• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.153-171
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• 2013

The purpose of this study is to investigate characteristics of students' problem solving processes based on their mathematical thinking styles and thus to provide implications for teachers regarding how to employ multiple representations. In order to analyze these characteristics, 202 university freshmen were recruited for a paper-and-pencil survey. The participants were divided into four groups on a mathematical-thinking-style basis. There were two students in each group with a total of eight students being interviewed. Results show that mathematical thinking styles are related to defining a mathematical concept, problem solving in relation to representation, and translating between mathematical representations. These results imply methods of utilizing multiple representations in learning and teaching mathematics by embodying Dienes' perceptual variability principle.

• The Mathematical Education
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• v.46 no.1 s.116
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• pp.123-134
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• 2007

In the article, representations useful in mathematics education are introduced and show how they are related in the context of mathematics education. They are classified in three categories: representations in mind, representations for understanding and problem solving, and mathematical representations.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.535-563
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• 2012

This study was conducted to confirm the necessity of analogical thinking and to empirically verify the effectiveness of analogical reasoning through the visual representation by analyzing the factors of problem solving depending on analogical conditions. Four conditions (a visual representation mapping condition, a conceptual mapping condition, a retrieval hint condition and no hint condition) were set up for the above purpose and 80 twelfth-grade students from C high-School in Cheong-Ju, Chung-Buk participated in the present study as subjects. They solved the same mathematical problem about sequence of complex numbers in their differed process requirements for analogical transfer. The problem solving rates for each condition were analyzed by Chi-square analysis using SPSS 12.0 program. The results of this study indicate that retrieval of base knowledge is restricted when participants do not use analogy intentionally in problem solving and the mapping of the base and target concepts through the visual representation would be closely related to successful analogical transfer. As the results of this study offer, analogical thinking is necessary while solving mathematical problems and it supports empirically the conclusion that recognition of the relational similarity between base and target concepts by the aid of visual representation is closely associated with successful problem solving.

• Annual Conference on Human and Language Technology
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• 2018.10a
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• pp.296-298
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• 2018

기존의 Word2Vec이나 Glove 등의 단어 임베딩 모델은 문맥에 상관없이 단어의 Vector들이 고정된 Vector를 가지는 문제가 있다. ELMo는 훈련된 Bi-LSTM 모델을 통해서 문장마다 Word Embedding을 수행하기 때문에 문맥에 상관없이 고정된 Vector를 가지는 문제를 해결하였다. 본 논문에서는 한국어와 같이 형태적으로 복잡한 언어의 경우 수 많은 단어가 파생될 수 있어 단어 임베딩 벡터를 직접적으로 얻는 방식에는 한계가 있기 때문에 형태소의 표상들을 결합하여 단어 표상을 사용한 ELMo를 제안한다. ELMo 단어 임베딩을 Biaffine attention 파싱 모델에 적용 결과 UAS에서 91.39%, LAS에서 90.79%으로 기존의 성능보다 향상된 성능을 얻었다.

• The Mathematical Education
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• v.44 no.4 s.111
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• pp.627-651
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• 2005

This study was conducted to attain an in-depth understanding of students' mathematical representations and to present the educational implications for teaching them. Twelve mathematical tasks were developed according to the six types of problems. A task performance was executed to 151 third graders from four classes in DaeJeon and GyeongGi. We analyzed the types and forms of representations generated by them. Then, qualitative case studies were conducted on two small-groups of five from two classes in GyeongGi. We analyzed how individuals' representations became elaborated into group representation and what patterns emerged during the collaborative small-group learning. From the results, most students used more than one representation in solving a problem, but they were not fluent enough to link them to successful problem solving or to transfer correctly among them. Students refined their representations into more meaningful group representation through peer interaction, self-reflection, etc.. Teachers need to give students opportunities to think through, and choose from, various representations in problem solving. We also need the in-depth understanding and great insights into students' representations for teaching.

