Connecting Research to Teaching: Mathematics Performance Assessment: A New Game for Students

1995 ◽  
Vol 88 (9) ◽  
pp. 752-757
Author(s):  
Ann Shannon ◽  
Judith S. Zawojewski
Keyword(s):  
Mathematics Education ◽  
Performance Assessment ◽  
Mathematics Performance ◽  
School Mathematics ◽  
Teaching Mathematics ◽  
Traditional Curriculum ◽  
Evaluation Standards

The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) encourages a much broader view of mathematics education than that which is associated with traditional curriculum.

Implementing the “Curriculum and Evaluation Standards”: Recognizing and Recording Reform in Mathematics: New Questions, Many Answers

1994 ◽  
Vol 87 (3) ◽  
pp. 190-193
Author(s):  
Joan Ferrini-Mundy ◽  
Loren Johnson ◽  
James R. Smart
Keyword(s):  
Mathematics Education ◽  
School Mathematics ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Anecdotal Evidence ◽  
Reform Effort ◽  
Evaluation Standards ◽  
Curriculum And Pedagogy ◽  
Standards Documents

NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and its Professional Standards for Teaching Mathematics (1991) lend possible direction and meaning to the reform effort in mathematics education that is sweeping the country. The documents have been widely disseminated and discussed, and anecdotal evidence indicates that teachers of mathematics are seeking ways to enact the ideas contained in the standards documents. These documents are also inspiring the development of standards in other disciplines. But a number of questions are being raised as schools, districts, states, and provinces attempt to incorporate these Standards in changing their curriculum and pedagogy.

Soundoff: Make Room for Dancing

1995 ◽  
Vol 88 (1) ◽  
pp. 6-7
Author(s):  
Larry E. Askins
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
School Mathematics ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Evaluation Standards ◽  
Clear Vision

As mathematics teachers, we are eager for an optimistic view of what our classrooms can become during this decade and beyond. I believe that NCTM's Professional Standards for Teaching Mathematics (1991) and Curriculum and Evaluation Standards for School Mathematics (1989) present a clear vision for making mathematics education successful in the 1990s. However, the documents mean nothing if individual teachers fail to take deliberate steps toward realizing that vision.

One Point of View: Reclaiming School Mathematics

1990 ◽  
Vol 37 (8) ◽  
pp. 4-5
Author(s):  
Portia Elliott
Keyword(s):  
Mathematics Education ◽  
Mathematics Curriculum ◽  
Point Of View ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Design Change

The framers of the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) call for a radical “design change” in all aspects of mathematics education. They believe that “evaluation is a tool for implementing the Standards and effecting change systematically” (p. 189). They warn, however, that “without changes in how mathematics is assessed, the vision of the mathematics curriculum described in the standards will not be implemented in classrooms, regardless of how texts or local curricula change” (p. 252).

Informing Learning Through the Clinical Interview

1991 ◽  
Vol 38 (6) ◽  
pp. 44-46
Author(s):  
Madeleine J. Long ◽  
Meir Ben-Hur
Keyword(s):  
Student Outcomes ◽  
Clinical Interview ◽  
School Mathematics ◽  
Assessment Tools ◽  
Teaching Mathematics ◽  
National Council ◽  
Evaluation Standards ◽  
Paper And Pencil ◽  
Primary Assessment

The National Council of Teachers of Mathematics's Curriculum and Evaluation Standards for School Mathematics (1989) and Professional Srandards for Teaching Mathematics (1989) endorse the view that assessment should be made an integral part of teaching. Although many of the student outcomes described in the Srandards cannot properly be assessed using paper-and-pencil tests, such tests remain the primary assessment tools in today's classroom.

TEACHING MATHEMATICS WITH TECHNOLOGY: Computation and Estimation

1992 ◽  
Vol 40 (1) ◽  
pp. 48-51
Author(s):  
Janet Parker ◽  
Connie Carroll Widmer
Keyword(s):  
School Mathematics ◽  
Teaching Mathematics ◽  
Evaluation Standards ◽  
Mental Mathematics

As we prepare for the day envisioned by the Curriculum ond Evaluation Standards for School Mathematics (NCTM 1989), when every student will have a calculator and every class will have at least one computer available at all times, we need to reexamine the roles of computation, estimation, and mental mathematics in the teaching and practice of mathematics. It is true that calculators and computers can perform virtually all computations, relieving us and our students of much drudgery; however, this is not their only role. Calculators and computers also make it easy for us to solve problems in a new mode, T-E-M-T-T: trial, error, and modified trial through technology.

