• Journal of Engineering Education Research
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• v.14 no.6
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• pp.67-72
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• 2011

This method is a new experimental model for a mathematical education in Engineering students. We compare two different classes; one was recorded the lecture with scenario and the other was not. Also we set up the detailed structures in every lecture for mathematical modeling and solving parts. The purpose for a new model is 1) to improve the students's ability to solve the mathematical problem, 2) how to approach to getting a solution for each problem by system and 3) to provide the lectures anytime to students who want to study more mathematics.

• Journal for History of Mathematics
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• v.20 no.2
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• pp.89-108
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• 2007

Finding the lack of meaningful approaches in teaching multiplication of decimal fractions, this paper tries to show from the standpoints of Dewey, Vergnaud and Brousseau that the cognition of ratio and proportion is essential to the understanding of multiplication of decimal fractions. Based upon such posture, this paper compares the characteristics and approaches to multiplication of decimal fractions in Korean and Japanese textbooks. Finally, this paper suggests ways to develop the concept of multiplication of decimal fractions in Korean textbooks.

• The Mathematical Education
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• v.60 no.4
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• pp.467-491
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• 2021

This study is a study on the coding mathematics curriculum that converges elementary and middle school mathematics and information subjects and a minimum coding game-based education method for this. For the past 3 years, the coding mathematics curriculum and educational methods to effectively operate the curriculum were studied by applying them to 6th graders of elementary school and 1st graders of middle school. As a result of the first year of research, the coding mathematics curriculum was modified to a coding environment including the mathematical concept of a three-dimensional coordinate space, and the three-dimensional object was improved to be output as a real 3D print. As a result of the 2nd year study, it was improved so that even low-level students can build buildings by introducing different level commands for each component of the building so that self-directed learning is possible. As a result of the 3rd year study, a teaching-learning strategy based on a minimal coding game was designed to induce an increase in the level of computational thinking, and evaluation and feedback for diagnosing computational thinking were developed. Educational methods to promote self-directed learning and computing thinking ability, and researched coding mathematics curriculum are meaningful for the research and practice of the convergence education of school mathematics and informatics.

• Journal of Gifted/Talented Education
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• v.13 no.4
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• pp.45-63
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• 2003

The purpose of this study is to analyze the status and gifted students' perception on curriculum implementation for gifted education at Busan Science Academy. For the purpose, we investigated the curriculum documents, the process of implementing curriculum and the result of the questionnaire. The questionnaire about the curriculum courses, teaching strategies and evaluation method was answered by 143 students at Busan Science Academy. The curriculum courses are composed of general courses and specialized courses: general courses comprise of Korean language, social studies, foreign languages, arts, and physical education. Specialized courses consist of mathematics, physics, chemistry, biology, earth science, information science. Elective courses are divided into basic elective courses and in-depth courses. Each in-depth course deals with more specialized content. The significant results of the questionnaire are as follows: First, according to gifted students' perception, the credits of specialized courses and in-depth elective courses need to be increased and the credits of general courses need to be reduced. Second, teachers at this school mainly use teaching strategies such as lecture, group activities and discussion, but the students prefer diverse teaching strategies such as lecture, discussion, experiment, individual research, problem solving and field studies. Third, students prefer a paper-and-pencil testing assesment rather than a written report assesment and lab experiment assesment. According to this study, the characteristics of the acceleration curriculum at Busan Science Academy were too intensive. Thus it is difficult to implement the enrichment education according to the demand of gifted students in this school. Therefore, this study suggests that we need to revise the curriculum courses of Busan Science Academy and develop contents and strategies for gifted education in science and mathematics.

• The Mathematical Education
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• v.57 no.1
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• pp.1-36
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• 2018

The purpose of this study is to examine the relationship between utilization of technology and TPACK in mathematics teachers, and to analyze needs and retentions, difference between needs and retentions, and educational needs of TPACK in mathematics teachers. Furthermore, we will prioritize TPACK items that mathematics teachers want to change, and provide implications for teacher education related to TPACK in the future. To do this, we analyzed 328 mathematics teachers nationwide by using survey on the utilization of technology, averages of TPACK's needs and retentions, t-test of two averages, Borich's educational needs analysis, and the Locus for Focus model. The results are as follows. Firstly, the actual utilization rate was lower than the positive recognition of utilization of technology by mathematics teachers, and many mathematics teachers mentioned the lack of knowledge related to TPACK. Secondly, the characteristics of in-service mathematics teacher's needs and retentions for TPACK were clear, and TPACK's starting line of in-service mathematics teacher can be different from pre-mathematics teacher's. The retentions was high in the order of CK, PCK and PK, and the needs was higher in the order of TPACK, TCK, TK and TPK. All of the higher retentions were knowledge related to PCK, and the value of CK was extremely high among them. In addition, mathematics teachers recognized needs for integrated knowledge related to technology, and they needed more TCK than TPK. The difference between needs and retentions showed that all items except two items in the PK were significant. Retentions of all items in CK was higher than needs, needs of all items in TK, TCK, TPK and TPACK was higher than retentions, PK and PCK were mixed. Thirdly, based on the analysis of Borich's educational needs and the Locus for Focus model, teacher education on TPACK for mathematics teachers needs to focus on TPACK, TK, TCK, and TPK. Specifically, TPACK needs to combine technology in terms of creativity-convergence, mathematical connections, communication, improvement of evaluation quality, and TK needs to new technology acquisition, function of utilizing technology, troubleshoot problems with technology, TCK needs to mathematical value(esthetic, practical) with technology, and TPK needs to consider technology in terms of evaluation methods, teaching and learning methods, improvement of pedagogy. Therefore, when determining the direction of teacher education related to TPACK in the future, if they try to reflect these items in detail, the teachers could participate more actively and receive practical help.

