Using Problems to Implement the NCTM's “Professional Teaching Standards'

1994 ◽  
Vol 87 (1) ◽  
pp. 5-7
Author(s):  
Millard E. Showalter

As set forth in the Professional Standards for Teaching Mathematics (NCTM 1991), a primary goal for teaching and learning mathematics is the development of mathematical power for all students. To accomplish this goal, the teaching standards document recommends that teachers select interesting and intellectually stimulating mathematical tasks, present opportunities for students to deepen their understanding of mathematics and its applications, promote the investigation of mathematical ideas, use technology to pursue these investigations, find connections to previous and developing knowledge, and employ cooperativelearning experiences (NCTM 1991, 1).

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.


1994 ◽  
Vol 87 (5) ◽  
pp. 354-358
Author(s):  
Vicky L. Kouba

A common call heard today is that we want “reflective teachers” who have the skills and expetiences necessary to engage in a high-level examination of teaching. Indeed, the authors of the NCTM's Professional Standards for Teaching Mathematics (Professional Teaching Standards), published in 1991, recommend that teachers assume more of the responsibility for both self-evaluation and peer evaluation.


1998 ◽  
Vol 5 (3) ◽  
pp. 160-163 ◽  
Author(s):  
Denise S. Mewborn

The Professional Standards for Teaching Mathematics (NCTM 1991) identifies four elements of teachers’ work that have a significant impact on the mathematics learning that takes place in a classroom: tasks, discourse, environment, and analysis.


1991 ◽  
Vol 39 (3) ◽  
pp. 44-48 ◽  
Author(s):  
Deborah Loewenberg Ball

Despite its title, the Professional Standards for Teaching Mathematics (NCTM 1991) should not be read as a set of prescriptions about how to teach. The document will not deliver on such expectations, not because it fails but because no document can prescribe good teaching. No set of standards can be expected to stipulate what teachers should do. The potential of the Professional Teaching Standards rests instead in its use as a set of tools with which to construct productive conversations about teaching. It should be viewed as a resource with which to build teaching rather than as a measuring stick by which to judge teaching. With new ideas about things to pay attention to in our classrooms, to ask ourselves, to wonder about, we would have increased power to analyze and improve our teaching — alone and as members of a wider community of educators. In this article I explore possible outcomes of using the Professional Teaching Standards in such ways.


1993 ◽  
Vol 41 (4) ◽  
pp. 225-227 ◽  
Author(s):  
Nancy Nesbitt Vacc

Tien-Tien announced during the news of the day that her grandmother was coming for a visit. Her third-grade teacher later used this news to introduce the mathematics lesson as follows: ‘If Tien-Tien's grandmother leaves China tomorrow morning, how long do you think it will take her to arrive in North Carolina?” The discussion that followed included a variety of important questions and comments. “Is she going to fly or take a boat?” “How fast does a plane fly?” “Will she come this way (pointing to Europe on the map) or that way (Pacific Ocean)?” “Can she sleep on the plane or will she need to land someplace so she can sleep in a bed?” “Where can the plane land on the way here from China?” “How often does a plane need to land for gas?” “I know that my cousin in Chicago is one hour later than we are. If she has to land in Chicago. won't that make a difference in how we figure the time?”


2021 ◽  
Author(s):  
Dragana Glogovac ◽  
◽  
Marina Milošević ◽  
Bojan Lazić ◽  

Modern primary education, especially mathematics, requires constant innovation of teaching practice in order to modernize, rationalize, and efficiently the teaching process. Teaching mathematics should be experienced as a process that promotes learning with understanding, stimulates motivation, active learning, research, critical thinking, analysis, problem solving, drawing conclusions, exchange of experiences. The tendency to improve the quality of mathematics education has resulted in many studies pointing to the benefits of research-based mathematics (IN) teaching, known as inquiry-based learning (IBL), recognized as an essential way of organizing the teaching process to develop key competencies, abilities and skills in 21st century. Тhe aim of this paper is to see, based on a comprehensive theoretical analysis and the results of previous research. The created model of teaching mathematics based on research represents a useful framework for improving the quality of the process of teaching and learning mathematics, and empowers teachers in its application and affirmation, gaining insight into the way of organizing research learning.


1993 ◽  
Vol 86 (3) ◽  
pp. 244-248
Author(s):  
J. Michael Shaughnessy

This issue introduces a new department to the Mathematics Teacher, “Connecting Research to Teaching.” Articles will focus on mathematical and pedagogical ideas related to the NCTM's Curriculum and Evaluation Standards (1989) and the Professional Standards for Teaching Mathematics (1991). Authors will strive to present information to help teachers (1) understand students' conceptions or misconceptions of important ideas, (2) consider various approaches to teaching, and (3) offer activities that probe students' understanding. Although research offers no one correct answer to the many perplexing problems surrounding teaching and learning mathematics, the suggestions and perspectives may help teachers pursue their work with new insights. It is hoped that the department will also stimulate researchers to reflect on connecting research to the classroom. Communication and collaboration between teachers and researchers will benefit both groups and help each grow in appreciation of the other's tasks.


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).


2021 ◽  
Vol 4 (1) ◽  
pp. 166-178
Author(s):  
Mela Aziza

The purpose of this research was to find how the first online learning implementation in the Department of Mathematics Education in The Islamic State Institute of Bengkulu during the Covid-19 pandemic. This research was qualitative research which was conducted in July as an evaluation of the first online learning from March until July. 90 students were chosen by purposive sampling and then given an online questionnaire. The results showed that there were some mathematical courses students took in the Even Semester 2019/2020. The platforms used by lecturers while teaching Mathematics were 39.6% WhatsApp Group, 22% Google Classroom, 13.2% Cisco Webex, and 25.2 % others. Platforms that were felt effective as online learning applications were 52.7% Cisco Webex, 26.4 % WhatsApp Group, 9.9% Zoom meeting, 5.5% Google Classroom, and 5.5% others. This is felt to be effective because it does not consume a lot of data packages, has a strong signal, and can be accessed at any time (WhatsApp Group and Google Classroom). In addition, this platform can be used for live conferencing / video calls using whiteboards which are deemed effective for teaching math material (Cisco Webex). However, several obstacles were found during the implementation of online learning, namely difficulties in obtaining sufficient internet data packages; limited network; difficult assignments and assessments; less effective teaching methods; and use of multiple applications.


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