• The Pure and Applied Mathematics
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• v.24 no.1
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• pp.35-44
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• 2017

The present paper aims at harnessing the technique of Lie Algebra and operational methods to derive and interpret generating relations for the three-variable Hermite Polynomials $H_n$(x, y, z) introduced recently in [2]. Certain generating relations for the polynomials related to $H_n$(x, y, z) are also obtained as special cases.

• Journal of Elementary Mathematics Education in Korea
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• v.4 no.1
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• pp.1-19
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• 2000

This paper aims to enhance students' interest in the use of calculators in mathematics education and promote their use of calculators in real-life situations. Towards these ends, problem types and instructional models developed for the efficient utilization of calculators. The instructional models focus on teaching mathematics relying on the path through which expert teachers have gone through to gain relevant knowledge. By developing problem types and instructional models suitable for calculator use, We can contribute to a better attainment of instructional goals in mathematics education. The instructional models and problem types will aid teachers in making decisions about instructional development plan and basic features of instructional activities. The use of a new medium will also lead to increased interest and confidence in learning, thus contributing to the enhancement of students' ego.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.143-157
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• 2016

This study aims to find out the feasibility and effectiveness of mathematical games as a way to provide primary pre-service teachers with doing mathematics. The game had induced the active participation of elementary pre-service teachers. Through transforming the game, the teachers have been able to experience of mathematical problem posing and generating mathematical representation. Based on this, we discuss the role of mathematical games as a method of pre-service teacher education.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.537-560
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• 2017

This study aims to investigate secondary mathematics teachers' beliefs about graphing calculator use in mathematics classrooms. For the purpose, we adopted a research instrument that was developed by Brown et. al(2007) and surveyed 32 mathematics teachers about their beliefs about graphing calculator use and teaching practice with calculators in their mathematics instruction. The data analysis suggested that the teachers rarely used calculators in their instruction and they have not had opportunities to use calculators in learning and teaching mathematics. Also, results suggested that the many teachers showed "Crutch beliefs"about the use of calculators in mathematics instruction.

• The Journal of Korean Association of Computer Education
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• v.13 no.5
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• pp.71-80
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• 2010

A lot of studies in and outside the country says that robots can become an effective tool in developing creativity, problem solving skills and positive learning motivation in the knowledge and information era. This study aims to verify the educational effect of robots in mathematics education by applying robots to mathematics education as a learning tool in an effort to improve the teaching/learning environment. For this study, the mathematics curriculum of elementary school and robot programming were analyzed and then a robot integrated mathematics program was developed. The developed program was applied to the mathematics education of an elementary school year 5 over 16 times. The result of the study showed that the experimental group which used the robot integrated program has better learning attitude and problem solving skills than the group which used the traditional method. The result also showed that the mathematics activities that used robot programming contributed to developing problem solving skills and provided positive mathematics learning experience.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.547-565
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• 2010

The study aims to compare between two lectures of elementary mathematics education in United States and Korea based on the Ball et al.'s classification of mathematical knowledge for teaching. The lecturers are a professor of University in United States and me. In both lectures, subjects and contents of lectures are much similar but there are many different things. And the differences are mainly due to the area of pedagogical content knowledge, especially either knowledge of content and students or knowledge of content and teaching. Also the different courses of both universities are one of important causes of the differences. The study will be able to contribute to the studies on the improvement of our course, elementary mathematics education.

• School Mathematics
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• v.7 no.4
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• pp.403-425
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• 2005

The study aims to get real picture of primary mathematics education based on RME in the Netherlands focusing on number and operations strand by reflecting and analyzing the documents in relation to the primary school mathematics curriculum. In order to attain these purposes, the present paper describes the core goals for mathematics education, Dutch Pluspunt textbook series for the primary school, and a learning-teaching trajectory by TAL project which are determinants of the Dutch primary school mathematics curriculum. Under these reflections on the documents, it is analyzed what is the characteristics of number and operations strand in the Nether-lands as follows: counting numbers, contextualization, positioning, structuring, progressive algoritmization based on levels, estimation and insightful use of a calculator. Finally, discussing Points for improving our primary mathematics curriculum and textbook series development are described.

• 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.

• School Mathematics
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• v.9 no.2
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• pp.197-222
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• 2007

The study aims to reflect the elementary school geometry education based on the Realistic Mathematics Education in the Netherlands in the light of the results from recent researches in geometry education and the direction of geometry standards for school mathematics of the National Council of Teachers of Mathematics in order to induce implications for improving korean geometry curriculum and textbook series. In order to attain these purposes, the present paper reflects the history of elementary school geometry education in the Netherlands, sketches the elementary school geometry education based on the Realistic Mathematics Education in the Netherlands by reflecting general goals of the mathematics education, the core goals for geometry strand of the Netherlands, and geometry and spatial orientation strand of Dutch Pluspunt textbook series for the elementary school more concretely. Under these reflections on the documents, it is analyzed what is the characteristics of geometry strand in the Netherlands as follows: emphasis on realistic spatial phenomenon, intuitive and informal approach, progressive approach from intuitive activity to spatial reasoning, intertwinement of mathematics strands and other disciplines, emphasis on interaction of the students, cyclical repetition of experiencing phase, explaining phases, and connecting phase. Finally, discussing points for improving our elementary school geometry curriculum and textbook series development are described as follows: introducing spatial orientation and emphasizing spatial visualization and spatial reasoning with respect to the instruction contents, considering balancing between approach stressing on grasping space and approach stressing on logical structure of geometry, intuitive approach, and integrating mathematics strands and other disciplines with respect to the instruction method.

• Journal of Engineering Education Research
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• v.22 no.4
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• pp.22-31
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• 2019

This study aims to elucidate the relationship between physics and mathematics to predict achievement for the college level of engineering courses. For the last 4 years, more than 3,000 engineering college freshmen of this study took the diagnostic tests on three subjects, which were physics, mathematics, and chemistry before enrollment. We studied how strongly these diagnostic scores can predict each general college course grades. The correlation between the physics diagnostic scores and the course grades in physics was .264, which was significantly lower than the correlation between the mathematics scores and the physics grades, .311. This stronger prediction of the mathematical diagnostic scores for the general course grades was not found when predicting the grades in chemistry. We therefore conclude that mathematical preparation can unexpectedly predict future achievement in physics better than physics preparation due to the academic interrelationships between mathematics and physics.