in favour of that proposition. These arguments employ concepts and results from contemporary English language-medium philosophy and also rely crucially on classroom issues or accounts of mathematical experience both to elucidate meaning and for the domain of application. These three pro...
This survey paper will critically discuss four different strategies to explain our knowledge of math...
Abstract copyright UK Data Service and data collection copyright owner.In recent years there has bee...
In this paper, we propose an approach to analysing teacher arguments that takes into account field d...
This thesis is about the nature of proofs in mathematics as it is practiced, contrasting the informa...
Every student has a unique mathematical lived experience: a unique amalgamation of ideas about mathe...
To build a supplementary theory from which we can derive a practical way of fostering inquiring mind...
Mathematical discourse is often described as abstract and devoid of human presence, yet many school ...
This paper features an anecdotic narration in which a fictive narrator, addressing the author of thi...
In a high-stakes assessment culture, it is clearly important that learners of mathematics develop th...
The received view of mathematical practice is that mathematicians gain certainty in mathematical ass...
Original Copy has markingsThis work is a Wittgenstein-based philosophical analysis of mathematics ed...
© 2015 Springer Science+Business Media Dordrecht This paper argues that rationality and belief are m...
There are different narratives on mathematics as part of our world, some of which are more appropria...
In recent years several mathematics education researchers have attempted to analyse students’ argume...
Mathematics education research must enable adjustment to new conditions. Yet such research is often ...
This survey paper will critically discuss four different strategies to explain our knowledge of math...
Abstract copyright UK Data Service and data collection copyright owner.In recent years there has bee...
In this paper, we propose an approach to analysing teacher arguments that takes into account field d...
This thesis is about the nature of proofs in mathematics as it is practiced, contrasting the informa...
Every student has a unique mathematical lived experience: a unique amalgamation of ideas about mathe...
To build a supplementary theory from which we can derive a practical way of fostering inquiring mind...
Mathematical discourse is often described as abstract and devoid of human presence, yet many school ...
This paper features an anecdotic narration in which a fictive narrator, addressing the author of thi...
In a high-stakes assessment culture, it is clearly important that learners of mathematics develop th...
The received view of mathematical practice is that mathematicians gain certainty in mathematical ass...
Original Copy has markingsThis work is a Wittgenstein-based philosophical analysis of mathematics ed...
© 2015 Springer Science+Business Media Dordrecht This paper argues that rationality and belief are m...
There are different narratives on mathematics as part of our world, some of which are more appropria...
In recent years several mathematics education researchers have attempted to analyse students’ argume...
Mathematics education research must enable adjustment to new conditions. Yet such research is often ...
This survey paper will critically discuss four different strategies to explain our knowledge of math...
Abstract copyright UK Data Service and data collection copyright owner.In recent years there has bee...
In this paper, we propose an approach to analysing teacher arguments that takes into account field d...