• Journal of Elementary Mathematics Education in Korea
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• v.23 no.4
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• pp.437-457
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• 2019

In this study, we analyzed how the content and achievement criteria of the Geometry domain of Korean elementary school mathematics curriculum have changed. To this end, based on the analysis framework based on the 2015 revised curriculum, the achievement standards for each period were classified into continuous, extinct, and additional types, and their characteristics were examined. In the domain of Geometry, continuous achievement standards accounted for 51% of the total, and there were many achievement standards that remained unchanged in grade and domain. The extinctive achievement standard is 20.4% of the total, and the mathematics contents that were rapidly introduced due to the modernization of mathematics in the 3rd curriculum were eliminated the most from the 4th curriculum, and after the 7th curriculum, With the introduction of staged curriculum and the system of school year group, the contents of learning were either integrated or moved to middle school. The additional achievement standard was 28.6% of the total, and the achievement standard was added the most with the introduction of spatial sensory development in the 7th curriculum. The GAct that the additivel achievement standard is more than the extinction achievement standard in the Geometry domain is the result of the efforts to actively introduce the geometric contents appropriate to the times despite the great flow of curriculum revision of the curriculum reduction. It is hoped that the results of these studies will be used as basic data in the formation of new achievement standards in future curriculum development.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.301-316
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• 2011

In this study, some discordance between curriculum and textbooks in usage of mathematics terms, dual meaning of some terms in the usage of those terms in textbooks, and inconsistency of defining methods of terms are discussed through some examples. Generally it can not be expected that there are any discordance between curriculum and textbooks, because textbooks are developed in the basis of curriculum. But actually, some discordance between curriculum and textbooks can be found out. Some terms are used with two different meaning, geometric figure and measure. It can be causative of troubles in teaching and learning mathematics. Terms of same kind can be expected to be consistent in the way of defining, but some examples defined inconsistently can be found out. The following four suggestions are offered as conclusions. First, textbooks must be consistent with curriculum. Second, The meaning of terms used in textbooks must be stipulated obviously. Third, terms of same kind must be defined consistently. Fourth, it is necessary to supplement a system for developing elementary mathematics textbooks. The result of this study can help develop new textbooks, and revise curriculum, and develop new curriculum.

• Journal of Educational Research in Mathematics
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• v.15 no.4
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• pp.419-444
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• 2005

As a theoretical background for this research, the literatures which focus on teaching and loaming of connecting with mathematics and science were investigated. And the rationale of integrated curriculum on the basis of the 7th mathematics curriculum and the goal of mathematics education and the forms of integrated curriculum and the integrated curriculum in foreign school were investigated. Depending on this review, the implement method of the integrated curriculum of mathematics and science in Korea school is suggested as the following: It requires designing inter-disciplinary into-grated problem or various teaching and learning materials which are based upon concept, skill, and principle by commonality found across the subject matter. Based on the analyses upon described above, three inter-disciplinary integrated teaching and learning materials were developed. And then, based on the case stud)', the research questions were analyzed in depth. Students could understand the developing process of linear function, develop the formula and grape representing the relationship between time and velocity, time and distance, and interpret realistic meaning of the slope.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.407-429
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• 2015

This study aims to find the elementary mathematics teachers' satisfaction, availability, and needs, based on the mathematics teaching models in current mathematics curriculum. The satisfaction on current mathematics teaching models is about 80%, but the frequency of usage of the models is a bit low because the models are used once a unit or a semester. Among other subjects, the teachers prefer the teaching models of social studies or science, because the models are convenient in applying models to their teaching. We proposed a few ideas to enhance the availability of mathematics teaching models including the consideration on a variety of content areas of mathematics, students' differences of their mathematics levels, and the teaching and learning methods in mathematics curriculum.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.491-503
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• 2013

In this paper we analyse how school mathematics terminologies have been changed from the syllabus period to the 2007 curriculum. For this we survey the school mathematics terminologies which have been used since the syllabus period on the 2007 curriculum basis, analyse changes in expression of those, and look through to the characteristics of mathematics terminologies for each curriculum period.

