• The Mathematical Education
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• v.61 no.3
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• pp.457-476
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• 2022

Mathematics textbooks as the main resources to support mathematical teaching and learning are used importantly in Korean lessons. Although the scope of mathematics textbook research has been expanded and the research has increased, few studies have analyzed the overall trends of mathematics textbook research in Korea. This study analyzes the overall trends of textbook research on 418 papers pertinent to mathematics textbooks published in domestic mathematics education journals. The results of this study showed that the proportion of textbook analysis research was the highest, followed by textbook use and textbook development research in order. There were more textbook studies at the elementary school level than at the middle or high school levels. Regarding textbook analysis studies, the most frequent topic was to analyze how specific mathematical concepts were presented in textbooks. Regarding textbook use studies, many studies asked both teachers and students to review the appropriateness of textbooks under development or analyzed the perception and use of specific activities of textbooks based on a survey. Regarding textbook development studies, the most popular topics included the directions and examples of new development, such as storytelling-based or electronic textbooks. This paper finally presented implications for textbook research in light of the domestic mathematics education context and the international mathematics textbook research trends.

• Archives of design research
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• v.12 no.4
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• pp.191-200
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• 1999

Improving the design ability of idea developing and creative problem solving should be started from the primary school. Design education in the primary school should be not education for design but education by design. It helps students can naturally understand the basic concept of design and experience the process of activities. Therefore primary educational circle use the term of 'Design-related activities', or 'Design-Based Education'. It can be applied to variable themes of mathematics, science, music, society as well as Art. On the Basis of these literature review, the traditional design education as a part of the art education is analyzed in two aspects of its contents and behaviors. The contents in design education involve aesthetic·symbolic, useful·functional, and scientific·technological area. And, the basic design behaviors are classified with 'know', 'perceive', 'inquire', and so on. This concept becomes the analytic frame of the present condition of design education in Korean primary school. Through the analysis, it is found that the portion of scientific·technological area in contents and 'inquire' related behaviors are relatively very low. Also, the planning and teaching methods for leading children's opportunity of creative expression are found inadequate. This study proposes the potential capability and the integrative contents of design education in primary school.

• Journal of The Korean Association of Information Education
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• v.17 no.1
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• pp.83-91
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• 2013

The Ministry of Education issues STEAM education as a part of convergence. Most important is "How to achieve goals of STEAM education". The goal of this paper searches possibilities that robot is a good tool for STEAM education. The main topic is photosynthesis unit as circumstantiation and "Deep sea exploration robot", is creative activity, in elementary science subject. Students complete 13 basic course about robot, then accomplish subject-oriented 10 robot application course about above topic. Basic course contains math and science elements that students learn in regular curriculum. Application course is organized following steps, photosynthesis with oxygen sensors, brainstorming, idea derivation, robot design, robot construction, demo and presentation and so on. These courses have elements of STEAM. Finally teacher has face-to-face meeting with parents and students. Most have positive aspects about this process in terms of creativity, study attitude, and school life. Specially low-ranking students win a prize in robot competition. So they can gain confidence and accomplishment. This paper don't show statistic chart, but we surely knew that robot education for STEAM education seriously affect creativity huminity and job search.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.335-353
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• 2022

The purpose of this study is to identify the characteristics and types of errors in the conceptual image of Korean language learners according to the types of terms in mathematics that are the basis for solving mathematical word problems, and to prepare basic data for effective teaching and learning methods in solving the word problems of Korean language learners. To do this, a case study was conducted targeting four Korean language learners to analyze the specific conceptual images of terms registered in curriculum and terms that were not registered in curriculum but used in textbooks. As a result of this study, first, it is necessary to guide Korean language learners by using sufficient visualization material so that they can form appropriate conceptual definitions for terms in school mathematics. Second, it is necessary to understand the specific relationship between the language used in the home of Korean language learners and the conceptual image of terms in school mathematics. Third, it is necessary to pay attention to the passive term, which has difficulty in understanding the meaning rather than the active term. Fourth, even for Korean language learners who do not have difficulties in daily communication, it is necessary to instruct them on everyday language that are not registered in the curriculum but used in math textbooks. Fifth, terms in school mathematics should be taught in consideration of the types of errors that reflect the linguistic characteristics of Korean language learners shown in the explanation of terms. This recognition is expected to be helpful in teaching word problem solving for Korean language learners with different linguistic backgrounds.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.177-196
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• 2010

