We present a modernization of the undergraduate physical chemistry laboratory experiment for determining the speed of sound in various gases from resonant frequencies in a spherical resonator. The resonator (schematic IR = 7.5 cm) is constructed by 3D printing with eco-friendly poly(lactic acid), a commercially viable alternative to traditional…

Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to "The New Zealand Curriculum" and national mathematics standards. There are many fascinating examples of investigative learning experiences,…

A number of ideas in complexity theory are reviewed and then it is shown that all known classes of complexity of really unmanageable problems have instances in education. These are common problems in the teaching of every branch of science, knowledge and human culture. Selected pedagogic problems classify as NP-harsh problems, i.e. NP-hard…

Arizona State University uses the Computer-Administered Mathematics Examination to identify preservice teachers who need mathematics remediation. Reported are the results of the testing of several groups of students. Some of the students were retested after remediation. (RH)

Provides a BASIC program to compute the number of shuffles required for packs containing even numbers of cards up to 100. Lists 4 further questions on the shuffling program. (YP)

Reported and compared are recent recommendations regarding the potential for computer technology in school mathematics. These recommendations are also compared to current practice and to earlier recommendations. (RH)

Describes laboratory-oriented software programs that are short, time-saving, eliminate computational errors, and not found in public domain courseware. Program availability for IBM and Apple microcomputers is included. (RT)

Described are procedures for multiplying matrices using Logo. Examples of computer programming are included. (RH)

Described is the history and characteristics of "A Programming Language (APL)." Discussed are how APL facilitates learning the concepts of variable and function and how to get started using APL. Listed are software for schools and 25 references. (Author/YP)

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Provided is an overview and analysis of recent progress in applying electronic information technology to creation of new environments for intellectual work in mathematics. Describes the impact of numerical computation, graphic computation, symbolic computation, multiple representation of information, programing and information, and artificial…

Described are several programs that enable the user to evaluate derivatives to order n of any elementary function by using the combination of automatic differentiation method and A Programming Language (APL). Programs calculating first- and higher-order derivatives are presented. Selected APL symbols are appended. (YP)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

Discusses the use of the mathematics classroom for discovering the relationship among computers, mathematics, and real-world problems. Provides three probability problems and compares the results of three methods, actual trial, computer simulation, and mathematical solution. (YP)

Describes a five-dice game, horse. Discusses the offensive player's strategy using the ideas of probability, such as counting outcomes, mutually exclusive events, conditional probabilities, zero sum games, and the use of computer. (YP)