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McGraw, Rebecca – Mathematics Teacher, 2017

The task shared in this article provides geometry students with opportunities to recall and use basic geometry vocabulary, extend their knowledge of area relationships, and create area formulas. It is characterized by reasoning and sense making (NCTM 2009) and the "Construct viable arguments and critique the reasoning of others"…

Descriptors: Mathematics Education, Geometric Concepts, Mathematical Formulas, Mathematics Skills

McDowell, Eric L. – Mathematics Teacher, 2016

By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…

Descriptors: Fractions, Number Systems, Number Concepts, Numbers

Bu, Lingguo – Mathematics Teacher, 2013

Many preservice teachers come into teacher education programs with a rule-based view of mathematics, a view that is to a large extent indicative of their previous school experiences. In teaching preservice elementary school teachers, this author has used his instrumental understanding as the starting point for rich discussions about the…

Descriptors: Preservice Teachers, Student Teacher Attitudes, Mathematics Instruction, Elementary School Mathematics

CadwalladerOlsker, Todd D. – Mathematics Teacher, 2011

Bayes's theorem is notorious for being a difficult topic to learn and to teach. Problems involving Bayes's theorem (either implicitly or explicitly) generally involve calculations based on two or more given probabilities and their complements. Further, a correct solution depends on students' ability to interpret the problem correctly. Most people…

Descriptors: Critical Thinking, Probability, Mathematical Logic, Mathematics Skills

Zullo, Holly S. – Mathematics Teacher, 2011

Card tricks based on mathematical principles can be a great way to get students interested in exploring some important mathematical ideas. In this article, the author discusses a simple spreadsheet implementation that shows students why the card trick works and allows them to explore several variations. As an added bonus, students are introduced…

Descriptors: Mathematical Concepts, Teaching Methods, Mathematics Activities, Mathematics Instruction

Kader, Gary D.; Franklin, Christine A. – Mathematics Teacher, 2008

This article describes an activity for developing the notion of association between two quantitative variables. By exploring a collection of scatter plots, the authors propose a nonstandard "intuitive" measure of association; and by examining properties of this measure, they develop the more standard measure, Pearson's Correlation Coefficient. The…

Descriptors: Correlation, Mathematics Instruction, Measurement Techniques, Statistics

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

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

Gantner, Thomas E. – Mathematics Teacher, 1990

Presents two methods for replacing a series by one converging more rapidly: regrouping the terms of a series and manipulations of power series. Describes a general algorithm for approximating the natural logarithm of any number. (YP)

Descriptors: Algorithms, Logarithms, Mathematical Concepts, Mathematical Formulas