• Journal of the Korean School Mathematics Society
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• v.5 no.2
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• pp.1-15
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• 2002

The purpose of this study came to start to be helpful in that the teachers in field produced evaluation subject about the mathematics and applied by analyzing the performance capacity for the students about the subject developed through the application of subject about the teaching-learning model that can utilize the learners' learning experience and the development of items that can evaluate it by utilizing various and concrete operational materials as an object of the first year at the middle schools. The concrete purpose of realizing it is as follows. 1. This study is to develop the teaching-learning model centered on activities adequate to utilize various and concrete operational materials. 2. This study is to develop evaluation data for utilizing the concrete operational materials by making construction through the application of developed teaching-learning model as possible. 3. This study is to present standards initiative for reliable and fair marking about the evaluation data and to analyze the students' practice capacity by using it effectively. For accomplishing the purpose of this research, this study is the work-oriented teaching and learning model using learning data that can be easily found around the surroundings and 8 evaluation programs in order that the experience-oriented learning based on circumstances learning among the learning models of constructivism. Also, it is to examine the result after applying that on a basis of 25 students, consisted of only on class in a year, in the first year at the small size of agricultural middle schools. The result of this study from this research is as follows. First, as a result of frequency survey, of response about the developed evaluation data it showed positive response more than 80% of all the items. The atmosphere of self-directed learning was produced because the developed evaluation data could induce activity-based learning naturally by stimulating the students' curiosity and promoting interest. Second, this study executed t-test for the result of questionnaire about the mathematics propensity, and there were significant differences in 19 items among 25 items. It presented that the application of data about the teaching-learning and evaluation directly using concrete operational materials to the constructional learning by level might have desirable affect on the students' mathematical propensity. It came to be a motive that could increase value recognition and interest on the subject of mathematics by investigating a mathematical principle rule and confirming it through activity learning using the concrete operational materials.

• Journal of Educational Research in Mathematics
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• v.12 no.3
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• pp.389-408
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• 2002

This paper is based on a teaching experiment research conducted in a differential equations course at Ewha Womans University. The purpose of this paper lies in seeking a new direction in the teaching and learning of college mathematics by applying RME's theoretical essence to the teaching of differential equations. For this purpose, the emergent procedure had to be carefully considered before to analyzing the existing problems in teaching differential equations and alternative access to reformed differential equations. Methods of developmental research, ideas concerning teaching procedure and instructional design are offered. This research demonstrates that a deeper understanding of differential equations by students can be achieved with the instructional design which reflects the RME theory.

• Journal of Educational Research in Mathematics
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• v.15 no.4
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• pp.419-444
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• 2005

As a theoretical background for this research, the literatures which focus on teaching and loaming of connecting with mathematics and science were investigated. And the rationale of integrated curriculum on the basis of the 7th mathematics curriculum and the goal of mathematics education and the forms of integrated curriculum and the integrated curriculum in foreign school were investigated. Depending on this review, the implement method of the integrated curriculum of mathematics and science in Korea school is suggested as the following: It requires designing inter-disciplinary into-grated problem or various teaching and learning materials which are based upon concept, skill, and principle by commonality found across the subject matter. Based on the analyses upon described above, three inter-disciplinary integrated teaching and learning materials were developed. And then, based on the case stud)', the research questions were analyzed in depth. Students could understand the developing process of linear function, develop the formula and grape representing the relationship between time and velocity, time and distance, and interpret realistic meaning of the slope.

• Research in Mathematical Education
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• v.25 no.2
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• pp.135-158
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• 2022

This study aimed to building models to understand the relationships between reasoning resources and content knowledge. We applied Support Vector Machine and linear models to the data including fifth graders' scores in the Cornel Critical Thinking Test and the Iowa Assessments, demographic information, and learning science approach (a student-centered approach to learning called the Science Writing Heuristic [SWH] or traditional). The SWH model showing the relationships between critical thinking domains and academic achievement at grade 5 was developed, and its validity was tested across different learning environments. We also evaluated the stability of the model by applying the SWH models to the data of the grade levels. The findings can help mathematics educators understand how critical thinking and achievement relate to each other. Furthermore, the findings suggested that reasoning in mathematics classrooms can promote performance on standardized tests.

