• School Mathematics
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• v.13 no.4
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• pp.563-580
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• 2011

This study is centered on the application of metaphor theory to math education from the cognitive-linguistic view. This study, at first, introduced what metaphor is, and looked into it from the math-educational view. Furthermore, on the basis of that, this study examined the significance of metaphor to math education, and dealt with its relevance to math education, focusing on the functions that metaphor has. This study says that metaphor has the function of explanation, elaboration and representation. In addition, this study examplifies that using metaphor can be an effective math learning strategy for mathematical concept explanation, mathematical connection and mathematical representation learning.

• Education of Primary School Mathematics
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• v.27 no.3
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• pp.321-331
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• 2024

This study aims to analyze the difficulties encountered in the process of conceptualizing fractions from the perspective of metaphor. To achieve this, metaphors in mathematics education were examined by dividing them into natural conceptualizations through metaphor and their extension to educational metaphors. Subsequently, the difficulties in learning fractions through metaphorical conceptualization were analyzed from three aspects: the integration of multiple metaphors, interference from previously formed grounding metaphors, and the paradoxes of metaphor. Through this analysis, the study highlights the need for careful attention to how metaphors function during fraction learning and aims to provide insights for devising instructional strategies for teaching fractions.

• Journal of The Korean Association For Science Education
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• v.33 no.4
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• pp.718-734
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• 2013

The purpose of the study is to investigate high school students' perception and understanding of old metaphorical science terminologies and new metaphorical science terminologies (highly metaphorical science terminologies). For the study, three old metaphorical terminologies and three new metaphorical terminologies have been chosen from the old and new Korean science curricula respectively, and 176 high school students who learned physics based on 7th science curriculum developed in 1997 and 175 highschool students who learned physics based on the science curriculum revised in 2009 were sampled from two high schools in a big city in Korea. The research results are as follows: First, for the old metaphorical terminologies, there are more students who give explanations using scientific terms than those who use the meaning of the metaphors that terminologies had. Second, for the new metaphorical terminologies, there are much less students who give explanations using scientific terms than those who explained using the meaning of the metaphors that the terminologies had. Therefore, it should be emphasized that, for the new metaphorical terminologies, the metaphorical meaning of the terminologies do not mean the concepts themselves in teaching science.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.145-166
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• 2012

The objective of this study is to analyze the cases related to the lingual and non-lingual metaphors used in the math class at elementary school and consider the values of metaphors as a teaching method for the subject of mathematics. Throughout this study, teachers' gestures are analyzed as lingual and non-lingual metaphors shown between teachers and students in the class for the topic of the inverse proportion in quartic equations for direct and inverse proportions in Chapter 7 for the first semester of the 6th grade at elementary school in terms of the amended curriculum for the year of 2007. According to the results of the analysis, it can be concluded that there are mechanical and hypothetical movement metaphors in the mathematical metaphors observed in this study. Also, in terms of gestures, iconic, metaphoric and deixis gestures are found. Such metaphors seem to be evenly distributed throughout the math class and expressed in various forms. Based on the results of the analysis, the educational meaning given by the utilization of metaphors is considered for the math class.

• The Mathematical Education
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• v.62 no.1
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• pp.79-93
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• 2023

This study used metaphors as a analysis tool to investigate elementary school students' formation and development of angle concepts. For this purpose, the students were asked to write words associated with angle, right angle, acute angle and obtuse angle and to explain why. In case of angle and right angle, responses of 268 students from 3rd to 6th graders were analyzed and for acute angle and obtuse angle, those of 192 students from 4th to 6th graders were examined. As the results of categorizing the metaphors, they can be classified into categories such as; (1) qualitative aspects: 'things metaphor', 'personality metaphor', 'emotions metaphor' etc., (2) quantitative aspects: 'motions metaphor', 'changes metaphor', 'emotions metaphor' etc., and (3) relational aspects: 'shape relations metaphor.' The metaphoric expressions were prominent in 'qualitative aspects' associated with shapes. As for the other aspects, 'quantitative aspect'- the size of angles and the amount of spread and 'relational aspects' - elements of angle and relationship with another shapes, the frequency increses were shown to as grade levels were up. In case of right angle and acute angle, 'qualitative aspects' associated with shapes were outstanding and the frequency of the metaphoric expressions of obtuse angle was distributed similarly in three aspects. As the figure strand and the measurement strand are integrated to an strand in the 2022 revised curriculum, we need more discussion of multifaced aspects of angle and the learning sequences in the 'figure and measurement' strand.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.397-415
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• 2022

