This paper presents a rationale and a conceptual framework for a wider research project dealing w... more This paper presents a rationale and a conceptual framework for a wider research project dealing with mathematical communication, and in particular with actions performed by interlocutors whenever they wish to clarify their use of a symbol, a word or an expression. The aim of such actions is often to repair a communicational breach resulting from differences in the interlocutors ’ uses of words. As was found in our study, only some of the defining actions would result in texts known as mathematical definitions. The point of departure of our research project is that the effectiveness of the defining actions is as much a function of the action itself as of its contexts. Our focus in this research is thus broader than in the past studies on definitions, and includes the when and why of defining along with their how. Today, it is a common belief that learning with peers in small groups has many advantages over frontal learning, where the teacher is often the only speaker. And yet, such f...
This symposium brings together researchers from different countries, research disciplines and the... more This symposium brings together researchers from different countries, research disciplines and theoretical orientations, all of whom are engaged in the empirical study of connections between epistemologies and identities in educational settings. By comparing and contrasting their conceptions, methods and findings we seek to identify common themes and challenges, on the basis of which learning scientists might develop a more coordinated agenda for future research. Specifically, we propose to examine the timescales of processes studied, researchers' assumptions about the conceptual relations between epistemologies and identities, and the extent to which particular kinds of interaction between epistemologies and identities are local or universal.
This symposium brings together researchers interested in studying mathematical proficiency throug... more This symposium brings together researchers interested in studying mathematical proficiency through a focus on students’ dispositions toward mathematics their ideas and affect about mathematics and their patterns of engagement with it. While dispositions are useful for connecting important aspects of students’ proficiency, they are also broad and challenging to operationalize in empirical contexts. This symposium aims to promote dialogue around the meaning of dispositions as an analytic construct and to explore their relationship to other constructs relevant to helping learners become mathematical. We also aim to demonstrate that different methodological orientations allow us to see different aspects of what we all agree to call “dispositions”. We present empirical work which address two foci within research on dispositions –operationalizing in ways that enable documentation in a classroom context, and designing learning environments which foster positive dispositions to mathematics ...
Los textos que conforman este libro surgen de dos preocupaciones profesionales muy persistentes: ... more Los textos que conforman este libro surgen de dos preocupaciones profesionales muy persistentes: una de índole general y otra personal. Como muchos de mis colegas no he estado satisfecha con la investigación existente sobre aprendizaje, y como muchos otros decidí remediar el problema tratando de revisar los anteojos conceptuales existentes… El enfoque comunicacional presentado en este libro es producto de veinte años de búsqueda de la operacionalidad, combinada con intentos de hallar una ruta segura entre dos necesidades conflictivas, la necesidad de una comprensión útil, por una parte, y la necesidad de comunicabilidad y acumulabilidad, por la otra. Este marco especial, hecho a la medida de las necesidades de investigación sobre el pensamiento matemático y el aprendizaje, se ofrece en este libro como una evidencia de que comprometerse con la segunda necesidad no es el precio necesario para satisfacer la primera. Dicho esto, la tarea de construir el marco no está cerca de completars...
This paper presents a rationale and a conceptual framework for a wider research project dealing w... more This paper presents a rationale and a conceptual framework for a wider research project dealing with mathematical communication, and in particular with actions performed by interlocutors whenever they wish to clarify their use of a symbol, a word or an expression. The aim of such actions is often to repair a communicational breach resulting from differences in the interlocutors ’ uses of words. As was found in our study, only some of the defining actions would result in texts known as mathematical definitions. The point of departure of our research project is that the effectiveness of the defining actions is as much a function of the action itself as of its contexts. Our focus in this research is thus broader than in the past studies on definitions, and includes the when and why of defining along with their how. Today, it is a common belief that learning with peers in small groups has many advantages over frontal learning, where the teacher is often the only speaker. And yet, such f...
This symposium brings together researchers from different countries, research disciplines and the... more This symposium brings together researchers from different countries, research disciplines and theoretical orientations, all of whom are engaged in the empirical study of connections between epistemologies and identities in educational settings. By comparing and contrasting their conceptions, methods and findings we seek to identify common themes and challenges, on the basis of which learning scientists might develop a more coordinated agenda for future research. Specifically, we propose to examine the timescales of processes studied, researchers' assumptions about the conceptual relations between epistemologies and identities, and the extent to which particular kinds of interaction between epistemologies and identities are local or universal.
This symposium brings together researchers interested in studying mathematical proficiency throug... more This symposium brings together researchers interested in studying mathematical proficiency through a focus on students’ dispositions toward mathematics their ideas and affect about mathematics and their patterns of engagement with it. While dispositions are useful for connecting important aspects of students’ proficiency, they are also broad and challenging to operationalize in empirical contexts. This symposium aims to promote dialogue around the meaning of dispositions as an analytic construct and to explore their relationship to other constructs relevant to helping learners become mathematical. We also aim to demonstrate that different methodological orientations allow us to see different aspects of what we all agree to call “dispositions”. We present empirical work which address two foci within research on dispositions –operationalizing in ways that enable documentation in a classroom context, and designing learning environments which foster positive dispositions to mathematics ...
Los textos que conforman este libro surgen de dos preocupaciones profesionales muy persistentes: ... more Los textos que conforman este libro surgen de dos preocupaciones profesionales muy persistentes: una de índole general y otra personal. Como muchos de mis colegas no he estado satisfecha con la investigación existente sobre aprendizaje, y como muchos otros decidí remediar el problema tratando de revisar los anteojos conceptuales existentes… El enfoque comunicacional presentado en este libro es producto de veinte años de búsqueda de la operacionalidad, combinada con intentos de hallar una ruta segura entre dos necesidades conflictivas, la necesidad de una comprensión útil, por una parte, y la necesidad de comunicabilidad y acumulabilidad, por la otra. Este marco especial, hecho a la medida de las necesidades de investigación sobre el pensamiento matemático y el aprendizaje, se ofrece en este libro como una evidencia de que comprometerse con la segunda necesidad no es el precio necesario para satisfacer la primera. Dicho esto, la tarea de construir el marco no está cerca de completars...
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