The purpose of this study is to find out whether Achievement Tests are fully performing their role as an objective standard that measures student's educational achievement level by analysing the content validity of Achievement Tests developed by KICE and teachers at elementary school. In the study, the content validity of achievement tests were analyzed in the behavioral content objective dimensions. 60 instructional objectives from the Unit one to the Unit six contained in the teachers' guidebook for the elementary third-grade Math subject were analyzed into dimensions of behavior and content. And the Achievement Test developed by KICE and teachers in five elementary schools randomly chosen were collected and analyzed. Then, differences of the proportion between instructional objectives and evaluative objectives in each dimension statistically were verified. The results of the study are as follows : 1. In the dimension of behavior, as analysing and comparing the content validity of achievement tests, there was no significant difference in all domains(knowledge, comprehension, application, analysis, synthesis and evaluation). (p<.05) Therefore, it could be concluded that content validity of the Achievement Test is very high. 2. In the dimension of content, similarly there is no significant difference in all domains between achievement tests by both KICE and teachers. (p<.05) Therefore, the content validity of all tests are very high. In conclusion, it could be concluded that content validity of achievement tests is considerably high in content and behavior dimension. The study suggest the followings : 1. By expanding to the other subjects, there are needs to analyze and verify the content validity of achievement tests. 2. Even the content validity of achievement tests is considerably high however, achievement items are focused on evaluation 3 domains(knowledge, comprehension, application). Therefore evaluation evenly among 6 cognitive domains is required. And further to reduce the deviation of schools, there are needs to active interchange between teachers.

• Education of Primary School Mathematics
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• v.4 no.2
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• pp.111-125
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• 2000

This paper presents cross-national perspectives on challenges in implementing current mathematics education reform ideals. This paper includes detailed qualitative descriptions of mathematics instruction from unevenly successful second-grade classrooms both in Koran and in the U. S with regared to reform recommendations. Despits dramatic differences in mathematics achivement between Korean and the U.S student. problems in both countries with regard to mathematics education are perceived to be very similar. The shared problems have a common origin in teacher-centered instruction. Educational leaders in both countries have persistently attempted to change the teacher-centered pedagogy to a student-centered approach. Many teachers report familiarity with and adherence to reform ideas, but their actual classroom teaching practices do not reflect the full implications of the reform ideals. Given the challenges in implementing reform, this study explored the breakdown that may occur between teachers adoption of reform objectives and their successful incorporation of reform ideals by comparing and contrasting two reform-oriented classrooms in both countries. This comparison and contrast provided a unique opportunity to reflect on possible subtle but crucial issues with regard to reform implementation. Thus, this study departed from past international comparisons in which the common objective has been to compare general social norma of typical mathematics classes across countries. This study was and exploratory, qualitative, comparative case study using grounded theory methodology based on constant comparative analysis for which the primary data sources were classroom video recordings and transcripts. The Korean portion of this study was conducted by the team of four researchers, including the author. The U.S portion of this study and a brief joint analysis were conducted by the author. This study compared and contrasted the classroom general social norms and sociomathematical norms of two Korean and two U.S second-grade teachers who aspired to implement reform. The two classrooms in each country were chosen because of their unequal success in activating the reform recommendation. Four mathematics lessons were videotaped from Korean classes, whereas fourteen lessons were videotaped from the U.S. classes. Intensive interviews were conducted with each teacher. The two classes within each country established similar participation patterns but very different sociomathematical norms. In both classes open-ended questioning, collaborative group work, and students own problem solving constituted the primary modes of classroom participation. However in one class mathematical significance was constituted as using standard algorithm with accuracy, whereas the other established a focus on providing reasonable and convincing arguments. Given these different mathematical foci, the students in the latter class had more opportunities to develop conceptual understanding than their counterparts. The similarities and differences to between the two teaching practices within each country clearly show that students learning opportunities do not arise social norms of a classroom community. Instead, they are closely related to its sociomathematical norms. Thus this study suggests that reform efforts highlight the importance of sociomathematical norms that established in the classroom microculture. This study also provides a more caution for the Korean reform movement than for its U.S. counterpart.

