• Journal for History of Mathematics
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• v.21 no.4
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• pp.153-168
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• 2008

This study investigates how high achievers solve a given mathematical problem. The problem, which comes from 'SanHakIbMun', a Korean mathematics book from eighteenth century, is not used in regular courses of study. It requires students to determine the area of a gnomon given four dimensions(4,14,4,22). The subjects are 84 sixth grade elementary school students who, at the recommendation of his/her school principal, participated in the mathematics competition held by J university. The methods used by these students can be classified into two approaches: numerical and decomposing-reconstructing, which are subdivided into three and six methods respectively. Of special note are a method which assumes algebraic feature, and some methods which appear in the history of eastern mathematics. Based on the result, we may observe a great variance in methods used, despite the fact that nearly half of the subject group used the numerical approach.

• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.37-50
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• 2001

This is the study on the characteristics of advanced students and teaching material in elementary mathematics education. There is a survey on the needs of considering mathematically advanced students in teacher's, students', and social point of view, respectively. We present an exemplary teaching plan and material.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.937-957
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• 2010

The purpose of this study is to discover the features of symbol sense. This study tries to sum up the meaning and elements of symbol sense and the measures to improve them through documents. Also based on this, it analyzes the learning conditions about symbol sense for 6th grade mathematically able students and suggests the method that activates symbol sense in the math of elementary schools. Considering various studies on symbol sense, symbol sense means the exact knowledge and essential understanding in a comprehensive way. Symbol sense is an intuition about symbols that grasps the meaning of symbols, understands the situation of question, and realizes the usefulness of symbols in resolving a process. Considering all other scholars' opinions, this study sums up 5 elements of the symbol sense. (The recognition of needs to introduce symbol, ability to read the meaning of symbols, choice of suitable symbols according to the context, pattern guess through visualization, recognize the role of symbols in other context) This study draws the following conclusions after applying the symbol questionnaires targeting 6th grade mathematically able students : First, although they are math talents, there are some differences in terms of the symbol sense level. Second, 5 elements of the symbol sense are not completely separated. They are rather closely related in terms of mainly the symbol understanding, thereby several elements are combined.

• Communications of Mathematical Education
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• v.10
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• pp.1-18
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• 2000

“초등학교 수학의 주된 목표는 수 감각 개발이 되어야 한다”는 Everybody Counts(NRC, 1989)치 주장에도 불구하고 여전히 초등학교 아동들에게는 적절한 수 감각이 개발되어 있는 것으로 보이지 않는다. 본 연구에서는 수학적 능력이 우수한 영재 아동들과 일반 6학년 아동들에게 개발된 수 감각을 비교해보고, 수 감각의 각 영역별로 분석해 봄으로써 아동들의 수 감각을 개발하기 위한 교수 학습에 시사점을 제공하고자 한다.

• 한국정보교육학회:학술대회논문집
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• 2004.08a
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• pp.253-262
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• 2004

본 논문에서는 영재와 정보과학영재에 대해서 여러 학자들의 의견을 바탕으로 그 개념을 정의하고 수학, 과학 영재아의 특징, 판별사례 및 판별절차를 살펴보고 이것을 일반화하여 초등 정보과학영재의 영재판별 원칙, 판별요소, 판별절차를 제안하였다. 제안한 판별절차에 따라 초등학생을 대상으로 직접 적용했으며, 적용에 의해 선발된 영재집단과 수학 과학성적이 우수한 일반집단과의 비교를 통한 검증도 해 보았다.

• Education of Primary School Mathematics
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• v.2 no.1
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• pp.53-64
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• 1998

Two different CAI programs have been developed to study the affect of CAI element for the types of learners'performance; (i) one is the 'CAI program 1' including the open questions for the fourth grade (the fourth period of the 'Time and Angle' in chapter 3 of the first term) of the mathematics class in the elementary school, and (il) the other is 'CAI program 2' for the existing methods. The fourth grade of Andong Songhyun elementary school has been chosen as the study subjects (243 learners), and the t-test and learners'interview have also been used to analysis the results of CAI programs. The CAI programs have only been used as the control variable. The developed CAI programs have been applied two different learners'groups to investigate the degree of performance among the superior, average, and inferior learners. For the superior group (p＜.0023) at the t＜3.2268 level and for the average group (p＜.0706) at the t＜1.8211 level the learner' group using CAI program 1 shows the higher performance compared with the learners' group using the CAI program 2, whereas fur the inferior group (p＜.8073) at the t＜.2458 level two programs did not show any difference. The learners interviews show that the superior and average groups have an interest for the open problems, whereas the inferior group do not shows an interest for the open problems. Thus, the CAI programs including the open questions (open fields, open evaluation) will be helped to the learners' group with the individual differences. Furthermore, it is expected that the CAI programs including the open questions as the mathematics and the program model of CAI can be used to develope the CAI program in future.

• School Mathematics
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• v.9 no.1
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• pp.161-180
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• 2007

The purpose of this study is to analyse how a mathematically gifted student constructs a nested signification model of three signs, while he abstracts the solution of a given NIM game. The findings of a qualitative case study have led to conclusions as follows. In general, we know that most of mathematically gifted students(within top 0.01%) in the elementary school might be excellent in constructing representamen and interpretant But it depends on the cases. While a student, one of best, is making the meaning of object in general level of abstraction, he also has a difficulty in rising from general level to formal level. When he made the interpretant in general level with researcher's advice, he was able to rise formal level and constructed a nested signification model of three signs. We suggested 3 considerations to teach the mathematically gifted students in elementary school level.

• The Journal of Korean Association of Computer Education
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• v.7 no.4
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• pp.103-110
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• 2004

As the importance of learner-centered ICT education is emphasized, school education should move toward the direction of respecting individual learners' capability rather than fitting learners into a fixed frame. Such a view finds its theoretical ground in Gardner's multiple intelligences theory. Thus ICT literacy education in elementary school also needs to consider individual student's abilities and talents based on their multiple intelligences and apply appropriate education programs and teaching methods. In order to provide basic materials for this, the present study examined the correlation between children's academic achievement in ICT literacy education and their multiple intelligences and inquired into which intelligences are factors determining achievement in ICT literacy education. According to the results. logical-mathematical intelligence is in a significant correlation with academic achievement in ICT literacy education. and logical-mathematical intelligence and linguistic intelligence are the most influential factors on academic achievement in ICT literacy education.

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