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Manouchehri, Azita – Mathematics Teacher, 2007

"Principles and Standards for School Mathematics" (NCTM 2000) proposes that mathematics instruction provide opportunities for students to engage in mathematical inquiry and in meaning-making through discourse. Mathematics teachers are encouraged to build on student discoveries in designing subsequent instruction. In this article, the author…

Descriptors: Mathematics Instruction, Inquiry, Mathematics Skills, Mathematical Concepts

Marcus, Robin; Fukawa-Connelly, Tim; Conklin, Michael; Fey, James T. – Mathematics Teacher, 2007

This article describes recommendations made by participants in a large project of the Mathematical Association of America (MAA), in which representatives of "partner disciplines" shared what they would like students to learn in the first two years of college mathematics. The article further suggests implications for high school mathematics.…

Descriptors: College Mathematics, Secondary School Mathematics, High Schools, Mathematics Instruction

Rubel, Laurie H.; Zolkower, Betina A. – Mathematics Teacher, 2007

The National Council of Teachers of Mathematics (2000) recommends that students at all grade levels be provided with instructional programs that enable them to "create and use representations to organize, record, and communicate mathematical ideas; select, apply, and translate among mathematical representations to solve problems; and use…

Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, Mathematical Concepts

Turton, Roger W. – Mathematics Teacher, 2007

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

Descriptors: Probability, Algebra, Problem Solving, Monte Carlo Methods

Peer reviewed

Scheaffer, Richard L. – Mathematics Teacher, 1990

Outlines differences between classical statistics and exploratory data analysis. Provides examples in the use of the exploratory techniques. (YP)

Descriptors: Data Analysis, Evaluation Methods, Graphs, Mathematical Models

Peer reviewed

DeTemple, Duane W. – Mathematics Teacher, 1990

Describes how to get equations for parabolas, ellipses, and hyperbolas from conic sections. Provides diagrams both in perspective and in cross-section for each case. (YP)

Descriptors: Equations (Mathematics), Geometric Concepts, Geometric Constructions, Geometry

Peer reviewed

Mitchell, Charles E. – Mathematics Teacher, 1990

Describes projects focusing on needs of business and industry and the preparation of high school graduates to meet these needs. Discusses some areas of mathematics that teachers and employers thought were neglected in the current curriculum. (YP)

Descriptors: Job Skills, Mathematical Applications, Mathematics, Mathematics Curriculum

Peer reviewed

Demana, Franklin; Waits, Bert K. – Mathematics Teacher, 1990

Discussed are assumptions about technology and classroom equipment, teaching methods, getting started, pitfalls, and the role of algebra and calculus. Suggestions are given for implementing the spirit and vision of the standards. (YP)

Descriptors: Algebra, Computer Uses in Education, Educational Technology, Graphing Calculators

Peer reviewed

Ulep, Soledad A. – Mathematics Teacher, 1990

Discusses solving inequality problems involving linear programing. Describes the usual and alternative approaches. Presents an intuitive approach for finding a feasible solution by maximizing the objective function. (YP)

Descriptors: Algebra, Graphs, Inequality (Mathematics), Mathematical Formulas

Peer reviewed

Wielenberg, Peggy – Mathematics Teacher, 1990

Discusses geometric construction problems. Presents four ways to construct a regular octagon using different conditions. Provides drawings showing the constructions. (YP)

Descriptors: Geometric Concepts, Geometric Constructions, Geometry, Mathematics Materials

Peer reviewed

Miller, L. Diane; Miller, Jim – Mathematics Teacher, 1989

Described is how the faculty of a high school accepted the responsibility of helping students gain a better working knowledge of metric measures during National Metric Week. Day-by-day activities for a week are included. Eight references are listed. (YP)

Descriptors: Mathematical Vocabulary, Mathematics Achievement, Mathematics Education, Mathematics Instruction

Peer reviewed

Braswell, James S. – Mathematics Teacher, 1992

Described are important changes that will be introduced in the mathematics sections of the new Scholastic Aptitude Test (SAT). The three main changes are (1) permission to use calculators; (2) inclusion of open-ended questions; and (3) content revisions consistent with the National Council of Teachers of Mathematics "Curriculum and Evaluation…

Descriptors: Calculators, Mathematics Achievement, Mathematics Education, Mathematics Skills

Peer reviewed

Noble, A. Candace; Mullen, Kenneth B. – Mathematics Teacher, 1992

Presented is a summary of the actions taken by American College Testing in response to calls for reform in standardized testing. The areas of reform discussed are test development, test content, skills levels, test criteria, and new testing initiatives, such as alternative-response-format questions and calculator use. (MDH)

Descriptors: Calculators, Mathematics Achievement, Mathematics Education, Mathematics Skills

Peer reviewed

Walton, Karen Doyle – Mathematics Teacher, 1990

Discusses the use of the mathematics classroom for discovering the relationship among computers, mathematics, and real-world problems. Provides three probability problems and compares the results of three methods, actual trial, computer simulation, and mathematical solution. (YP)

Descriptors: College Mathematics, Computer Simulation, Computer Uses in Education, Higher Education

Peer reviewed

Kern, Jane F.; Mauk, Cherry C. – Mathematics Teacher, 1990

Discusses the concepts of fractals, fractal dimension, and the generation of fractals in LOGO. Provides diagrams of several fractals and their LOGO programs. Lists eight references. (YP)

Descriptors: Computer Assisted Instruction, Computer Software, Fractals, Mathematical Concepts