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Jones, Dustin L. – Mathematics Teacher, 2009

The author describes an activity where prospective mathematics teachers made hypotheses about the dimensions of a fair cylindrical die and conducted experiments with different cylinders. He also provides a model that estimates the probability that a cylinder would land on the lateral surface, depending on the height and diameter of the cylinder.…

Descriptors: Mathematics Teachers, Probability, Mathematics Instruction, Mathematical Concepts

Mulekar, Madhuri S.; Siegel, Murray H. – Mathematics Teacher, 2009

If students are to understand inferential statistics successfully, they must have a profound understanding of the nature of the sampling distribution. Specifically, they must comprehend the determination of the expected value and standard error of a sampling distribution as well as the meaning of the central limit theorem. Many students in a high…

Descriptors: Statistical Inference, Statistics, Sample Size, Error of Measurement

Matthews, Michael E.; Gross, Greg – Mathematics Teacher, 2008

The problem of creating lamp shades to specific design parameters allows rich and interesting explorations in the mathematics of circles and triangles. This interactive project helps students build their spatial reasoning and is especially appropriate during a unit on either the Pythagorean theorem or similar triangles. (Contains 7 figures and 1…

Descriptors: Geometric Concepts, Mathematics Instruction, Geometry, Learning Activities

McGivney-Burelle, Jean; McGivney, Raymond J.; McGivney, Katherine G. – Mathematics Teacher, 2008

This article describes an engaging, data-gathering activity that allows students to explore relationships between latitude and average monthly temperatures of cities in the Western Hemisphere. This data-gathering activity covered interesting and important mathematical ground and engaged students from the start. While students searched for their…

Descriptors: Learning Activities, Climate, Data Collection, Measurement Techniques

Hart, Eric W. – Mathematics Teacher, 2008

This article provides an overview of vertex-edge graphs as an essential topic in the high school mathematics curriculum, including rationale, recommendations, and sample applications. A classroom-ready activity with full teacher notes is also included. (Contains 1 table and 9 figures.)

Descriptors: Mathematics Curriculum, Graphs, Mathematics Instruction, Secondary School Mathematics

Zelkowski, Jeremy; Mayes, Robert – Mathematics Teacher, 2008

The article focuses on engaging students in algebra through modeling real-world problems. The technique of least squares is explored, encouraging students to develop a deeper understanding of the method. (Contains 2 figures and a bibliography.)

Descriptors: Problem Solving, Relevance (Education), Least Squares Statistics, Algebra

Ventress, Andy – Mathematics Teacher, 2008

This article describes the use of digital images of real-life phenomena and interactive software to carry out mathematics investigations. (Contains 13 figures.)

Descriptors: Computer Software, Mathematical Models, Educational Technology, Photography

Piatek-Jimenez, Katrina – Mathematics Teacher, 2008

The triangle congruence conditions are a central focus to nearly any course in Euclidean geometry. The author presents a hands-on activity that uses straws and pipe cleaners to explore and justify the triangle congruence conditions. (Contains 4 figures.)

Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Experiential Learning

Edwards, Thomas G.; Chelst, Kenneth R. – Mathematics Teacher, 2007

When studying mathematics, students often ask the age-old question, "When will I ever use this in my future?" The activities described in this article demonstrate for students a process that brings the power of mathematical reasoning to bear on a difficult decision involving multiple criteria that is sure to resonate with the interests of many of…

Descriptors: Decision Making, Mathematics Instruction, Relevance (Education), Learning Activities

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

Winsor, Matthew S. – Mathematics Teacher, 2007

In this article, the author describes how he created an approach that he terms "Mathematics as a Second Language" (MSL) for teaching ELL students mathematics. The main components of MSL are vocabulary activities, journals, group work, and projects. He used MSL to teach prealgebra to ELL students, as well as to native English speakers, for two…

Descriptors: Action Research, Mathematics Instruction, Limited English Speaking, English (Second Language)

Madden, Sean P.; Comstock, Jocelyn M.; Downing, James P. – Mathematics Teacher, 2006

This article describes how a series of lessons might be used to allow students to discover the size of the Earth, the distance to the Moon, the size of the Moon, and the altitude of Mount Piton on the Moon. Measurement with a sextant, principles of geometry and trigonometry, and historically important scientists and mathematicians are discussed.

Descriptors: Learning Activities, Class Activities, Astronomy, Mathematics

Carlton, Matthew A.; Mortlock, Mary V. – Mathematics Teacher, 2005

An activity using a game-related setting is presented for students to investigate probability and statistics.

Descriptors: Probability, Statistics, Teaching Methods, Educational Games

Parker, Dennis – Mathematics Teacher, 2005

A problem sometimes called Moser's circle problem where a circular region has to be partitioned with chords without any three chords intersecting at one point, is discussed. It is shown that Moser's circle problem makes the students to use a variety of mathematical tools to find correct solutions to problems and gives an opportunity to think about…

Descriptors: Active Learning, Mathematics Instruction, Geometric Concepts, Geometry

Marrongelle, Karen A. – Mathematics Teacher, 2005

NCTM's Principles and Standards for School Mathematics advises that school mathematics experiences at all levels should include opportunities to learn about mathematics by working on problems arising in contexts outside of mathematics. Students should be given the opportunity to learn mathematics by building on their understandings of how the…

Descriptors: Mathematics Education, Student Experience, Teaching Methods, Mathematical Concepts