• Journal of the Korean Chemical Society
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• v.56 no.6
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• pp.759-767
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• 2012

The purpose of this study was to examine the impact of Science Writing Heuristic (SWH) on multiple representations in students' writing and to survey experimental group students' recognition about the use of multiple representations. For this study, Participants of this study were 158 students in 7th grade. 94 students were assigned to the experimental group and 64 students were assigned to the comparative group. The experimental group showed significantly higher mean score than comparative group at utilizing multiple representation in summary writing. Interview analysis indicated that all students who participated in interviews, regardless of solid multi-modal competency, recognized that use of multiple representations with appropriate explanations enable to communicate science information persuasively.

• School Mathematics
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• v.18 no.2
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• pp.257-275
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• 2016

The purpose of this study was to investigate the impact of multiple representations on students' understanding of fractions, decimals, and percent. The instructional approach integrating multiple representations was compared to traditional algorithmic instruction, a form of direct instruction. To examine and compare the impact of multiple representations instruction with traditional algorithmic instruction, pre and post tests consisting of five similar items were administered with 87 middle school students. Students' scores in these two tests and their problem solving processes were analyzed quantitatively and qualitatively. The quantitative results indicated that students taught by traditional algorithmic instruction showed higher scores on the post-test than students in the multiple representations group. Furthermore, findings suggest that instruction using multiple representations does not guarantee a positive impact on students' understanding of mathematical concepts. Qualitative results suggest that the limited use of multiple representations during a class may have hindered students from applying their use in novel problem situations. Therefore, when using multiple representations, teachers should employ more diverse examples and practice with multiple representations to help students to use them without error.

• Journal of The Korean Association For Science Education
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• v.27 no.3
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• pp.190-200
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• 2007

In this study, we analyzed the uses of external representations in material units of 7th grade science textbooks developed under the 7th National Curriculum on the basis of theories and research results on learning with multiple representations. The results revealed that the frequencies of microscopic external representations were higher than those of macroscopic and symbolic external representations. The external representations with drawing and/or writing were presented more frequently than those without drawing and/or writing. Furthermore, the external representations were rarely presented on the basis of the principles (e.g., personalization principle) and/or theories (e.g., dual coding theory, cognitive load theory, and social constructivism theory) for effective uses of the external representations in learning with multiple representations. Educational implications are discussed.

• Journal of Korean Elementary Science Education
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• v.27 no.2
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• pp.158-169
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• 2008

The purpose of this study was to analyze the uses of the external representations in the $3{\sim}6th$ grade science textbooks developed under the 7th National Curriculum on the basis of the theories and the research results on learning with the multiple representations. The results showed that the frequencies of the macroscopic external representations were higher than those of the symbolic external representations. The external representations with drawing and/or writing, especially writing, were used more frequently than those without drawing and/or writing. However, the most of the external representations were rarely used according to the principles and/or the theories (e.g., personalization principle, dual coding theory, cognitive load theory, and social constructivism theory) for effective uses of the multiple external representations in the science textbooks. The present study provides the guideline to establish the effective uses of the external representations in the science textbooks that not only meet learners but also teachers.

• Bulletin of the Korean Mathematical Society
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• v.58 no.5
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• pp.1261-1278
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• 2021

Recently, a new kind of multiple zeta value of level two T(k) (which is called multiple T-value) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple T-values, and study several duality formulas of weighted sum formulas about alternating multiple T-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple T-values can also be obtained.

