A functional analysis identified the reinforcer maintaining feces throwing and spitting exhibited by a captive adult chimpanzee ("Pan troglodytes"). The implementation of a function-based treatment combining extinction with differential reinforcement of an alternate behavior decreased levels of inappropriate behavior. These findings further…

For those instructors lacking artistic skills, teaching 3-dimensional calculus can be a challenge. Although some instructors spend a great deal of time working on their illustrations, trying to get them just right, students nevertheless often have a difficult time understanding some of them. To address this problem, the author has written a series…

This article provides a survey of some basic results in algebraic number theory and applies this material to prove that the cyclotomic integers generated by a seventh root of unity are a unique factorization domain. Part of the proof uses the computer algebra system Maple to find and verify factorizations. The proofs use a combination of historic…

This address used a narrative style to convey several stories drawn from the speaker's life. These stories illustrated various points about the value of experience for expanding learners' deep understandings of the content through the use of know-how knowledge. Know-how knowledge was contrasted with know-that knowledge in order to demonstrate the…

Traditionally, early childhood educators address the gaping hole in their planning books under the "social studies" header by teaching a smattering of thematic units. Most early childhood educators now know the importance of planning experiences for social studies, or any other content area, that are integrated, meaningful, and of high interest.…

The author states that a central debate in the issue of continuing education for health science professionals is voluntary versus mandatory participation. She questions the assumption that participation in continuing education equals continuing competence and proposes a throrough examination of the rationale, opportunities, and obstacles related…

This study focuses on students enrolled in academic CPR workshops in the summer of 2002. The goal of the study is to examine changes in the population of students with academic problems. The CPR workshops are a requirement for students that are subject to dismissal. The study was conducted in the summer of 2003 on the telephone with a random…

Designed to take advantage of the spring season, this resource packet on maple products centers upon a field lesson in harvesting and making maple syrup. The resources in this packet include: a narrative on the origins of maple sugar; an illustrated description of "old time maple sugarin'"; suggestions for pre-trip activities (history of…

Many counting problems can be modeled as "colorings" and solved by considering symmetries and Polya's cycle index polynomial. This paper presents a "Maple 7" program link http://users.tamuk.edu/kfdrc00/ that, given Polya's cycle index polynomial, determines all possible associated colorings and their partitioning into equivalence classes. These…

Many popular mathematical software products including Maple, Mathematica, Derive, Mathcad, Matlab, and some of the TI calculators produce incorrect graphs because they use complex arithmetic instead of "real" arithmetic. This article expounds on this issue, provides possible remedies for instructors to share with their students, and demonstrates…

Suicide deaths are often viewed as sudden and unexpected. Research examining bereavement responses to suicide are generally set within this conceptual framework. Twenty-two parents were interviewed about their bereavement experience following the suicide death of a young adult son or daughter. Data analyzed using narrative methods revealed the…

At the Grand Portage Elementary School on a Chippewa Reservation in Minnesota, children made maple syrup as a school project. (Author)

Some examples from different areas of mathematics are explored to give a working knowledge of the computer algebra system Maple. Perfect numbers and Mersenne primes, which have fascinated people for a very long time and continue to do so, are studied using Maple and some questions are posed that still await answers.

Since the last decade, the use of computer algebra systems at the Hong Kong school level is still very limited. Among various reasons behind, the lack of exposure of this kind of software to local school teachers should be taken into account. In this article, we describe how to introduce MAPLE in a BEd module of a local teacher-training programme.…

The modular exponentiation, y[equivalent to]x[superscript k](mod n) with x,y,k,n integers and n [greater than] 1; is the most fundamental operation in RSA and ElGamal public-key cryptographic systems. Thus the efficiency of RSA and ElGamal depends entirely on the efficiency of the modular exponentiation. The same situation arises also in elliptic…