• Communications of Mathematical Education
• /
• v.15
• /
• pp.129-134
• /
• 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 Educational Research in Mathematics
• /
• v.22 no.3
• /
• pp.401-427
• /
• 2012

The recent Korean mathematics curriculum stresses to teach mathematics focusing on mathematical process composed of problem solving, reasoning and communication. To be successful in applying the rationale of the process-focused mathematics education, the assessment practice in classrooms should be also centered on mathematical process. In this study we conducted a large-scale survey on teachers' perspectives about the process-focused mathematics assessment. First, we surveyed teachers' opinion on current assessment practices in school mathematics related to regular school exams and performance assessments. Second, we investigated teachers' perception on mathematical process components such as problem solving, reasoning, and communication regarding how they should be assessed. Finally, we examined the difference of teachers' opinion according to their teaching experience, city size, and the type of school. Based on the results, we discussed implications for mathematics assessment and process-focused mathematical assessment.

• Proceedings of the Korea Society of Mathematical Education Conference
• /
• 2009.10a
• /
• pp.45-76
• /
• 2009

본 연구는 1992학년도부터 2008학년도까지의 수학과 중등교사 신규임용후보자 선정 경쟁시험(이하 중등교사 임용시험)과 2009학년도의 개정 시행된 시험(2008년 11월 9일), 그리고 이에 앞서 한국교육과정평가원에서 시행한 2009학년도 수학과 중등교사 임용시험 모의평가(2008년 6월 14일 시행)을 분석하고 평가문항의 내용별 분포와 적절성을 검토함으로써 수학과 중등교사 임용시험의 개선방안을 모색하기 위하여 다음과 같은 연구문제를 설정하고 이에 대한 분석을 하였다. 수학전공과목 임용시험 출제 평가문항의 내용영역별 분류는 어떠한가? 수학과 중등교사 임용시험 평가 문항들의 각 영역별 출제 빈도수는 어떠한가? 전국 사범대학교 수학교육과의 교육과정은 어떠한가? 임용시험 평가문항들이 사범대 수학교육과의 기본 이수과목을 포함한 교육과정을 적절하게 반영하고 있는가? 향후 중등교사 임용시험의 개선점에는 무엇이 있겠는가? 각 연구문제에 대한 분석결과에 대해 심층적으로 알아보고 중등교사 임용시험 평가문항들과 전국의 사범대학교 수학교육과의 기본 이수과목들에 대한 관련성에 대해 알아볼 것이다.

• School Mathematics
• /
• v.17 no.2
• /
• pp.331-353
• /
• 2015

The purpose of this study is to investigate expertise of mathematic teachers in development of designing assessment items, derived from development of assessing tools, which is a part of assessing competence of mathematic teachers. Analysis was made upon the difference between Pre-service and In-service teachers in terms of self-perception on assessment items. The assessing references of self-perception on developing in designing assessment items consist of followings: one's Beliefs and Self-Rating in designing assessment items. This investigation on self-perception was carried out by both pre-service teachers who are currently enrolled students in college and in-service teachers who are currently incumbent in secondary schools. This analysis based on 310 teachers' answers on self-perception of designing assessment items, both in- and preservice.

• Journal of Educational Research in Mathematics
• /
• v.14 no.4
• /
• pp.347-366
• /
• 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 Elementary Mathematics Education in Korea
• /
• v.17 no.2
• /
• pp.301-319
• /
• 2013

This study is to explore the directions for developing the lesson assessment of the math textbook in elementary school level, which is to embody the recent trends of math assessment and the emphases about assessment given in the revised 2009 math curriculum. To this end, we examined the recent trends of math assessment and the assessment framework of RME (Realistic Math Education) as the theoretical backgrounds. Also we analytically looked at the math-assessment emphases given in the revised 2009 math curriculum, and tried to establish the directions for developing the lesson assessment of the math textbook on the basis of the preceding studies. In addition to, we gave the math items in line with the established directions about lesson assessment. Finally we suggested the issues in relation with the math assessment in the elementary school level.

• School Mathematics
• /
• v.15 no.1
• /
• pp.77-99
• /
• 2013

The purpose of this study is to develop authentic assessment model of school mathematics completed an integral part of the classroom in the real situation to do authentic assessment about students's mathematics learning ablity. To do this, it is performed literature researches on authentic assessment system of school mathematics, situation cognition class design model, Lincoln & Guba's the forth generation assessment model, NAEP high ability assessment model, Guliker & Bastiaens & Kirschner's authentic assessment model. And it is extracted authentic assessment elements of school mathematics from them, and it is developed authentic assessment model completed an integral part of the classroom in the real situation. This authentic assessment model of school mathematics is confirmed the proper model in assessing mathematical activities and achievement by applying authentic assessment tasks with class's integrated part, and each factor and phase was regarded as the proper thing in the teaching and learning for experts in studies of mathematical education.

• School Mathematics
• /
• v.14 no.1
• /
• pp.109-134
• /
• 2012

The purpose of this study is to develop authentic assessment model and example tools of mathematics teaching and learning. By reviewing literature researches, we set up the definition of authentic assessment in mathematics education, checked the criterian of authentic assessment tasks and mathematical activities. We searched various assessment models of mathematics teaching and learning, project assessment proceeding model, and criterian of project assessment, and checked various project tasks of the authentic assessment. And we developed authentic assessment model and example tools of mathematics teaching and learning. The model is applied project tasks in the form of being integrated with class to high school students, with high school mathematics especially. Furthermore, we carried the test of content validity for a validity of developed tasks for experts in studies of mathematics education. The result is that authentic assessment model and example tools of mathematics teaching and learning has an significance in mathematics education and can be used to judge whether students are doing 'real' mathematics or not, keeping the applicability in the form of being integrated with class.

• Communications of Mathematical Education
• /
• v.9
• /
• pp.31-40
• /
• 1999

요즈음 수학 수업에서 협동 학습을 활용하여 문제 해결을 하는 경우가 많이 늘었다. 학생들이 소집단에서 함께 활동하면 더 나은 문제 해결자가 된다는 것을 알기 때문이다. 그러나 학생들에게 협동적인 상황에서 문제 해결을 하게 하면서 그 평가는 개인 평가나 전통적인 평가에 그치는 경우가 많다. 소집단 협동 학습은 소집단의 구성원이 협동을 할 때 그 효과가 큰 것이며, 소집단 협동 학습에서의 평가는 소집단에 있는 학생들이 수행한 것을 참되게(Authentic) 평가하여야 문제 해결에 대한 올바른 정보를 얻을 수 있고 각 학생들로 하여금 협동 학습에 적극적으로 참여하여 문제를 해결하게 할 수 있다. 만일 협동적인 문제 해결을 하였는데 개인 평가를 실시한다면 학생들은 집단에서 협동할 필요성을 적게 느끼게 되어, 학생들은 협동 학습에 적극적으로 참여하지 않으려 할 것이다. 1990년대 수학교육에 많은 영향을 끼치고 있는 NCTM의 Curriculum and Evaluation Standard for School Mathematics에서도 수학 지도 방법과 평가 방법이 일치하여야 한다고 강조하고 있다. 본고에서는 이와 같은 필요성에 의거하여 수학과 소집단 협동 학습의 유형을 알아보고, 협동적 문제 해결의 평가 방법을 알아보고자 한다.

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