Do the Standards Go Far Enough? Power, Policy, and Practice in Mathematics Education

1992 ◽  
Vol 23 (5) ◽  
pp. 412-431 ◽  
Author(s):  
Michael W. Apple
Keyword(s):  
Mathematics Education ◽  
Educational Reform ◽  
Mathematical Knowledge ◽  
Mathematics Curriculum ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Policy And Practice ◽  
Conservative Movement ◽  
Evaluation Standards

Although NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and Professional Standards for Teaching Mathematics (1991) are generating considerable interest, there has been little discussion of their ideological and social grounding and effects. By placing the Standards within the growing conservative movement in education, this paper raises a number of crucial issues about the documents, including the depth of the financial crisis in education and its economic and ideological genesis and results; the nature of inequality in schools; the role of mathematical knowledge in our economy in maintaining these inequalities; the possibilities and limitations of a mathematics curriculum that is more grounded in students' experiences; and the complicated realities of teachers' lives. Without a deeper understanding of these issues, the Standards will be used in ways that largely lend support only to the conservative agenda for educational reform.

Animating Geometry with Flexigons

1994 ◽  
Vol 87 (8) ◽  
pp. 602-606
Author(s):  
Ruth McClintock
Keyword(s):  
Language Skills ◽  
School Mathematics ◽  
Professional Standards ◽  
Physical Models ◽  
Teaching Mathematics ◽  
Mathematical Concepts ◽  
Evaluation Standards ◽  
Grade Levels ◽  
Conversation Piece

Viewing mathematics as communication is the second standard listed for all grade levels in the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989). This emphasis underscores the need for nurturing language skills that enable children to translate nonverbal awareness into words. One way to initiate discussion about mathematical concepts is to use physical models and manipulatives. Standard 4 of the Professional Standards for Teaching Mathematics (NCTM 1991) addresses the need for tools to enhance discourse. The flexigon is a simple and inexpensive conversation piece that helps students make geometric discoveries and find language to share their ideas.

On My Mind: The Standards—Some Second Thoughts

1996 ◽  
Vol 2 (1) ◽  
pp. 8-11
Author(s):  
Stephen S. Willoughby
Keyword(s):  
Mathematics Education ◽  
School Mathematics ◽  
National Council ◽  
Evaluation Standards ◽  
Professional Educators ◽  
The Way

Members of the National Council of Teachers of Mathematics can be proud of the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989). Not only has the Standards document set the course for improving mathematics education, but it has been imitated by virtually every other content-oriented teachers' organization. Thus, as well as recasting mathematics education, the NCTM has led the way toward recasting education generally. However, professional educators have an obligation to reconsider and reflect on the Standards themselves and any other recommendations made by responsible educators and organizations.

Felix Klein and the NCTM's Standards: A Mathematician Considers Mathematics Education

2000 ◽  
Vol 93 (8) ◽  
pp. 714-717
Author(s):  
Kim Krusen McComas
Keyword(s):  
Mathematics Education ◽  
School Mathematics ◽  
Rote Learning ◽  
German Mathematician ◽  
Evaluation Standards ◽  
10Th Anniversary ◽  
Felix Klein ◽  
Look Back ◽  
Principles And Standards ◽  
Year 2000

The year 1999 marked the 10th anniversary of the NCTM's Curriculum and Evaluation Standards for School Mathematics. It also marked the 150th anniversary of the birth of German mathematician Felix Klein, who lived from 1849 to 1925. Although the relation between these two anniversaries may not be obvious, the connection is that Klein, were he still alive today, would probably support the NCTM's Standards. As the year 2000 brings us NCTM's Principles and Standards for School Mathematics, let us look back to the year 1900 and find Felix Klein at the forefront of a movement to reform mathematics education from rote learning to more meaningful mathematical learning.

The Pond: Doing Research Together

1996 ◽  
Vol 1 (9) ◽  
pp. 696-704
Author(s):  
Kevin Kinneavy
Keyword(s):  
Middle School ◽  
School Mathematics ◽  
Teaching Mathematics ◽  
Approaches To Teaching ◽  
Interdisciplinary Instruction ◽  
Evaluation Standards ◽  
Interdisciplinary Approaches ◽  
Middle School Concept ◽  
School Concept

Interdisciplinary approaches to teaching all subjects are central to the middle school concept. Such approaches can be especially useful for teaching mathematics, a subject that has traditionally been the bane of many students' existence. The NCTM recognizes the importance of interdisciplinary instruction in its Curriculum and Evaluation Standards for School Mathematics (1989, 84).

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