• Journal of The Korean Association For Science Education
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• v.40 no.1
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• pp.61-75
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• 2020

In this study, external representation presented in two units, 'Property of Gas' and 'Changes of States of Matter,' in seventh grade of 2015 revised science curriculum, were analyzed to suggest educational implications. External representations presented in five science textbooks were analyzed according to the six criteria, which were 'type of representation,' 'interpretation of surface features,' 'relatedness to text,' 'existence and properties of a caption,' 'degree of correlation between representations comprising a multiple one,' and 'function of representation.' The characteristics of typical representations related to each achievement standard of two units were also analyzed. The results were as follows: The macro representations for 'type of representation', and explicit representations for 'interpretation of surface features' showed highest frequency. For 'relatedness to text' criteria, 'completely related and linked' and 'completely related and unlinked' representations showed the highest frequency. It means that most representations were properly related with the text. There were appropriate captions for most representations. The degree of correlation between representations comprising a multiple one was largely sufficiently linked with regards to the criteria 'degree of correlation between representations comprising a multiple one'. The complete representations for 'function of representation' showed the highest frequency in the aggregate, however incomplete representations showed more frequencies in the inquiry parts. The typical representations for each achievement standard differed in terms of the type, contained information, used symbols and so on. The educational implications with the use of representations presented in seventh grade textbook were discussed.

• Research in Mathematical Education
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• v.18 no.1
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• pp.31-40
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• 2014

Working with dynamic visual representations can help students-with-computer discover new mathematical ideas. Students translate among multiple representations as a strategy to investigate non-routine problems to explore possible solutions in mathematics classrooms. In this paper, we use the area models as new representations for our secondary students to investigate three problems related to the average speed of a particle. Students show their ideas in the process of investigating arithmetic mean, harmonic mean, and average speed through their created dynamic figures. These figures really utilize dynamic geometry software.

• Journal of the Korean Chemical Society
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• v.52 no.5
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• pp.550-560
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• 2008

• Journal of the Korean Chemical Society
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• v.50 no.6
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• pp.477-485
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• 2006

study investigated the influences of the forms of verbal external representations and students' verbal learning style in learning chemical concepts with drawing as a method to assist students in connecting and integrating multiple external representations. Seventh graders (N=133) at a coed middle school were assigned to formal drawing (FD) and personalized drawing (PD) groups. Students in the PD group were provided words at personalized style as verbal external representations for drawing, while those in the FD group were provided words at formal style. All students were taught about Boyles Law and Charless Law for two class hours. Results revealed that the scores of a conception test for the PD group were significantly higher than those for the FD group. In a situational interest test, students with strong verbal learning style preference scored significantly higher than students with weak verbal learning style preference in the two groups. Most PD group students were found to prefer to read verbal external representations at personalized style for drawing rather than at formal style, and perceived their activities positively upon cognitive, affective and motivational aspects. Students with strong verbal learning style preference had more positive perceptions about their activities than students with weak verbal learning style preference especially upon affective and motivational aspects.

• Journal of Korean Elementary Science Education
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• v.41 no.2
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• pp.418-431
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• 2022

In this study, we analyzed the form, presentation, and interactivity of external representations presented in the matter units of elementary school science digital textbooks developed under the 2015 Revised National Curriculum. The analytic framework of the previous study was modified and supplemented. The matter units in the 3rd-6th grade science digital textbooks were analyzed by dividing them into "body texts" and "inquiries" area. The results revealed that visual-verbal and visual-nonverbal representations were presented the most. Conversely, audial-nonverbal representations were presented at a high frequency only in the body texts, and audial-verbal representations were presented at a low frequency in both the body texts and the inquiries. Regarding the presentation, when verbal and visual-nonverbal representations appeared together, visual-verbal and visual-nonverbal representations were primarily presented together. In some cases where visual-verbal, audial-verbal, and visual-nonverbal representations were presented together, information on visual-verbal and audial-verbal representations was presented redundantly. Audial-nonverbal representations unrelated to contents were presented along with other external representations, and the frequency was particularly high in the body texts. Regarding the contiguity, no visual-verbal and visual-nonverbal representations were presented on different pages, and no audial-verbal representations were presented asynchronously with visual-nonverbal representations. Regarding the interactivity, explanatory feedback and low-level manipulations were mainly presented. Based on the results, implications to improve digital textbooks are discussed from the perspective of multiple representation-based learning.