• School Mathematics
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• v.16 no.3
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• pp.409-444
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• 2014

There have been many discussions of teaching and learning mathematics through modeling activities in mathematics education research community. Although there has been some agreement regarding modeling activity as an alternative way to support mathematics teaching and learning, there is still no clear consensus on these issues. This paper reports a case study which aims to identify ways to design modeling tasks and instruction to foster meta-level learning, and investigate how modeling activities can facilitate meta-level learning. From the results of teaching experiment, this study examines the potential of modeling activities in mathematics teaching and learning.

• Journal of Educational Research in Mathematics
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• v.14 no.4
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• pp.403-419
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• 2004

The perspective on this study assumes that the mathematical modeling activity provides students with the environment which promotes metacognitive thinking. The purposes of this paper are to investigate metacognitive thinking on the mathematical modeling with the result of case study. The study revealed that development of students' model was accompanied with the control and monitoring of modeling activities. Also students refined the model by self-assessment and peer-assessment in small group modeling activities and developed generalizable model.

• Journal of Gifted/Talented Education
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• v.19 no.1
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• pp.187-205
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• 2009

The purpose of this study was to investigate the perception of science high school students for modeling module that contain scientists' thinking process. Modeling modules about 'gas diffusion', 'ion conductivity' and 'ion mobility' were applied to science high school students. Interview, lab report, and dialogue were analyzed to comprehend features of modeling module. Students who performed modeling modules perceived that modeling modules were appropriate to experience scientists' research process. Modeling modules were kind of activity to raise 'muscle of thinking', to be needed 'new views' and 'various representations', and to contain 'designing laboratory process'. Therefore, the development of various modeling modules is needed in the near future.

• School Mathematics
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• v.6 no.2
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• pp.153-179
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• 2004

In this article, we classify the middleschool students' mathematical modeling activities with three types as following: perceptive activity, cognitive activity, and metacognitive activity. And we research model development process through the interaction of perceptive, cognitive, and metacognitive activities. We report three results of our case study as following: First, students understanded the context of the modeling tasks on the base of their own experience and constructed the tasks with perceptive activity operating tool. Second, students developed various models with reorganizing cognitive activity which think and reason about perceptive activity-based model. Third, students were able to create generalizable and reusable models through metacognitive activities. This study revealed that the possible contribution of modeling activity as following. Students are able to understand abstractive mathematical knowledge as connecting between realistic activity and abstractive activity.

• Journal of The Korean Association For Science Education
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• v.42 no.2
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• pp.201-214
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• 2022

The purpose of this study is to examine the characteristics of model of the experiment in students' open inquiry. The research is a reinterpretation of the data collected from the performance of a three-year research project under the theme of 'school science inquiry' the perspective of model of the experiment. The inquiry activities of a focus group made up of four students have been recorded seven times. The recorded files and transcribed copies were analyzed according to interpretive methods. Students' activities were divided into three modeling of the experiment units, considering the modeling unit that includes the process of starting from the problem until it gets solved. The results of the study include illuminating the dynamic process and characteristics of modeling of the experiment and discussing its educational meaning as a distributed cognitive system at each modeling unit. First, students, instruments, and the primitive form of calculation represented by the interaction between them turned out to be important factors in the distributed cognitive system that constitutes model of the experiment. Second, in the early stages, non-verbal activities were carried out in which students became familiar with instruments, and verbal quantitative signs were created when the activities were sufficiently carried out. The generated quantitative signs became a source of data and confidence that can be referenced in subsequent activities. Third, the specialization of instrumentalization occurred, and factors that were important in inquiry, such as variable control, appeared. The results of the study provide new implications for science education research and education, which have been centered on explanatory models, by unfolding the characteristics of model of the experiment that have not been noticed in science education through students' inquiry.

