The purpose of this study is to analyze elementary students' understanding the relationship between perimeter and area in geometric figures. In this study, the questionaries were used. In the survey, the subjects were elementary school students in In-cheon city. They were 86 students of the fifth grade, 86 of the sixth. They were asked to solve the problems which was designed by the researcher and to describe the reasons why they answered like that. Study findings are as following; Students have misbelief about the concept of the relationship between perimeter and area in geometric figures. Therefore, 1 propose the method fur teaching about the relationship between perimeter and area in geometric figures. That is teaching via problem solving.. In teaching via problem solving, problems are valued not only as a purpose fur learning mathematics but also a primary means of doing so. For example, teachers give the problem relating the concepts of area and perimeter using a set of twenty-four square tiles. Students are challenged to determine the number of small tiles needed to make rectangle tables. Using this, students can recognize the concept of the relationship between perimeter and area in geometric figures.
Journal of the Korean association of regional geographers
/
v.7
no.1
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pp.51-66
/
2001
The curriculum of integrated social studies is not conceptually established, but various forms pursuing so-called perfect integrated subject have appeared from elementary school to high school. But we cannot find out desirable integration in the elementary school though the apparent goal is to integrate all kinds of social concepts into one unit. The current method of integration has some problems over advantages people initially expected by integration. It is problematic in that students learn fragmental knowledges of geography without capturing the whole geographical concept structure or obtaining their own geographical viewpoint. Therefore, we purpose to reinterpret integration of social studies and reorganize the current textbook into the right direction under the assumption that simple mixture of knowledges is far from our goal of true integration. For this purpose, we suggest a new method for social studies as an integrated subject. Instead of providing knowledges unrelated to each other into one bundle, it helps students to see the real world in his own knowledge framework equipped with geographical viewpoint. The text we claim will show students that geography consists of three key concepts: physical environment, man and environment, and spatial structure. With this text, they will have an easy access to the relationships between key concepts and details, and between geographical concepts and similar concepts from other disciplines. The proposal contributes to both upcoming textbook development and classroom teaching by eliminating problems in the current social studies teaching.
Mathematics subject of the seventh national curriculum in Korea, which has been effective since 2000, strongly encourages the use of calculators and computers to help children gain a better understanding of basic mathematical concepts and develop creative thinking and problem-solving skills without spending too much time and effort on making mechanical computations. Despite the recommendation by the national curriculum, however, only a small segment of elementary school teachers have been using calculators because of the fear that children\\`s dependence on calculators might bring about negative consequences. As a result, little research has been conducted in this area as well. This study has been conducted on the assumption that calculators have the potential for being a useful instructional tool in certain areas of elementary school mathematics education. To investigate the usefulness of calculators, a review was made of the scanty literature in the area. The literature review indicated that calculators are effective when they are used for the following purposes: understanding concepts and properties in numbers and operations, deducing mathematical rules, and solving problems. In view of the available research finding, we will give some concrete learning and teaching models of such uses of calculators. The teaching-learning models are organized around three categories: concept formation, discovery of principles and rules, and problem solving. Such organization is intended to help teachers use the models with ease.
This study tried to analyze the problems by critically examining how the chance is taught in relation to the concept of chance and randomness in the Korean elementary school mathematics curriculum. To this end, the concepts of chance and randomness were first examined, and problems were presented in based on this by the literature analysis on mathematics curriculum material and textbooks for elementary school in Korea. As a result, there was a lack of experience in reasoning based on data, and randomness instruction was not performed properly. In addition, as the teaching of the sample space was omitted, contradictory materials were being used. Moreover, it was pointed out that the teaching of chance is focused on a specific grade level. For the improvement of the teaching of chance, a teaching of the probability experiment and the sample space were mainly suggested, and it was also suggested that the contents of the data area be adjusted for the composition focused on a specific grade.
The Journal of Korean Academic Society of Nursing Education
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v.11
no.2
/
pp.287-297
/
2005
Purpose: This study was to develop teaching-learning lesson plans to provide systematic health education materials to school health educators in middle schools. Method: The concepts of health promotion were redefined in the significance of health promotion in schools were emphasized, and the health problems of middle school students were identified through the literature review of previous studies. The preceding studies on the curriculum development of health education were examined and analyzed. Result: The contents of health education were provided by the learning level of middle school students. The selected contents were composed of total 9 units. The units were again divided into 34 subunits, each of which includes individual learning purposes. How to execute a program utilizing various teaching media and learning materials and how to assess the learning results of health education were presented as well. Conclusion: This study was aimed at developing a teaching-learning lesson plan for health education virtually available on the school scene, required are the follow-up case studies applying the lesson plan: how effectively the activities for promoting the health of middle school students are changed and how appropriate this health education is for promoting the health of middle school students.
Despite the significance of fraction in elementary mathematics education, it is not easy to teach it meaningfully in connection with real life in Korea. This study aims to investigate and analyze 3rd grade students' understanding on unit fraction concepts and on comparison of unit fractions and to identify the parts which need to be supplemented in relation to unit fraction. For these purposes, I reviewed previous studies and extracted chapters which cover unit fractions in elementary mathematics textbooks based on 2009 revised curriculums and analyzed teaching contexts and visual representations of unit fractions. From this point of view, I constructed a test which consists of three problems based on Chval et al(2013) to investigate students' understanding on unit fraction. To apply this test, I selected forty-one 3rd grade students and examined that students' aspects of understanding on unit fraction. The results were analyzed both qualitatively and quantitatively. In this study, I present the analysis results and provide implications and some didactical suggestions for teaching contexts and visual representations of unit fraction based on the discussion.
