Describes the Mang Kung Dice Game, popular in China, which uses six special dice. Discusses the probability distribution of possible outcomes. Poses questions about the game to help students understand statistical concepts. (MKR)

Presents an activity on number concepts using a calculator. Suggests that by using a calculator, students can search for patterns and identify them more quickly. This activity helps students make mathematical connections about divisibility rules, carry out investigations, make sense of what happened, and continue their investigation by creating…

Summarizes and extends a well-known geometry theorem that states that any triangle inscribed in a circle with one side of the triangle a diameter of the circle, is a right triangle. (ASK)

Examined the nature of numerical knowledge in 5-month-olds to inform the debate whether numerical abilities result from capacities dedicated to numerical cognition or to more general perceptual capacities. Found that 5-month-olds could determine the number of collective entities, moving groups of items, when non-numerical perceptual factors such…

Examined role of spontaneous gesture in 2- to 4-year-olds' counting and assessment of counting accuracy. Found that correspondence of children's speech and gesture varied systematically across age. Children adhered to one-to-one correspondence principle in gesture prior to speech. Counting accuracy related to correspondence of speech and gesture,…

Fifth graders (n=16) engaged in manipulative activities to improve their grasp of math concepts; one-third were identified as exceptional children. Posttest results after 12 lessons showed the overall class average increased from 49% to 59% and all areas improved compared to pretest scores. Attitude changes were also apparent. (Contains 24…

Three techniques for determining a straight line fit to data are compared. The methods are applied to a range of datasets containing one or more outliers, and to a specific example from the field of chemistry. For the method which is the most resistant to the presence of outliers, a Microsoft Excel spreadsheet, as well as two Matlab routines, are…

This brief article describes a few entertaining math "puzzles" that are easy to use with students at any grade level and with any operation. Not only do these puzzles help provide practice with facts and operations, they are also self-checking and may lead to some interesting big ideas in algebra.

The general perception is that high school teaching of mathematics in South Africa tends to be fairly procedural and that students that enter university are better equipped to deal with procedural problems rather than conceptual. This study compares the conceptual and procedural skills of first-year calculus students in life sciences. Also…

This article describes a representation for percent that can help students deepen their understanding of the proportional nature of percent in its applications. (Contains 4 figures.)

Students often look for real-life situations where they can apply the concepts they learn. A project of measuring the speed of moving cars demonstrates that they learn communication skills, teamwork skills, and develop patience specially when work in a group with a common purpose.

One section of this "scrapbook" section describes Pythagoras' belief in the connections between music and mathematics -- that everything in the universe was a series of harmonies and regulated by music. Another section explains why Phythagoras felt it important for women to be encouraged to learn mathematics. At least 28 women were involved in his…

In this article, the authors discuss a number of new technologies that have emerged to support and enhance learning in public schools. Many of these technologies are not utilized to replace traditional teaching methods, but instead used as supplemental methodologies to enhance student learning, especially for students with disabilities. One low…

This article focuses on how young children build math skills in everyday play and activities. Children focus on six categories of mathematical content including classifying, exploring magnitude, enumerating, investigating dynamics, studying patterns, and exploring spatial relations. The article gives advice to both teachers and parents on how they…

The way in which students can improve their comprehension by understanding the geometrical meaning of algebraic equations or solving algebraic equation geometrically is described. Students can experiment with the conditions of the absolute value equation presented, for an interesting way to form an overall understanding of the concept.