Discusses the principles, construction, and operation of an apparatus which serves to demonstrate the non-colinearity of the angular velocity and momentum vectors as well as the inertial tensors. Applications of the apparatus to teaching of advanced undergraduate mechanics courses are recommended. (CC)

Unit 23 in the SMSG secondary school mathematics series is a student text covering the following topics in matrix algebra: matrix operations, the algebra of 2 X 2 matrices, matrices and linear systems, representation of column matrices as geometric vectors, and transformations of the plane. Listed in the appendix are four research exercises in…

This volume is an experimental edition for a high school course in the theory of matrices and vectors. One of the basic aims is to demonstrate the structure of mathematics. Another criterion is to provide some tools that will be useful in the student's transition from school to college. A last objective is that the intellectually vigorous students…

This paper discusses how students' participation in conversation and classroom activities potentially evidences and constitutes their cognition. Participation is viewed in terms of reflective discourse, a construct from the literature, and is described in the context of two Year 11 students together designing a simple aplet for their graphics…

Mathematics is an "artificial" deliberately constructed language, supported crucially by: (1) special alpha-numeric characters and usages; (2) extra-special non-alphanumeric symbols; (3) special written formats within a single line, such as superscripts and subscripts; (4) grouping along a line, including bracketing using round brackets,…

This publication contains materials for three courses in Applied Math in the Applied Academics program at South Seattle Community College. It begins with the article, "Community College Applied Academics: The State of the Art?" (George B. Neff), which describes the characteristics, model, courses, and coordination activity that make up…

Pitch-synchronous, time-domain operation on digitized waveforms of human speech produces artificial changes in prosodic parameters, especially fundamental frequency and rhythm. Pitch of voiced segments is raised or lowered by an algorithm which truncates or "pads," respectively, each pitch period in the stored vector by an appropriate…

Despite the recent advances in systems and network security, attacks on large enterprise networks consistently impose serious challenges to maintaining data privacy and software service integrity. We identify two main problems that contribute to increasing the security risk in a networked environment: (i) vulnerable servers, workstations, and…

High school and undergraduate subjects were randomly assigned to either a semantic or symbolic learning program concerning the computation of the derivative of an algebraic expression and the multiplication of vectors in order to study aptitude-achievement interaction. Results of achievement and ability tests indicated that there does exist…

APL/1500 is an interpretive time-sharing system that builds upon the array operations and structural integrity of APL (A Programming Language) to allow the implementation of the IBM 1500 Instructional System. This is a revision of the original user's guide supplied with the first release of the APL system for the 1500. This version of APL/1500…

Implementation of an adaptive achievement test for teaching signed-numbers operations to junior high students is described. A computer program capable of finding 240 basic errors in signed-number computations was written on the PLATO system and used for analyzing a 64-item conventional test, as well as an adaptive test of addition problems. The…

Two factor analysis algorithms, previously described by P. Horst, have been programed for use on the General Electric Time-Sharing Computer System. The first of these, Principal Components Analysis (PCA), uses the Basic Structure Successive Factor Method With Residual Matrices algorithm to obtain the principal component vectors of a correlation…

Speech recognition is one of five main areas in the field of speech processing. Difficulties in speech recognition include variability in sound within and across speakers, in channel, in background noise, and of speech production. Speech recognition can be used in a variety of situations: to perform query operations and phone call transfers; for…

This programed text is an introduction to the algebra of complex numbers for engineering students, particularly because of its relevance to important problems of applications in electrical engineering. It is designed for a person who is well experienced with the algebra of real numbers and calculus, but who has no experience with complex number…

This eight-volume student text is designed for use by Air Force personnel enrolled in a self-study extension course for pest management specialists. Covered in the individual volumes are civil engineering; pest management (entomology, pest management planning and coordination, and safety and protective equipment); pest management chemicals and…