• Journal of the Korean School Mathematics Society
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• v.14 no.1
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• pp.85-100
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• 2011

A formal name of the college scholastic ability test of China is P$\check{u}$tongg$\bar{a}$od$\check{e}$ngxu$\acute{e}$xi$\grave{a}$o zh$\bar{a}$osh$\bar{e}$ng Qu$\acute{a}$ngu$\acute{o}$ t$\check{o}$ngy$\bar{i}$k$\check{a}$osh$\grave{i}$(普通高等學校初生全國統一考試), abbreviated to Gaokao(高考). Gaokao is very similar to Korea's College Scholastic Ability Test in that the two exams are measuring test-taker's knowledge and ability included in highschool curriculum and that they are the selective examinations which persons with at least a high school diploma or the equivalent apply for. Therefore, helpful implications for College Scholastic Ability Test of Korea can be drawn from the study of assessment contents and construction of mathematics in Gaokao.

• Communications of Mathematical Education
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• v.12
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• pp.1-19
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• 2001

유치원과 초등학교 1학년 아동은 그들의 발달특성과 학습의 효율성 측면을 고려할 때, 일상생활 경험과 놀이 활동 등을 이용한 활동중심 교육방법으로 상호 연계성있게 수학을 학습하는 것이 바람직하다. 이러한 필요성에서, 본 연구는 현행 교육과정 상에 제시된 수학교육의 성격과 목표, 내용, 교수방법, 평가 면에서 유치원과 초등학교 1학년 간에 얼마나 연계되어 있는 지를 분석해 보았다. 분석 결과, 유치원과 초등학교 1학년 수학 교육과정 간에는 수학교육의 방향 및 목표, 내용 영역, 교수학습 방법, 평가 면에서 대체로 높은 연계성을 보였다. 그러나 교과 편제나 명칭, 세부적인 내용 구성에서 차이가 있었으므로 이를 해결하기 위한 교육과정 상에서의 연계 실천 방안을 제시해 보았다. 그리고 실제 수학 교육 활동측면에서의 실천 방안으로서 활동중심 교수학습 자료의 개발, 수학 영역 설치를 통한 개별화 교육의 실천, 가정과의 협력 방안 등을 제시해 보았다.

• School Mathematics
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• v.11 no.3
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• pp.369-387
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• 2009

Recently there has been a high request for support for teachers' professional development and quality control to meet the demand of educational policy to introduce teacher evaluation, master teacher status, incentives for teacher competency, etc. It has been suggested that reeducation and support for professional development would be more effective to beginning teachers with a high developmental potential than to experienced teachers with routinized instruction. Since 2005, KICE-TLC has conducted research on the development of teacher supporting programs such as teaching consultation and pedagogical content knowledge(PCK) in school subjects. In line with the current education policy and previous research by KICE, this research has been conducted to meet the need for novice teacher induction by developing consulting program focused on PCK. The goal of this research was to (1) explore the in-depth meaning of PCK in light of teaching consultation, (2) conduct a preliminary study on how to develop teaching consulting programs for secondary beginning teachers, (3) develop teaching consulting programs focused on pedagogical content knowledge (PCK), and (4) suggest implications for educational policy regarding pre-service and in-service teachers' continuing professional development and support.

• School Mathematics
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• v.9 no.2
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• pp.223-240
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• 2007

The purpose of this study was to investigate the degree to which the middle school mathematics curriculum matched the item difficulty levels of representative mathematics items. The items used in this study were developed for the National Assessment of Educational Achievement. Ranks for difficulty values of the 60 multiple-choice item were calculated via both Classical Test Theory and Item Response Theory and correlated with the rank order of the mathematics content and cognitive domains sequence. There are six content domains; number and operation, algebra, measurement, figure, pattern and function, and probability and statistics. The cognitive domains include computation, understanding, reasoning and problem-solving. Results suggest a congruence between cognitive domain's sequence and item difficulty levels of items based on that sequence. This finding indicates that the linear or hierarchical assumptions concerning the sequence appears to be reasonable. The characteristics of items that were exceptions to this trend were addressed.