• Journal of Educational Research in Mathematics
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• v.27 no.2
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• pp.157-170
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• 2017

Mathematics was the main domain of PISA 2012, and both paper-based and computer-based assessment of mathematics (CBAM) were conducted. PISA 2012 was the first large-scale computer-based mathematics assessment in Korea, and it is meaningful in that it evaluated students' mathematical literacy in problem situations using dynamic geometry, graph, and spreadsheet. Although Korea ranked third in CBAM, the use of ICT in mathematics lessons appeared to be low. On the other hand, this study focused on Singapore, which ranked first in CBAM. The Singapore Ministry of Education developed online programs such as AlgeTools and AlgeDisc, and implemented the programs in classes by specifying them in mathematics curriculum and textbooks. Thus, this study investigated influential factors on computer-based assessment of mathematics by comparing the results of Korea and Singapore, and aimed to provide meaningful evidence on the direction of Korea's ICT-based mathematics education. The results showed that ICT use at home for school related tasks, attitudes towards computers as a tool for school learning, and openness and perseverance of problem solving were positively associated with computer-based mathematics performance, whereas the use of ICT in mathematics class by teacher demonstration was negatively related. Efforts are needed to improve computer use and enhance teaching techniques related to ICT use in Korean math classes. Future research is recommended to examine how effectively teachers use ICT in mathematics class in Singapore.

• Journal of the Korean School Mathematics Society
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• v.22 no.2
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• pp.163-182
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• 2019

The purpose of this study is to investigate the effects of educational context variables on achievement and interest in mathematics in high and low achieving students in Korea. Students participated in TIMSS 2015 in Korea were divided into two groups according to their achievement in mathematics. And the effects of educational context variables on achievement and interest in mathematics were analyzed in each group using the Hierarchical Linear Model(HLM). Main findings of this study are as follows. First, variables which influence achievement also influence interest but any variables which influence interest don't influence achievement in upper-group students. Number of Books and Students' Perceived Mathematics Lessons have strong influence on achievement and interest in both fourth and eighth grade students. Second, variables which influence achievement or interest in mathematics in lower-group also influence achievement or interest in mathematics in upper-group students. But any variables which influence achievement or interest in upper-group students don't influence achievement or interest in lower-group students. For examples, Parents' Education, Students' Perceived Mathematics Lessons have effects on upper-group students' achievement. Number of Books, Home Learning Environment, and Numeracy Activities Before School have significant effects on the achievement of fourth grade students. Students' Perceived Mathematics Lessons is the variable that influence on the interest of both fourth grade and eighth grade students. This study suggests the ways to improve mathematics teaching and learning based on these results.

• Communications of Mathematical Education
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• v.22 no.2
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• pp.109-124
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• 2008

A characteristic of the national mathematics curriculum revised in 2007 is to repeal the level-oriented individualized curriculum and choose substance of individualized teaching and learning based on the student's achievement level and quality. To do this we first have to think through how to compare students' achievement and differentiate classes. In this paper, we introduce the (modified) Angoff method as a method for comparing students' achievement and the concept of representative items for each achievement level in the National Assessment of Educational Achievement of Mathematics, and discuss how to use them in individualized teaching and learning, especially comparing students' achievement.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.1
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• pp.25-46
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• 2018

The purpose of this study is to investigate the effects of mathematics instruction for the formation of mathematics classroom culture on cognitive and affective domains of elementary school students. Two classes of 3rd grade elementary school in Seoul were chosen for the study. Twenty math classes were conducted, discussing the norms and using mathematical communication and journal writing activity was carried out. A mathematical achievement evaluation was performed for the inspection of the cognitive domains and a mathematical aptitude test was performed for the inspection of the affective domains. Research has shown that the mathematics classroom culture have a positive effect on the development of students' cognitive and affective domains. In particular, in the course of forming a mathematical classroom culture, students showed a change in the affective domain of a mathematics. Based on these findings, a change in teacher's perception of the importance of mathematics is needed and a variety of circumstances surrounding the students suggested the formation of a mathematical classroom culture.

• Communications of Mathematical Education
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• v.24 no.1
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• pp.235-257
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• 2010

Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.