Sharing Teaching Ideas: A Mathematical Investigation of Quality Control

1995 ◽  
Vol 88 (3) ◽  
pp. 200-202
Author(s):  
Richard T. Edgerton
Keyword(s):  
Quality Control ◽  
Real World ◽  
School Mathematics ◽  
Curriculum Standards ◽  
Evaluation Standards ◽  
Mathematical Investigation ◽  
Teaching Ideas ◽  
Real World Problems

One way to apply the principles of the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) is to use real-world problems. The curriculum standards are enacted as students develop “mathematical power” while they communicate, reason, and make connections within and outside mathematics.

Analyzing Data from the Olympic Games for Trends and Inferences

1996 ◽  
Vol 89 (5) ◽  
pp. 370-372
Author(s):  
Richard T. Edgerton
Keyword(s):  
Real World ◽  
Olympic Games ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Problem Situations ◽  
Real World Problems ◽  
The Olympic Games

The NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) emphasizes classroom mathematics that engages students in meaningful activities through which they construct their own understanding of important concepts. Students' investigations are derived from problem situations that arise from real-world contexts. The Olympic Games furnish ample data for students to connect meaningful mathematics with real-world 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.

Teaching Mathematics With Technology: Patterns in Measurement

1993 ◽  
Vol 40 (5) ◽  
pp. 292-295
Author(s):  
Janet Parker ◽  
Connie Carroll Widmer
Keyword(s):  
Real World ◽  
Dynamic Interaction ◽  
School Mathematics ◽  
Teaching Mathematics ◽  
Evaluation Standards ◽  
Hands On ◽  
Concrete Objects ◽  
Real World Problems

Of fall the topics in the K-8 curriculum, perhaps none requires a more active, hands-on approach than does measurement. As advocated in the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989), essential concepts and skills must be developed by engaging students in examining, measuring, comparing, and contrasting a wide variety of shapes. Students must use measurements to investigate and solve real-world problems: “Measurement activities can and should require a dynamic interaction between students and their environment” (NCTM 1989, 116). Formulas should be de-emphasized as activities focus on exploration and estimation. Yet even in activities that focus on actively measuring concrete objects, calculators and computers are valuable tools for recording and organizing data and for extending measurement patterns to pose and test hypotheses.

Building Mathematical Models of Simple Harmonic and Damped Motion

1995 ◽  
Vol 88 (1) ◽  
pp. 18-22
Author(s):  
Thomas Edwards
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Real World ◽  
School Mathematics ◽  
Evaluation Standards ◽  
The Real ◽  
Mathematical Representations ◽  
Real World Problems

Given the recent public mania over bungee jumping, stimulating students' interest in a model of that situation should be an easy “leap.” Students should investigate the connections among various mathematical representations and their relationships to applications in the real world, asserts the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989). Mathematical modeling of real-world problems can make such connections more natural for students, the standards document further indicates. Moreover, explorations of periodic real-world phenomena by all students, as well as the modeling of such phenomena by college-intending students, is called for by Standard 9: Trigonometry.

scholarly journals THE PLANNING OF INTEGRATED STEM EDUCATION BASED ON STANDARDS AND CONTEXTUAL ISSUES OF SUSTAINABLE DEVELOPMENT GOALS (SDG)

2019 ◽  
Vol 4 (1) ◽  
pp. 300
Author(s):  
Loh Su Ling ◽  
Vincent Pang ◽  
Denis Lajium
Keyword(s):  
Sustainable Development ◽  
Stem Education ◽  
Real World ◽  
Sustainable Development Goals ◽  
After School ◽  
Curriculum Standards ◽  
Global Issues ◽  
Integrated Stem ◽  
Development Goals ◽  
Real World Problems

Two important features in Science Technology Engineering Mathematics (STEM) education are integration and solving real world problems.  Despite the efforts to promote STEM education awareness and interest among students and teachers, documented studies on how to explicitly integrate the existing STEM subjects curriculum standards in solving real world problems are limited. This paper describes the planning of after-school STEM education program focusing on relevant global issues related to Sustainable Development Goals (SDG) that integrates the existing curriculum standards of three STEM subject in the lower secondary level. The data collection is mainly through document analysis of the three individual STEM subjects’ standard documents and the planned curriculum map for the school, along with the document on ‘Education for Sustainable Development Goals Learning Objectives’.  Four possible design challenges were formulated based on the themes in SDG incorporating selected standards from the three STEM subjects as well as addition of a few new related concepts and skills.  The description offers a way to assist educators in planning similar STEM education lesson or programmes or activities through integration of the existing individual STEM disciplines curriculum standards for different level and context relevant to the students.   Keywords: Contextual problem solving, integration, standard-based, STEM education, Sustainable Development Goals (SDG). Cite as: Loh, S. L., Pang, V., & Lajium, D. (2019). The planning of integrated STEM education based on standards and contextual issues of Sustainable Development Goals (SDG). Journal of Nusantara Studies, 4(1), 300-315. http://dx.doi.org/10.24200/jonus.vol4iss1pp300-315