• International Journal of Advanced Culture Technology
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• v.10 no.4
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• pp.86-93
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• 2022

To combine the science and technology creativity necessary in the era of the 4th Industrial Revolution, it is necessary to cultivate talents who can discover new knowledge and create new values by combining various knowledge with self-directed mathematical competencies. This research attempted to lay the foundation for the curriculum for fostering future creative convergence talent by preparing, executing, and reflecting on the learning plan after learners themselves understand their level and status through self-directed learning. Firstly, We would like to present a teaching-learning plan based on the essential capabilities of the future society, where the development of a curriculum based on mathematics curriculum and intelligent informatization are accelerated. Secondly, an educational design model system diagram was presented to strengthen the self-directed learning ability of mathematics subjects in the electronic engineering curriculum. Consequently, through a survey, we would like to propose the establishment of an educational system necessary for the 4th industry by analyzing learning ability through self-directed learning teaching methods of subjects related to mathematics, probability, and statistics.

• The Mathematical Education
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• v.49 no.4
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• pp.423-436
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• 2010

In this paper we discuss the Socratic method from the aspects of subject education and examine the meaning of the method in mathematics education that is the most suitable subject for the realization of the Socratic method. In addition, as a realization of the Socratic method, we conducted a teaching-learning experiment of complex natural exponential function with a 2nd year college student. The results of the experiment are analyzed with the intention of improving instruction of the complex analysis that is one of the college mathematics courses.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.39-61
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• 2012

Mathematical creativity is essential in school mathematics and mathematics curriculum and ensures the growth of mathematical ability. Therefore mathematics educators try to develop students' creativity via mathematics education for a long time. In special, 2011 revised mathematics curriculum emphasizes mathematical creativity. Yet, it may seem like a vague characterization of mathematical creativity. Furthermore, it is needed to develop the methods for developing the mathematical creativity. So, the goal of this paper is to search for teaching and learning models for developing the mathematical creativity. For this, I discuss about issues of mathematical creativity and extract the factors of mathematical creativity. The factors of mathematical creativity are divided into cognitive factors, affective factors and attitude factors that become the factors of development of mathematical creativity in the mathematical instruction. And I develop 8-teaching and learning models for development of mathematical creativity based on the characters of mathematics and the most recent theories of mathematics education. These models make it crucial for students to develop the mathematical creativity and create the new mathematics in the future.

• Communications of Mathematical Education
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• v.26 no.1
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• pp.109-135
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• 2012

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.

• International Journal of Computer Science & Network Security
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• v.23 no.6
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• pp.35-48
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• 2023

The study aimed to provide a proposed conception of technical solutions to address the educational loss in mathematics in the fifth grade of primary school, and the study adopted the descriptive approach. male and female teachers, and to achieve the study objective, the researcher built a tool for the study, a "questionnaire", in which he used the comprehensive inventory method, and the results of the study showed: identifying the learning outcomes that represent an educational loss, and identifying the learning outcomes that are considered essential in teaching and learning mathematics for the fifth grade of primary school. In the event that it is not achieved by students, it is considered an educational loss that may affect the future of students' education and learning. Because it is a basis for later experiences in mathematics in other classes, and the study also found the effectiveness of the proposed visualization of technical solutions provided to address the educational loss in mathematics for the fifth grade: (short electronic tests, YouTube channel, homework, educational platform, electronic worksheets, and communication channels).

• Journal of the Korean School Mathematics Society
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• v.6 no.2
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• pp.21-37
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• 2003

In this paper, we improved, compared and analyzed the articulation of school mathematics. We also tried to form the theoretical basis of school mathematics by classifying and considering the articulation into vertical articulation and horizontal articulation depending on the meaning, and give an actual help. The articulation of school mathematics until now has been focused on a study of vertical articulation according to the macroscopic characteristic of mathematics, but now a study of the horizontal articulation as well as the vertical articulation should be done in consideration of the micro characteristics of mathematics and various realities of life by modifying a syllabus of the function unit and by using internet homepage. Thus, we structurally divided the articulation into vertical articulation and horizontal articulation, analyzed mathematical activities and presented actual models of each representative learning activity for smooth teaching in schools through the function unit.