
05258868
a
2008b.00158
Siemon, Dianne
Izard, John
Breed, Margarita
Virgona, Jo
The derivation of a learning assessment framework for multiplicative thinking.
Novotn\'a, Jarmila (ed.) et al., Mathematics in the centre. Proceedings of the 30th annual conference of the International Group for the Psychology of Mathematics Education, PME, Prague, Czech Republic, July 1621, 2006. Vol. 15. Prague: Charles University, Faculty of Education. Part 5, 113120 (2006).
2006
Prague: Charles University, Faculty of Education
EN
C73
D73
F43
H23
numeracy
multiplicative thinking
rational numbers
elementary algebra
multiplication
division
lower secondary
learning and assessment framework
educational research
Summary: Research has shown that many students in Years 5 to 9 experience considerable difficulty with rational number, algebra, and the application of multiplication and division to a broader range of problem types. While each of these has been the focus of considerable research, there is little advice about how these ideas are connected and jointly develop over time. This paper describes the genesis of a learning assessment framework for multiplicative thinking based on Rasch analysis of student responses to a range of rich tasks to inform more targeted approaches to teaching mathematics in the middle years.