• East Asian mathematical journal
• /
• v.31 no.2
• /
• pp.211-244
• /
• 2015

The arithmetic operation have double-sided character. One is calculation as a process, the other is understanding in results as an outcome of the operation. We harbored suspicion on students' misunderstanding in an outcome of the operation, because the curriculum has focused on the calculation, as a process of arithmetic operation. This study starts with the presentation of this problem, we tried to find the recognition ability and character in the arithmetic operation. We researched the recognition ability for 7th grade 27 students who have enough experience in arithmetic operation when studying in elementary school. And we had an interview with 3students individually, that has an error in understanding in results of arithmetic operation but has no error in calculation. We focused on 3students' detailed appearance of the ability to understand in results of arithmetic operation and analysed the changing appearance after recommending unit record using operation expression. As a result, we could find the abily to underatanding in results of arithmetic operation and applicability to recommend unit record using operation expression. Through these results, we suggested educational implications in understanding in results of arithmetic operation.

• Journal of Educational Research in Mathematics
• /
• v.27 no.2
• /
• pp.249-267
• /
• 2017

The unit of multiplication in the mathematics textbook for third graders deals with two-digit number multiplied by one-digit number. Students tend to perform multiplication without necessarily understanding the principle behind the calculation. Against this background, we designed the unit in a way for students to explore the principle of multiplication with cuisenaire rods and array models. The results of this study showed that most students were able to represent the process of multiplication with both cuisenaire rods and array models and to connect such a process with multiplicative expressions. More importantly, the associative property of multiplication and the distributive property of multiplication over addition were meaningfully used in the process of writing expressions. To be sure, some students at first had difficulties in representing the process of multiplication but overcame such difficulties through the whole-class discussion. This study is expected to suggest implications for how to teach multiplication on the basis of the properties of the operation with appropriate instructional tools.

• Journal of the Korea Society of Computer and Information
• /
• v.25 no.11
• /
• pp.277-286
• /
• 2020

In this paper, we propose a new educational approach to help learners form concepts by identifying the properties of programming concepts targeting a group of experts in programming education. Therefore, we confirmed the typical properties of concepts by programming education experts for programming learning elements through conceptual metaphor analysis, which is a qualitative research method, and confirmed the validity through the delphi method. As a result of this study, we identified 17 typical properties of programming concepts that learners should form in programming education. The conclusions of this study are that need to compose the educational content more specifically for the conceptualization of learners' programming as follows: 1)the concept of a variable is to understand how to store data, how to set a name, what an address has, how to change a value, various types of variables, and the meaning of the size of a variable, 2)the concept of operator is to understand how to operate the four rules, how to deal with it logically, how to connect according to priority, meaning of operation symbols, and how to compare, 3)the concept of the control structure is to understand how to control the execution flow, how to make a logical judgment, how to set an execution rule, meaning of sequential execution, and how to repeat executing.

• School Mathematics
• /
• v.16 no.2
• /
• pp.237-257
• /
• 2014

The purpose of this study is to investigate the academic achievement characteristics in terms of proficiency levels through the in-depth analysis of mathematics test items and achievement standards of the National Assessment of Educational Achievement(NAEA) from 2010 to 2012, and to provide suggestions for teaching and assessing mathematics in middle schools. The results showed that 'Advanced level' students could fully understand the concept of mathematical terms and symbols as well as various mathematical properties presented in the national curriculum. However, 'Proficient level' students tended to feel difficult to apply linear function, properties of a plane figure, and a solid figure, while 'Basic level' students seemed to have trouble solving mathematical problems in almost all areas. Thus, it is necessary to identify the mathematical misconceptions that students have and to strengthen teaching, particularly, the areas of number and operation.

