[PDF][PDF] Invented strategies for division of fractions

C Kribs-Zaleta - Proceedings of the 28th Annual Meeting of the North …, 2006 - Citeseer
A study of computational strategies developed by sixth-grade students and prospective and
practicing teachers identified two-step approaches for measurement and partitive division of …

[PDF][PDF] Making connections between multiplication and division

A Downton - Mathematics Education: Yesterday …, 2013 - acuresearchbank.acu.edu.au
Method This paper draws on o ne of the findings of a larger study of young children's
development of multiplicative thinNing. The study involved Grade 3 students (aged eight and …

From naive interpretist to operation conserver

G Harel - Providing a foundation for teaching mathematics in the …, 1995 - books.google.com
An interesting phenomenon has been observed in research on the concepts of multiplication
and division: Many children, and even adults, do not understand that problems that share …

Intuitive and formal models of whole number multiplication: Relations and emerging structures

A Maffia, MA Mariotti - For the Learning of Mathematics, 2018 - JSTOR
Multiplication can be presented to students through different models, each one with its pros
and cons. In this contribution we focus on the repeated sum and the array model to …

Children's developing multiplication and division strategies

M Mitchelmore, J Mulligan - Proceedings of the 20th annual …, 1996 - researchers.mq.edu.au
Abstract 60 female students were observed 4 times during Grades 2 and 3 as they solved
the same set of 24 multiplication and division word problems. From the correct responses …

[PDF][PDF] Mathematics education for low-achieving students: Effects of different instructional principles on multiplication learning

EH Kroesbergen - 2002 - core.ac.uk
This thesis is concerned with mathematics instruction for students having difficulties with the
learning of mathematics in general and multiplication in particular. The focus lies on the kind …

Progressive mathematization of long division strategies in Dutch primary schools

CM van Putten, PA Van den Brom-Snijders… - Journal for Research …, 2005 - pubs.nctm.org
Students' strategies for solving long division problems under a realistic mathematics
approach (RME) at Dutch primary schools were categorized in two ways:(a) according to the …

[PDF][PDF] 3rd year pupils' procedures to solve multiplication tasks

F Mendes, J Brocardo, H Oliveira - 12th International Congress on …, 2012 - comum.rcaap.pt
This paper reports on the analysis of the procedures used by third grade pupils who
participated in a teaching experiment focused on multiplication. The design and …

Choice of operation in verbal arithmetic problems: The effects of number size, problem structure and context

A Bell, E Fischbein, B Greer - Educational studies in Mathematics, 1984 - Springer
and 13-year-olds were tested with two types of tasks to test their understanding of
applications of the multiplication and division of positive numbers:(i) writing down …

Solution strategies and achievement in Dutch complex arithmetic: Latent variable modeling of change

M Hickendorff, WJ Heiser, CM Van Putten, ND Verhelst - Psychometrika, 2009 - Springer
In the Netherlands, national assessments at the end of primary school (Grade 6) show a
decline of achievement on problems of complex or written arithmetic over the last two …