• Korean Journal of Cognitive Science
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• v.28 no.2
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• pp.111-131
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• 2017

The connectionist model is one approach to studying language processing from a computational perspective. And building a representation in the connectionist model study is just as important as making the structure of the model in that it determines the level of learning and performance of the model. The connectionist model has been constructed in two different ways: localist representation and distributed representation. However, the localist representation used in the previous studies had limitations in that the unit of the output layer having a rare target activation value is inactivated, and the past distributed representation has the limitation of difficulty in confirming the result by the opacity of the displayed information. This has been a limitation of the overall connection model study. In this paper, we present a new method to induce distributed representation with local representation using abstraction of information, which is a feature of restricted Boltzmann machine, with respect to the limitation of such representation of the past. As a result, our proposed method effectively solves the problem of conventional representation by using the method of information compression and inverse transformation of distributed representation into local representation.

• Journal of Digital Convergence
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• v.10 no.9
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• pp.383-390
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• 2012

In this paper, we suggest an information retrieval visualization tool using the knowledge representation method. Information retrieval visualization tool suggested in this paper is designed to automatically extract retrieval intention using user's search history data and visualize extracted retrieval intention in the knowledge representation method structure. A psychological knowledge representation methodology was adopted for schema for retrieval intention representation and its effectiveness has been proved through the behavioral experiments. Result of experiment revealed that information retrieval visualization tool has been improved approximately 39% in user satisfaction compared to existing retrieval method, suggesting a measure to solve re-retrieval problem in the process of information retrieval.

• School Mathematics
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• v.18 no.1
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• pp.127-141
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• 2016

This study analyzes modes related to use of graph representation that appears to solve high school students quadratic function problem based on the graph using modes of Chauvat. It was examined the extent of understanding of the quadratic function of students through the flexibility of the representation of the Bannister (2014) from the analysis. As a result, the graph representation mode in which a high school students are mainly used is a nomographic specific mode, when using operational mode, it was found to be an error. The flexibility of Bannister(2014) that were classified to the use of representation from the point of view of the object and the process in the understanding of the function was constrained operation does not occur between the two representations in understanding the function in the process of perspective. Based on these results, the teaching on use graph representation for the students in classroom is required and the study of teaching and learning methods can understand the function from various perspectives is needed.

• Korean Journal of Culture and Social Issue
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• v.19 no.3
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• pp.507-528
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• 2013

The study examined the mental representation of children in foster care through the MacArthur Story Stem Battery (MSSB) and reviewed difference between children in foster care and typical children in terms of mental representation. Subjects of the study included a total of 50 children: 25 children (11 boys and 14 girls), aged from 5 to 8, in foster care in Gyeonggi Province, and 25 typical children (11 boys and 14 girls), aged from 5 to 8, who lived in Seoul and Gyeonggi Province. The research findings are summarized as follows: First, in terms of mental representation, children in foster care showed less subjects of empathic relations and more subjects of disorganized aggression than typical children. Second, children in foster care showed lower coherence mental representation than typical children. Finally, children in foster care were more likely to fail in emotional regulation than typical children in mental representation.

• Journal of The Korean Association For Science Education
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• v.39 no.5
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• pp.655-668
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• 2019

In this study, we investigated the middle school students' processes of scientific graph construction from the perspective of the problem solving process. Ten 9th graders participated in this study. They constructed a scientific graph based on pictorial data depicting precipitation reaction. The think-aloud method was used in order to investigate their thinking processes deeply. Their activities were videotaped, and semi-structured interviews were also conducted. The analysis of the results revealed that their processes of scientific graph construction could be classified into four types according to the problem solving strategy and the level of representations utilized. Students using the structural strategy succeeded in constructing scientific graph regardless of the level of representation utilized, by analyzing the data and identifying the trend based on the propositional knowledge about the target concept of the graph. Students of random strategy-higher order representation type were able to succeed in constructing scientific graph by systematically analyzing the characteristics of the data using various representations, and considering the meaning of the graph constructed in terms of the scientific context. On the other hand, students of random strategy-lower order representation type failed to construct correct scientific graph by constructing graph in a way of simply connecting points, and checking the processes of graph construction only without considering the scientific context. On the bases of the results, effective methods for improving students' ability to construct scientific graphs are discussed.