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Direct linkMcMullen, Jake; Hannula-Sormunen, Minna M.; Lehtinen, Erno; Siegler, Robert S. – British Journal of Educational Psychology, 2022
Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…
Descriptors: Elementary School Students, Middle School Students, Grade 6, Grade 7
Tabacu, Lucia M.; Watson, Silvana Maria; Chezar, Laura C.; Gable, Robert; Oliveira, Célia R.; Lopes, João – Preventing School Failure, 2020
We examined the type of errors on multiplication and division computation problems of 326 rising fifth graders enrolled in four elementary schools in Northern Portugal. We further examined whether there was a difference in the number of errors across age and whether there was an association between students' performance on number knowledge and…
Descriptors: Error Patterns, Misconceptions, Mathematics Achievement, Mathematics Instruction
Milton, Jessica H.; Flores, Margaret M.; Moore, Alexcia J.; Taylor, Ja'Lia J.; Burton, Megan E. – Learning Disability Quarterly, 2019
To meet increasingly complex mathematics standards in late elementary school, students must conceptually understand and be fluent in the operations of multiplication and division. This includes understanding the operations' inverse relation. The purpose of the study was to investigate the effects of alternating concrete-representational-abstract…
Descriptors: Multiplication, Arithmetic, Mathematics Instruction, Elementary School Mathematics
Finesilver, Carla – Oxford Review of Education, 2017
There are many potential ways to represent arithmetical tasks, but students' choices may be limited by beliefs that only certain standardised representations are "legitimate" in school mathematics. Furthermore, concern for the quantity and speed of "work done" can override opportunities for meaningful engagement with the…
Descriptors: Low Achievement, Arithmetic, Mathematics Achievement, Logical Thinking
Download full textDownton, Ann; Wright, Vince – Mathematics Education Research Group of Australasia, 2016
This study explored the potential of a rich assessment task to reveal students' multiplicative thinking in respect to a hypothetical learning trajectory. Thirty pairs of students in grades 5 and 6 attempted the task. Twenty-two pairs applied multiplicative structure to find the number of items in arrays. However counting and computational errors…
Descriptors: Multiplication, Task Analysis, Grade 5, Grade 6
Holm, Jennifer, Ed.; Mathieu-Soucy, Sarah, Ed. – Canadian Mathematics Education Study Group, 2020
The 43rd meeting of Canadian Mathematics Education Study Group (CMESG) was held at St. Francis Xavier University in Antigonish, Nova Scotia (May 31-June 4, 2019). This meeting marked only the third time CMESG/GCEDM (Groupe Canadien d'Étude en Didactique des Mathématiques) had been held in Nova Scotia (1996, 2003), and the first time it had been…
Descriptors: Mathematics Education, Problem Based Learning, Teaching Methods, Postsecondary Education
Huang, Amy I-Yu – ProQuest LLC, 2013
This study reports findings from a teaching experiment in which 4th grade children engaged in solving multiplication tasks with rectangular arrays in a computer environment. The environment provided flexible task-solving through dynamic virtual manipulatives (VMs) so children could use their existing knowledge of multiplication to complete array…
Descriptors: Grade 4, Multiplication, Problem Solving, Elementary School Mathematics
Gervasoni, Ann; Parish, Linda; Hadden, Teresa; Livesey, Carole; Bevan, Kate; Croswell, Melissa; Turkenburg, Kathie – Mathematics Education Research Group of Australasia, 2012
The "Extending Mathematical Understanding" (EMU) Program is a specialised mathematics program that aims to accelerate the learning of Grade 1 students who struggle with learning school mathematics. Forty-two students participated in an EMU Program in 2010 as part of the "Bridging the Numeracy Gap" (BTNG) project. Analysis of…
Descriptors: Elementary School Students, Mathematics Instruction, Learning Problems, Knowledge Level
Peer reviewedLilly, Gwynfa – Mathematics in School, 1989
Describes how five-year-old children responded to the investigation of looking for patterns in a multiplication square. Provides a 10 x 10 multiplication square for the investigation. (YP)
Descriptors: Computation, Foreign Countries, Mathematical Applications, Mathematical Logic
Peer reviewedErenberg, Shana R. – Learning Disabilities: A Multidisciplinary Journal, 1995
Fourth-grade students (n=45) either with or without learning disabilities and achieving or not achieving at grade level in math were asked to explain strategies used to solve computational problems. Strategies were classified as reproductive or reconstructive (which varied in applicability and efficiency). Significant group differences were found.…
Descriptors: Cognitive Processes, Computation, Intermediate Grades, Learning Disabilities
Flores, Margaret M.; Houchins, David E.; Shippen, Margaret E. – International Journal of Special Education, 2006
The purpose of this series of case studies was to compare the impact of Constant Time Delay and Strategic Instruction on the maintenance and generalization of learning. Four middle school students with learning disabilities were effectively taught two different groups of multiplication facts using Constant Time Delay and Strategic instruction. The…
Descriptors: Learning Disabilities, Generalization, Multiplication, Teaching Methods
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1986
This issue of the journal contains abstracts and critical comments for ten published reports of research in mathematics education. The reports concern teaching probability and estimation of measurements through microcomputer games, mental addition, use of calculators at the intermediate level, logical reasoning hierarchies, two approaches to the…
Descriptors: Calculators, Cognitive Processes, Educational Games, Educational Research
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