• School Mathematics
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• v.15 no.3
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• pp.503-531
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• 2013

This study aims to investigate how secondary mathematics teachers use mathematics curriculum materials such as textbooks and teachers' guide in planning lessons and for their learning. 24 in-service mathematics teachers participated in surveys and two among them were interviewed. The findings from the data analysis suggest that: a) the teachers actively engaged in decision-making processes of the transition from written curriculum to intended curriculum; and b) the teachers showed a tendency of consulting to the ideas suggested in the curriculum materials for selecting objectives and contents for lessons and the what to assess, not ideas for selecting teaching methods and how to assess. Also, various factors such as students' achievement, participation, interest in mathematics, family environment, and college entrance were identified to influence the teachers' use of the curriculum materials.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.271-293
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• 2007

Mathematics workbook is developed according to the amendment of the 7th national curriculum of mathematics. This study polled 300 national mathematics teachers in the elementary school, middle school, and high school to find out what they think in conjunction with the introduction of mathematics workbook such as needs for mathematics workbook, teachers' recognition about the system of mathematics textbook and workbook which are proper for lesson of achievement level and organization of mathematics workbook before using the mathematics workbook in school. As a results, mathematics teachers want the introduction of workbook because it helps students' self-regulated learning of mathematics and it is material very valuable for teachers to give lessons of achievement level. Also, we suggest the organization and contents of mathematics workbook on the base of our survey. Mathematics workbook has a lot of exercises assessing into the upper, intermediate, lower level in the contents, concepts of mathematics learning. It has the items developed with various problem solving methods and emphasis on performance tests, an essay-type examination and a periodical assessment. It has the problem posing items and the corner that helps students revise their mathematical errors and proposes useful, interesting mathematical activities and the commentary of a correct answer to questions at the tail of the book.

• 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.

• School Mathematics
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• v.6 no.1
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• pp.21-35
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• 2004

This article was to develop a tool and apply it to the high school classrooms for the performance assessment in trigonometry Bloom(1956)'s cognitive domain and holistic rubric and analytic rubric(NCTM, 1999) were used to guide the development of 12 problems. To find validity and credibility of this developed tool, Cronbach n and Rasch's BIGSTEPS were used with the samples of high students, 208, using SPSS 10.0K. The results from the investigation, indicated that the tool was very worth assessing students' achievement and there was no difference between the areas where students lived, but were differences between genders as well as between a specialized high school and preparatory high schools.

• Journal of the Korean School Mathematics Society
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• v.25 no.2
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• pp.175-194
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• 2022

This study intends to suggest implications by comparing the high school mathematics curricula between Korea and the UK ahead of the 2022 revision of the mathematics curriculum. The UK has revised assessments to emphasize mathematics after age 16 since 2017. Thus, in this study, the contents of Key Stage 4, Core Maths and A-level, which correspond to the UK high school mathematics curriculum, were examined and compared with Korean high school math subjects. In the UK, mathematics education is more emphasized at the high school level. The national curriculum emphasized 'numeracy and mathematics', and students' selection for mathematics courses were expanded. In order to prepare for the future society, new mathematics subjects and evaluations were developed and implemented, and the A-level mathematics was improved. In addition, the subject-centered content was developed and continuously handled from Key Stage 3 to the high school stage. It was structured to facilitate mathematics' internal and external connection by linking it with the subjects of other areas.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.371-402
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• 2016

The aim of this study is to compare mathematics curriculum among the United States, Singapore, England, Japan, Australia and Korea and offer suggestions to improve mathematics curriculum of Korea in the future. In order to attain these purposes, the analysis was conducted in many aspects including mathematics education system, mathematics courses, mathematics contents, assessment syllabus for university entrance examination and the construction principles of mathematics curriculum. In the light of the results of this study, our suggestions for improving mathematics curriculum of Korea are as follows: revising the contents of analysis, geometry, probability and statistics strands; organizing curriculum based on spiral construction principle; providing various opportunities to select mathematics courses according to students'career; reflecting the contents of their courses in university entrance examination.