This student textbook is designed to incorporate programable calculators in grade 11 mathematics. The eight chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Exponents and Logarithms; (3) Trigonometry of the Right Triangle; (4) Trigonometry Beyong the Right Triangle; (5) Graphs of the Trigonometric Functions and…

Fourteen research reports related to mathematics education are abstracted and analyzed. Two of the reports deal with teacher education, two with problem solving, three with basic operations, and one each with learning disabled students, rational numbers, proportional reasoning, counting, teacher effectiveness, group cooperation on mathematical…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program for the Upper Primary Grades, Part IV. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The four "Galaxy of Problems"…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program for the Intermediate Grades, Part VI. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The six "Collage of Problems" booklets…

A practical machine translation system called CULT (Chinese University Language Translator), capable of translating Chinese mathematical texts into readable English, has been developed during the period 1969-1977 at the Chinese University of Hong Kong. Programs for the system are written in Standard FORTRAN and run on the ICL1904A computer system.…

Parts one and two of a one-year computer-oriented calculus course (without analytic geometry) are presented. The ideas of calculus are introduced and motivated through computer (i.e., algorithmic) concepts. An introduction to computing via algorithms and a simple flow chart language allows the book to be self-contained, except that material on…

The purpose of this monograph is to show that sufficient achievements in scaling applications have been made to justify serious study of scaling methodologies, particularly multidimensional scaling (MDS) as a tool for geographers. To be useful research, it was felt that the common methodological and technical problems that specialized researchers…

This report covers research conducted between July 1972 and March 1973. Experiments were conducted on the automatic detection of constituent boundaries and location of stressed syllables by analysis of fundamental frequency and energy contours, for recordings of six talkers reading the Rainbow Script, two talkers reading a paragraph composed of…

A review is presented of the role of algorithms in learning and instruction. The paper first describes an algorithm as a procedure guaranteed to produce a correct result and lists its features as: 1) having a reasonably finite number of unambiguously defined operations; 2) having zero or more inputs from a specified domain; 3) having outputs with…

The problem of structuring sequences of instructional stimuli such that learning is optimized is modelled as a sequential decision problem with an imbedded mathematical model of learning providing a criterion function. Three types of optimization methods for such a representation are investigated for the specific case of paired-associate learning…

A relational data system (RDS) is one that has the capability not only to retrieve specific facts but also the ability to deduce facts that are implicit rather than explicit in the data base. The study investigated the application of RDS technology to intelligence data processing. RDS technology and the nature of intelligence data processing are…

A general method for estimating the unknown coefficients in a set of linear structural equations is described. In its most general form the method allows for both errors in equations (residuals, disturbances) and errors in variables (errors of measurement, observational errors) and yields estimates of the residual variance-covariance matrix and…

This document is an English-language abstract (approximately 1,500 words) of a book dealing with certain problems of modern teaching techniques, general ones on the one hand, and algorithms on the other, viewed from the point of mathematical logic, information theory, psychology and didactics. The concept of teaching is based on a number of…

Describes algorithms and shows how they can be applied to the design of instructional systems by relating them to a standard information processing model. Two studies are briefly described which tested serial and parallel processing in learning and offered guidelines for designers. Future research needs are also discussed. (LRW)

Differentiates between problems, exercises and algorithms. Discusses the role of algorithms in solving problems and exercises in chemistry. Suggests that very real differences exist between solving problems and exercises, and that problem solving steps can be and should be taught in chemistry education. (TW)