• School Mathematics
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• v.16 no.4
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• pp.659-675
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• 2014

The purpose of this study is to investigate the effects of scheme based strategy Instruction on problem solving of word problems of ratio and proportion for students with under achievement or at risk for learning disabilities. Three $7^{th}$ graders of underachieving or at risk LD were participated in this study. Three steps of instructional experiment-testing baseline, intervention with schematic-based strategy, testing for the abilities of problem solving, generalization, & sustainability. The results showed that the schema-based strategy, FOPS was effective method for all three students enhancing problem solving abilities and for generalizing and sustaining the problem solving.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.683-700
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• 2016

The traditional teaching-learning in mathematics, which pursue only one correct answer, should be reexamined to cope with an age of uncertainty. In this research, Perry's epistemological development scheme was noticed as a theoretical approach to diagnose problems of dualistic mathematics lessons and to search solutions of the problems. And Design-Based Research method was adopted, We developed the epistemological development scheme through considering Perry's theory and related studies, scaffoldings and teaching-learning to enhance students' epistemological positions in mathematics. Based on these discussions we designed teaching experiment about operations with negative numbers, and analyzed its didactic implications.

• School Mathematics
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• v.11 no.3
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• pp.497-511
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• 2009

This study compared two problem solving instructional approaches, schema based sequence instruction and schema based parallel instruction on word problem solving performance of elementary school students who were in general students group. The subjects totaled 48 third grade students who were exposed to a test that consisted of 9 word problem items of three types for 4 sessions. First of all, the baseline of word problem performance level was measured without any training. During session 1, 2 and 3 participants were put into strategic training groups. The experiment was designed by two between factor(two intervention group and two within factors(two problem types, three sessions). The results of experiment were as follows. Schema based sequence instruction group performed significantly better than students in another group on word problem solving performance. The effect of strategic schema based Instruction revealed that solving word problems relied upon problem types, sessions and input orders which were of great value.

• School Mathematics
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• v.19 no.4
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• pp.775-793
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• 2017

In this study, instruments were developed to measure of mathematics attitudes by conceptualization of epistemological beliefs as a cognitive dimension, mindfulness as a conative dimension, affect as an affective dimension. Perry's epistemological development scheme and Langer's mindfulness theory was noticed as a theoretical approach. Exploratory factor and confirmatory factor analyses, and a reliability test were assessed. This article suggest a new framework for analysing attitudes toward mathematics and changes in attitudes toward mathematics.

• Education of Primary School Mathematics
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• v.26 no.1
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• pp.29-43
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• 2023

The purpose of this study was to synthesize intervention studies, which utilized single case experimental design, on teaching mathematical word problems for elementary school students with disabilities and evaluate each of their methodological rigor. The researchers reviewed all studies from 2000 to 2022 that involved teaching mathematical word problems to individuals with disabilities. A total of 12 studies was included for a final analysis. Most of the interventions were delivered by researchers for about 30-40 minutes per session to elementary school students with disabilities. Schema-based instruction, cognitive-metacognitive strategy, and technology-based instruction were used as intervention methods, and explicit instruction was mostly used in conjunction with them. On the other hand, the researchers found that none of research articles met quality indicators for single case experimental design according to Cook et al. (2015). Limitation and directions for future research were also discussed.

• Journal of The Korean Association For Science Education
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• v.36 no.4
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• pp.551-561
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• 2016

The purpose of this study is to investigate both theoretically and empirically the roles of models in abductive reasoning for scientific problem solving. The context of the study is design-based research the goal of which is to develop inquiry learning programs in the domain of earth science, and the current article dealt with an early process of redesigning an abductive inquiry activity in geology. In the theoretical study, an extensive review was conducted with the literature addressing abduction and modeling together as research methods characterizing earth science. The result led to a tentative scheme for modeling-based abductive inference, which represented relationships among evidence, resource models, and explanatory models. This scheme was improved by the empirical study in which experts' reasoning for solving a geological problem was analyzed. The new scheme included the roles of critical evidence, critical resource models, and a scientifically sound explanatory model. Pedagogical implications for the support of student reasoning in modeling-based abductive inquiry in earth science was discussed.