An empirical test of the impact of primitive intuitive models of operations on solving word problems with a multiplicative structure

E De Corte, L Verschaffel - Learning and Instruction, 1996 - Elsevier
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 …

The impact of the number type on the solution of multiplication and division problems: Further considerations

G Harel, M Behr, T Post, R Lesh - The development of …, 1994 - books.google.com
Fischbein, Deri, Nello, and Marino (1985) argue that students' conceptions of and
performance on multiplication and division application word problems (hereafter …

Multiplicative Word Problems and Intensive Quantities: An Integrated Software Response. Technical Report 85-19.

JJ Kaput - 1985 - ERIC
This document reports on a project that is examining some of the difficulties encountered in
teaching word problems involving multiplication, division, and intensive quantities. Some of …

The role of implicit models in solving verbal problems in multiplication and division

E Fischbein, M Deri, MS Nello… - Journal for research in …, 1985 - pubs.nctm.org
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 …

Understanding multiplicative contexts involving fractions.

PT Hardiman, JP Mestre - Journal of educational Psychology, 1989 - psycnet.apa.org
Numerous studies indicate that performance in solving single-step multiplicative word
problems is influenced by both problem structure and the types of numbers involved in the …

Young children's intuitive models of multiplication and division

JT Mulligan, MC Mitchelmore - Journal for research in Mathematics …, 1997 - pubs.nctm.org
In this study, an intuitive model was defined as an internal mental structure corresponding to
a class of calculation strategies. A sample of female students was observed 4 times during …

Extraneous information and extra steps in arithmetic word problems

KD Muth - Contemporary educational psychology, 1992 - Elsevier
To determine how middle school students cope with some of the demands imposed on them
by arithmetic word problems, 140 eighth graders were asked to solve word problems …

Investigating Integer Addition and Subtraction: A Task Analysis.

L Bofferding, SE Richardson - North American Chapter of the International …, 2013 - ERIC
Fifteen elementary and secondary teacher candidates solved sixteen integer addition and
subtraction problems during think-aloud interviews. Investigators further probed participants' …

Some tests of an identical elements model of basic arithmetic skills.

TC Rickard, LE Bourne Jr - Journal of Experimental Psychology …, 1996 - psycnet.apa.org
Two experiments tested an identical elements model of the organization of basic arithmetic
skills (TC Rickard, AF Healy, & LE Bourne, 1994). This model assumes a distinct abstract …

From fractions to proportional reasoning: a cognitive schemes of operation approach

WK Nabors - The Journal of Mathematical Behavior, 2003 - Elsevier
Four seventh grade students participated in a constructivist teaching experiment in which
manipulatives within a computer microworld were used to solve fractional reasoning tasks …