• Journal of the Korean School Mathematics Society
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• v.22 no.3
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• pp.183-197
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• 2019

The purpose of this study is to support elementary teachers to use the teaching of weights and measures. To help the author of the next elementary mathematics textbook to be used as a reference for the quantitative narrative process. For this purpose, I focused on the contents of textbooks in terms of definition, a unit of measure, and calculation. As a result, first, as for the definition of weights and measures, it is taken as an example rather than as an explicit statement. Second, several problems were found in the metrology content and metric unit introduction order. Third, the computation between measurement units stood in simple computation rather than procedural knowledge. Fourth, it was concluded that the reason and groundbreaking of the grade-specific differences and the amount of a student's education are necessary.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.351-367
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• 2019

Slope is an important mathematical concept that is connected to advanced mathematics as well as a basic concept as an indicator of the steepness of a straight line. The purpose of this study is to see how the concept of slope is presented in mathematics textbooks of middle school. For this study, we analyzed the types of slope concepts in the textbooks. In particular, we analyzed motivation activity, definition, examples of slope in them and used a concept framework of slope by Stump(1999, 2001), Moore-Russo, Connor & Rugg (2011). As a result, it was shown that middle school mathematics textbooks use the types of slope concepts to be biased when explaining the slope or presenting the slope problems. In addition, the real contexts of slope is poorly presented, and the concept types change from visual aspect to analytical aspect in the processes. This study provides suggestions on how to present the slope concepts in mathematics curriculum and middle school textbooks.

• 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 the Korean School Mathematics Society
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• v.22 no.3
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• pp.241-256
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• 2019

In this paper, we analyzed the types of tasks presented in the 'Probability and Statistics' textbooks and how the cognitive competences required to perform the tasks provide students with opportunity-to-learn. To this end, the analysis of the 9 books of the 'Probability and Statistics' test textbooks according to the 2015 revised mathematics curriculum showed that the context-based tasks(CF type, RE type) ranged from 67.5% to 78.0% of the total number of tasks in each textbook, but the ratio of relevant and essential tasks related to real life is from 0.4% to 2.0%, it was found that most of the context-based tasks presented in the textbooks were disguised as real life materials. The cognitive competences of context-based tasks ranged from 29.6% to 50.0% in reproduction category, from 33.8% to 54.3% in connection category, and from 8.8% to 20.0% in reflection category. As a result, there was not enough opportunity-to-learn for students to experience reflective cognitive processes.

• Journal of the Korean School Mathematics Society
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• v.18 no.1
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• pp.61-82
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• 2015

This study investigated the learning process of Chines international student within a technology environment, who was studying in Korea to be well equipped as a math teacher in future. Her activities were observed and guided in a class for pre-service teachers in one university, Kyunggido, in the second semester of 2014. She experienced obstacles such as the lacks of comprehending Korean sentences, Korean math terminologies, mathematical concepts, and fidelities of technology in her learning. She was recovered by bilingual effect, visualization activities, repetition activities, and group activities. There was a learning helper who made her learning possible in a bilingual way. Thus, the bilingual education is crucial for students with multi-cultural background.

• East Asian mathematical journal
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• v.34 no.4
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• pp.511-536
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• 2018

There is currently a growing need to nurture creative and convergent talent in the face of the fourth Industrial Revolution. Developing such talent requires interdisciplinary convergent education across the science, engineering, humanities, social studies, and arts disciplines. Such interdisciplinary convergence could cultivate humanities and social knowledge and qualities along with scientific expertise. In Korea, there are currently six science schools for the gifted that aim to discover and nurture science, technology, engineering, and mathematics (STEM) researchers from an early stage, and two science and art schools for the gifted that aim to cultivate new talent combining students' scientific and artistic qualities. These schools establish and follow curriculums that are suited to achieving the education objectives guaranteed by the Gifted Education Promotion Act and its Enforcement Decrees. This study compares the curriculums and curriculum tables of the science schools for the gifted to those of the science and art schools for the gifted to evaluate their methods of operation and performance. Additionally, it determines which curriculums provide an opportunity for students to nurture convergent thinking, and discusses how suitable curriculums could be implemented to develop convergent thinking.

• Journal for History of Mathematics
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• v.23 no.2
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• pp.101-121
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• 2010

This article includes an introduction, a history of Pick's theorem on lattice polyhedron and its proof, Reeve's theorem on 3-dimensional lattice polyhedrons extended from the Pick's theorem and Ehrhart polynomial generalized as an n-dimensional lattice polyhedron, and then shows the relationship between the volume of 3-dimensional polyhedron and the number of its lattice points by means of Reeve's theorem. It is aimed to apply the relationship to the visualization of sums in sequences.

• East Asian mathematical journal
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• v.28 no.2
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• pp.109-133
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• 2012

In this research, I selected a Singapore elementary mathematics textbook which substantially reflects Singapore curriculum, and compared it with Korean one to understand how they differ in the contents system of the curriculum focused on the contents of the geometry and measurement strand, and analyzed their common points and different points intensively with textbooks for sixth-grade students. Also, I translated a chapter of the textbook, 'Mathematics in Action'. That chapter was about circumference and the area of the circle which is related to the shapes part. Then, I taught it to the experimental group to compare their achievement and the change of reaction to studying the shape-related parts with those of the control group. The results are the followings. First, when we analyze the contents of shape-related part of the textbooks for sixth-grade students of both countries, Singaporean textbook contains more contents that are introduced for the first time, which implies that it is more desirable to teach new concepts of shapes when students are in their higher grades. Second, as for the way they develop the activity of each chapter, Korean textbook sticks to a uniform way, while the Singapore textbook uses various ways for different subjects and grades. In addition, when they organize the contents of the textbook, they emphasize the importance of student's activity and lead students with various methods by suggesting several questions and situations.

• Journal of the Korean School Mathematics Society
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• v.7 no.2
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• pp.99-116
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• 2004

This study investigates the concept of irrational number which middle school students begin to learn for the first time in their learning mathematics. Further, this explores how that concept is being taught, how much students understand that concept and things that students have difficulty in understanding relating to the concept of irrational number. Thus we try to figure out how the concept of irrational number should be taught for the most effective students' understanding. Thus, we want to provide some suggestions for teaching and learning irrationals numbers.

• Journal of the Korean School Mathematics Society
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• v.3 no.2
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• pp.83-97
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• 2000

The purpose of this study is to help the efficient and practical teaching and learning of a mathematic subject in schools by comparing and analyzing the sixth and seventh curriculum of mathematics on the basis of the demand that the current curriculum should be improved, made, and adapted newly. This paper 1. studies the meaning of the curriculum and the theory of the curriculum of mathematics 2. looks into the history of the curriculum of mathematics from the first to the sixth. 3. compares an outline of the sixth and seventh curriculum. As a result, it exhibits the great difference in giving students choices for subjects and nullifying the meaning of the subject distinction, which means a new system with consistency based on the concept of a grade system instead of the present school system. 4. summarizes the result of comparing and analyzing the sixth and seventh curriculum which will be practiced from the year 2002 5. The beginning of the seventh curriculum in high schools will be from the year 2002 and the ministry of education is expected to take proper actions for its successful settlement, yet at this point this study gives some suggestions for its smooth and normal operation.