• Journal of the Korean School Mathematics Society
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• v.20 no.3
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• pp.277-302
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• 2017

Educational objectives for mathematics in the curriculum revised in 2009 and the curriculum revised in 2015 put great emphasis on practical use of math, but perception of that lacks at schools. Accordingly, this research is recognizing the need for paying attention to curriculum focusing on mathematical connectivity and is inspecting CMP curriculum which has been developed over the years to reinforce problem solving competence and improve communication skills. This study analyzes CMP textbooks published as third edition in 2014 after several revisions, focusing on equations, inequalities and functions. First, this thesis analyzes mathematical connectivity using a new analysis framework which applied the modes of representation(situations, verbal description/ tables/ graphs/ formulae) made by Janvier(1987). Second, this research analyzes connectivities between different units, various sections, other subjects and practical contents related to the real life. The results: CMP textbooks use various practical materials for specific situations. They represent twelve processes of connectivity according to the modes of representation of Janvier. The books also show relationship between equations and functions, between inequalities and functions. And CMP textbooks include other subjects and practical contents.

• Journal of the Korean School Mathematics Society
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• v.12 no.2
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• pp.309-325
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• 2009

The purpose of the study was to investigate the differences between Korean mathematics textbooks and CPMP textbooks in the view of conceptual network, structure of mathematical contents, instructional design, and teaching and learning environment to explore the implications for mathematics education in Korea. According to the results, Korean textbooks emphasized the mathematical structures and conceptual network, on the other hand, CPMP textbooks focused on making connections between mathematical concepts and corresponding real life situations as well as mathematical structures. And generalizing mathematical concepts at the symbolic level was very important objective in Korean textbooks, but in the CPMP textbooks, investigating mathematical ideas and solving problems in diverse contexts including real- life situations were considered very important. Teachers using Korean textbooks preferred an explanatory teaching method with the use of concrete manipulatives and student worksheet, however, teachers using CPMP textbooks emphasized collaborative group activities to communicate mathematical ideas and encouraged students to use graphing calculators when they explore mathematical concepts and solve problems.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.355-376
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• 2019

Since the second comprehensive mathematics education plan was announced in 2012, many policies have been implemented based on it. However, due to many changes in various social situations and revision of the curriculum, new plans and policy proposals for mathematics education are strongly required. But, we need to recognize what the changes in the current social and educational situation ask for education in order to make meaningful policy. Therefore, in this study, we intend to develop an appropriate questionnaire to investigate mathematics teachers' perceptions and educational status of mathematics by analyzing former domestic and international studies on the related field and reflecting the educational situation in Korea. When developing questions, experts' opinions were consulted and preliminary on-site survey studies were conducted to maintain the suitability and reliability of the questions. Through these procedure, 33 questions were developed in three areas: teachers' recognition on mathematics education, educational status of mathematics education, and ICT utilization. It will be used as a tool to investigate math teachers' perception and current status of mathematics education and the results from this survey will be useful for developing mathematics education policies for the future.

• Journal of Educational Research in Mathematics
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• v.20 no.1
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• pp.73-84
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• 2010

Mathematical modeling is an important part of mathematics education since it can be used or created to find mathematical models to understand real life various situations. Most of mathematical modeling tasks taught and learned currently in secondary school mathematics classes need simple mathematical modelling with one or two variables and produce fixed solutions to the real life problems. But many real life problems involve various and complex variables which can be used to get more proper solutions. Constructing mathematical models to get more appropriate solutions from the real problems having various and complex variables is not easy. In this paper the researcher suggested a model to fit mathematical models to get more appropriate solutions and showed three examples to apply the model in solving real life problems which can be treated in the secondary school mathematics classrooms.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.2
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• pp.297-318
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• 2014

This study is designed for helping elementary school teachers have an insight into making or choosing questions of descriptive assessment in mathematics. For this, it is analyzed 30 descriptive mathematical questions produced by Gyeonggi Provincial Office of Education in 2011 and 2012 and 3rd to 6th grade students' papers marked by their teachers in charge from 2 elementary schools located in Gyeonggi Province. The main focus of analysis is the errors of students' answers and teachers' marking not from their own mistakes but from the defects of questions themselves. As a result of analysis, 7 cases of problematic situations are induced and they are reorganized into 3 categories as follow: i) case of not performing unique purpose of descriptive assessment, ii) case of inducing the problem of fairness of grading, iii) case of leading students erroneous direction.

• Journal of Educational Research in Mathematics
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• v.10 no.2
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• pp.161-182
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• 2000

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 in the future. The test result was analyzed to report students' educational achievement according to regions, content areas, behavioral characteristics, and etc. This study would show how to report test result\ulcorner and how to set up students' academic achievement.

• School Mathematics
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• v.8 no.2
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• pp.123-138
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• 2006

The fraction concept consists of various meanings and is one of the more abstract and difficult in elementary school mathematics. This study intends to analyze the fraction concept from historical and psychological viewpoints, to examine the current elementary mathematics textbooks by these viewpoints and to seek the direction for improvement of it. Basic ideas about fraction are the partitioning - the dividing of a quantity into subparts of equal size - and about the part-whole relation. So these ideas are heavily emphasized in current textbooks. However, from the learner's point of view, situations related to different meanings of fraction concept draw qualitatively different response from students. So all the other meanings of fraction concept should be systematically represented in elementary mathematics textbooks. Especially based on historico-genetic principle, the current textbooks need the emphasis on the fraction as a measure and on constructing fraction concept by unit fraction as a unit.

• School Mathematics
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• v.12 no.4
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• pp.585-604
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• 2010

This study aims to investigate understanding of meanings of division, quotitive division and partitive division, by the third graders and preservice elementary teachers. To do this, we analysed and compared mathematics textbooks according to 9 mathematics curricula, gathered information about their understanding by questionnaire method targeting 5 third graders and 36 preservice elementary teachers, and analysed their responses in relation to recognition of division-based situations, solution using visual representations, and awareness of quotitive division and partitive division. In Korea, meanings of division have been taught in grade 2 or 3 in various ways according to curricula. In particular, the mathematics textbook of present curriculum shows a couple of radical changes in relation to introduction of division. We raised the necessity of reexamination of these changes, based on our results from questionnaire analysis that show lack of understanding about two meanings of division by the preservice elementary teachers as well as the third graders. And we also induced several didactical implications for teaching meanings of division.

• 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.26 no.1
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• pp.1-13
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• 2023

One of major goals of mathematics education is to cultivate human resources which equip creative problem-solving ability. Thus, the enhancement of creative and converging ideas has been emphasized in the national curriculum since the 2009 revised curriculum. In the current study, we analyzed authorized textbook series to examine how each curriculum material addresses the creativity convergence competency. The foci of the analysis were creativity (originality, fluency, flexibility, elaboration) and convergence (intrinsic connection, extrinsic connection). In addition, we analyzed the national textbook which was based on the 2015 revised curriculum to investigate the transition between the national textbook and the authorized textbooks. We found the tasks that focused on fluency were the most frequent type regarding creativity and the tasks that connected with everyday life situations (extrinsic connection) were prevalent across the three textbook series. We provided suggestions about the development of mathematics textbooks and their implementation.