Implementing The Standards: Evaluation: A New Vision

1991 ◽  
Vol 84 (4) ◽  
pp. 276-284
Author(s):  
Frank K. Lester ◽  
Diana Lambdin Kroll
Keyword(s):  
Instructional Practices ◽  
Evaluation Process ◽  
School Mathematics ◽  
Curriculum Standards ◽  
Evaluation Standards ◽  
Evaluation Program ◽  
Testing Procedures ◽  
Mathematics Program ◽  
New Vision

Teaching according to the vision of the NCTM's Curriculum and Evaluation Standards will involve numerous changes in the content and instruction of the school mathematics program. Moreover, this vision will also require a change in testing procedures and methods for evaluating the effectiveness of instructional practices (Clarke, Clarke, and Lovitt 1990; EQUALS and California Mathematics Council 1989; NAEP 1987; NCTM 1989). As is pointed out in NCTM's curriculum standards, an evaluation program that is properly aligned with the proposed curriculum standards can no longer use only written tests. Calculators, computers, and manipulatives must be included in the evaluation process.

Illustrating Mathematical Connections: Two Proofs That Only Five Regular Polyhedra Exist

1993 ◽  
Vol 86 (8) ◽  
pp. 657-661
Author(s):  
Peter L. Glidden ◽  
Erin K. Fry
Keyword(s):  
Mathematical Models ◽  
Real World ◽  
Mathematics Curriculum ◽  
Three Dimensional ◽  
Discrete Mathematics ◽  
Evaluation Standards ◽  
Mathematical Connections ◽  
Regular Polyhedra ◽  
Real World Problems

The reforms proposed in the NCTM's Curriculum and Evaluation Standards (1989) call for specific changes in the grades 9-12 mathematics curriculum, as well as for general themes that should be emphasized throughout the curriculum. In particular, the standards document calls for including topics from discrete mathematics and three-dimensional geometry, and it calls for increased emphasis on paragraph-style proofs. Overall, these and other topics should be taught with the ultimate goals of illustrating mathematical connections and constructing mathematical models to solve real-world problems.

Promising Research: The World's Largest Math Event: Promoting Mathematical Thinking

1999 ◽  
Vol 5 (7) ◽  
pp. 430-432
Author(s):  
Daniel J. Brahier ◽  
Melfried Olson
Keyword(s):  
United States ◽  
Real World ◽  
Mathematical Thinking ◽  
The United States ◽  
School Mathematics ◽  
Evaluation Standards ◽  
The World

The Great Sphinx in Egypt is about 73.2 m (240 ft.) long, including the paws, which are each 15.3 m (50 ft.) long. Would one of its paws fit in a typical classroom? Would it fit in the school hallway? If the 90 800 kg (200 000 lbs.) of copper sheeting that make up the Statue of Liberty were melted down into pennies, how many pennies could be produced? How high would the pennies stand if they were stacked on one another? In which city and state would you find the world's largest ball of twine? Where would you find the world's largest catsup bottle? Such questions were the focus of the World's Largest Math Event 4— Landmarks: Seeing the World by Numbers— in April 1998. All over the United States and throughout the world, tens of thousands of students, from kindergarten through college, participated in the event. With the emphasis that the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) places on having students use real-world phenomena as a context for the study of mathematics, the World's Largest Math Event is a popular program.

Thematic Webbing and the Curriculum Standards in the Primary Grades

1994 ◽  
Vol 41 (6) ◽  
pp. 294-298
Author(s):  
Jenny A. Piazza ◽  
Margaret M. Scott ◽  
Elizabeth C. Carver
Keyword(s):  
Instructional Practices ◽  
Mathematical Knowledge ◽  
Mathematical Thinking ◽  
Primary Grades ◽  
School Mathematics ◽  
National Council ◽  
Curriculum Standards ◽  
Evaluation Standards ◽  
Curricular Content

The National Council of Teachers of Mathematics's Curriculum and Evaluation Standards for School Mathematics (1989) reflects the importance of understanding the development of knowledge at the K-4 level. The standards document recognizes that current instructional and curricular content must focus on students' active construction of mathematical knowledge. Instructional practices need to be conceptually oriented, involve children actively, emphasize the development of mathematical thinking and application, and include a broad range of content.

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