National Science Education Standards

미국의 “전국 수학 교사 협의회”(National Council of Teachers of Mathematics, NCTM)는 1989년부터 〈학교 수학의 교육과정과 평가 규준〉(1989), 〈수학 가르침(교수)의 전문성 규준〉(1991), 〈학교 수학의 평가(시험) 규준〉(NCTM, 1995), 〈학교 수학의 원리와 규준〉(2000)을 출판하여 미국의 수학 교육 의 전망(목표, 나아갈 길)과 규준(실행 지침)을 제시하였다. 수학 교사들로 구성된 미국의 NCTM은 학생, 학부모, 학교 행정가 등 많은 사람들과 힘을 합하여 모든 학생들에게 수준 높은 수학 교육을 받을 수 있는 여건(환경, 기회)을 조성하는 데 구심점의 역할을 하였다. 한편 많은 관련 단체들은 여러 배경과 능력을 가진 학생들이 전문성을 지닌 교사(특수 교사를 일컫는 밀이 아니다. 수학 교과를 이해하고 수학의 전문성과 특수성을 가르칠 수 있는 일반 교사를 일컫는 말이다.)로부터 미래를 대비해 평등하고, 진취적이며, 지원이 잘 이루어지고, 공학 도구(IT)가 잘 갖춰진 환경에서 중요한 수학적 아이디어를 이해하면서 학습할 수 있는 수학 교실(미국에서는 우리나라처럼 수학 교사가 수학 시간에 학생의 방(교실: Homeroom)에 찾아가지 않고 학생들이 선생의 방(수학 교실: Classroom)을 찾아온다. 전형적인 수학 교실의 사진은 2쪽에 나와 있다.)을 만들기 위해 함께 힘썼다. NCTM에서 출간한 여러 규준들은 우리나라의 제6차와 제7차 교육과정에도 큰 영향을 미쳤다. 이 글에서는 NCTM(2000)에서 제시한 학습 원리를 간단히 살펴본 다음 이를 중심으로 현재 미국 수학 교육의 교수ㆍ학습 이론의 동향을 살펴본다.

미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론

June . Approaches to evaluating teacher effectiveness: A research synthesis.

Commentaries regarding appropriate methods for researching professional development have been a frequent topic in recent issues of Educational Researcher as well as other venues. In this article, the authors extend this discussion by observing that randomized trials of specific professional development programs have not enhanced our knowledge of effective program characteristics, leaving practitioners without guidance with regard to best practices. In response, the authors propose that scholars should execute more rigorous comparisons of professional development designs at the initial stages of program development and use information derived from these studies to build a professional knowledge base. The authors illustrate with examples of both a proposed study and reviews of evidence on key questions in the literature.

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Professional Development Research Consensus, Crossroads, and Challenges

This research synthesis examines how teacher effectiveness is currently measured. By evaluating the research on teacher effectiveness and the different instruments used to measure it, this research synthesis contributes to the discussion of appropriate rigor and relevance of measures for different purposes (i.e., formative vs. summative evaluation). The findings are presented along with related policy implications. In addition, the synthesis describes how various measures have been evaluated, explains why certain measures are most suitable for certain purposes (highstakes evaluation vs. formative evaluation, for instance), and suggests how the results of the study might be used to inform the national conversation about teacher effectiveness. A comprehensive definition of the components and indicators that characterize effective teachers is provided, extending this definition beyond teachers’ contribution to student achievement gains to include how teachers impact classrooms, schools, and their colleagues as well as how they contribute to other important outcomes for students. Through this synthesis, the National Comprehensive Center for Teacher Quality (TQ Center) hopes to provide some practical guidance in how best to evaluate teacher effectiveness. National Comprehensive Center for Teacher Quality Approaches to Evaluating Teacher Effectiveness—1

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Approaches to Evaluating Teacher Effectiveness: A Research Synthesis.

This article describes the development of artifact collection and scoring procedures to characterize classroom practice in mathematics and science. A data collection tool called the "Scoop Notebook" was used to gather artifacts related to key features of classroom practice, such as teachers' use of instructional materials and strategies, classroom learning activities, and students' work. Pilot studies were conducted in a small number of middle school science and mathematics classrooms to provide initial information about the reliability, validity, and feasibility of artifact collections as measures of classroom practice. The pilot studies yielded positive results, indicating that the Scoop Notebook and associated scoring guide have promise for providing accurate representations of what teachers and students do in classrooms. Due to the small sample size, results are most appropriately used formatively, to help improve artifact collection procedures before they are tested on a larger scale.

Shannon Moncure

Papers

Artifact Packages for Characterizing Classroom Practice: A Pilot Study