• Journal of the Korean School Mathematics Society
• /
• v.24 no.3
• /
• pp.283-308
• /
• 2021

This study aims to analyze statistical tasks in Korean and Singaporean textbooks with the mathematical modeling perspective and compare the learning contents and experiences of students from both countries. I analyzed mathematical modeling tasks in the textbooks based on five aspects: (1) the mathematical modeling process, (2) the data type, (3) the expression type, (4) the context, and (5) the mathematical activity. The results of this study show that Korean and Singaporean textbooks provide the highest percentage of the "working-with-mathematics" task, the highest percentage of the "matching task," and the highest percentage of the "picture" task. The real-world context and mathematical activities used in Korean and Singaporean textbooks differed in percentage. This study provides implications for the development of textbook tasks to support future mathematical modeling activities. This includes providing a balanced experience in mathematical modeling processes and presenting tasks in various forms of expression to raise students' cognitive level and expand the opportunity to experience meaningful mathematizing. In addition, it is necessary to present a contextually realistic task for students' interest in mathematical modeling activities or motivation for learning.

• East Asian mathematical journal
• /
• v.34 no.4
• /
• pp.371-402
• /
• 2018

The researchers set up a research question to find out how to teach the concept of a right triangle through classification activities after listening to the conversations of fellow teachers about the recently revised textbooks. First, a questionnaire was created to confirm the objectivity of the research problem, data were collected through online and offline, and interviews were conducted with some of the respondents. As a result, it confirmed that there was a considerable difference in the perception of the research study about the direction of revising the curriculum called 'student participation centered' and 'the possibility of achieving the learning objective'. Then, we analyzed the critical interpretations used in the third grade math textbook Lesson 2. 'Plane Figure' part 4 and 5. Finally, by analyzing the results of the recognition analysis and textbook analysis, we proposed two learning methods which can link the triangle classification activity and the right triangle concept. Based on the results of the research, we obtained suggestions that a teaching should be made regarding that the classification process may be changed according to the student's prior knowledge and the process of classification activities may be different according to the viewpoint and classification criteria.

• Communications of Mathematical Education
• /
• v.27 no.4
• /
• pp.429-448
• /
• 2013

The aim of this study was to examine how analogical mapping articulation activity played a role in solving process in word problems. We analyzed the problem solving strategies and processes that the participating thirty-three 8th grade students employed when solving the problems through analogical mapping articulation activities, and also the characteristics of the thinking processes from the aspects of similarity. As a result, this study indicates that analogical mapping articulation activity could be helpful when the students solved similar word problems, although some of them gained correct answers through pseudo-analytic thinking. Not to have them use pseudo-analytic thinking, it might be necessary to help them recognize superficial similarity and difference among the problems and construct structural similarity to know the principle of solution associated with the problematic situations.

• Journal of the Korean School Mathematics Society
• /
• v.16 no.3
• /
• pp.519-538
• /
• 2013

The purpose of this study, for each section of high school mathematics I help to verify the utillization of instructional class in the formation of students' academic achievement and mathematical beliefs. For this purpose we construct an experimental class and then analyse the students' change in those aspects after applying concept learning hand-out and colleage feedback on their works those students are in the experimental class. As a result of the experiment, we find that concept learning hand-out activity and colleague feedback made some significant changes on the students achievement in mathematics and mathematical beliefs. Therefore, in this study I want to solve the concrete problems are as follows. First, utilizing the concepts of mathematics tutoring lessons to improve students' academic achievement is it effective? Second, utilizing the concepts of mathematics tutoring classes does have a positive impact on students' mathematical beliefs? Third, utilizing the concepts of mathematics tutoring lessons for students what is the reaction?

• School Mathematics
• /
• v.8 no.1
• /
• pp.45-68
• /
• 2006

Singaporean students have demonstrated their superior mathematical achievement and positive mathematical dispositions. Against this background, this study compared Korean elementary mathematics textbooks with Singaporean counterparts focusing on the geometry and measurement strand. The analysis was conducted in many aspects, including an overall unit structure, the contents to be covered in each grade, and the methods of introducing essential learning themes. The textbooks were also compared and contrasted with regard to the main characteristics of constructing mathematical contents. Whereas Korean textbooks used block teaming, Singaporean textbooks used repeated teaming. The latter also employed the activity of classifying multiple figures as the main method of introducing concepts. Whereas Korean textbooks consist of typical examples of figures, Singaporean counterparts include various examples consistent with the principle of mathematical variability.

