• School Mathematics
• /
• v.13 no.3
• /
• pp.423-446
• /
• 2011

In school mathematics, concepts of definite integral and integration by substitution have mathematical connection with introduction of probability density function, expectation of continuous random variable, and standardization of normal distribution. However, we have difficulty in finding mathematical connection between integration and continuous probability distribution in the curriculum manual, 13 kinds of 'Basic Calculus and Statistics' and 10 kinds of 'Integration and Statistics' authorized textbooks, and activity books applied to the revised curriculum. Therefore, the purpose of this study is to provide a teaching method connected with mathematical concepts of integral in regard to three concepts in continuous probability distribution chapter-introduction of probability density function, expectation of continuous random variable, and standardization of normal distribution. To find mathematical connection between these three concepts and integral, we analyze a survey of student, the revised curriculum manual, authorized textbooks, and activity books as well as 13 domestic and 22 international statistics (or probability) books. Developed teaching method was applied to actual classes after discussion with a professional group. Through these steps, we propose the result by making suggestions to revise curriculum or change the contents of textbook.

• Journal of Educational Research in Mathematics
• /
• v.22 no.2
• /
• pp.261-275
• /
• 2012

There are some geometry achievement standards presented indistinctly in middle school mathematics curriculum revised in 2011. In this study, indistinctness of some geometric topics presented indistinctly such as symbol $\overline{AB}{\perp}\overline{CD}$ simple construction, properties of congruent plane figures, solid of revolution, determination condition of the triangle, justification, center of similarity, position of similarity, middle point connection theorem in triangle, Pythagorean theorem, properties of inscribed angle are discussed. The following three agenda is suggested as conclusions for the development of next middle school mathematics curriculum. First is a resolving unclarity of curriculum. Second is an issuing an authoritative commentary for mathematics curriculum. Third is a developing curriculum based on the accumulation of sufficient researches.

• Journal of The Korean Association For Science Education
• /
• v.24 no.3
• /
• pp.468-480
• /
• 2004

It has been criticized that there are discrepancy between 'general statements' of the curriculum and subject-matter curricula. The possible reasons for this are as follows: The developers of the general statements were educational curriculum specialists. These specialists were not good enough to develop general statements and guidelines of subject matter curricula reflecting the characteristics of science contents, to examine developed science curriculum, and to give feedback to science curriculum developers. Under the present curriculum developing system where curriculum is developed in ten months or less by the research team commissioned unpredictably and imminently, it might be difficult to develop valid and precise science curriculum reflecting the purport of the general statements and teachers' needs. The inadequacy of these curriculum development processes resulted in (1) inconsistent statement about the school year to be applied to differentiated curriculum, (2) abstract and ambiguous stating about the characteristics, teaching-learning and assessment guidelines of enrichment activities, and (3) failure to reduce science contents to a reasonable level. Therefore curriculum development centers should be designated in advance to do basic research at ordinary times, and organized into a cooperative system among them. Two years or more of developing time and wider participation of scientists are recommended to develop more valid and precise science curriculum. In addition, commentaries on science curriculum should be published before textbook writing begins.

• Journal of Korean Home Economics Education Association
• /
• v.27 no.3
• /
• pp.79-97
• /
• 2015

Curriculum may be defined as everything students learn at school or the specific plan of a subject that students are supposed to learn. The purpose and goals of the curriculum or who is in charge of developing the curriculum may differ by country. This study aimed at comparing the mechanisms in which the Home Economics curriculum is implemented in Korea and the Unite States at different levels. Considering that Korean government now supports increased autonomy of schools, allowing them to execute curricula according to their educational environments, it is meaningful that the advantages and disadvantages of the implementation mechanisms of two countries are explored. Specifically, middle schools in a City of Kyung-gi Province in South Korea and three states(Wisconsin, Ohio, and Washington states) in the United States are examined. The curriculum documents at different levels as well as study plans used by actual teachers are compared for this purpose. In case of South Korea, the nation state is in charge of curriculum development and the curriculum document defines the educational contents to detail in order to provide standardized learning experience to students. This type of closely controlled system warrants standardized educational contents and thus allows nation-wide assessment using standardized measures. On the other hand, it is difficult to accommodate diversities among students in terms of aptitudes and learning styles, and also limits creativity enhancement or integrative approach to teaching and learning. In comparison, curriculum in the United States is rather loosely defined, and more autonomy is granted to schools and teachers. Each of these two different systems may have advantages and disadvantages of their own. The findings of this study is expected to provide implications to curriculum development as well as to the development of framework and guidelines to the curriculum implementation.

• Journal of Korean Home Economics Education Association
• /
• v.21 no.2
• /
• pp.61-81
• /
• 2009

The purpose of this study was to develop Graphic Organizer as Advance Organizer. The 'Menu Planning and Food Selection' unit of second grade middle school Technology & Home Economics(revised curriculum of 2007) was selected as the study subject. The course of abstracting an essential education element got done $3^{rd}$ times. It abstracted the first essential education elements to analyze the presented sentence or a concept with the educational contents factor which is on the achievement standard of the area of dietary life from 5grade to 10grade in curriculum revised in 2007. The first 4 essential education elements selected were superiority and cultural value of Korean traditional meal, preparing a balanced diet for the family, food purchasing, and food selection based on the various information'. It abstracted second essential education elements that it concretized the first content factor on a unit of this study and solved overlapping when it was happened at the first contents factor and made connecting with between grade. The $3^{rd}$ essential education elements abstracted to classify the contents which abstracted essential education elements in second. And, it developed Graphic Organizer on a unit of 'Menu Planning and Food Selection' in eight-grade Technology & Home Economics based on the abstracted essential education elements. Graphic Organizer was developed in according to order of the way for making on a Concept Map of Heo In Sook(2000). Developed Graphic Organizer is all of 10 which are 'nutrition value on food of the season', 'harmony and combination of food', 'natural dressing and a garnish', 'the recipe', 'fermented food', 'a traditional instrument and a vessel', 'actor of food harm', 'present food', 'food quality certification' and 'selecting food with food information'.

