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

the cambridge handbook of the learning sciences is available in our digital library an online access to it is set as public so you can download it instantly. Our books collection spans in multiple locations, allowing you to get the most less latency time to download any of our books like this one. Merely said, the the cambridge handbook of the learning sciences is universally compatible with any devices to read.

The Cambridge Handbook Of The Learning Sciences

McKenney, S. (2012, 4-5 September). What is educational design research? Invited lecture for the Crossfield Graduate School at the University of St. Gallen, St. Gallen, Switzerland.

What is educational design research

/pdf/review-of-principles-to-actions-ensuring-mathematical-2na9nugf41.pdf

Review of Principles to Actions: Ensuring Mathematical Success for All

The National Council of Teachers of Mathematics

An assessment-based model for exploring the solving of mathematical problems: Utilizing revised bloom’s taxonomy and facets of metacognition

Managing mathematical discussion is known to be challenging for novice teachers. Coaching within student teacher rehearsals of teaching has been shown to develop mathematics teaching practice, but can be time consuming. To examine how coaching using questions could assist novice teachers to promote mathematical thinking and discussions within time-constrained programmes, videos of rehearsals, reflective debriefs, and student teacher surveys were collected across a range of courses over 4 years. Findings included that student teacher roles in rehearsals were enhanced through coaching with questions and co-construction was enabled. Coaching questions exposed effective practice, particularly in relation to orchestrating mathematical discussion, enabling student teachers to reflect, discuss, make decisions, and immediately trial teaching strategies. Questions appeared to lengthen rehearsals but improved their effectiveness through enhancing participation and enabling co-construction of meaning. Findin...

The use of questions within in-the-moment coaching in initial mathematics teacher education: enhancing participation, reflection, and co-construction in rehearsals of practice

Much evidence exists that culturally responsive and equitable teaching practices are challenging to develop. Evidence exists that in-the-moment coaching of ‘rehearsals’ of practice can help foster mathematics teaching strategies, but how such coaching can assist the development of culturally responsive practice is less clear. Drawn from a larger study into rehearsals of practice, this article illustrates how teacher educator modelling of instructional activities with in-the-moment coaching can provide opportunities for professional noticing of culturally responsive teaching practices. Such opportunities were identified across seven videos of rehearsals of practice in which teacher educator pairs modelled and coached mathematics teaching. Examples are discussed in relation to facilitation of professional noticing and two aspects of a framework of ‘cultural competencies’ for teachers of indigenous Māori learners. Implications include enhanced equity of access to mathematics learning through pre-service teachers being able to notice, discuss, and use culturally responsive teaching practices.

/pdf/developing-culturally-responsive-teaching-through-k8zarjfaxn.pdf

Developing Culturally Responsive Teaching through Professional Noticing within Teacher Educator Modelling

If the jacket fits: A metaphor for teacher professional learning and development

Several studies have explored students’ understanding of the relationships between definite integrals and areas under curve(s). So far, however, there has been less attention to students’ understanding of the Fundamental Theorem of Calculus (FTC). In addition, students’ metacognitive experiences and skills whilst solving FTC questions have not previously been explored. This paper explored students’ mathematical performance, metacognitive experiences and metacognitive skills in relation to FTC questions by interviewing nine university and eight Year 13 students. The findings show that several students had difficulty solving questions related to the FTC and that students’ metacognitive experiences and skills could be further developed.

Michael Drake

Papers

An assessment-based model for exploring the solving of mathematical problems: Utilizing revised bloom’s taxonomy and facets of metacognition

The use of questions within in-the-moment coaching in initial mathematics teacher education: enhancing participation, reflection, and co-construction in rehearsals of practice

Developing Culturally Responsive Teaching through Professional Noticing within Teacher Educator Modelling

If the jacket fits: A metaphor for teacher professional learning and development

Exploring students' mathematical performance, metacognitive experiences and skills in relation to fundamental theorem of calculus