Implementing the Professional Standards for Teaching Mathematics: Teaching and Learning Mathematics through Classroom Discussion

1993 ◽  
Vol 41 (4) ◽  
pp. 225-227 ◽  
Author(s):  
Nancy Nesbitt Vacc
Keyword(s):  
North Carolina ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Mathematics Lesson ◽  
Grade Teacher ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Mathematics Teaching And Learning

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?”

Standards-Based Teaching: Alive and Well in Portugal

2001 ◽  
Vol 6 (9) ◽  
pp. 538-542
Author(s):  
Iris DeLoach Johnson
Keyword(s):  
Mathematics Teaching ◽  
Teaching Practices ◽  
Teaching And Learning ◽  
Large Scale ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Mathematics Reform ◽  
Reform Movements ◽  
Mathematics Teaching And Learning ◽  
Principles And Standards

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?

Soundoff: Four Teacher-Friendly Postulates for Thriving in a Sea of Change

1994 ◽  
Vol 87 (6) ◽  
pp. 392-393
Author(s):  
Steven Leinwand
Keyword(s):  
Social Studies ◽  
Language Arts ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Gray Areas ◽  
The Way

Many of us chose mathematics teaching because it was always so neat and clean. We felt an affinity toward teaching and learning mathematics because it was orderly and logical. Almost always, we arrived at only one numerical answer by using one right procedure that could be easily graded either right or wrong. We knew that with our beloved mathematics, we suffered none of the gray areas that plague the disciplines of language arts and social studies. And we knew that we would be rewarded for teaching mathematics the way we ourselves were taught. But, oh, how things have changed!

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

1994 ◽  
Vol 87 (1) ◽  
pp. 5-7
Author(s):  
Millard E. Showalter
Keyword(s):  
Teaching And Learning ◽  
Professional Standards ◽  
Mathematical Tasks ◽  
Teaching Mathematics ◽  
Mathematical Ideas ◽  
Teaching Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Professional Teaching Standards ◽  
Professional Teaching

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).

How Mathematics Supervisors can use the Arithmetic Teacher

1981 ◽  
Vol 29 (4) ◽  
pp. 5
Author(s):  
Thomas E. Rowan
Keyword(s):  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Team Member ◽  
Team Approach ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Good Mathematics Teaching ◽  
Mathematics Teaching And Learning ◽  
Additional Member

Most people I know agree that some kind of team approach is the most effective avenue to good mathematics teaching and learning. Mathematics teachers and supervisors are members of one of the kinds of teams that can produce highly effective mathematics instruction. The purpose of this article is to say something, however briefly, to mathematics supervisors about another member of the team that can make things easier and even more effective—the Arithmetic Teacher. Of course, having a team member like the AT is not just having one additional member on your team; it's a variety of additional members. Although it may be a case of stating the obvious for most supervisors, I believe it is worthwhile to briefly enumerate some of the ways in which the AT can help supervisors.

Power, Identity, and Mathematical Practices Outside and Inside School

2013 ◽  
Vol 44 (1) ◽  
pp. 264-287 ◽  
Author(s):  
Na'ilah Suad Nasir ◽  
Maxine McKinney de Royston
Keyword(s):  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Mathematical Practices ◽  
School Settings ◽  
Race Identity ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Mathematics Teaching And Learning ◽  
Nature Of Teaching ◽  
Out Of School

This article explores how issues of power and identity play out in mathematical practices and offers a perspective on how we might better understand the sociopolitical nature of teaching and learning mathematics. We present data from studies of mathematics teaching and learning in out-of-school settings, offering a sociocultural, then a sociopolitical analysis (attending to race, identity, and power), noting the value of the latter. In doing so, we develop a set of theoretical tools that move us from the sociocultural to the sociopolitical in studies of mathematics teaching and learning.

