• Journal of Educational Research in Mathematics
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• v.14 no.4
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• pp.347-366
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• 2004

Recently, there have been many assessment researches in Korea. The aim of this study is to reflect on framework for mathematics assessment in RME which is based on Jan de Lange's assessment theory and to induce desirable directions for our mathematics assessment in nation-level and class-level. In order to attain these purposes, the present paper reflects the philosophy of RME, Jan de Lange's framework for mathematics assessment, assessment framework of the unit 'Side Seeing', one of Mathematics in Context textbook series, as an exemplar to which Jan de Lange's framework is applied. Based on these reflections, it is discussed that it needs to specify achievement standards presented in mathematics curriculum more particularly in order to have framework including mathematical abilities of level 2 and level 3 in Jan de Lange's framework appropriate to our situations, to apply the framework to nation-level and class-level consistently, and to enhance abilities of teachers and student teachers for mathematics assessment.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.497-520
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• 2006

The purpose of the study was to construct future research basis for large scale assessment framework by analyzing current domestic and international large scale assessment frameworks. Six frameworks were compared and analyzed. The characteristics of TIMSS, PISA, NAEP, NECAP were described in detail, and three frameworks, Korea, the United States, and International, were compared and analysed.

• Journal for History of Mathematics
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• v.21 no.3
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• pp.157-182
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• 2008

TIMSS 2003 is the third and most recently round of IEA's Trends in International Mathematics and Science Study. In this study, I considered the changes of the mathematics cognitive domain in TIMSS and got some facts for developing assessment framework. And I analyzed 7 countries' achievement in the view of our country Korea, i.e. Singapore, Hongkong, Chinese Taipei, Japan, Netherlands, and Unites States. With the reliable and valid achievement scales for cognitive domains given by ISC, students' achievement scales were analyzed according to country, percentile, and sex in each cognitive domain.

• Journal of the Korean School Mathematics Society
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• v.23 no.3
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• pp.299-321
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• 2020

PISA, organized by the OECD, started with the worries about what competencies students need in preparation for a changing future society. Starting with the first main survey in 2000, PISA, which was administered every three years, is preparing for the eighth cycle. PISA 2022 is a cycle in which mathematics becomes the main domain in 10 years, and the definition of mathematics literacy, mathematical framework, and illustrative examples were released. Therefore, in this study, the definition of PISA mathematics literacy and the trends on the mathematical framework were examined, and the characteristics of the illustrative examples introduced together with the PISA 2022 mathematical framework were analyzed. Through this, implications were drawn for the successful implementation of the 2015 revised curriculum and assessment.

• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.157-175
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• 2015

This study was conducted with the aim to develop and improve the assessment literacy of teachers which enables it to develop and utilize the assessment items using a wide range of contexts on the basis of an understanding of math contents and mathematical process specified in the math curriculum and to analyze the results in an effective way. To analyze the changes in the development and improvement of the assessment literacy of preservice math teachers, the author of this study, using PISA items and assessment framework, analyzed the changes through the 1st and 2nd development of assessment items. The results showed the assessment literacy of preservice math teachers and their ability have been improved, implying that there is the necessity to develop a wide range of programs to improve the assessment literacy of preservice math teachers and provide such programs on a regular basis, which will facilitate effective math teaching and learning.

• Communications of Mathematical Education
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• v.15
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• pp.129-134
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• 2003

수학과의 평가는 수학의 학습 내용에 대한 학생들의 성취도를 다양한 유형의 평가기법을 이용하여 파악하고, 이를 통해 수학교육의 질을 관리하는데 그 목적이 있다. 그러나 지금까지의 대부분의 평가는 수학교육의 본질이라 할 수 있는 학습자의 수학적 사고력을 제대로 측정하지 못하고 단편적인 수학적 지식을 결과 위주로 평가하는 데 만족해 왔다. 한편으로는 지극히 교과서적이고 인위적인, 단지 문제를 위한 수학 문제는 수학 무용론을 부추기기도 하였다(박경미, 1998). 이와 같은 수학과의 위기를 탈출하기 위해서는 결과만을 고려하는 선다형의 문제가 아닌 과정을 중시하는 서술형 주관식 문제, 기능 위주의 고립된 수학적 지식을 측정한 학업성취 결과보다는 수학 학습에 대한 태도나 노력, 관심, 탐구적 활동 그리고 성향 등 정의적 영역의 평가가 절실히 요구된다. 따라서 기존의 지필 검사를 뛰어넘는 다양한 평가의 틀이 요구된다 하겠다. 이런 점에서 1999학년도부터 시행되고 있는 고등학교에서의 수행평가는 변화하는 교육기조의 교수 ${\cdot}$ 학습에 대한 적절한 평가의 한 방법이라 생각된다. 이에 본 연구는 다양한 평가의 틀 가운데 수학과 수행평가에 관한 고찰을 통해서 현장에서의 수행평가활용 방법을 찾는데 있다.

