
05824047
a
2011b.00296
Lengnink, Katja
Leufer, Nikola
Perspectives on mathematical practice from an educational point of view.
L\"owe, Benedikt (ed.) et al., PhiMSAMP. Philosophy of Mathematics: Sociological aspects and mathematical practice. Including selected papers of the 3rd PhiMSAMP conference `Is mathematics special?', Vienna, Austria, 2008. London: College Publications (ISBN 9781904987956/pbk). Texts in Philosophy 11, 209233 (2010).
2010
London: College Publications
EN
D22
F22
F42
C32
research in mathematics education
negative numbers
extension of the number domain
thinking processes
primary school children
The authors give a rough idea of the variety of research questions and approaches of German mathematics education. For example, they analyze 13 highperforming fourth graders' ideas concerning negative numerals, focusing on the differences and semantic variances between intuitive and mathematically intended concepts. The children's journal entries give examples of how the thinking processes of learners can contribute to clarifying the philosophical problems arising with the extension of the number range. He journal entries are presented in the original German with English translations.
Steven C. Althoen (Holly)