Mogućnosti primene istraživački zasnovane nastave (IN) u početnom matematičkom obrazovanju

2021 ◽  
Author(s):  
Dragana Glogovac ◽  
◽  
Marina Milošević ◽  
Bojan Lazić ◽  
Keyword(s):  
Teaching And Learning ◽  
Teaching Practice ◽  
Teaching Mathematics ◽  
Teaching Process ◽  
Inquiry Based Learning ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Key Competencies ◽  
Insight Into

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.

scholarly journals Effective mathematics teaching in tertiary technological education: The case of ASPETE

2020 ◽  
Vol 7 (1) ◽  
pp. 158-168
Author(s):  
Katerina Kasimatis ◽  
Andreas Moutsios-Rentzos ◽  
Nikolaos Matzakos ◽  
Varvara Rozou ◽  
Dionisios Kouloumpis
Keyword(s):  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teaching Effectiveness ◽  
Learning System ◽  
First Year ◽  
Research Approach ◽  
Technological Education ◽  
First Year Students ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

In this mixed methods study, we draw upon a systemic perspective to investigate the way that effective mathematics teaching is constructed in the ASPETE (School of Pedagogical and Technological Education) learning system. We focused on the perspectives of the first-year students (through questionnaires), of the lecturer who taught the course (through interviews), as well as of the research team (through observations). We considered both the pragmatic level (what they actually experienced) and the desired level (what they would prefer to experience). The results of the conducted analyses support the proposed research approach, revealing convergences and divergences in the mapped perspectives, which identify the mathematics teaching effectiveness of the subsystem of the mathematics class in ASPETE as an emergent, systemic phenomenon. The pedagogical implications are discussed, with respect to the planifications of teaching and learning mathematics in the ASPETE learning system.

scholarly journals Um cenário de estudos envolvendo o ensino de Matemática através da Resolução de Problemas em periódicosA study scenario involving the teaching of mathematics through problem solving in journals

2020 ◽  
Vol 22 (2) ◽  
pp. 252-280
Author(s):  
Kaique Nascimento Martins ◽  
Jamille Vilas Bôas
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
The State ◽  
University Education ◽  
Teaching Mathematics ◽  
Mathematics Teaching And Learning ◽  
Teaching Of Mathematics

ResumoO presente estudo é uma pesquisa bibliográfica inspirada no Estado do Conhecimento, tendo como objetivo compreender focos temáticos nas produções acadêmicas que utilizam/abordam o ensino de matemática através da resolução de problemas. Para tanto, realizou-se um mapeamento das produções acadêmicas publicadas nos periódicos: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista e Educação Matemática Pesquisa, entre janeiro de 2011 e junho de 2019. De um modo geral, percebemos uma variedade de estudos contendo diferentes perspectivas discutidas e abordadas tanto na educação básica quanto no ensino superior.  A partir deste trabalho, é possível ampliar o entendimento sobre a temática, fortalecendo a ideia de que esta pode potencializar o processo de ensino e aprendizagem de matemática.Palavras-chave: Resolução de problemas, Mapeamento, Educação matemática.AbstractThe present study is a bibliographic research inspired by the state of knowledge, aiming to understand thematic focuses on academic productions that use/approach teaching mathematics through problem-solving. For this purpose, we mapped the academic productions published in journals: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista, and Educação Matemática Pesquisa, published between January 2011 and June 2019. We noticed a variety of studies containing different perspectives discussed and addressed both in basic and university education. From this work, it is possible to broaden the understanding of the theme, strengthening the idea that it can enhance the mathematics teaching and learning process.Keywords: Problem solving, Mapping, Mathematics education. ResumenEl presente estudio es una investigación bibliográfica inspirada en el estado del conocimiento, con el objetivo de comprender enfoques temáticos sobre producciones académicas que utilizan/abordan la enseñanza de las matemáticas a través de la resolución de problemas. Para ello, mapeamos las producciones académicas publicadas en las revistas: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista y Educação Matemática Pesquisa, publicadas entre enero de 2011 y junio de 2019. Notamos una variedad de estudios que contienen diferentes perspectivas discutidas y abordadas tanto en educación básica como en educación universitaria. A partir de este trabajo, es posible ampliar la comprensión del tema, fortaleciendo la idea de que puede potenciar el proceso de enseñanza y aprendizaje de las matemáticas.Palabras clave: Resolución de problemas, Mapeo, Educación matemática.

Connecting Research to Teaching: Probability and Statistics

1993 ◽  
Vol 86 (3) ◽  
pp. 244-248
Author(s):  
J. Michael Shaughnessy
Keyword(s):  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Classroom Communication ◽  
Approaches To Teaching ◽  
Evaluation Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Present Information ◽  
Probability And Statistics ◽  
The Many

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.

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