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Direct linkDay, Lorraine; Hurrell, Derek – Australian Primary Mathematics Classroom, 2015
Lorraine Day and Derek Hurrell provide a convincing argument for using arrays to promote students' understandings of mental computation strategies for multiplication. They also provide a range of different examples that illustrate the benefits of arrays in the primary classroom.
Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts, Computation
Download full textJazby, Dan; Pearn, Cath – Mathematics Education Research Group of Australasia, 2015
When viewed through a lens of embedded cognition, algorithms may enable aspects of the cognitive work of multi-digit multiplication to be "offloaded" to the environmental structure created by an algorithm. This study analyses four multiplication algorithms by viewing different algorithms as enabling cognitive work to be distributed…
Descriptors: Multiplication, Mathematics Activities, Mathematics Instruction, Cognitive Processes
Shanty, Nenden Octavarulia; Hartono, Yusuf; Putri, Ratu Ilma Indra; de Haan, Dede – Indonesian Mathematical Society Journal on Mathematics Education, 2011
This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…
Descriptors: Foreign Countries, Grade 5, Elementary School Mathematics, Multiplication
van Galen, Mirte S.; Reitsma, Pieter – Cognition and Instruction, 2011
Predictions of the Identical Elements (IE) model of arithmetic fact representation (Rickard, 2005; Rickard & Bourne, 1996) about transfer between arithmetic facts were tested in primary school children. The aim of the study was to test whether the IE model, constructed to explain adult performance, also applies to children. The IE model…
Descriptors: Transfer of Training, Multiplication, Recall (Psychology), Arithmetic
Oesterle, Susan, Ed.; Allan, Darien, Ed. – Canadian Mathematics Education Study Group, 2014
This submission contains the Proceedings of the 2013 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Brock University in St. Catharines, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…
Descriptors: Foreign Countries, Conferences (Gatherings), Mathematics Education, Creativity
Kelderman, Henk – 1986
A method is proposed for the detection of item bias with respect to observed or unobserved subgroups. The method uses quasi-loglinear models for the incomplete subgroup x test score x item 1 x ... x item k contingency table. If the subgroup membership is unknown, the models are the incomplete-latent-class models of S. J. Haberman (1979). The…
Descriptors: Foreign Countries, Higher Education, Latent Trait Theory, Mathematical Models
Kelderman, Henk; Macready, George B. – 1988
The use of loglinear latent class models to detect item bias was studied. Purposes of the study were to: (1) develop procedures for use in assessing item bias when the grouping variable with respect to which bias occurs is not observed; (2) develop bias detection procedures that relate to a conceptually different assessed trait--a categorical…
Descriptors: Foreign Countries, Higher Education, Latent Trait Theory, Mathematical Models
Quigley, Martyn, Ed. – 1991
These conference proceedings include two invited lectures, three working group reports, three topic group reports, two Ad Hoc group reports, a round table report, a list of participants, and a list of previous proceedings. The invited lectures were: "Values in Mathematics Education" (Ubiratan D'Ambrosio) and "Remarks on…
Descriptors: Aesthetic Values, Benchmarking, Calculus, Cognitive Processes
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…
Descriptors: Preservice Teacher Education, Preservice Teachers, Mathematics Education, Validity