• Journal of the Korean School Mathematics Society
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• v.23 no.4
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• pp.449-468
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• 2020

TIMSS is a representative international comparative study that analyzes changes in mathematics and science achievement, and it collects information on the educational system, curriculum, teaching and learning situation of participating countries as well as research and check, and provides implications for each country's mathematics and science education. Although domestic TIMSS studies focused on the results of achievement related to the evaluation of mathematics, not many have taken a closer look at the content and characteristics of the assessment framework. Therefore, the purpose of this study was to analyze the characteristics of the TIMSS 2019 mathematics assessment framework, and to derive implications for the mathematics curriculum and mathematics learning by examining the students' study time in light of the Korean mathematics curriculum. The implications derived from the results of this study are summarized as follows: First, it is necessary to check the connection between content elements in the mathematics and education process. Second, it is necessary to check the appropriateness and connectivity of the learning timing of the content elements in the mathematics and education courses. Finally, it is necessary to verify that the hierarchy of content areas and the structure of content systems in mathematics and education courses are consistent with the direction of mathematics education at the international level. This study can be used as a basis for mathematics and curriculum revisions, and can be used to set directions for the development of large-scale evaluation frameworks.

• Journal of Elementary Mathematics Education in Korea
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• v.5 no.1
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• pp.19-36
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• 2001

The aim of the study is to explore some problems that we have to solve to execute assessments effectively and in agreement with the objectives of them. We analysed the practices of some assessments Including our national assessment of educational achievement and the third international mathematics and science study with focussing on the frames of assessments, the analyses of results, and the items presented in the assessments. The results of the study are the following. Firstly, we need to make the frame of assessment to agree with the objectives of assessment and to reflect the characteristics of the item related to a few areas. Secondly, we need to analyse the results of assessment with reflecting the frames of assessment. Thirdly, we need to discuss more concretely on the level and presentation of items including the order of conditions to need to solve the items. And lastly, we need to minimize the difference caused by the variations of translation in the international assessments.

• The Mathematical Education
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• v.60 no.2
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• pp.209-228
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• 2021

The purpose of this study is developed the Item Feature Analysis (IFA) frameworks for curriculum-based assessments, focusing on Math competency and representation in secondary schools and implemented the IFA in National Assessment of Educational Achievement. To conduct the study, previous studies were analyzed, and feasibility studies were conducted twice. As a result of the study, we structured the IFA framework based on the 2015 revised mathematics curriculum in Korea and developed a method to analyze the characteristics of the math items. The results of structuring the framework for math included two categories: math competency in the content aspects, and representation type in the formal aspects. Specifically, 12 features of math competency and 8 features of representation type were identified, and an item feature analysis framework composed of these features was developed. The math competency was developed based on the subject competency of 2015 national curriculum. Math assessments in high schools, which have been changed to the competency-based assessments, had more frequency of the feature of math competency compared to middle schools. In this study, implemented the IFA in National Assessment of Educational Achievement and explored the way of ensuring the validity. These have been proved as critical applications for ensuring the validity of curriculum-based student assessment as well as building a tool for assessment.

• Journal of the Korean School Mathematics Society
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• v.14 no.2
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• pp.123-142
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• 2011

Recently, a number of researches acknowledge the importance of 'reflection' and 'reflective teacher education,' and they highlight the implication of 'reflection' on the teacher's profession or the teacher education. The reflective thought is interpreted as a subject that should be taught or a sort of strategy that a teacher should learn, while the aspect is excluded that reflection is the interaction between the innate knowledge and the practice. As a result, the reflective teacher education programs that increase the level of reflection are developed and practiced, and the reflection is accepted as a tool for increasing teacher professionalism. Reflective teaching is en essential and basic element for the development of teacher knowledge. In particular, such teacher knowledge might be being gradually expanded by a teacher's self-assessment on reflection on his own instruction. For this reason, this study develops an assessment framework on instruction which is comprized of teacher knowledge and instructional process. To accomplish this, in this study, teacher knowledge is considered as a whole practice knowledge combined by subject matter knowledge, understanding of learners, teaching and learning methods and assessment, and instructional environment. Also, success on instruction in mathematics class might depend on the acquisition of teacher knowledge, instructional planning, instructional execution, and furthermore reflection on instruction. Especially, this study emphasizes that 'reflection on instruction', the most important step of instruction be reflected and examined by the teacher himself.