This paper details case study vignettes that focus on enhancing the teaching and learning of geometry and measurement in the elementary grades with attention to pedagogical practices for teaching through problem solving with rigor and centering equitable teaching practices. Rigor is a matter of equity and opportunity (Dana Center, 2019). Rigor matters for each and every student and yet research indicates historically disadvantaged and underserved groups have more of an opportunity gap when it comes to rigorous mathematics instruction (NCTM, 2020). Along with providing a conceptual framework that focuses on the importance of equitable instruction, our study unpacks ways teachers can leverage their deep understanding of geometry and measurement learning trajectories to amplify the mathematics through rigorous problems using multiple approaches including learning by doing, challenged-based and mathematical modeling instruction. Through these vignettes, we provide examples of tasks taught through rigorous problem solving approaches that support conceptual teaching and learning of geometry and measurement. Specifically, each of the three vignettes presented includes a task that was implemented in an elementary classroom and a vertically articulated task that engaged teachers in a professional learning workshop. By beginning with elementary tasks to more sophisticated concepts in higher grades, we demonstrate how vertically articulating a deeper understanding of the learning trajectory in geometric thinking can add to the rigor of the mathematics.
The purpose of this study is to investigate the direction and strategy of education for sex role concepts of children on the basis of factor analysis of the present situation in sex role concepts and their formation. Although some maintain that sex role concept of our society has been changing slowly, the traditional sex role concept still dominates and is potentially immanent. the analysis of present condition of our society indicates that the formal as well as informal education are facing with various crucial problems in providing the direction of behavior demanded for carrying out the role. The close analysis of the three theories, psychoanalytic theory , social learning theory, cognitive development theory, lends a support to the laim of the study that cognitive development theory provide an integrated frame of reference for us to see the sex role education analytically Furthermore, the factors which are found to have influences on the formation of sex role have been analyzed in three areas: Family, School and society. 1)The factors in family such as parental behavior of upbringing and their concepts of sex role have a direct relationship with the nature of sex tole concept of children. Therefore, the first step to make children to habe a new type of sex-role conception appropriate for modern societies is to change that of parental conception and attitudes. 2)the quantitative as well as the qualitative aspects of school education showed no exceptional trend from the dominant conception of the society, although school are expected to lead the society as formal education institution rather than just reflect the society. The educational activities and contents such as the conceived goal of education for eoch sex, textbook constitation, teaching behavior and sex-role concepts of teacher are found to be still dominated by the traditional sex-role assumption. 3) The social factors that have direct relationship with children's sex-role formation are social and cultural, which include social milieu, condition of employment, family structure and mass-media. Since family and school do not educate the young in a social vacuum. their educational function of sex-role formation are doomed to be limited and determined by these social factors. Unfortunately, the analysis of present conditions showed the dominance of traditional types of sex-role concepts in all these social factors. The education of sex-role concept for children should be treated as one of the most crucial value problems related with many other important problems, such as direction and patterns of behaviors of each sex, the degree of self-development and capabilities, and consequently human right, equality, humanization and the quality of happiness. Neverthless, the analysis of researches on sex-role education which have been surveyed in this study lead to a conclusion that concerted effort to change the education, formal as well as informal should be provided in every aspect of social life. If the sex role education of the past has aimed at the "feminization"of girls which indoctrinate girls into a limited and fixed role of house wives, the new education in the future should be directed foward "humanization" of both sexes which opens the diversity of roles for both boys and girl on equal levels and provide future possibilities in accordance to their individual capabilities and interests.
In this paper, we deal with the ‘dearithmetization’ of algebra. Historically, the origin of algebra comes from arithmetic. Also school algebra is related to arithmetic in general. However, we have many difficulties in teaching school algebra, and there is many problems for students to learn algebra from elementary arithmetic knowledges. This paper supposed that the solution of these problem may be founded in the ‘dearithmetization’ of algebra. And we supposed that the ‘dearithmetization’ of algebra may be developed by three historical achievements - the completion of symbolic algebra, the principle of permanence of form, and the expansion of number concepts. In order to justify these supposition, we investigate Peacock's ideas, i.e. ‘symbolic algebra’, ‘the principle of permanence of form’, and consider how the integer is introduced in modern mathematics. And we analyze various textbooks, and investigate the ‘dearithmetization’ of school algebra which has been progressed in the three fields - symbolic algebra, the principle of permanence of form, and the expansion of number concepts.
In this paper, we give examples of models we have created for use in university mathematics courses. We explain the concept of linear transformation, investigate the roles of each component of 2 ${\times}$ 2 and 3 ${\times}$ 3 transformation matrices, consider the relation between sound and trigonometry, visualize the Riemann sum, the volume of surfaces of revolution and the area of unit circle. This paper illustrates how one can use Mathematica to visualize abstract mathematical concepts, thus enabling students to understand mathematics problems effectively in class. Development of these kinds of teaching and learning models can stimulate the students' curiosity about mathematics and increase their interest.
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