The purpose of this study is to analyze the discourse structure of teachers that can help students participate in class by using mathematical metaphors that can arouse students' interest and motivation. In order to achieve this goal, we observed a semester class of a career teacher who practiced pedagogy that connects students' experiences with mathematical concepts to motivate students to learn and promote participation. Among the metaphors that the study target teachers used in a variety of mathematical concepts and problem-solving processes during the semester, we extracted the two class examples that can help develop teaching methods using metaphors. Representatively selected two classes are one class example using metaphors and, the other class example using metaphors and expanding and applying problems. As a result of analysis, the structure of teacher discourse that uses metaphors and expands and applies problems by linking students' experiences with mathematical content was found to help solve a given problem and elaborate mathematical concepts. As a result of the analysis, the discourse structure of teachers using mathematical metaphors based on communication with students could provide implications for the development of teaching methods for the recovery of mathematics education.

• Journal of Educational Research in Mathematics
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• v.20 no.1
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• pp.57-71
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• 2010

Similarity between concept and concept, principle and principle, theory and theory is known as a strong motivation to mathematical knowledge construction. Metaphor and analogy are reasoning skills based on similarity. These two reasoning skills have been introduced as useful not only for mathematicians but also for students to make meaningful conjectures, by which mathematical knowledge is constructed. However, there has been lack of researches connecting the two reasoning skills. In particular, no research focused on the interplay between the two in didactic transposition. This study investigated the process of knowledge construction by metaphor and analogy and their roles in didactic transposition. In conclusion, three kinds of models using metaphor and analogy in didactic transposition were elaborated.

• The Journal of the Convergence on Culture Technology
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• v.9 no.4
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• pp.357-362
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• 2023

This study aims to investigate the perception of pre-service early childhood teachers regarding play-oriented education through metaphorical analysis, in order to comprehend its meaning that pre-service early childhood teachers perceive. A questionnaire was used, which asked the participants to express play metaphorically and provide reasons for their choices. The collected data were analyzed using a systematic metaphorical analysis approach. The results revealed that the metaphorical expressions of pre-service early childhood teachers regarding play-oriented education were categorized as instructional methods being the most prominent, followed by environment, enjoyment/happiness, autonomy, growth and development, interactive relationships, child-directedness, the essence of life, interest, creativity, potential, variability, everyday life, ambiguity of beginnings and endings, naturalness, and others. Based on these findings, it is expected that one can attain insights regarding the methods of training pre-service early childhood teachers on how to implement play-centered education in the revised Nuri curriculum.

• Education of Primary School Mathematics
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• v.22 no.4
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• pp.223-237
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• 2019

There is a close interaction between the linguistic-syntactic representation system and the affective representation system that appear in the mathematical process. On the other hand, since the mathematical conceptual system is fundamentally metaphoric, the analysis of the mathematical concept structure through linguistic representation can help to identify the source of cognitive and affective obstacles that interfere with mathematics learning. In this study, we analyzed the problem-solving protocols of mathematical gifted children from the perspective of cognitive language and meta-affect to identify the relationship between the functional characteristics of the text and metaphor they use and the functional characteristics of meta-affect. As a result, the behavior of the cognitive and affective characteristics of mathematically gifted children differed according to the success of problem solving. In the case of unsuccessful problem-solving, the use of metaphor as an internal representation system was relatively more frequent than in the successful case. In addition, while the cognitive linguistic aspects of metaphors play an important role in problem-solving, meta-affective attributes are closely related to the external representation of metaphors.

• School Mathematics
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• v.5 no.1
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• pp.135-149
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• 2003

We present an understanding about students' conceptual model of differential equations, based on the discourse data that were collected in a differential equations course at a university in Korea. An interpretive approach is taken to analyze classroom discourse. This paper consists of three main parts. First, we completely analyze the students' use of conceptual metaphor in a university differential equations class. Secondly, we identify conceptual metaphors representing students' conceptual model of differential equations. Finally, we describe the mathematical characteristics of the conceptual metaphors identified in detail. Among other things, this paper reveals that there exists dual aspects of the students' conceptual model of differential equations. In other words, in the differential equations course observed we found that the students very often used two kinds of conceptual metaphor,“machine metaphor”and“fictive motion metaphor”, that have contrastingly different mathematical characteristics. In order to interpret the duality, we take a sociocultural perspective, and this perspective suggests and helps us to realize the significance of understanding of cognitive diversity in mathematics classroom.