• The Mathematical Education
• /
• v.34 no.1
• /
• pp.17-63
• /
• 1995

The exploration of Mathematics-learningmodel on the basis of Cognitive development The purpose of this paper is to sequenctialize Mathematics-learning contents, and to explore teaching-learning model for mathematics, with on the basis of the theory of cognitive development and the period of condservation formation for children. The Specific topics are as follows: (1) Systemizing those theories of cognitive development which are related to Mathematics - learning for children. (2) Organizing a sequence of Mathematics - learning, on the basis of experimental research for the period of conservation formation for children. (3) Comparing the effects of 4 types of teaching - learning model, on the basis of inference activity and operational learning principle. $\circled1$ Induction-operation(IO) $\circled2$ Induction-explanation(IE) $\circled3$ Deduction-operation(DO) $\circled4$ Deduction-explanation(DE) The results of the subjects are as follows: (1) Cognitive development theory and Mathe-matics education. $\circled1$ Congnitive development can be achieved by constant space and Mathematics know-ledge is obtained by the interaction of experience and reason. $\circled2$ The stages of congnitive development for children form a hierarchical system, its function has a continuity and acts orderly. Therefore we need to apply cognitive development for children to teach mathematics systematically and orderly. (2) Sequence of mathematical concepts. $\circled1$ The learning effect of mathematical concepts occurs when this coincides with the period of conservation formation for children. $\circled2$ Mathematics Curriculum of Elementary Schools in Korea matches with the experimental research about the period of Piaget's conservation formation. (3) Exploration of a teaching-learning model for mathematics. $\circled1$ Mathematics learning is to be centered on learning by experience such as observation, operation, experiment and actual measurement. $\circled2$ Mathematical learning has better results in from inductional inference rather than deductional inference, and from operational inference rather than explanatory inference.

• Journal of the Korean School Mathematics Society
• /
• v.1 no.1
• /
• pp.97-109
• /
• 1998

The activities of teaching and learning are to try to reach the lesson object most closely in many ways. Considering that the lesson objects are to get the principle or law of a concept, to acquire the mathematical function, to master it through repeated exercises and to solve mathematical problems, we need many ways to reach such objects. Among the many ways, we can first think of one: the students will learn with curiosity and according to their own ability or advancing level in learning when teachers study and prepare necessary contents enough in advance by using computers, showing the right program to learners' needs. For example, defining definite integral by measuration by parts will help understand measuration by parts well and know the meaning of definite integral correctly, In teaching and learning by the use of this program, the educational effects are expected as follows. 1. It is thought that this program will stimulate the desire for and interest in learning because it used animation and acoustic effect. And voluntary and positive thinking activity will be shown. 2. It is expected that the conviction of formulas will be got and the concept of definite integral will be remembered firmly by showing how to measure the width of circle with the use of measuration by parts in various other ways instead of the ways used at present. 3. It is expected that students will feel the pleasure of mathematics in life when they recognize mathematical facts scattered really in our life rather than mathematical difficulties. 4. It is expected that the repeated review of programs already designed will remove the fear of incomplete parts and help review again. 5. It is certain that positive attitude in life will be formed as teacher-centered class is changed into learner-centered class and unwilling study is changed into self-oriented study. However, I think this program is insufficient for humanbeing-centered education given directly in contact with students on the ground of the variety in mathematical education and applications in many ways. And mechanically inhuman computers leave some solutions to be desired

• School Mathematics
• /
• v.18 no.3
• /
• pp.571-587
• /
• 2016

Nam(2008a) suggested that the role of teacher for helping students to learn mathematical structures should be the manifestor of tacit knowledge. But there have been lack of researches on embodying the manifestation of tacit knowledge. This study embodies the manifestation of tacit knowledge by showing that exemplification is one way of manifestation of tacit knowledge in terms of goal, contents, and method. First, the goal of the manifestation of tacit knowledge through exemplification is helping students to learn mathematical structures. Second, the manifestation of tacit knowledge through exemplification intends to teach students mathematical structures in the tacit dimension by perceiving invariance in the midst of change. Third, the manifestation of tacit knowledge through exemplification intends to teach students mathematical structures in the tacit dimension by constructing explicit knowledge creatively, reflection on constructive activity and social interaction. In conclusion, exemplification could be seen one way of embodying the manifestation of tacit knowledge in terms of goal, contents, and method.

• Communications of Mathematical Education
• /
• v.35 no.1
• /
• pp.37-74
• /
• 2021

In this study, the student participation-centered class, which takes students' mathematical thinking as an important issues of the class, is named as student thinking-based math class. The main characteristics of student thinking-based mathematics classes were examined in terms of tasks, students engagement, and the role of teachers. According to the results of analysis of class cases practiced by five secondary mathematics teachers, student thinking-based mathematics classes were conducted in the intersection of the rich mathematics tasks, students' cognitive and social engagement, and the role of teachers' formative facilitator. The results of this study showed that the student's thinking is more important than the activity itself. And it is meaningful in that it examines the influence of the dynamic interaction of the three components of the mathematics class on the direction and outcome of the class.

• The Mathematical Education
• /
• v.60 no.3
• /
• pp.341-362
• /
• 2021

The purpose of this study is to explore the qualitative characteristics of pre-service teachers' motivation while they are participating in group activities for developing mathematical essay assessment problem and revising it. For this purpose, we analyzed individual factors about group learning activities as well as contextual factors about practical competency (in developing and revising mathematical essay assessment problem through collecting data of student responses to the problem). As results of data analyses, autonomy, among individual factors regarding group learning activities, was one of the main characteristics in attainment value, utility value, and intrinsic value, whereas task, authority, and grouping, among contextual factors regarding practical competency, appeared to have a positive impact on task value. These results suggest how to think of specific ideas and articulate them in designing a curriculum to develop student-evaluation expertise for pre-service teachers.