• School Mathematics
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• v.13 no.1
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• pp.155-173
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• 2011

Problem representation is a key aspect in solving word problems. The purpose of this study was to investigate the effects of instructional program based on visual schema representing five types of word problems(Marshall, 1995). Two second grade classes of an elementary school located in Seoul were participated in this study. In experimental class, an instructional program including schema tools were suggested and administered and the other comparison group did have regular classes using diagrams and tables. Pre and post test including 15 word problems each were utilized to test students' problem solving ability. In addition, test scores on students' language ability were used to control the effects of word comprehension level on problem solving. The result revealed that experimental group showed higher problem representation and solving scores after controling the effects of pre-test. In addition, there was significant positive correlation between the ability to apply exact problem schema and problem solving results. The correlation was .58. This study showed even in the early developmental stage young students can get benefits from having instructions of word problem schema.

• Education of Primary School Mathematics
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• v.20 no.4
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• pp.305-319
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• 2017

In the process of finding the triangle height, 26 students in the 6th grade were surveyed to understand the students' triangle height through the eye movement data and to investigate the cognitive load of the students. As a result, the correctness rate of the pre-test was significantly increased in the post-test, and the frequency and retention of gaze data were smaller in the post-test than in the AOI of each question. The Participants's subjective cognitive load indicated that it was more difficult to understand the concept of rotated triangles compared with upright triangles that were parallel to the ground. More frequent and more retentions in the eye-tracking data were detected in the right triangles and acute triangles by rotating configuration. Eye movement data show that eye tracking technology can provide an objective measure of students' cognitive load for feedback on instructional design.

• School Mathematics
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• v.15 no.3
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• pp.651-665
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• 2013

The aim of this study is to find how unformal proof activities contribute to solving problems successfully and to confirm the role of teachers in the progress. For this, we developed a task that can help students communicate actively with the concept of unformal proof activities and conducted a case lesson with 6 graders in Elementary school. The study shows that unformal proof activities contribute to constructing representations which are needed to solve math problems, setting up plans for problem-solving and finding right answers accordingly as well as verifying the appropriation of the answers. However, to get more out of it, teachers need to develop a variety of tasks that can stimulate students and also help them talk as actively as they can manage to find right answers. Furthermore, encouraging their guessing and deepening their thought with appropriate remarks and utterances are also very important part of what teachers need to have in order to get more positive effect from these activities.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.241-262
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• 2010

This study was carried out to identify the cognitive obstacles while using addition and subtraction with fractions, and to analyze the sources of cognitive obstacles. For this purpose, the following research questions were established : 1. What errors do elementary students make while performing the operations with fractions, and what cognitive obstacles do they have? 2. What sources cause the cognitive obstacles to occur? The results obtained in this study were as follows : First, the student's cognitive obstacles were classified as those operating with same denominators, different denominators, and both. Some common cognitive obstacles that occurred when operating with same denominators and with different denominators were: the students would use division instead of addition and subtraction to solve their problems, when adding fractions, the students would make a natural number as their answer, the students incorporated different solving methods when working with improper fractions, as well as, making errors when reducing fractions. Cognitive obstacles in operating with same denominators were: adding the natural number to the numerator, subtracting the small number from the big number without carrying over, and making errors when doing so. Cognitive obstacles while operating with different denominators were their understanding of how to work with the denominators and numerators, and they made errors when reducing fractions to common denominators. Second, the factors that affected these cognitive obstacles were classified as epistemological factors, psychological factors, and didactical factors. The epistemological factors that affected the cognitive obstacles when using addition and subtraction with fractions were focused on hasty generalizations, intuition, linguistic representation, portions. The psychological factors that affected the cognitive obstacles were focused on instrumental understanding, notion image, obsession with operation of natural numbers, and constraint satisfaction.