One Point of View: Calculating the Influence of Tests on Instruction

1989 ◽  
Vol 36 (9) ◽  
pp. 10-11
Author(s):  
Donald L. Chambers
Keyword(s):  
Mathematics Teachers ◽  
Mathematics Curriculum ◽  
Point Of View ◽  
School Mathematics ◽  
Appropriate Use ◽  
Evaluation Standards ◽  
Widespread Acceptance

Implementing the NCTM's curriculum and evaluation standards will require a change in the beliefs of many mathematics teachers and widespread acceptance of a fundamental premise of the Standards: that “appropriate calculators should be available to all students at all times” (Commission on Standards for School Mathematics of the NCTM 1989. 8). It will require widespread acceptance of the use of calculators in testing, for as the Standards observes, “until tests provide for the appropriate use of calculators, many teachers will continue to prohibit their use in the classroom. 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.”

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).

One Point Of View: It's Time to Use Our “OOB” Detectors!

1993 ◽  
Vol 40 (7) ◽  
pp. 376-377
Author(s):  
Phares G. O'Daffer
Keyword(s):  
Mathematics Curriculum ◽  
Point Of View ◽  
School Mathematics ◽  
Evaluation Standards ◽  
School Mathematics Curriculum

The NCTM's Curriculum and Evaluation Standards for School Mathematics was thoughtfully conceived and continues to influence the school mathematics curriculum. A strength oft he document eems to be that the standards trike a rea onable balance between what ought to be and what can be. Because of this, the book has stimulated our thinking and facilitated realistic, po itive changes in many schools.

One point of view: Stop the Bandwagon I Want Off

1981 ◽  
Vol 28 (8) ◽  
pp. 2
Author(s):  
Jeremy Kilpatrick
Keyword(s):  
Problem Solving ◽  
Mathematics Curriculum ◽  
Point Of View ◽  
School Mathematics

The 1980s, so we are told, are to be the decade of “problem solving.” Ready or not, we are apparently destined to have problem solving as the “focus” of school mathematics for the next ten years or so. Toward this goal, the NCTM's An Agenda for Action recommends the organization of the mathematics curriculum around problem solving. How can one argue with such a sensible agenda?

Transition Boards: A Good Idea Made Better

1991 ◽  
Vol 38 (5) ◽  
pp. 4-8
Author(s):  
John T. Sutton ◽  
Tonya D. Urbatsch
Keyword(s):  
Conceptual Understanding ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Addition And Subtraction ◽  
School Mathematics Curriculum

The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) recognizes that addition and subtraction computations remain an important part of the school mathematics curriculum and recommends that the emphasis be shifted to the understanding of concepts. Transition boards are simple devices to aid students' conceptual understanding.

ONE POINT OF VIEW: We Must Have “Designated Math Leaders” in the Elementary School!

1991 ◽  
Vol 39 (1) ◽  
pp. 7-9
Author(s):  
James V. Bruni
Keyword(s):  
Elementary School ◽  
Elementary School Teachers ◽  
Mathematics Learning ◽  
Point Of View ◽  
School Mathematics ◽  
School Level ◽  
Leadership Roles ◽  
Evaluation Standards ◽  
Agents Of Change

NCTM's development of the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) and the recent companion document, Professional Standards for Teaching Mathematics (NCTM 1991), is an extraordinary achievement. At a time when many agree that we urgently need change in mathematics education, these sets of standards project an exciting vision of what mathematics learning can be and how all students can develop “mathematical power.” They establish a broad framework to guide reform efforts and challenge everyone interested in the quality of school mathematics programs to work collaboratively to use them as a basis for change. How will we meet this challenge? The Editorial Panel believes that translating that vision into reality at the elementary school level will be possible only if elementary school teachers are involved in taking leadership roles as agents of change.

