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Megan Rojo; Sarah G. King; Jenna Gersib; Christian T. Doabler – Learning Disability Quarterly, 2025
Competence with rational numbers is essential for mathematics proficiency in secondary mathematics. However, many students struggle with rational number concepts, and students with mathematics difficulties struggle even more. The purpose of this study was to examine the effects of an intervention that incorporated the use of explicit instruction…
Descriptors: Mathematics Instruction, Intervention, Direct Instruction, Models
Copping, Kate – Mathematics Education Research Group of Australasia, 2021
The development of mathematical reasoning is a key proficiency for mathematics within the Australian Curriculum. However, reasoning can be difficult for teachers to assess, particularly with pen and paper tests. In this study, interview tasks were designed across three curriculum areas at three different levels to assess student reasoning through…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematical Logic, Elementary School Students
Baroody, Arthur J.; Brach, Catherine; Tai, Yu-chi – Cognition and Instruction, 2006
A schema based view of addition development is compared with Siegler's latest strategy-choice model, which includes an addition goal sketch (a basic understanding of "the goals and causal relations" of addition; Siegler & Crowley, 1994, p. 196). This metacognitive component in the latter model is presumed to develop as a child practices a basic…
Descriptors: Arithmetic, Mathematics Instruction, Models, Cognitive Development
Saenz-Ludlow, Adalira – Journal for Research in Mathematics Education, 2004
Fourth-grade students who participated in a yearlong, whole-class teaching experiment not only reconceptualized natural numbers but also generated flexible solution strategies to perform numerical computations mentally and in writing. Students' reconceptualization of number was mediated by their perceived resemblance between the physical action of…
Descriptors: Figurative Language, Semiotics, Computer Uses in Education, Concept Formation
SUPPES, PATRICK; AND OTHERS – 1966
A LEARNING MODEL TO IDENTIFY FACTORS CONTRIBUTING TO THE DIFFICULTY OF A PROBLEM ITEM WAS SUPPORTED EMPIRICALLY, AND INDICATED THAT THE NUMBER OF STEPS REQUIRED TO SOLVE A PROBLEM WAS THE MOST IMPORTANT VARIABLE IN PREDICTING BOTH ERROR PROBABILITY AND RESPONSE LATENCY. THE MODEL, IN ORDER TO ESTABLISH DIFFERENTIAL PREDICTIONS OF DIFFICULTY IN…
Descriptors: Arithmetic, Cognitive Processes, Computer Assisted Instruction, Concept Formation
Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the fourth volume of the proceedings of the 28th annual conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Inclusion and Diversity". This volume features 64 research report papers: (1) Situated or Abstract: The Effect of…
Descriptors: Foreign Countries, Equations (Mathematics), Teaching Methods, Misconceptions
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education