• Education of Primary School Mathematics
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• v.26 no.3
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• pp.141-162
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• 2023

Recently, in school mathematics, classes using mathematical modeling are attracting attention to improve students' mathematical problem-solving skills. However, existing preceding studies have been conducted mainly on elementary, middle, and high school or in-service teachers, so it may be limited to apply the contents and results of the research as it is to pre-service teachers, who are future professors. Therefore, this study examined the school days' experiences of mathematical modeling for pre-service elementary school teachers. In addition, in order to provide a positive experience for mathematical modeling, mathematical modeling problem creation activities were conducted through group activities, and the results and their perceptions were examined. As a result of the study, elementary school preservice teachers had very little experience with mathematical modeling activities during their elementary, middle, and high school days. It was found that there is a deficiency in creating an appropriate mathematical modeling problem suitable for the level of elementary school students. In addition, it was found that they had a positive perception of mathematical modeling after participating in the study. Based on these results, implications for the training process for preservice teachers were suggested.

• Research in Mathematical Education
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• v.9 no.1 s.21
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• pp.25-45
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• 2005

Background Phenomenography suggests that more variation is associated with wider ways of experiencing phenomena. In the discipline of mathematics, broadening the 'lived space' of mathematics learning might enhance students' ability to solve mathematics problems Aims The aim of the present study is to: 1. enhance secondary school students' capabilities for dealing with mathematical problems; and 2. examine if students' conception of mathematics can thereby be broadened. Sample 410 Secondary 1 students from ten schools participated in the study and the reference group consisted of 275 Secondary 1 students. Methods The students were provided with non-routine problems in their normal mathematics classes for one academic year. Their attitudes toward mathematics, their conceptions of mathematics, and their problem-solving performance were measured both at the beginning and at the end of the year. Results and conclusions Hierarchical regression analyses revealed that the problem-solving performance of students receiving non-routine problems improved more than that of other students, but the effect depended on the level of use of the non-routine problems and the academic standards of the students. Thus, use of non-routine mathematical problems that appropriately fits students' ability levels can induce changes in their lived space of mathematics learning and broaden their conceptions of mathematics and of mathematics learning.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.439-467
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• 2022

The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.

• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.271-282
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• 2007

Producing tools for actively meeting social needs in a radical changing society due to the development of modern technology has been shifted from physical ability to intelligent ability. The prominence of educating creativity is perceived as a good preparation in order to deal with them. Considered that assessment which is systematic activity to collect, analyze, diagnose, and judge information of a series of instruction practices is means to impart evidence and feedback of teaching learning practices, education and assessment is placed on reciprocal relationship. Nevertheless, there has been some tendency of neglect of assessment, comparing education for upbringing creativity. In this paper model of pencil and paper problem is discussed focusing on the sub-components of creativity and problem solving as one of the variety of means to extend mathematical creativity.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.1
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• pp.123-134
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• 2010

Recently, mathematics education have been emphasized on developing students' mathematical thinking and problem solving abilities. Accordance with this emphasis, dramatical changes are needed in learning mathematics not merely let alone students solve real-made mathematics problems. The project learning to explore a counterweight activity will have an effects on positive mathematical attitude(to pose problem, to have curiosity) and mathematical thinking(power 10-digit representation, 2-digit number, two representation of 3-digit number, connect exponential number and log situation) which could develop understanding problems and critical thinking.

• Journal of Gifted/Talented Education
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• v.25 no.4
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• pp.581-605
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• 2015

The purpose of this study is to build an instruction method focused on the mathematical process and apply it to 12, 5-year-olds from Kindergarten located in Seoul with a view to explore the changes in their mathematical thinking. In addition, surveys with parents and teachers, as well as those conducted in the field of early childhood education, were conducted to analyze the current situation. The effects focused on the five mathematical processes, namely problem solving, reasoning and proof, connecting, representing and communication was found to help the interactions between teacher-child and child-child stimulate the mathematical thinking of the children and induce changes. The mathematical process-focused instruction aimed to advance mathematical thinking internalized mathematical knowledge, presented an integrated problematic situation, and empathized the mathematical process, which enabled the children to solve the problem by working together with peers. As such, the mathematical thinking of the children was integrated and developed within the process of a positive change in the mathematical attitude in which mathematical knowledge is internalized through mathematical process.

• Research in Mathematical Education
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• v.14 no.2
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• pp.123-141
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• 2010

This study introduced a coding method for mathematical problems in the TIMSS 1999 Video Study, which used sixteen indicators to analyze mathematical problems in a lesson. Based on this framework for coding, the researcher analyzed three lesson videos on Binomial Theorem taught respectively by three Chinese teachers, and got some features of mathematical problems in these three lessons.

• Honam Mathematical Journal
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• v.19 no.1
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• pp.145-155
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• 1997

• East Asian mathematical journal
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• v.4
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• pp.157-173
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• 1988

• Journal of the Korean Mathematical Society
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• v.32 no.1
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• pp.41-50
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• 1995