• Journal of the Korean School Mathematics Society
• /
• v.12 no.1
• /
• pp.131-149
• /
• 2009

A study on comprehension level of mathematical basic knowledge(MBK) of gifted students in middle school. The interest in mathematics gifted education is very high. However, in reality, there has been a shortage of the analysis of students' achievement result since mathematics gifted education began through the institute of gifted education in the education office in 2003. On this study, MBK is subdivided into definition, property and procedure and then examination questions arc developed on the basis of national level achievement standard. With these examination tools, total inspection was conducted in on metropolitan city and the result was analyzed. First, in a basic definition, relatively low achievement result was seen except the basic concept related operation. Second, in a basic property, very low achievement result was seen in the questions of basic property without basic definition and as a whole, the result was similar with the basic definition. Third, in basic procedure, the achievement result was very remarkable. This result shows we need tn increase the comprehension ability of MBK. To do this, the systematic alternative development of the questions of selecting gifted students and the contents of gifted education is required. This study proposes the meaningful implication to the selection question development related to the MBK and the improvement of gifted education contents. And it is expected to provide the positive change for mathematics gifted education.

• 한국공간정보시스템학회:학술대회논문집
• /
• 2005.05a
• /
• pp.189-194
• /
• 2005

현재 국가에서는 하천지도전산화사업 등의 성과물인 하천관련 DB의 활용 극대화를 위해 하천주제도구축사업을 시행중에 있다. 그 결과 요구도 높은 하천주제도의 항목이 결정되었으며, 이를 활용하기 위하여 GIS를 이용한 효율적인 하천주제도 관리 방법의 필요성이 증대되고 있다. 따라서 본 연구에서는 2002년 한국수자원공사의 '하천주제도사업계획수립'에서 정립한 하천주제도 데이터 모델을 활용하여 하천주제도의 효율적인 관리를 위하여 GIS를 활용한 시범 시스템을 개발하였다. 개발방법으로는 설계한 데이터모델을 적용하고, 하천관리지리정보시스템(RIMGIS) 및 향후 유통측면을 고려하였다. 이에 앞서 연구대상지역을 선정하였고, 모델을 기반으로 한 DB의 위하여 기 구축된 DB의 효과적 활용 방안을 제시하였다. 개발된 하천주제도 관리시스템은 하천주제도에 관련된 도형자료를 구축하고, 그에 대한 속성자료를 연계한 시스템 제작을 의미한다. 이를 위해 세부적으로 정의된 주제도를 기 구축된 RIMGIS 도형자료 및 속성자료, 하천정비기본계획, 수자원공사자료, 환경부자료, 건교부 자료, 문화관광부자료 등을 활용하여 하천주제도 관리시스템을 제작하였다. 아울러 하천주제도 구축에 앞서 설계한 하천주제도의 보델을 통하여 하천과 관련된 데이터와 수리 수문 입력변수를 산정하기 위한 전처리 및 후처리 과정이 동일 시스템 내에서 통합처리가 가능할 것이며, 하천에 대한 동적 모델링을 위한 기초 자료의 제공도 가능하리라 본다. 나아가 하천주제도 구축시 간단한 연산기능에서부터 다양한 응용정보를 요구하는 주제도에 대한 효율적인 구축 방안을 제공할 수 있을 것으로 사료된다. 또한 관리시스템을 활용하여 하천주제도의 관리 및 사용이 보다 효율적이며, 하천업무 담당자뿐만 아니라 일반인들의 이해를 돕고, 연구의 성과를 향상시킬 수 있다. 더욱이 이러한 하천주제도 관리시스템의 개발은 타 분야에 구축된 방대한양의 하천 관련 GIS데이터 등의 자료를 연계하여 기 구축데이터의 활용도를 제고할 수 있다.

• Journal of the Korean School Mathematics Society
• /
• v.13 no.3
• /
• pp.345-356
• /
• 2010

Variables and expressions are essential for doing mathematics. Especially abbreviations of the multiplication sign ${\times}$ and the division sign ${\div}$ are current rules that we usually follow. In this paper, we devised a Card-Game for exercising abbreviations of the multiplication sign ${\times}$ and the division sign ${\div}$ in calculating expressions, designed a teaching unit for the calculation of expressions using the Card-Game in the variables and expressions strand, and discussed the implications of using the Card-Game for motivating students, cooperative learning, diagnosis and correction of errors, and so on.

