We present a replication study of one of the most renowned seminal works in the field of
mathematics education, ie, the Fischbein et al.(1985) study on implicit models of …

Arithmetical operations were assumed to remain attached to primitive behavioral models
that influence tacitly the choice of an operation even after the learner has had solid formal …

There is substantial empirical evidence showing the impact of the type of numbers in the
solution of problems with a multiplicative structure. The theory of the intuitive models of …

An earlier study analysed responses by 70 young children to a variety of multiplication and
division word problems at four interview stages in a 2-year longitudinal study (Mulligan …

In this chapter, the authors first try to learn from the additive case, and they then move to an
analysis of multiplicative situations with the intention of discovering the basic multiplicative …

Children's solution strategies to a variety of multiplication and division word problems were
analysed at four interview stages in a 2-year longitudinal study. The study followed 70 …

Fischbein, Deri, Nello, and Marino (1985) argue that students' conceptions of and
performance on multiplication and division application word problems (hereafter …

A robust finding of past research is that the number types involved in a problem statement
strongly affect the solution process and the difficulty level of problems with a multiplicative …

Abstract 60 female students were observed four times during Grades 2 and 3 as they solved
the same set of 24 multiplication and division problems with a wide variety of semantic …

Interviews with 72 pupils in grade 2–6 were used to investigate awareness of the relation
between situation and computation in simple quotitive and partitive division problems as …