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.

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.

Problem Solving in the Singapore School Mathematics Curriculum

2019 ◽  
pp. 141-164 ◽  
Author(s):  
Tin Lam Toh ◽  
Chun Ming Eric Chan ◽  
Eng Guan Tay ◽  
Yew Hoong Leong ◽  
Khiok Seng Quek ◽  
...  
Keyword(s):  
Problem Solving ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
School Mathematics Curriculum

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?

The fourth operation is not fundamental—fractional numbers and problem solving

1975 ◽  
Vol 22 (1) ◽  
pp. 28-32
Author(s):  
Marilyn J. Zweng
Keyword(s):  
Elementary School ◽  
Problem Solving ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Elementary School Mathematics ◽  
Fractional Numbers ◽  
School Mathematics Curriculum

Few topics in the elementary school mathematics curriculum are a greater waste of time than division of fractional numbers. It is seldom used to solve problems, and those problems which children are taught to solve by division of fractional numbers are dealt with just as adequately by resorting to multiplication.

Powers and Patterns: Problem Solving with Calculators

1982 ◽  
Vol 30 (2) ◽  
pp. 42-44
Author(s):  
Glenda Lappan ◽  
Elizabeth Phillips ◽  
M. J. Winter
Keyword(s):  
Problem Solving ◽  
Mathematical Concept ◽  
School Mathematics ◽  
Mathematical Idea ◽  
Wide Spread ◽  
Problem Solving Skills ◽  
Problem Solving Strategies ◽  
Paper And Pencil

With the publication of An Agenda for Action: Recommendations for School Mathematics of the 1980s, the NCTM has emphasized its support for helping students to develop and use problem-solving skills. The challenge for the teacher is to provide opportunities for the development of the e skill while teaching mathematical concept that comprise the basic curriculum. With the wide-spread availability of calculators, teachers have a tool that can be used to expand the study of many basic mathematical idea to include the development of problem-solving strategies. Calculations that would be so time consuming as to be impractical if they were done with paper and pencil, can be quickly done with a calculator.

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.

Welcome to Our Focus Issue on Problem Solving

2003 ◽  
Vol 96 (8) ◽  
pp. 529
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Word Problems ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
National Council ◽  
Seminal Work ◽  
Strong Case ◽  
School Mathematics Curriculum

THE CALL FOR THIS FOCUS ISSUE BEGAN BY reminding readers that in 1980, the National Council of Teachers of Mathematics made a strong case for including problem solving in the mathematics curriculum. Problem solving was not a new topic at that time—after all, George Pólya published his seminal work, How to Solve It, in 1945. However, the 1980 Agenda for Action publication marked the beginning of a period in mathematics education when the processes of problem solving received specific attention in the school mathematics curriculum. Problem solving became much more than solving word problems.

What Is in the Daily News? Problem-Solving Opportunities!

1999 ◽  
Vol 5 (7) ◽  
pp. 390-394
Author(s):  
Robyn Silbey
Keyword(s):  
Problem Solving ◽  
Real World ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Daily News ◽  
Evaluation Standards ◽  
Mathematical Ideas ◽  
The Everyday ◽  
Everyday World ◽  
Real World Problems

In An Agenda for Action, the NCTM asserted that problem solving must be at the heart of school mathematics (1980). Almost ten years later, the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) stated that the development of each student's ability to solve problems is essential if he or she is to be a productive citizen. The Standards assumed that the mathematics curriculum would emphasize applications of mathematics. If mathematics is to be viewed as a practical, useful subject, students must understand that it can be applied to various real-world problems, since most mathematical ideas arise from the everyday world. Furthermore, the mathematics curriculum should include a broad range of content and an interrelation of that content.

Spotlight on the Principles/Standards: Problem Solving in the Middle Grades

2000 ◽  
Vol 6 (2) ◽  
pp. 105-108
Author(s):  
Carol E. Malloy ◽  
D. Bruce Guild
Keyword(s):  
Problem Solving ◽  
Mathematical Knowledge ◽  
Middle Grades ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Measurement Algebra ◽  
Principles And Standards ◽  
Mathematical Relationships

IN WHAT WAYS WOULD YOU LIKE YOUR middle-grades students to experience problem solving in the mathematics curriculum? Do you want the curriculum to capture the excitement of geometry and measurement, algebra, statistics, and number relationships? Do you want it to help students understand and build new mathematical knowledge and explore new mathematical relationships? Do you want the curriculum to be filled with opportunities for students to ponder, create, and critique arguments about mathematics? If this is your vision for your students, then you should be pleased with, and excited by, the Problem Solving Standard in Principles and Standards for School Mathematics (NCTM 2000).

Integrating Manipulatives and Computers in Problem-Solving Experiences

1990 ◽  
Vol 38 (2) ◽  
pp. 8-10
Author(s):  
Sue Brown
Keyword(s):  
Problem Solving ◽  
Group Work ◽  
Mathematics Instruction ◽  
School Mathematics ◽  
National Council ◽  
Evaluation Standards ◽  
Mathematics Standards ◽  
Good Mathematics Instruction ◽  
K 12

In 1980, the National Council of Teachers of Mathematics stated that “problem solving must be the focus of school mathematics.” In 1989 the Council reaffirmed that belief with the Curriculum and Evaluation Standards for School Mathematics (Standards). Standard 1 for grades K–12 is “Mathematics as Problem Solving.” The Standards also asserts that “a computer should be available in every classroom for demonstration purposes, and every student should have access to a computer for individual and group work.” Also according to the Standards, “manipulative materials are necessary for good mathematics instruction.” In a typical classroom, problem solving may be taught, manipulative materials may be used, or students may be working at a computer. These functions, however, are usually completed as disjoint activities. Integrating these activities is possible, and this article illustrates how it can be done.

Sign in / Sign up

Export Citation Format

Share Document