• East Asian mathematical journal
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• v.35 no.2
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• pp.217-237
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• 2019

This Modeling is a cyclical process of creating and modifying models of empirical situations to understand them better and improve decisions. The role of modeling and teaching mathematical modeling in school mathematics has received increasing attention as generating authentic learning and revealing the ways of thinking that produced it. In this paper and interactive lecture session, we will review a subset of the related literature, discuss benefits and challenges in teaching and learning mathematical modeling, and share our attempts to improve traditional textbook problems so that they can become more authentic modeling activities and implications for instruction and assessment as well as for research.

• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.747-770
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• 2012

In this study, we develop the mathematical modeling teaching materials focused function units of mathematics textbooks and establish the appropriate teaching and learning model. Using mathematical modeling materials and developed instructional materials for teaching high school students is aimed to improve the academic achievement, mathematical attitude and fear. The problem of this study is as follows : First, between the groups using mathematical modeling and a traditional textbook teaching academic achievement groups showed that there is a difference? Second, between the groups using mathematical modeling and a traditional textbook teaching mathematics between groups showed that there is a difference of mathematical attitude and fear? Third, what are the lessons for the students' responses using mathematical modeling?

• Research in Mathematical Education
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• v.26 no.3
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• pp.167-202
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• 2023

A central problem of mathematics teaching worldwide is probably the insufficient adaptive handling of tasks-especially in computational practice phases and modeling tasks. All students in a classroom must often work on the same tasks. In the process, the high-achieving students are often underchallenged, and the low-achieving ones are overchallenged. This publication uses different modeling of the tennis serve as an example to show a possible solution to the problem and develops and discusses one adaptive task each for middle school, high school, and college using three mathematical models of the tennis serve each time. From model to model within the task, the complexity of the modeling increases, the mathematical or physical demands on the students increase, and the new modeling leads to more realistic results. The proposed models offer the possibility to address heterogeneous learning groups by their arrangement in the surface structure of the so-called parallel adaptive task and to stimulate adaptive mathematics teaching on the instructional topic of mathematical modeling. Models A through C are suitable for middle school instruction, models C through E for high school, and models E through G for college. The models are classified in the specific modeling cycle and its extension by a digital tool model, and individual modeling steps are explained. The advantages of the presented models regarding teaching and learning mathematical modeling are elaborated. In addition, we report our first teaching experiences with the developed parallel adaptive tasks.

• 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.

• School Mathematics
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• v.7 no.3
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• pp.303-318
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• 2005

If students can use mathematics to solve their problems and learn the mathematical knowledge through it, they may think mathematics useful and valuable. This study is for the teaching through problem solving in mathematics education, which I consider in terms of the problem-based learning and mathematical modeling. 1 think mathematical modeling is applied to teaching mathematics as a problem-based learning. So I developed the teaching model, and showed the example that students learn the formal and hierarchic mathematics through mathematical modeling.

• Journal of The Korean Association For Science Education
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• v.40 no.5
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• pp.543-563
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• 2020

This study explores how the teaching practices of two teachers changed during scientific modeling classes. It also aims to understand these changes in terms of the teachers' modeling pedagogical content knowledge (PCK) development. The study participants were two elementary school teachers and their fifth-grade students. The teachers taught eight lessons of scientific modeling classes about the human body. The data analysis was conducted for lessons 1-2 and 7-8, which best showed the change in teaching practice. The two teachers' teaching practices were analyzed in terms of feedback frequency, feedback content, and the time allocated for each stage of model generation, evaluation, and modification. Teacher A led the evaluation and modification stages in a teacher-driven way throughout the classes. In terms of feedback, teacher A mainly used answer evaluation feedback in lesson 1-2; however, in lesson 7-8, the feedback content changed to thought-provoking feedback. Meanwhile, teacher B mostly led a teacher-driven model evaluation and modification in lesson 1-2; however, in lesson 7-8, she let her students lead the model evaluation and modification stages and helped them develop models through various feedbacks. The analysis shows that these teaching changes were related to the development of modeling PCK components. Furthermore, the two teachers' modeling PCK differed in teaching orientation, in understanding the modeling stages, and in recognizing the value of modeling, suggesting the importance of these in modeling teaching practice. This study can help improve the understanding of modeling classes by revealing the relationship between teaching practices and modeling PCK.

