수학교육의 교수-학습 참평가 모형 및 예시 도구 개발 - 프로젝트법을 중심으로 - = A Study on Authentic Assessment Model and Example Tools Development of Mathematics Teaching and Learning

다국어 초록 (Multilingual Abstract)

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.

국문 초록 (Abstract)

본 연구의 목적은 실제 상황에서 수업과 통합된 형태로 이루어지는 수학교육의 교수-학습 참평가 모형과 예시 도구를 개발하는 것이다. 이를 위해 문헌연구를 통하여 수학교육에서의 참평가를 정의하고, 참평가 과제 준거와 진정한 수학적 활동이 무엇인지 살펴보았다. 참평가 수업설계 모형으로는 상황인지 수업설계 모형, 수학과 교수-학습 평가 모형, 프로젝트 평가 절차 모형을 살펴보았다. 프로젝트법을 적용한 수학과 참평가 과제 개발은 수학과 프로젝트의 유형인 실생활 문제해결형, 타교과 연계형, 수학사 활용형, 신문활용 교육형, 수학적 모델링형, 주제탐구형을 택하여, 수학과 참평가 과제 준거에 맞는 내용으로 선정하였다. 개발한 과제는 수학교육전문가에게 내용타당도를 의뢰하였고, 평가기준의 적절성을 검증받았다. 개발한 수학교육의 교수-학습 참평가 모형과 예시도구는 고등학교 학생들에게 적용해 봄으로써 학생 반응 결과와 시사점을 도출하였다. 그 결과 개발한 수학교육의 교수-학습 참평가 모형과 예시 도구는 수학교육에서 참평가를 실시하는데 의미있게 사용되어질 수 있는 것으로 여겨진다.

참고문헌 (Reference)

1 성태제, "현대교육평가" 학지사 2005

2 이간용, "지리교육의 지능공정한 참평가 모형개발과 적용" 서울대학교 대학원 2001

3 백순근, "수행평가: 이론적측면" 교육과학사 2002

4 황혜정, "수학교육학신론" 문음사 2007

5 강옥기, "수학과 학습지도와 평가론" 경문사 2007

6 박경미, "수학과 수행평가, In 수행평가의 이론과 실제" 원미사 1999

7 박경미, "수학과 수행평가 프로젝트법의 의의와 실제" 1 (1): 723-745, 1999

8 최택영, "수학과 수행평가 절차 모형 연구" 4 (4): 9-27, 2001

9 신현성, "수학과 수업모형 및 설계" 경문사 2004

10 장경윤, "수학 교수-학습에서 수행평가의 의의와 활용" 7 (7): 1997

11 Mayer, C, "What's the difference between authentic and performance assessment?" 49 (49): 39-40, 1992

12 Baron, J. B, "Toward a new generation of student outcome measures: Connecticut’s Common Core of Learning Assessment" 1989

13 Mueller, J, "The Authentic Assessment Toolbox: Enhancing student learning through online faculty development" 2005

14 Silver, E. A, "Sources of Assessment Information for Instructional Guidance in Mathematics, In Reform in School Mathematics and Authentic Assessment" State University of New York Press 1995

15 National Council of Teachers of Mathematics, "Principle and Standards for School Mathematics" NCTM 2000

16 Pandey, "Practical Assessment Research & Evaluation" 1990

17 Vermont Department of Education, "Looking beyond the answer: Vermont's mathematics portfolio assessment project" Vermont Department of Education 1991

18 Romberg, T. A, "Issues Related to Development of an Authentic Assessment System for School Mathematics, In Reform in School Mathematics and Authentic Assessment" State University of New York Press 1995

19 Romberg, T. A, "Evaluation: A Coat of Many Colors, In Mathemtics Assessment and Evaluation" State University of New York Press 1992

20 Biggs. J, "Enhancing teaching through constructive alignment" 32 : 347-364, 1996

21 Wiggins, G. P, "Educative assessment: Designing assessments to inform and improve student performance" Jossey-Bass Publishers 1998

22 Moon, "Development of Authentic Assessments for the Middle School Classroom" 16 (16): 110-133, 2005

23 Brookhart. S. M, "Developing measurement theory for classroom assessment purposes and uses" 22 (22): 1-5, 2003

24 Surtamm, C. A, "Developing Authentic Assessment: Case Studies of Secondary School Mathematics Teachers' Experiences" 2004

25 Clarke, D, "Communication and the learning of mathematics, In Mathemtics Assessment and Evaluation" State University of New York Press 1992

26 Archbald, D, "Beyond standardized testing: Assessing authentic academic achievement in the secondary school" National Association of Secondary School Principals 1988

27 Herrington, J, "Authentic conditions for authentic assessmant: Aligning task and assessmant" HERDSA Research Review 2006

28 Niss, "Assessment in Mathematics Education and its Effects : An oduction, In Investigations into Assessment in Mathematics Education" Kluwer Academic Publishers 1993

29 Van den Heuvel-Panhuizen. M, "Assessment and Realistic Mathematics Education" Utrecht University 1996

30 National Council of Teachers of Mathematics, "Assessment Standards for School Mathematics" NCTM 1995

31 Lesh, R, "Assessing Authentic Mathematical Performance : Assessment of Authentic Performance in School Mathematics" American Association for the Advancement of Science 1992

32 Young, D, "An Experiment in Instructional Method of Related Acievement" 8 : 1992

33 Reeves, "Alternative assessment for constructivist learning environments, In Constructivist learning environments: Case studies in instructional design" Educational Technology Publications 191-202, 1996

34 California State Department of Education, "A question of thinking: A first look at students’ performance on open-ended questions in mathematics" California State Department of Education 1989

35 Greeno, J, "A perspective on thinking" 44 : 134-141, 1989

36 Zarinnia, E. A, "A framework for the California Assessment Program to report students’ achievement in mathematics" National Center for Research in Mathematical Sciences Education 1990

37 Zarinnia, E. A, "A framework for the California Assessment Program to report students'achievement in mathematics, In Mathemtics Assessment and Evaluation. Imperatives for mathematics educators" SUNY Press 242-284, 1992

38 Wiggins, G, "A True Test: Toward More Authentic and Equitable Assessment" Phi Delta Kappen 703-713, 1989

39 Newmann, F. M, "A Guide to Authentic Instruction and Assessment: Vision, Standards and Scoring"

40 Lajoie, S. P, "A Framework for Authentic Assessment in Mathematics, In Reform in School Mathematics and Authentic Assessment" State University of New York Press 1995

41 Lajoie, S. P, "A Framework for Authentic Assessment in Mathematics" NCRMSE Research Review 6-11, 1991

42 Gulikers, J. T. M, "A Five-Dimensional Framework for Authentic Assessmant" 52 (52): 67-86, 2004