• Communications of Mathematical Education
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• v.23 no.1
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• pp.53-72
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• 2009

The purpose of the study was to develop a program based on PCM(Parallel Curriculum Model) model for the gifted students, and investigate the effectiveness of the program with qualitative research methods. This program was designed to encourage the gifted students to explore mathematics that is closely related to the real world. The results of the study revealed that the program based on the PCM model had positive effect on the gifted students emotionally and cognitively. In conclusion, PCM program is considered an appropriate program for the gifted students of elementary school.

• Journal of Educational Research in Mathematics
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• v.18 no.3
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• pp.335-352
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• 2008

The purpose of this research was to investigate the descriptive evaluation method that focuses on the problem solving process of the student. The goal was to evaluate the students' understanding of the subject rather than the students' ability to find the final answer. The descriptive evaluation is being suggested as a way of examining the thought process of the student by performing a structured analysis of the problem solving process. Today, there are not enough descriptive evaluation resources available for teachers to effectively carry out this alternative assessment method in the elementary school mathematics curriculum. This research is a case study on the development of resources for descriptive evaluation in grade 4 mathematics. We designed the development process for descriptive evaluation and its rubric for all 8 units of the 4-Na level of mathematics in the elementary school curriculum. Three descriptive problems were developed for each of the 8 units for a total of 24 problems. The rubric consisted of three areas of assessment, 1) understanding of the problem, 2) problem solving, and 3) mathematical communication. The problems were first pilot tested in two 4th grade classes. Modified problems were then tested in a different 4th grade classroom. The study showed that the three defined areas of evaluation framework (problem understanding, problem solving and mathematical communication) were measurable and analyzable using the developed grading rubric. We then conclude that he descriptive evaluation could be used as an effective tool for improving teacher performance in elementary school mathematics.

• Journal of Educational Research in Mathematics
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• v.24 no.1
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• pp.29-44
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• 2014

The newly revised mathematics curriculum in 2009 mentioned the mathematics specified classroom. All schools in the secondary school will implement Mathmatics Subject Class System by 2014. Expecing to extend the mathematics specified classroom to the elementary school, this study explores the direction how to configurate and use it. On the ground of previous research on mathematics laboratory and mathematics subject class system, this study makes questionnaire and survey recognition and opinions about mathematics room in the elementary school with elementary school teachers. Based on the result of analysis of questionnaire, this study suggests math cultural experience room, room for mathematical recreation, mathematics specified classroom as the main functions of elementary mathematics room, and utilization of mathematics room to perform such functions. This study provides suggestions about elementary mathematics room differentiated from mathematics subject class system in the secondary school.

• Education of Primary School Mathematics
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• v.22 no.4
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• pp.239-259
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• 2019

The 2015 revised mathematics curriculum specified software education as a mandatory curriculum amid a trend in which the software environment was extended to daily life due to the fourth industrial revolution. It also calls for a paradigm shift in lessons that incorporate learning and evaluation by specifying a process-oriented assessment. This study focused on addition and subtraction classes based on computational thinking skills that integrate mathematics learning and evaluation. Two fourth grade classes of elementary schools in Seoul were selected to conduct a pre- and post- test of metacognition and mathematics achievement through quantitative research. Also, a mixed study was conducted to analyze students' activities and opinions in parallel. The results of the study confirmed that the computational thinking-based classes, which incorporate mathematics learning and evaluation, had a positive effect on the metacognition of elementary school students and the improvement of their achievement scores. In addition to those identified in this study, further studies on other factors are proposed.

• Education of Primary School Mathematics
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• v.5 no.1
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• pp.21-39
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• 2001

This study is to develop assessment framework, test items and questionnaire for the National Assessment of Educational Achievement(NAEA), which administered in the elementary and secondary schools across the country in this year(2000). According to the first year study result of the NAEA, the test was administered in two core subjects, Mathematics and Social Studies. In this study, test items and sets of questionnaire and administered pretest were developed in the last year. In this year, the NAEA was administered with the adjusted test items and questionnaires and the results was analyzed and would be reported to the public. NAEA was developed on the basis of national curriculum, especially of the nature and objectives of subject curriculum in Mathematics (and also Social Studies). In the framework of assessment, we set up four differentiated levels of student achievement:‘under basic’,‘basic’,‘intermediary’, and ‘advanced’. Here ‘the intermediary level’means the level of educational achievement in which students can understand average content of subject curriculum. ‘Advanced level ’indicates the level of educational achievement in which students master all the content of subject curriculum and apply basic concepts and principles to a variety of situations. ‘The basic level’means the level of educational achievement in which students do not achieve the intermediary level. Students who do not understand average content of subject curriculum are classified as belonging to the basic level. Finally, this study would explain how to administer and analyze the test int he future. The test result was analyzed to report students’s educational achievement according to regions, content area, behavioral characteristics, and etc. This study would show how to report test results and how to set up student’s academic achievement.

• School Mathematics
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• v.17 no.1
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• pp.135-156
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• 2015

There is a difference in quality between transition from elementary school to junior high school and the simple change of grades. This time is also a critical time that many students would be to abandon the mathematics. According to experience in conjunction with mathematics, this timing can be either bright or dark outlook with relation to mathematical development. Thus, at this turning point, it is necessary to analyze what changes the students are experiencing in teaching and learning mathematics, what such changes effect the students, whether or not there is room for improving such changes etc. Therefore, in this study, by comparing and analyzing math lessons of 6th grade in elementary school and 1st grade in junior high school, we investigate the difficulties of teaching and learning mathematics experienced by students who have been placed in the turning point and suggest implications to help them to land softly into junior high school.

