Implementing the Professional Standards for Teaching Mathematics: Teaching Patterns, Relationships, and Multiplication as Worthwhile Mathematical Tasks

1995 ◽  
Vol 1 (7) ◽  
pp. 446-450
Author(s):  
Barbara E. Armstrong

The goal of presenting students with worthwhile tasks that enable them to make connections is to ensure the development of mathematical insights. Determining instructional activities that meet this goal, however, can be a complex task in itself.

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.


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).


2001 ◽  
Vol 6 (9) ◽  
pp. 538-542
Author(s):  
Iris DeLoach Johnson

NCTM'S Professional Standards for Teaching Mathematics (1991) emphasizes that teachers are “the key” to changing mathematics teaching and learning. Given that mathematics reform movements have never brought about “large-scale changes in teachers' behavior and teaching practices” (Hitch 1990, p. 2), Willis (1992) lamented that “whether the standards will actually produce sweeping changes in the way mathematics is taught and learned in U.S. classrooms remains to be seen” (p. 1). With Principles and Standards for School Mathematics (NCTM 2000), we continue to ask the vital question, How can we induce teachers to implement the Standards?


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.


2019 ◽  
Vol 22 (6) ◽  
pp. 609-618 ◽  
Author(s):  
Мария Андреевна Кислякова

Actual problem of modern theory and methods of teaching mathematics – teaching methods of self-regulation in the process of solving mathematical tasks.


2008 ◽  
Vol 101 (9) ◽  
pp. 695-697

In its 1989 and 2000 standards documents, the national council of teachers of mathematics (nctm) describes a vision of mathematics curriculum to ensure success for all students. However, “more than curriculum standards documents are needed to improve student learning and achievement. Teaching matters” (p. 3). In that spirit, nctm delivers the rest of the picture—mathematics teaching today, a revision of the 1991 professional standards for teaching mathematics.


1994 ◽  
Vol 87 (2) ◽  
pp. 122-126
Author(s):  
Walter Callahan ◽  
Margaret A. Farrell

In this second article of the 1993-94 series, a middle school teacher reflects on his work with Hispanic and Haitian students. He used what he has learned to recommend ways to help preservice teachers learn about students of other cultures.– Ed.


1993 ◽  
Vol 86 (9) ◽  
pp. 744-747
Author(s):  
Mary Kim Prichard

This assumption that how teachers teach mathematics is fundamentally connected with how they learned it underlies the first standard of the “Standards for the Professional Development of Teachers of Mathematics.” This standard, Experiencing Good Mathematics Teaching, focuses on the role of the college and university mathematics professors in the process of reforming school mathematics teaching. It is essential that mathematics teacher educators invite and encourage college-level mathematics faculty to join them in implementing the teaching standards. The NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and Professional Standards for Teaching Mathematics (1991) present a new vision of school mathematics. Mathematics courses and programs of study in colleges and universities should share in this vision.


1996 ◽  
Vol 89 (4) ◽  
pp. 326-329
Author(s):  
Bridget Arvold ◽  
Pamela Turner ◽  
Thomas J. Cooney

The visions of teaching set forth in the Professional Standards for Teaching Mathematics (NCTM 1991) do not, in themselves, ensure that we can successfully teach all students mathematics. To reach all students, we must understand how students think and then develop instruction compatible with their thinking. To begin to understand, we must observe, listen, and gather a variety of evidence of what and how students are learning. Although we might view a mathematical concept or algorithm as simple, it is “a mysterious, almost inexplicable phenomenon from the point of view of the outsider” (Davis and Hersh 1981, 43). Examining students' thinking through their interactions with mathematical tasks can help unlock a bit of the mystery. This process of analysis is the amalgamating item in the “Standards for Teaching Mathematics” section of the Professional Standards for Teaching Mathematics and emphasizes the need to listen carefully to our students.


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