Presents a nontechnical introduction to the field of statistics. Includes discussions on descriptive statistics, random variables, mean, standard deviation, standardized scores, and inferential statistics. Describes six statistical software packages available for IBM personal computers and compatibles. (KR)

Presents music education as a setting for teaching nonlinear dynamics and chaotic behavior connected with fixed-point and limit-cycle attractors. The aim is not music composition but a first approach to an interdisciplinary tool suitable for a single-session class, at either the secondary or undergraduate level, for the introduction of these…

Typically, the mathematical properties concerning the golden ratio are stated correctly, but much of what is presented with respect to the golden ratio in art, architecture, literature, and aesthetics is false or seriously misleading. Discussed here are some of the most commonly repeated misconceptions promulgated, particularly within mathematics…

Assessment of 121 nondisabled elementary boys and 107 boys with attention-deficit hyperactivity disorder (ADHD), ages 7 through 14 years, found significantly lower problem-solving scores in specific math concepts and slower computational performance for the boys with ADHD when reading and problem structure were held constant. Instructional…

Magnitude comparison, calculation verification, and short-term memory span experiments were conducted as a means of investigating number processing in 17 deaf college students with academic weaknesses. Deaf students' level of accuracy did not differ from that shown by their hearing peers; however, mean response times of deaf students were greater…

Presented is a proof where special attention is accorded to rigor and detail in proving the lemma that relates ruler-and-compass constructions to arithmetical operations. The idea that some angles cannot be trisected by a ruler and compass is proved using three different cases. (KR)

Presented is the theorem proposed by Volterra based on the idea that there is no function continuous at each rational point and discontinuous at each irrational point. Discussed are the two conclusions that were drawn by Volterra based on his solution to this problem. (KR)

It is difficult for students to unlearn misconceptions that have been unknowingly reinforced by teachers. The examples "multiplication makes bigger,""pi equals 22/7," and the use of counter examples to demonstrate the numerical property of closure are discussed as potential areas where misconceptions are fostered. (MDH)

In whole concept mathematics, students actually use math and understand the practicality of what they are studying. This learner-centered approach treats students with respect, uses real-life situations, encompasses a variety of learning styles, and involves cooperative learning techniques. (SK)

Focuses on literacy and mathematics and shows how fourth graders worked through "My Travels with Gulliver," an innovative unit that integrated literature, writing, and mathematics so that children could learn concepts across the curriculum. (MG)

Structure of mathematical concept of multiplication and its integration into conceptual system, with respect to formal and informal aspects of understanding for 10 university students, are investigated through linear scale assessment of examples for prototypical effects and through follow-up interview which included direct explanations of…

Presented is the ancient Egyptian algorithm for the operations of multiplication and division of integers and fractions. Theorems involving unit fractions, proved by Fibonacci, justifying and extending the Egyptian or Ahmes' methods into the Hindu-Arabic numeric representational system are given. (MDH)

The effect of equations in scientific proofs on readers' comprehension was studied. Forty college undergraduates solved unfamiliar physics problems with or without a traditional series of related equations. Verbal proofs produced better responses than did equation-based proofs. Equations in proofs cause readers to shift attention away from…

Illustrates one seven-year-old boy's understanding of mathematical relationships through drawings of his favorite "superheroes." Also illustrates how he conveyed the qualities of his heroes by weaving together the three symbol systems of language, art, and mathematics. (BB)

Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…