• Journal of the Korean School Mathematics Society
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• v.22 no.2
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• pp.133-161
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• 2019

In this paper, we analyzed the case of supporting the mathematical modeling activities through the group creativity in everyday class of 9th grade. The details are as follows. First, through the theoretical review, the meaning of group creativity according to sociocultural perspective and the sociocultural characteristics of mathematical modeling were confirmed. Second, we experimented in a classroom consisting of 5 groups of 4 students, and conducted a case study focusing on a well developed group of group creativity. The results are as follows. First, group creativity with various types of interaction and creativity synergy was observed at each stage of mathematical modeling. According to the stag e of mathematical modeling and the type of interaction, different creative synergy was developed. Second, the developed group creativity supported each step of mathematical modeling. According to the stage of mathematical modeling and the type of interaction, group creativity supported mathematical modeling activities in different directions.

• Education of Primary School Mathematics
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• v.26 no.4
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• pp.317-332
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• 2023

Mathematical modeling activities hold the potential for diverse applications, involving the transformation of real-life situations into mathematical models to facilitate problem-solving. In order to assess the cognitive, affective, and social dimensions of students' engagement in mathematical modeling activities, this study conducted sessions with ten groups of fifth-grade elementary school students. The ensuing processes and outcomes were thoroughly analyzed. As a result, each group effectively applied mathematical concepts and principles in creating mathematical models and gathering essential information to address real-world tasks. This led to notable shifts in interest, enhanced mathematical proficiency, and altered attitudes towards mathematics, all while promoting increased collaboration and communication among group members. Based on these analytical findings, the study offers valuable pedagogical insights and practical guidance for effectively implementing mathematical modeling activities.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.59-72
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• 2022

The purpose of this study is to understand the characteristics of the mathematical modeling tasks and lesson designs developed by pre-service teachers based on the inherent awareness of mathematical modeling, considering the importance of creating a task to perform mathematical modeling activity and designing a lesson. As a result, the mathematical modeling tasks developed by pre-service teachers mainly presents an appropriate amount of information using real life contexts for the purpose of learning using concepts, and it showed a tendency to develop to the level of cognitive demand that required procedures with connections to understanding, meaning, or concepts. And most of the developed modeling task-based lessons showed a tendency to design warm-up activity, model-eliciting activity, and model-exploration activity. This result is due to the lack of experience of pre-service teachers in creating mathematical modeling tasks. Therefore, it is necessary to continuously provide opportunities for pre-service teachers to learn concepts or create mathematical modeling tasks intended for exploration according to various mathematical contents, thereby actively cultivating their ability to create modeling tasks in the course of training pre-service teachers. Furthermore, it is necessary to strengthen the expertise in mathematical modeling teaching and learning by providing opportunities to actually perform the mathematical modeling-based classes designed by pre-service teachers and to experience the process of reflecting on the lessons.

• Journal of Educational Research in Mathematics
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• v.27 no.1
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• pp.69-88
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• 2017

One of the most important activities in the process of mathematical modeling is to build models by conjecturing mathematical rules and principles in the real phenomena and to validate the models by considering its validity. Due to uncertainty and ambiguity inherent real-contexts, various strategies and solutions for mathematical modeling can be available. This characteristic of mathematical modeling can offer a proper environment in which creativity could intervene in the process and the product of modeling. In this study, first we analyze the process and the product of mathematical modeling, especially focusing on the students' models and validating way, to find evidences about whether modeling can facilitate students'creative thinking. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through mathematical modeling.

• Journal of the Korean Chemical Society
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• v.65 no.6
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• pp.455-467
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• 2021

The purpose of this study was to investigate the impact of negotiation-based peer and self-assessment activities on science-gifted students' modeling and students' perceptions of the impact of these assessment activities on modeling. For this purpose, 92 students in the 11th grade of a science high school, in a metropolitan city, were selected to conduct peer assessment, self-assessment, and science writing activities with four topics of Advanced Chemistry. The students' modeling was analyzed in terms of 'structuring scientific concepts', 'logic', 'multiple representations' and 'communication'. Based on the results, the mean scores of modeling increased for each element of evaluation according to the progress of assessment activities. Students' responses in the survey and interviews showed that students perceived the results of student assessment activities as valid, students also recognized the benefit of these assessment activities by referring to the assessment results before their next writing assignment.