Using research in teaching: Notes from National Assessment: addition and multiplication with fractions

1976 ◽  
Vol 23 (2) ◽  
pp. 137-142
Author(s):  
Thomas P. Carpenter ◽  
Terrence G. Coburn ◽  
Robert E. Reys ◽  
James W. Wilson
Keyword(s):  
High School ◽  
Junior High School ◽  
Mathematics Curriculum ◽  
Junior High ◽  
Point Of View ◽  
School Mathematics ◽  
Upper Elementary ◽  
High School Mathematics ◽  
National Assessment ◽  
Mathematics Program

Development of computational skills with fractions has long been a part of the upper elementary and junior high school mathematics program. Current movements toward metrication have led some individuals to suggest that decimals will receive more attention in the mathematics curriculum with a corresponding de-emphasis on fractions. The suggestion may find an increased number of supporters, as recurring evidence indicates that pupil performance with fractions is discouragingly low. An alternative point of view is that although metrication may somewhat alter work with fractions, their importance within the structure of mathematics and to applications justifies their continued emphasis in the curriculum.

ONE POINT OF VIEW: Sense and Nonsense about Fractions and Decimals

1980 ◽  
Vol 27 (5) ◽  
pp. 5-7
Author(s):  
Joseph N. Payne
Keyword(s):  
Elementary School ◽  
Mathematics Curriculum ◽  
Point Of View ◽  
School Mathematics ◽  
Slow Movement ◽  
Elementary School Mathematics ◽  
Fraction Concepts ◽  
School Mathematics Curriculum

With our certain, albeit slow, movement to the metric system and with the widespread use of calculators, there is general agreement that decimals wiU be introduced earlier in our elementary school mathematics curriculum. Decimals for tenths, for example, have been taught successfully in grade three. Nevertheless, there are major questions, substantial disagreements, and some sheer nonsensical statements being made about fraction concepts, fraction computation, and decimal computation.

Implementing the Curriculum and Evaluation Standards: First-Year Algebra

1991 ◽  
Vol 84 (9) ◽  
pp. 715-722
Author(s):  
Judith Kysh
Keyword(s):  
Secondary School ◽  
Mathematics Teachers ◽  
School Mathematics ◽  
First Year ◽  
Evaluation Standards ◽  
Secondary School Mathematics

Fans of Dr. Doolittle may recall his famous fictional beast, the Push-Me-Pull-You. It had heads at both ends but never knew which way to go. Many secondary school mathematics teachers feel as though they are trying to ride one of these creatures when they examine the NCTM's Curriculum and Evaluation Standards (1989) and then turn around to consider the institutional demands of their schools and local universities.

Implementing the Standards: Building key Concepts for Calculus in Grades 7–12

1990 ◽  
Vol 83 (7) ◽  
pp. 532-540
Author(s):  
Elizabeth A. Jockusch ◽  
Patrick J. Mcloughlin
Keyword(s):  
Conceptual Understanding ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Mathematics Standards ◽  
Key Concepts ◽  
Natural Extensions

The NCTM'S Curriculum and Evaluation Standards for School Mathematics (Standards) (1989) recommends that the mathematics curriculum should include informal explorations of calculus concepts. These concepts can be developed as natural extensions of topics that students have already encountered. The approach should focus on exploring concrete problems in a way designed to build conceptual understanding of key ideas and to offer an introduction to some interesting applications.

Soundoff: Nctm's Standards, Curriculum Reform, And High School Mathematics Teachers

1990 ◽  
Vol 83 (7) ◽  
pp. 510-512
Author(s):  
William S. Hadley
Keyword(s):  
High School ◽  
Curriculum Reform ◽  
Mathematics Teachers ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Major Obstacle ◽  
Classroom Teachers ◽  
High School Mathematics ◽  
K 12 ◽  
High School Mathematics Teachers

With the release of NCTM's curriculum standards in the spring of 1989, emphasis on mathematics-curriculum reform at all levels K-12 has been renewed. Reform is obviously long overdue, but one major obstacle stands in the way of its achievement: the classroom teachers. Given t he proper opportunities, however, teachers can become the key to success.

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