• School Mathematics
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• v.19 no.4
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• pp.663-690
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• 2017

The aim of this study is to look into the meaning and sub-factors of spatial orientation, compare and analyze mathematics curriculums and textbooks of several countries with respect to spatial orientation and offer suggestions to improve teaching spatial orientation in elementary school mathematics in Korea. In order to attain these purposes, this study examined the meaning and sub-factors of spatial orientation through the theoretical consideration regarding various studies on spatial sense. Based on such examination, this study compared and analyzed mathematics curriculums and textbooks used in South Korea, Singapore, Japan, China, Hong Kong, Finland, United States of America, and Germany with respect to contents of mathematics curriculum and textbooks in grades, sub-factors of spatial orientation, and contexts for spatial orientation. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching spatial orientation in elementary schools in Korea as follows: extending content of spatial orientation in mathematics curriculum, emphasizing spatial orientation across the several grades, especially in the upper grades, providing opportunities to learn the sub-factors of location, direction, coordinates, route, and distance variously, and utilizing various familiar and realistic contexts in the world around students.

• The Mathematical Education
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• v.40 no.2
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• pp.179-194
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• 2001

The seventh curriculum put into operation gradually from first-year student in 2000 academic years of elementary school is subject to form and apply a step-wise level curriculum. Mathematics(correspond to junior high school course from 7th school year to 9th school year) should apply a step-wise level curriculum from 7th school year in 2001 academic years. Accordingly, mathematics teachers must diagnose actual conditions of educations, distribution tables of test results, step-wise teaching-studying programs etc. They also make proper plans suitable for actual situations of each school, prepare appropriate teaching materials and aids. I investigated preceding studies planned for preparation of putting into operation of a step-wise level curriculum. It showed that most of the studies were conducted at schools of medium or large scale and studies conducted at schools of small scale was rare. There were 113 small scale middle schools out of total 297 middle schools in Kyongsangbuk-do area in 2000. In this situation, I felt necessities of modeling of a step-wise level curriculum suitable for small scale schools. In this study, I modeled a step-wise level curriculum suitable for small scale middle schools, applied this model to 44 students in M middle school. I modeled two types of curriculum. One is a step-wise level curriculum that execute special supplementation process to students who do not complete 7-가 step successfully. The other is a step-wise level curriculum which is a regular model for a step-wise level of 7-나 step. I carried out an academic achievement test and intimacy test about mathematics before and after the application of the model. In this study, I found out that this model was very effective in academic achievement of students and helpful to declined students in scholarship. In the intimacy test, It was found out that most of the students gained confidence in mathematics, felt less anxiety, formed positive self consciousness. Therefore, I think that this model will be helpful to the application of the seventh step-wise level curriculum.

• Education of Primary School Mathematics
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• v.11 no.2
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• pp.95-103
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• 2008

The 7th national mathematics curriculum was revised in 2007. According to the revision curriculum, new texts and guides are developed and will come into effect for elementary and secondary school in 2009. Some contents are shifted and also newly added at the revision curriculum. This paper analyzed the gap between the revision and the 7th national mathematics curriculum based on the shifts in contents, and investigated on the difficulties that some graders probably will undergo owing to shifting the contents between grades. As a result, several important problems were found in some graders between the revision and the 7th national mathematics curriculum. In particular, some graders could not have a chance to learn some mathematical concepts without another lesson plans. For some graders, special lesson plans and supplementations are required. The brief summary of these supplementations as follows: ⅰ) For entering students in 2005, the supplementations about equations and direct proportion and inverse proportion should be needed at the 6th grade in 2010 or at the 7th grade in 2011. ⅱ) For entering students in 2006, the supplementations about estimations and correspondence should be needed at the 4th grade in 2009 or at the 5th grade in 2010. And the supplementations about the relation of fractions and decimals and the ratio should be needed at the 5th grade in 2010. ⅲ) For entering students in 2007, the supplementations about the addition and subtraction of time using second unit and the addition and subtraction of weight should be needed at the 3th grade in 2009 or at the 4th grade in 2010.

• Journal of Educational Research in Mathematics
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• v.15 no.2
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• pp.197-213
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• 2005

There are not a few mathematical terms used as the undefined terms in school mathematics. The purpose of this study is to investigate critically the undefined mathematical terms in elementary school mathematics textbooks of Korea. As the result, the following suggestions are proposed. Firstly, It is not proper to use the terms which mathematics curriculum does not allow to use in elementary school math as the undefined terms in elementary school mathematics textbooks. Secondly, everyday-based undefined terms must be defined in elementary school mathematics textbook if their mathematical meanings are different from their everyday-based meanings. Thirdly, we need to consider the consistency when we use the undefined terms in elementary school mathematics. Fourthly, undefined terms should be define newly when the contexts in which they are used are changed or expanded. Finally, in elementary school mathematics textbooks, it is needed to define some purely mathematical undefined terms that there is no evidence which shows students grasp well their meaning.