• Journal of Elementary Mathematics Education in Korea
• /
• v.6 no.1
• /
• pp.23-40
• /
• 2002

Historically, the use of algorithms has been emphasized in the mathematics curriculum at the elementary school mathematics. The current reform movement in our country are seemed to emphasize the importance of algorithms in favor of problem-solving approaches, the conceptualization of mathematical processes and applications of mathematics in real world situations. Recently, children may come to school with a fairly well-developed attitude about mathematics and mathematical ideas. That is, they do not come to school and to learning mathematics with a clean slate. Because they have already formed some partial mathematical concepts in a wide variety of contexts. Many kindergarten children have attended pre-school programs where they played with blocks, made patterns, and started adding and subtracting. It seems that there are psychological change attitudes of the children in upper grades toward learning mathematics. In our elementary school mathematics, almost every student are still math anxious or have developed math anxiety because of paper-pencil test. In these views, this paper is devoted to introduce and apply to second grade students in ND-elementary school in Taegu City the new method for learning addition and subtraction so called ‘Mrs Weill's Hill’, which is believed as a suitable method for children with mathematical teaming disabilities and Math anxiety.

• Education of Primary School Mathematics
• /
• v.25 no.4
• /
• pp.297-312
• /
• 2022

Word problems can lead learners to more meaningfully learn mathematics by providing learners with various problem-solving experiences and guiding them to apply mathematical knowledge to the context. This study attempted to provide implications for the textbook writing and teaching and learning process by examining the word problem of elementary mathematics textbooks from the perspective of practical context. The word problem of elementary mathematics textbooks was examined, and elementary mathematics textbooks in the United States and Finland were referenced to find specific alternatives. As a result, when setting an unnatural context or subject to the word problem in elementary mathematics textbooks, artificial numbers were inserted or verbal expressions and illustrations were presented unclearly. In this case, it may be difficult for learners to recognize the context of the word problem as separate from real life or to solve the problem by understanding the content required by the word problem. In the future, it is necessary to organize various types of word problems in practical contexts, such as setting up situations in consideration of learners in textbooks, actively using illustrations and diagrams, and organizing verbal expressions and illustrations more clearly.

• Journal of KIISE:Databases
• /
• v.33 no.1
• /
• pp.102-116
• /
• 2006

Electronic catalogs (or e-catalogs) hold information about the goods and services offered or requested by the participants, and consequently, form the basis of an e-commerce transaction. Catalog management is complicated by a number of factors and product classification is at the core of these issues. Classification hierarchy is used for spend analysis, custom3 regulation, and product identification. Classification is the foundation on which product databases are designed, and plays a central role in almost all aspects of management and use of product information. However, product classification has received little formal treatment in terms of underlying model, operations, and semantics. We believe that the lack of a logical model for classification Introduces a number of problems not only for the classification itself but also for the product database in general. It needs to meet diverse user views to support efficient and convenient use of product information. It needs to be changed and evolved very often without breaking consistency in the cases of introduction of new products, extinction of existing products, class reorganization, and class specialization. It also needs to be merged and mapped with other classification schemes without information loss when B2B transactions occur. For these requirements, a classification scheme should be so dynamic that it takes in them within right time and cost. The existing classification schemes widely used today such as UNSPSC and eClass, however, have a lot of limitations to meet these requirements for dynamic features of classification. In this paper, we try to understand what it means to classify products and present how best to represent classification schemes so as to capture the semantics behind the classifications and facilitate mappings between them. Product information implies a plenty of semantics such as class attributes like material, time, place, etc., and integrity constraints. In this paper, we analyze the dynamic features of product databases and the limitation of existing code based classification schemes. And describe the semantic classification model, which satisfies the requirements for dynamic features oi product databases. It provides a means to explicitly and formally express more semantics for product classes and organizes class relationships into a graph. We believe the model proposed in this paper satisfies the requirements and challenges that have been raised by previous works.