• Journal of Digital Convergence
• /
• v.14 no.8
• /
• pp.461-468
• /
• 2016

Illustration, which is shown in the textbook for educational purpose is used to explain basic educational theory, rather than carrying meaning itself. It has proper educational value when presented appropriately according to the process of knowledge acquirement. This research organized new analyzing criterion for the frame and content analysis subjected on 4 sanitation textbooks of middle school, moreover looked into actual situation by convergent analysis. This is for political suggestion that is helpful to further textbook development; by understanding improvement point required in reaching educational purpose presented in health education course manual. Results are as following. First, in the aspect of frame, diagrams with proper function to explain principle of health and sanitary activities should be more frequently suggested. Second in the aspect of content, illustrations for simple data providing or for decoration should be reduced while illustrations suggesting experimental results should be added, to reorganize health textbook according to the purpose of health education course.

• Journal of Educational Research in Mathematics
• /
• v.22 no.4
• /
• pp.445-458
• /
• 2012

Current textbooks may provide students and teachers with three improper notions related to the quotient and the remainder in division for decimal numbers as in the following. First, only the calculated results in (natural numbers)${\div}$(natural numbers) is the quotient. Second, when the quotient and the remainder are obtained in division for decimal numbers, the quotient is natural number and the remainder is unique. Third, only when the quotient cannot be divided exactly, the quotient can be rounded off. These can affect students and teachers on their notions of division for decimal numbers, so improvements are needed for to break it. For these improvements, the following measures are required. First, in the curriculum guidebook, the meaning of the quotient and the remainder in division for decimal numbers should be presented clearly, for preventing the possibility of the construction of such improper notions. Second, examples, problems, and the like should be presented in the textbooks enough to break such improper notions. Third, the didactical intention should be presented clearly with respect to the quotient and the remainder in division for decimal numbers in teacher's manual.

• Journal of the Korean School Mathematics Society
• /
• v.16 no.4
• /
• pp.841-862
• /
• 2013

This study analyzed issues in the mathematics curriculum concerning the cognitive development of the vector and inner product concepts in the light of Tall's and Watson's research(Tall, 2004a; Tall, 2004b; Watson et al., 2003; Watson, 2002). Some suggestions in teaching the vector and inner product concepts were elaborated in the terms of these analyses. First, the position vector needs to be represented by an arrow on the coordinate system in order to introduce the component form of a vector represented by a directed line segment. Second, proofs of the vector operation law should be carried out by symbolic manipulations based on the algebraic concept of a vector in the symbolic world. Third, it is appropriate that the inner product is defined as $\vec{a}{\cdot}\vec{b}=a_1b_1+a_2b_2$ (when, $\vec{a}=(a_1,a_2)$, $\vec{b}=(b_1,b_2)$) when it comes to considering the meaning of the inner product relevant to vector space in the formal world. Cognitive growth of concepts of the vector and inner product can be properly induced through revising explanation methods about the concepts in the curriculum in the basis of the above suggestions.

• Communications for Statistical Applications and Methods
• /
• v.15 no.2
• /
• pp.245-254
• /
• 2008

According to the $7^{th}$ reform of high school education curriculum, contents on probability and statistics in mathematics of high school curriculum have been expanded compared to the previous curriculum. Thus if the curriculum contains the contents to achieve the goals for probability and statistics, more efficient education on statistics is expected to meet the needs of information age. In this thesis, we studied through network analysis if contents on probability and statistics in mathematics of high school curriculum are composed to achieve the goals. We reviewed contents on probability and statistics in mathematics of the $7^{th}$ reform of high school curriculum whether they are conformed the purpose and direction of the reform or not. As a result, the concept of probability distribution and statistical estimation with a random variable was described clearly. But, census and sample survey were not connected with other items. In a part, there were expressional mistakes.

• Korean Journal of Child Education & Care
• /
• v.18 no.3
• /
• pp.159-178
• /
• 2018

Objective: The purpose of this study was to understand the characteristics of dietary education in South Korea and Japan, and find directions for dietary education by comparing the contents of the two countries' dietary education in their national child-care curriculums and evaluations. Methods: To this end, a qualitative content analysis was conducted on the guidebooks for the Standard Child-care Curriculum and the Accreditation Index for Child-care Center in the case of South Korea, and the handbook for the Child-care Guideline and the Third Party Evaluation in the case of Japan. Results: The findings of this study were as follows: First, South Korea showed differences in the focus of child-care curriculums and evaluations. The contents about proper eating such as nutrition and table manners comprised a high portion of the curriculums, whereas the contents about cleanness and hygiene accounted for a high portion of the evaluations. In the case of Japan, its national child-care curriculums and evaluations consistently emphasized contents related to enjoying eating oneself, and suggested various methods for this. Second, in terms of the two countries' approaches to dietary education, South Korea focused on food-related knowledge, whereas Japan mainly created the contents of dietary education based on daily experiences. Conclusion/Implications: The above results suggest a direction to improve the currently publicized dietary guidance problem and a need for consistent the national child care curriculum and evaluation indicators in South Korea to emphasize the importance of joyful eating.