• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.715-731
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• 2005

There are five contexts of division algorithm of fractions such as measurement division, determination of a unit rate, reduction of the quantities in the same measure, division as the inverse of multiplication and analogy with multiplication algorithm of fractions. The division algorithm, however, should be taught by 'dividing by using reciprocals' via 'measurement division' because dividing a fraction by a fraction results in 'multiplying the dividend by the reciprocal of the divisor'. If a fraction is divided by a large fraction, then we can teach the division algorithm of fractions by analogy with 'dividing by using reciprocals'. To achieve the teaching-learning methods above in elementary school, it is essential for children to use the maniplatives. As Piaget has suggested, Cuisenaire color rods is the most efficient maniplative for teaching fractions. The instruction, therefore, of division algorithm of fractions should be focused on 'dividing by using reciprocals' via 'measurement division' using Cuisenaire color rods through analogy if necessary.

• Journal of Educational Research in Mathematics
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• v.16 no.2
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• pp.95-113
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• 2006

The study tries to differentiate the levels of mathematical reasoning from inductive reasoning to formal reasoning for teaching gradually. Because the formal point of view without the relation to objects has limitations in the creation of a new knowledge, our mathematics education needs consider the such characteristics. We propose an intuitive level of proof related in concrete operations and perceptual experiences as an intermediating step between inductive and formal reasoning. The key activity of the intuitive level is having insight on the generality of reasoning. The details of the process should pursuit the direction for going away from objects and near to formal reasoning. We need teach the mathematical reasoning gradually according to the appropriate level of reasoning more differentiated.

• English Language & Literature Teaching
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• v.15 no.3
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• pp.223-248
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• 2009

Previous research on the impact of pretask planning on subsequent second language (L2) production has mainly focused on the linguistic quality of planned production, while learners' thought processes and perceptions about planning have been relatively less explored. In addition, few previous planning studies have examined whether the learners did in fact follow the pretask instructions, thus leaving the role of pretask instructions in the planning process unexplored. Therefore, the present study investigated whether pretask instructions affect attentional allocation as well as what cognitive operations planners engage in and what their perceptions about planning are. Forty-three Korean EFL classroom learners were divided into two groups: before having time to plan for an oral story retelling task, one group received general instructions, while the other group received specific instructions. The findings, based on both quantitative and qualitative data analysis, indicated no large effects of pretask instructions on the planners' attentional focus. Rather, the qualitative analysis identified a number of other factors that influenced learners' decision making as well as their general processes and approaches to planning and their perceptions about planning and thinking aloud while planning. Implications for L2 teaching as well as limitations of the study are discussed.

• Research in Mathematical Education
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• v.5 no.2
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• pp.107-118
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• 2001

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.

• Journal of Digital Convergence
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• v.12 no.12
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• pp.507-512
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• 2014

Because it is impossible to form a culture. To correctly read the code unless the consumer is considering skater that can be shared in the emotion of the characters and the consumer culture that supply. May be possible to force the active dissemination of education shall ceramic crafts culture. We need the ceramics craft culture in this sense also once again confirmed the importance of education and redevelopment. The workshop enabled to the Ceramic Study presented based on the importance of education in workshop operations Activation is required in order to plan the education and above all a culture of catheter positioned in the area of contemporary craft. Such as teaching methods and ways to activate.

• Journal of The Korean Association For Science Education
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• v.9 no.2
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• pp.1-12
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• 1989

Secondary schools in Korea have been faced with with several critical problems with regard to science education, with one of the most fundament problems being associated with secondary school science teacher education and in-service training. Therefore this study, which is a part of project for the improvement of science teaching in secondary schools, had its purposes to inquire into the following are as. ${\circ}$systems for science teacher education ${\circ}$curricular contents and its operations of science teacher education ${\circ}$systems for in-service teacher training and its operations ${\circ}$analyses of problems associated with science teacher education and in-service teacher training. In order to fulfill these objectives this study used methods of literature review, survey, and interviews. The major findings are as follow: ${\circ}$curricular hours of subject matter education are not sufficient for competent science teacher. opportunities for self-training in major are as are seldom given to the most of the science teachers ${\circ}$systematic organization for in-service traings is in urgert need. In addition to there-findings strategies for improving science teacher education and in-service trainings are suggested in this paper.

• Journal of Korea Society of Industrial Information Systems
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• v.5 no.2
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• pp.70-77
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• 2000

The purpose of this research was to investigate instructors perceptions on the use of quantitative educational software packages in management science and operations research (MS/OR) related courses. The investigation was conducted using a questionnaire survey of MS/OR instructors at US universities. The authors found that instructors were satisfied in the use of existing MS/OR educational software packages to effectively support their teaching in terms of computational speed, number of models offered, size of problems, and accuracy of algorithms. However, many instructors were not satisfied with the tutoring capability of packages such as 'what-if'analysis, graphics availability, explanation capacity, readability of output, and ease of use.

• School Mathematics
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• v.9 no.3
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• pp.427-445
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• 2007

This study presents the results of a case study that investigated a seventh grader's fractional reasoning related to multiplicative reasoning. In addition, by employing domain analysis and taxonomic analysis for analyzing qualitative data, I show how a qualitative methodology was used for the data collected by teaching experiment methodology. The study identifies three distinct issues that emerged as the student engaged in solving fraction problems: a view of fractions as operations vs. results, the issue of units, and mixed numbers vs. improper fractions. These three issues have instructional implications in that each of them is critical in developing multiplicative reasoning and investigating how they relate to each other suggests a way to improve multiplicative reasoning in fractional contexts.

• Journal of the Korea Society of Computer and Information
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• v.19 no.12
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• pp.369-384
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• 2014

Since the start of gifted education in 2002, educational support system has now been established, and sufficient growth in quantitative aspects has been achieved in Korea. On the other hand, they report that there are insufficient points in terms of education quality. In other words, most of the gifted education simply expands knowledge by prior-learning. In order to improve the quality of gifted education, they should enhance critical-thinking and creativity able to apply interdisciplinary principles or phenomena for solving problems. In this study, we designed and developed a convergent teaching-learning materials based on the concept of integrated education, which explore the process that basic logic operations such as AND, OR, XOR do the role of computer cells. A survey result showed that student satisfaction(usefulness, understanding, interest) of the materials is significantly higher than that of other traditional learning topics, and the design intent was met.

• Education of Primary School Mathematics
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• v.21 no.4
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• pp.415-430
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• 2018

The purpose of this study was to get reflections on teaching numbers and operations for special education from analyzing lessons for counting, addition and subtraction of natural number with counting board for students with autism. In order to attain these purposes, this study analyzed the lessons for counting, addition and subtraction of natural number to students with autism in 4th and 6th graders in special class at regular elementary school using counting board for one hour per week for 30 weeks. According to the analysis, counting board that reveals the structure of numbers becomes an effective mathematical materials, and using the counting strategy and computation strategy can be an effective method of teaching, and it is possible to teach mathematical communication to students with autism. From this result, this study presented suggestions for teaching counting, addition and subtraction for students with disabilities.