To know or not to know – mathematics, that is a question of context

As one of the so-called basic skills, 'mathematics' or 'numeracy' is at the top of the list of subjects in adult education programmes. Together with political investment in general and further education, practitioners and theoreticians focus on 'knowing and learning in different contexts'. Jean Lave's theory about 'situated learning' may be regarded as a confrontation with the idea of learning as acquisition of propositional knowledge. One characteristic of adult education in mathematics is that the participants bring with them adult life experience from their everyday and work. Another characteristic is their perspective in educating themselves. There is an apparent contradiction between many adults being blocked in relation to mathematics in formal settings and being competent in their everyday life. It is possible to make sense of this contradiction by analytically expanding the context for knowing and learning mathematics from the participants' experiences and perspectives to also include the adults' dispositions, cf. Pierre Bourdieu's concept of 'habitus' as a guiding principle for practice. By interpreting the account of her life by a 75 year old woman concerning her attitudes to mathematics, the author illustrates and discusses the two analytical concepts ('situated learning' and 'habitus') and their suitability for analysing adults knowing or not-knowing mathematics in different situation contexts.

[1]  H. Freudenthal,et al.  Revisiting mathematics education , 1992, The Mathematical Gazette.

[2]  J. Lave Cognition in Practice: Outdoors: a social anthropology of cognition in practice , 1988 .

[3]  Pierre Bourdieu,et al.  Outline of a Theory of Practice , 2020, On Violence.

[4]  Christine Keitel Mathematics Education and Technology. , 1989 .

[5]  J. Lave Understanding practice: The practice of learning , 1993 .

[6]  J. Becker,et al.  Fear of the Unknowns@@@Do You Panic about Maths? Coping with Maths Anxiety , 1983 .

[7]  J. Lave Teaching, as Learning, in Practice , 1996 .

[8]  P. Bourdieu La distinctíon: Critique sociale du jugement , 1980 .

[9]  Jan Wyndhamn,et al.  Understanding practice: Solving everyday problems in the formal setting: An empirical study of the school as context for thought , 1993 .

[10]  Pierre Bourdieu,et al.  La reproduction : Elements pour une théorie du système d'enseignement , 1972 .

[11]  Iris M. Carl Prospects for school mathematics : seventy-five years of progress , 1995 .

[12]  Etienne Wenger,et al.  Situated Learning: Legitimate Peripheral Participation , 1991 .

[13]  From failure to success: Changing the experience of adult learners of mathematics , 1987 .

[14]  Hans Freudenthal,et al.  Revisiting mathematics education : China lectures , 1991 .

[15]  David W. Carraher,et al.  Street mathematics and school mathematics , 1993 .

[16]  P. Bourdieu Le sens pratique , 1976 .

[17]  Stieg Mellin-Olsen The politics of mathematics education , 1987 .

[18]  P. Bourdieu L'illusion biographique , 1986 .

[19]  Gail E. FitzSimons,et al.  Adults and Mathematics (Adult Numeracy) , 1996 .

[20]  Analúcia D. Schliemann,et al.  Mathematical Knowledge Developed at Work: The Contribution of Practice Versus the Contribution of Schooling , 1989 .

[21]  Celia Hoyles,et al.  The visibility of meanings: Modelling the mathematics of banking , 1996, Int. J. Comput. Math. Learn..

[22]  R. Zevenbergen,et al.  Further Mathematics Education , 1996 .

[23]  B. Lang,et al.  Do You Panic about Maths , 1981 .

[24]  B. Christiansen,et al.  Task and Activity , 1986 .