Young's Vision

1993 ◽  
Vol 86 (4) ◽  
pp. 330-333
Author(s):  
Sharyn L. Stein
Keyword(s):  
Mathematics Curriculum ◽  
School Mathematics ◽  
Dartmouth College ◽  
John Wesley ◽  
Underlying Assumption ◽  
Evaluation Standards ◽  
Grade Levels ◽  
Educational Pedagogy ◽  
K 12

The boxed paragraph's objective can also be considered one of the fundamental concepts found in NCTM's Curriculum and Evaluation Standards for School Mathematics, published in 1989. Making the underlying assumption that a metamorphosis was drastically needed in our nation's mathematics curriculum, the standards document thoroughly examined and analyzed all aspects of the current methods by which mathematics is presented at all grade levels (K–12), as well as what is considered to be essential material that must be presented to students. (For an overview of the Curriculum and Evaluation Standards, see Thompson and Rathmell [1988].) However, the succinct statement below is not the product of the NCTM's standards; rather it is the wisdom of Jacob William Albe1t Young (1865–1948), a tum-of-thecentury pioneer in the field of educational pedagogy. (J. W. A. Young is not to be confused with John Wesley Young, 1879–1932, a professor of mathematics at Dartmouth College during the same era.)

Our Diets May Be Killing Us

1995 ◽  
Vol 1 (5) ◽  
pp. 376-382
Author(s):  
Brenda K. J. Shannon
Keyword(s):  
Real World ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Knowledge And Skills ◽  
Everyday Lives ◽  
Grade Levels ◽  
Real World Applications ◽  
School Day ◽  
Class Period

A push seems to be on for more real-world applications in the mathematics curriculum at all grade levels. Recommendations from such sources as the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and the National Research Council's Everybody Counts (1989) advocate making mathematics more than just a subject taught one class period of each school day. The time has come to bring mathematics out of the classroom and show the students that the knowledge and skills from mathematics can be beneficial in their everyday lives. But how do we, as educators, actually accomplish this goal?

Power On!: Learning Statistics with Technology

1994 ◽  
Vol 1 (2) ◽  
pp. 130-136
Author(s):  
Gary Kader ◽  
Mike Perry
Keyword(s):  
Problem Solving ◽  
Mathematics Curriculum ◽  
Real Data ◽  
School Mathematics ◽  
National Council ◽  
Evaluation Standards ◽  
Problem Solving Process ◽  
K 12

In its Curriculum and Evaluation Standards for School Mathematics (1989), the National Council of Teachers of Mathematics recommends that the K-12 mathematics curriculum be broadened and designates statistics as an area deserving increased attention. The standards document promotes the concept that statistics be learned through the study of real problems with real data collected by the students. Rather than focus on developing formulas from which answers are simply computed, teachers should present statistics in a coherent fashion and develop the topic as a whole problem-solving process.

Connections: A Lottery, a Computer, and the Number e

1993 ◽  
Vol 86 (8) ◽  
pp. 652-655
Author(s):  
Alfinio Flores
Keyword(s):  
Mathematics Curriculum ◽  
School Mathematics ◽  
Mathematics Students ◽  
Evaluation Standards ◽  
Mathematical Connections ◽  
Constant E ◽  
K 12 ◽  
Compound Interest ◽  
Probabilistic Context ◽  
Mathematical Constants

I mportant mathematical constants, like π and e. which are encountered first in specific contexts, appear throughout different branches of mathematics. Students are surprised to find rr, which they know as the ratio of the circumference to the diameter of a circle, in such a probabilistic context as Buffon's needle problem (Hirsch 1981). This article links Euler's constant e-the base of natural logarithms, which students usuaUy encounter in relation to compound-interest problems-with an experiment simulating a drawing. Establishing mathematical connections among different mathematical fields is one of the standards stressed throughout the K-12 mathematics curriculum in NCTM's Curriculum and Evaluation Standards for School Mathematics (1989).

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).

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.

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.

Activities: Extending Problem-Solving Skills

1985 ◽  
Vol 78 (1) ◽  
pp. 36-44
Author(s):  
Robert A. Laing
Keyword(s):  
Problem Solving ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Problem Solving Skills ◽  
Technological Society ◽  
K 12

Introduction: Recognizing that the mathematics curriculum in grades K-12 must include more than the concepts and skills of mathematics to prepare students to be productive and contributing members of a rapidly changing technological society, the Agenda for Action (NCTM 1980, 3, 4) recommends that problem solving be the focus of school mathematics in the 1980s.

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.

Implementing the Standards: Uses of Technology in Prealgebra and Beginning Algebra

1990 ◽  
Vol 83 (3) ◽  
pp. 194-198
Author(s):  
M. Kathleen Heid
Keyword(s):  
Problem Solving ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Mathematics Classrooms ◽  
Beginning Algebra ◽  
Grade Levels ◽  
Mathematical Connections

The NCTM's Curriculum and Evaluation Standards for School Mathematics (Stan dards) (1989) designates four standards that apply to all students at all grade levels: mathematics as problem solving, mathematics as communication, mathematics as reasoning, and mathematical connections. These and NCTM's other standards are embedded in a vision of technologically rich school mathematics classrooms in which students and teachers have constant access to appropriate computing devices and in which students use computers and calculators as tools for the investigation and exploration of problems.

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