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Download full textWilson, Kirsty; Ainley, Janet; Bills, Liz – International Group for the Psychology of Mathematics Education, 2005
We report on one aspect of a longitudinal study which seeks insight into the ways in which spreadsheet experience and teachers' pedagogic strategies shape pupils' construction of meaning for algebra. Using data from stimulated recall interviews we analyse the evolution of meaning for variable through the mediation of the variable cell and the…
Descriptors: Recall (Psychology), Academic Achievement, Spreadsheets, Longitudinal Studies
Monteiro, Carlos; Ainley, Janet – International Group for the Psychology of Mathematics Education, 2004
This paper reports on a study that investigated the interpretation of media graphs developed by student teachers. The analyses of interviews indicate that cognitive, affective and contextual, aspects might constitute important components of the interpretation of graph such as those that we can find in print media. Particularly we discuss Critical…
Descriptors: Student Teachers, Graphs, Cognitive Processes, Mathematics Instruction
Ainley, Janet; Bills, Liz; Wilson, Kirsty – International Group for the Psychology of Mathematics Education, 2004
The Purposeful Algebraic Activity project aims to explore the potential of spreadsheets in the introduction to algebra and algebraic thinking. We discuss two sub-themes within the project: tracing the development of pupils' construction of meaning for variable from arithmetic-based activity, through use of spreadsheets, and into formal algebra,…
Descriptors: Spreadsheets, Algebra, Mathematical Concepts, Mathematics Instruction
Wilson, Kirsty; Ainley, Janet; Bills, Liz – International Group for the Psychology of Mathematics Education, 2004
The Purposeful Algebraic Activity Project is a longitudinal study of the development of pupils' algebraic activity in the early years of their secondary schooling. Analysis of data from a spreadsheet-based teaching programme and from semi-structured interviews leads us to identify three features of the spreadsheet environment that appear to shape…
Descriptors: Student Attitudes, Algebra, Secondary School Mathematics, Mathematics Skills
Bills, Liz; Ainley, Janet; Wilson, Kirsty – International Group for the Psychology of Mathematics Education, 2003
The teaching and learning of early algebra draw heavily on arithmetic and the relationship between these two forms of activity is much debated. Drawing on interviews with 12 year old pupils we consider the ways in which some pupils used substitution of numbers for letters to extend their ability to manipulate algebraic expressions. We argue that…
Descriptors: Teaching Methods, Secondary School Students, Algebra, Symbols (Mathematics)
Wilson, Kirsty; Ainley, Janet; Bills, Liz – International Group for the Psychology of Mathematics Education, 2003
The Purposeful Algebraic Activity Project is a longitudinal study of the development of pupils' algebraic activity in the early years of their secondary schooling. Here, we report on our empirical findings from the initial semi-structured interviews. We analyse the responses of three pairs of 12-year-old pupils to a range of algebra questions. In…
Descriptors: Mathematical Concepts, Interviews, Algebra, Competence