• East Asian mathematical journal
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• v.30 no.2
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• pp.197-222
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• 2014

The purpose of this research is to find out if it is possible to apply the Waldorf School's mathematics education method to Korean alternative schools which are run under the national curriculum. To achieve this, the researcher conducted class on geometry for three weeks with ten 7th graders(four girls and six boys) from Apple Tree Waldorf alternative school in Busan, which has adopted Valdorf education courses. For the first two weeks, the class was about 'fundamental geometrical construction', and then it was evaluated. On the third week, the lesson was on plane figures, followed by a test with 9 plane figure questions that are based on general middle school mathematics curriculum. The result shows that most of the students understood 'fundamental geometrical construction'. When it comes to the test on 'plane figures', seven students got 8 out of 9 right, two students got 6 out of 9 right, and one of them had difficulty solving the questions. According to the results of this research, it is thought that there will be no problem for students to understand mathematical concept even if the Waldorf School's mathematics education method is applied to Korean alternative schools. Also, the Waldorf School's mathematics education method is considered to be a good teaching model for the Korean mathematics curriculum which places emphasis on 'mathematical creativity' in regard to the curriculum and contents.

• Journal for History of Mathematics
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• v.33 no.1
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• pp.55-71
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• 2020

In this study, the situation of publishing middle and high school mathematics textbooks used at the period of the first curriculum were investigated. In the period of the first curriculum, middle and high school textbooks were used from 1956, and middle school textbooks were used until 1965, and high school textbooks were used until 1967. First of all, the announcements of the ministry of education related to the textbook authorization were examined in the government official gazettes of 1956~1967. However, there were considerable typographical errors in these announcements of the ministry of education. So textbooks used at that period were examined, and typographical errors were corrected by cross-checking the bibliographic information.

• The Mathematical Education
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• v.42 no.3
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• pp.369-386
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• 2003

Problem-centered learning has many implications on teaching and learning mathematics. Students devise their solutions to solve problems and participate in the discussion with teacher and other students to share and justify their solution during the problem-centered learning. Therefore, we purposed to provide problem-centered loaming materials to be able to use in teaching and loaming the 7th mathematics curriculum in this study. First, we reviewed the 7th curriculum and its textbooks to know what and how students learn and suggested the problem-centered learning as a teaching method to perform the 7th curriculum. Next, we developed the problem-centered loaming materials for 6th grade in elementary school and taught students with these materials to amend errors. Finally, we developed evaluation criteria to evaluate students while they teamed mathematics in the problem-centered learning.

• Research in Mathematical Education
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• v.15 no.3
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• pp.209-228
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• 2011

Many studies such as Pepin (1999a; 1999b), Kaiser (2002), and Park & Leung (2006) revealed that there is a strong dependence of mathematics teaching on cultural traditions in different countries. This study was set up as a detailed comparison between the intended curricula in Berlin and Hong Kong to explore how cultural tradition influenced the intended curriculum. In this study, the intended curriculum is what the (local, state or national) curriculum developers stipulate in the official documents. The German educational system is influenced by the curriculum tradition called Didaktik. Didaktik is a tradition about teaching and learning. Since 16th century, Didaktik has been the most important tool for planning, enacting, and thinking about teaching in most of northern and central Europe (Westbury, 1998). On the other hand, the education system in Hong Kong is influenced by both the Anglo-Saxon curriculum tradition and the Confucian heritage culture (CHC). It was found in this study that, although many studies revealed that there is a strong dependence on cultural traditions of mathematics teaching in different countries, other factors such as social factors or the education system also played an important part in shaping the intended mathematics curriculum. So a simplistic view of dependence of the curriculum on cultural traditions is not warranted. The formation of the curriculum is a much more complicated process encompassing various factors including needs of society, advancement of technology, and government policies at different levels.

• School Mathematics
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• v.1 no.2
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• pp.617-636
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• 1999

This study was executed with the intention of guiding ‘open education’ toward a desirable school innovation. The basic two directions of curriculum reconstruction essential for implementing ‘open education’ are one toward intra-subject (within a subject) and inter-subject (among subjects). This study showed an example of intra-subject curriculum reconstruction with a problem solving area included in elementary mathematics curriculum. In the curriculum, diverse strategies to enhance ability to solve problems are included at each grade level. In every elementary math textbook, those strategies are suggested in two chapters called ‘diverse problem solving’, in which problems only dealing with several strategies are introduced. Through this method, students begin to learn problem solving strategies not as something related to mathematical knowledge or contents but only as a skill or method for solving problems. Therefore, problems of ‘diverse problem solving’ chapter should not be dealt with separatedly but while students are learning the mathematical contents connected to those problems. Namely, students must have a chance to solve those problems while learning the contents related to the problem content(subject). By this reasoning, in the name of curriculum reconstruction toward intra-subject, this study showed such case with two ‘diverse problem solving’ chapters of the 4th grade second semester's math textbook.