Mathematical Tasks as a Framework for Reflection: From Research to Practice

1998 ◽  
Vol 3 (4) ◽  
pp. 268-275 ◽  
Author(s):  
Mary Kay Stein ◽  
Margaret Schwan Smith

According to the professional Standards for Teaching Mathematics (NCTM 1991), a primary factor in teachers' professional growth is the extent to which they “reflect on learning and teaching individually and with colleagues” (p. 168). Reflecting on their classroom experiences is a way to make teachers aware of how they teach (Hart et al. 1992) and how their students are thriving within the learning environment that has been provided. Although all teachers think informally about their classroom experiences, cultivating a habit of systematic and deliberate reflection may hold the key to improving one's teaching as well as to sustaining lifelong professional development.

1998 ◽  
Vol 91 (2) ◽  
pp. 156-161
Author(s):  
Glendon W. Blume ◽  
Judith S. Zawojewski ◽  
Edward A. Silver ◽  
Patricia Ann Kenney

Worthwhile mathematical tasks engage the problem solver in sound and significant mathematics, elicit a variety of solution methods, and require mathematical reasoning. Such problems also prompt responses that are rich enough to reveal mathematical understandings. Just as good classroom practice engages students in worthwhile mathematical tasks, sound professional development does the same with teachers. Providing teachers with opportunities to engage in worthwhile mathematical tasks and to analyze the mathematical ideas underlying those tasks promotes the vision of the Professional Standards for Teaching Mathematics (NCTM 1991).


1996 ◽  
Vol 89 (6) ◽  
pp. 454-455
Author(s):  
Roberta K. Koss

A teacher's workday is filled with so many tasks—planning and presenting lessons, giving help to individual students, contacting parents, acting as advisors for extracurricular activities, serving on committees, assessing students' work—that adding another responsibility seems impossible. However, professional development is a necessary task that affects all aspects of a teacher's work. The Professional Standards for Teaching Mathematics (NCTM 1991) calls for teachers to take an active role in their own professional development and lists “reading and discussing ideas presented in professional publications“ (p. 16g) as an activity that will enhance professional growth. The necessity of reading professional journals can be a blessing in disguise because teachers can gain myriad ideas to help with their work. I shall share a few of the ways in which I plan to use the 1996–1997 Mathematics Teacher to help me plan my lessons, prepare student activities, and grow professionally.


2019 ◽  
Author(s):  
Mohammed A. A. Farrah

This study aims to analyze the experiences and perceptions of a group of graduate students regarding an MA Technology in Language Learning and Teaching Course at Hebron University, Palestine. Specifically, the study addressed the aspects of the course that were perceived as the most useful for them and how graduate students perceive their professional growth as a result of the course. The study took place during the second semester of the academic year 2016/2017. The researcher employed a qualitative research to achieve the aims of the study. The participants wrote reflective journals and described how the course integrated theory and practice. The results revealed that the students benefited from the different elements of the course. Particularly, they benefited from the practical projects. The experience helped them in their professional development. Finally, the students offered a number of suggestions for improving the course. The researcher concluded with a set of recommendations.


1994 ◽  
Vol 41 (9) ◽  
pp. 550-552
Author(s):  
Jeane M. Joyner

The sixth standard in the Professional Standards for Teaching Mathematics (NCTM 1991) focuses on analyzing and interconnecting teaching and learning. The standard calls for the analysis of teaching and learning to be ongoing by “[o]bserving, listening to, and gathering other information about students to assess what they are learning.” Teachers examine the “[e]ffects of the tasks, discourse, and learning environment on students' mathematical knowledge, skills, and dispositions.”


1992 ◽  
Vol 85 (8) ◽  
pp. 656-659
Author(s):  
Margaret A. Farrell

The next four articles in this department address issues related to four of the six standards in the section of the Professional Teaching Standards (NCTM 1991) titled “Standards for the Professional Development of Teachers of Mathematics.” The series will pay particular attention to the ways in which these standards affect the in-service teacher of mathematics, whose ongoing professional development depends. to a large extent, on individual commitment, reflection, and action. We hope that these articles will furnish a basis from which teachers can begin to examine and improve their own classroom instruction.


1995 ◽  
Vol 1 (6) ◽  
pp. 454-458
Author(s):  
Helene J. Sherman ◽  
Thomas Jaeger

The curriculum and evaluation standards for School Mathematics (NCTM 1989) and the Professional Standards for Teaching Mathematics (NCTM 1991) have served as both stimuli for, and responses to, numerous formal and informal programs, conferences, and conversations calling for educational reform and improvement in mathematics teaching. After all the plans are drawn and all the objectives are written, however, reform is most likely to occur and make a lasting difference when teachers are aware of the need for improvement, have a voice in planning it, and derive a real sense of professional satisfaction from implementing the instructional changes.


2000 ◽  
Vol 6 (5) ◽  
pp. 299-302
Author(s):  
Connie H. Yarema ◽  
Rhonda H. Adams ◽  
Rachel Cagle

Describes a teacher's mathematics exploration in a professional development setting to exemplify the ideas of the Professional Standards for Teaching Mathematics.


2009 ◽  
Vol 15 (7) ◽  
pp. 400-403
Author(s):  
Tami S. Martin ◽  
William R. Speer

Features, consistent messages, and new components of Mathematics Teaching Today: Improving Practice, Improving Student Learning (NCTM 2007), an updated edition of Professional Standards for Teaching Mathematics (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for observing, supervising, and improving mathematics teaching; and outlines guidelines for the education and continued professional growth of teachers.


Author(s):  
Svetlana Olefir

Problematic issues of introduction of the professional standard «The expert in the field of library information activities» in libraries of the Russian Federation are considered. Professional standard requirements for mastering information and communication technologies are analyzed. The possibilities for assessing expert’s compliance with professional standards, prospects for professional certification, professional development and retraining of personnel are examined. The vectors of professional improvement of library specialists through various education activities, self-education and project involvement are discussed.


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