• Journal of the Korean School Mathematics Society
• /
• v.1 no.1
• /
• pp.121-130
• /
• 1998

The purpose of this study is to enhance the achievement in mathematics by developing compensatory learning materials and applying those to learning. The conclusions of this study are as follows. 1. Solving the learning tasks by cooperative learning guided instruction to learning by students from teaching by teacher, and it made learning effective and students cooperative in personal-relation 2. Learning materials for compensating learning deficit made students motivated and interested in mathematics, and active in learning. 3. By applying the learning materials for compensating prerequisite learning deficit, students could grasp learning contents and learning tasks, and their achievement could be enhanced. On the basis of problems which appeared in the progress of this study, the suggestions are as follows. 1, The necessity of mathematics in agricultural high schools should be recognized by students and various learning materials should be developed. 2. In cooperative learning, the roles of team-chiefs have a great influence on learning mood and problem-solving processes, they, therefore, must be directed beforehand so that they play the roles of leaders.

• Journal of the Korean School Mathematics Society
• /
• v.9 no.3
• /
• pp.317-345
• /
• 2006

The purpose of this paper is to provide readers related to mathematics education with information and guidelines on 'Teaching and Learning Materials for Differentiated Instruction in Mathematics'. This paper is generally comprised of two parts. The one part is basically focused on understanding the meaning of differentiated education. The focus of the other part is on developing differentiated instructional materials for mathematics, according to the following procedures: 1. Analyzing the current differentiated mathematics curriculum and textbooks 2. Drawing a framework for developing the differentiated teaching and learning materials, and planning the procedure of developing the materials in detail. 3. Developing, checking, and revising the materials 4. Proposing how to utilize the materials effciently and effectively in class

• The Mathematical Education
• /
• v.49 no.1
• /
• pp.15-37
• /
• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• Journal of the Korean School Mathematics Society
• /
• v.5 no.2
• /
• pp.1-15
• /
• 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 the Korean School Mathematics Society
• /
• v.15 no.4
• /
• pp.747-770
• /
• 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?

• Education of Primary School Mathematics
• /
• v.3 no.2
• /
• pp.109-113
• /
• 1999

To improve the elementary student's ability to classify the data and obtain the information from the data through graphics, it is necessary to use the teaching and learning material which encourage the student to study with interest and is adjacent to the student's environment. In this thesis. several materials to satisfy the condition is proposed together with some remarks to direct the teaching. These materials is recommended to use for the maturity learning and teaching in grade 6.

• Journal of the Korean School Mathematics Society
• /
• v.11 no.1
• /
• pp.69-96
• /
• 2008

The purpose of this paper is to perceive the problems of current geometry education in the middle school mathematics, to develop some learning materials fitted for the mathematising activities based on Freudenthal's learning theories and to analyze the mathematising process followed by teaching-learning activities. For this purpose, we design activity-oriented learning materials for geometry based on Freudenthal's learning theories, and appropriate teaching-learning models are established for the middle school geometry at the 8-NA stage level according to the theory of van Hiele's geometry learning steps. After applied to the practical lessons, the effects of mathematical activities are analyzed.

• Research in Mathematical Education
• /
• v.19 no.4
• /
• pp.247-265
• /
• 2015

Mathematics textbook plays a significant role in shaping students' learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students' learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students' learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.

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

• Journal of Science Education
• /
• v.43 no.1
• /
• pp.17-42
• /
• 2019

This study, as an attempt to integrate mathematics and information for convergence education, was conducted to develop teaching-learning materials on mathematics education combined with coding education, which has recently been emphasized. We chose the subject of digital signature for coding education, and used SageMath as a coding program. In this study, we overview mathematics used in the elliptic curve digital signature algorithm, one of the many methods for digital signature, and developed the teaching-learning materials on the algorithm for mathematics education integrated with information education based on coding. The elliptic curve digital signature algorithm utilized in transactions of Bitcoin, which many people recently are interested in, is a good example, showing students that mathematics is applied to problem-solving in the real world and provides an optimal environment for implementation by coding. Accordingly, we expect that a class on algorithm will provide a specific teaching-learning program to achieve the goal of integrated mathematics education. By comprehensively considering the opinions of mathematicians, mathematics teachers and mathematics education experts, we expect that the teaching-learning program will be realized as a meaningful class in science high schools, high school's math clubs, and 'number theory' class in colleges.