• School Mathematics
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• v.19 no.3
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• pp.495-511
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• 2017

The purpose of this study is to research the meaning of core ideas and to compare the core ideas in mathematics curriculum of each country. I derived that the core ideas were approached and presented in curriculums of South Korea, The United States, Canada, Australia, New Zealand, Singapore as several perspectives; the main domains of mathematics contents which should be taught; the basis of the core principles between of mathematical contents; the focuses for teaching and learning in school mathematics. Finally, I discussed the further research direction on the contents of core ideas and the methods of presenting it to teach meaningfully the core mathematical contents to students who will live in the future.

• Journal of the Korean School Mathematics Society
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• v.24 no.4
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• pp.391-405
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• 2021

In this study, 'data collection', 'data expression', 'data analysis, and 'optimization and decision-making' were selected as the core AI concepts to be dealt with in the mathematics for AI education. Based on this, the degree of reflection of AI core concepts was investigated and analyzed compared to the mathematical core concepts and content of each area of the elective course. In addition, the appropriateness of the content of was examined with a focus on core concepts and related learning contents. The results provided some suggestions for answering the following four critical questions. First, How to set the learning path for ? Second, is it necessary to discuss the redefinition of the nature of ? Third, is it appropriate to select core concepts and terms for ? Last, is it appropriate to present the relevant learning contents of the content system of ?

• School Mathematics
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• v.17 no.1
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• pp.99-118
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• 2015

The purpose of this study is to investigate teachers' perception of core competencies and affective aspects in mathematics. For this purpose, a nationwide survey was conducted. The survey questionnaire consists of three core competencies including problem solving, reasoning and communication, and two affective aspects including good human nature and attitudes. The survey results were further analyzed based on school level, teaching experience, location of schools, and types of high schools. As a result, four findings were identified. First, elementary school teachers tend to put more emphasis on core competencies and affective aspects than secondary school teachers do. Second, in elementary school level, longer teaching experience is correlated with more positive perception of core competencies and affective aspects. However, there was an opposite tendency in secondary school level. Third, teachers working at schools in metropolitan cities tend to emphasize core competencies and affective aspects more than those at schools located in mid-sized cities and rural areas. Fourth, the school types in high school didn't seem to affect the teachers' perception on core competencies and affective aspects.

• Journal of Educational Research in Mathematics
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• v.24 no.1
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• pp.45-65
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• 2014

Today, people need to prepare key competencies demanded for life to be worthy of individual and to be successful for not only individual life but development of society. We can look for these competencies in the process of analysing of present and future society. On the basis of this cognition we desire to suggest certain key competencies in korea mathematics curriculum and to investigate how to realize them in this paper. First, we investigated key competencies demanded generally from several articles to deal with key competencies. Secondly, we inspected backgrounds and processes of implementing mathematics curriculum in Korea and Japan and checked the reason for laying key competencies on the center of curriculum. Thirdly, we arranged key competencies suggested in mathematics curriculum of two countries and compared how to realize them. Finally, on the ground of third contents we proposed current affairs to Korea mathematics curriculum.

• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.605-625
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• 2012

This study examined how 132 teachers of different grade levels incorporate the key competencies identified by Korea Institute for Curriculum and Evaluation into their mathematics teaching and how they perceive of its full potential of the competency-based learning and teaching in mathematics classroom. Survey and semi-structured interview methods were used to collect data for the study. It was found that in their instruction teachers emphasized competencies such as problem-solving, literacy, creativity, communication and information-processing skills in order. Inter-personal skills, self-management, citizenship, global understanding and career-development appeared to be challenging competencies for teachers to reflect in their instruction with the reasons such as no direct connections to mathematics and insufficient instruction. Findings of the study suggest that various instructional methods, development and dissemination of related curricula materials, change of evaluation method, and change teachers' perceptions may be needed for incorporating KICE's key competencies in K-12 mathematics education.

• Communications of Mathematical Education
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• v.27 no.2
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• pp.99-119
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• 2013

This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

• Communications of Mathematical Education
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• v.34 no.2
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• pp.135-160
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• 2020

The purpose of this study is to draw implications for improving the method of reflecting the competencies in Korea mathematics curriculum, by analyzing what competencies are reflected in foreign mathematics and curriculum. As a result of the study, foreign countries were reflecting their competencies in mathematics curriculum in various ways. In France mathematics curriculum, the achievement standards of learning competencies(compétences travaillées) that students should reach by cycle were presented, and the related common competencies(socle commun) were indicated. In Australia's mathematics curriculum, the general capabilities for achievement standards were identified, and the achievement criteria for proficiency strands to be reached by grade level were presented. British Columbia's mathematics curriculum actively reflected its competencies. In the mathematics curriculum, domains were reorganized based on the competencies, and achievement standards of the competencies were proposed. The results of this study will help in improving the ways in which were reflected competencies in mathematics curriculum.

• The Mathematical Education
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• v.60 no.3
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• pp.297-319
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• 2021

The present study explored a relationship between mathematical understandings of teachers and ways in which their knowledge transferred in designing lessons for hypothetical students from Gess-Newsome (1999)'s transformative perspective of pedagogical content knowledge. To this end, we conducted clinical interviews with four secondary mathematics teachers of their solving and teaching of equation writing. After analyzing the teacher participants' attention to Key Developmental Understandings (Simon, 2007) in solving equation writing, we sought to understand the relationship between their mathematical knowledge of the problems and mathematical knowledge in teaching the problems to hypothetical students. Two of the four teachers who attended the key developmental understandings solved the problems more successfully than those who did not. The other two teachers had trouble representing and explaining the problems, which involved reasoning with improper fractions or reciprocal relationships between quantities. The key developmental understandings of all four teachers were reflected in their pedagogical actions for teaching the equation writing problems. The findings contribute to teacher education by providing empirical data on the relationship between teachers' mathematical knowledge and their knowledge for teaching particular mathematics.

• Education of Primary School Mathematics
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• v.15 no.2
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• pp.77-89
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• 2012

Considerable efforts have been attempted to identify what makes high-quality mathematics instruction, including diversity and variability across different educational systems and cultural contexts. As the instructional elements related to effective mathematics teaching can be commonly applied to different content domains, they may be efficient in selecting such teaching. However, such elements may not reflect on the specific but essential features of each domain. This paper compared and contrasted two sets of measurement teaching practices, which were recognized as good instruction, in terms of how the key elements of measurement domain were implemented. As such this paper is expected to accumulate significant knowledge about elements of effective mathematics instruction that are specialized in a particular content domain of measurement. This paper suggests that domain-specific approach be considered in studying good mathematics teaching.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.17-26
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• 2004

This paper claims that an essential characteristic of modernism is mathematization, and introduces how mathematization was deployed in the eighteenth century. It also points out problems caused by mathematization.