• The Mathematical Education
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• v.48 no.4
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• pp.365-385
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• 2009

Recently, mathematical modeling has been attractive in that it could be one of many efforts to improve students' thinking and problem solving in mathematics education. Mathematical modeling is a non-linear process that involves elements of both a treated-as-real world and a mathematics world and also requires the application of mathematics to unstructured problem situations in real-life situation. This study provides analysis of literature review about modeling perspectives, case studies about mathematical modeling, and textbooks from the United States and Korea with perspective which mathematical modeling could be potential and meaningful to students even in elementary school. Further, teaching method with mathematical modeling was investigated to see the possibility of application to elementary mathematics classroom.

• Journal of the Korean School Mathematics Society
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• v.20 no.2
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• pp.91-117
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• 2017

In this paper, we develop a logarithm units' teaching learning materials using genetic modeling which is designed for students to construct by themselves and figure out mathematical knowledge conceptually, and we analyze the process of students' comprehension of logarithm concepts through genetic modeling activities. For this purpose, we divide logarithm units into three subunits and develop teaching learning materials which include genetic original contexts and are framed by the four pedagogic phases of genetic modeling, application, extraction, comprehension, and construction so that students themselves are capable of construct the concepts of logarithm units. The developed teaching learning materials are applied into lessons for two intermediate-basic students and two intermediate-advanced students. Through this, we examine students' conceptual construction process about logarithms units with the four pedagogical stages of genetic modeling applied, and analyze the depth of their comprehension about the logarithm units based on the general phases of mathematics-learning introduced by van Hiele, and then we suggest several pedagogical implications.

• Journal of Educational Research in Mathematics
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• v.27 no.2
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• pp.313-328
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• 2017

This study aims to identify prospective elementary school teachers' perception of mathematical modeling in elementary class. Forty elementary school teachers participated in this study. Each teacher analysed the previous case studies about mathematical modeling in elementary class, developed a hypothetical learning trajectory, applied the hypothetical learning trajectory to his/her class, reflected students' learning and his/her teaching, and made reflective journals. These journals contained teachers' perception of mathematical modeling and the difficulties that teachers experienced in teaching mathematics as mathematical modeling. These journals were analyzed to identify teachers' perception of mathematical modeling in elementary class. This study shows that teachers have common features of mathematical modeling but their perspectives are little bit different, are classified into four kinds. And the difficulties that teachers experienced in teaching mathematics as mathematical modeling are classified into 5 categories; Task, Students' cognitive demand, Teacher' monitering, All students' participation, and Classroom culture. At last, suggestions for mathematical modeling in elementary class are done according to the result of this study.

• Korean Journal of Childcare and Education
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• v.16 no.2
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• pp.47-65
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• 2020

Objective: This study investigated the relationship between preschool teachers' creativity, teaching efficacy, and creativity-fostering teaching and examined the mediating effect of teaching efficacy. Methods: A total of 202 preschool teachers participated in this study. The Creative Behavior Inventory (CBI), Teaching Efficacy Scale, and the Creativity-Fostering Teacher Behavior Index (CFTI) were used for the survey. A hypothesized model and alternative model were tested using structural equation modeling. Collected data were analyzed using 18.0 PSAW and AMOS. Results: The results showed that preschool teachers' creativity was positively associated with their teaching efficacy and creativity fostering teaching. Preschool teacher's teaching efficacy positively related to their creativity fostering teaching. Preschool teachers' creativity had a significant positive direct effect on creativity-fostering teaching and also an indirect effect on creativity-fostering teaching via teaching efficacy. Conclusion/Implications: Implications to foster creativity in preschool and kindergarten are discussed, highlighting the necessity for teacher education to promote teaching efficacy as well as teacher's creativity and creativity-related activities.