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Article
The pupil's view of mathematics learning
This article reports an exploratory study which set out to examine how 14-year-old pupils perceive good and bad learning experiences in school. In particular, it describes the significant features in learning ...
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Article
What is the point of group discussion in mathematics?
This paper sets out the implications of using pupil-pupil discussion within mathematics classrooms and describes the different ways that such discussion might promote mathematical understanding. It distinguish...
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Article
What is the point of group discussion in mathematics?
This paper sets out the implications of using pupil-pupil discussion within mathematics classrooms and describes the different ways that such discussion might promote mathematical understanding. It distinguish...
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Article
Scaling a Mountain — A study of the use, discrimination and generalisation of some mathematical concepts in a LOGO environment
The paper will describe pupils’ engagement in mathematical activity, in collaboration with a partner, in an exploratory LOGO programming environment. It will focus on how initial pupil conceptions become progr...
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Article
The computer as a mediating influence in the development of pupils’ understanding of variable
Within a Logo environment, pupils routinely use the notion of variable. However, the process by which they come to develop understandings is more problematic. In this paper we describe a series of situations i...
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Chapter
Develo** Mathematical Knowledge Through Microworlds
This chapter sets out to examine some aspects, both positive and negative, of the role of the computer in the learning of mathematics. The computer is not a unitary object. Its effects depend on the user inter...
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Article
A pedagogy for mathematical microworlds
In this paper we attempt to map out some relationships between pedagogy and student behaviour in a mathematical microworld. We illustrate our analysis by a series of episodes which occurred in a Logo-based mic...
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Chapter and Conference Paper
Microworlds/Schoolworlds: The Transformation of an Innovation
This chapter is about microworlds - about computational worlds where mathematical ideas are expressed and developed. It will seek to show how the very essence of these worlds is moulded and shaped by the disco...
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Chapter and Conference Paper
Deconstructing Microworlds
This paper clarifies the meaning of “microworld” and shows how several microworlds are important environments in hel** students learn mathematics (including notions of ratio and proportion). The proposed fra...
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Book and Conference Proceedings
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Chapter and Conference Paper
Computers and Exploratory Learning: Setting the Scene
Exploratory learning names a family of approaches to education that share principles like the following:
• Learners can take substantial control of their own learning. We s...
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Chapter and Conference Paper
Thematic Chapter: Exploratory Software, Exploratory Cultures?
This paper maps out and attempts to explain the common pattern of reaction to exploratory computer-based learning environments. From the point of view of the student and student-software interaction, five comm...
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Article
Stieg Mellin-Olsen
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Book
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Article
Software criticism
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Chapter
Visions of the Mathematical
Mathematics: the science of space and number, the study of pattern and structure, the queen of sciences. To think mathematically affords a powerful means to understand and control one’s social and physical rea...
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Chapter
Tools and Technologies
It has become part of accepted educational wisdom that the computer by itself cannot fundamentally change either what is learned or how, and that issues of learning and teaching are dependent on more than the ...
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Chapter
Webs and Situated Abstractions
In Chapter 2 we laid the foundation stones of our work and saw the problematisation of dichotomies such as formal/informal, concrete/abstract, contextualised/decontextualised as our primary challenge. We quest...
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Chapter
Cultures and Change
There is a substantial literature which has explored educational innovation and change from political and cultural perspectives (see, for example, House, 1974; Rudduck, 1991). It indicates clearly that even wh...
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Chapter
A Window on Schools
In the previous chapter, we tried to develop a picture of the teachers’ view of change, by synthesising cognitive and cultural perspectives through the construction of our caricatures. We are aware that our an...