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Peer reviewed

Rao, C. Radhakrishna – International Journal of Mathematical Education in Science and Technology, 1971

The author presents a syllabus for an introductory (first year after high school) course in statistics and probability and some methods of teaching statistical techniques. The description comes basically from the procedures used at the Indian Statistical Institute, Calcutta. (JG)

Descriptors: College Mathematics, Instruction, Probability, Statistics

Peer reviewed

Engel, Arthur – International Journal of Mathematical Education in Science and Technology, 1971

A discussion of the importance and procedures for including probability in the elementary through secondary mathematics curriculum is presented. Many examples and problems are presented which the author feels students can understand and will be motivated to do. Random digits, Monte Carlo methods, combinatorial theory, and Markov chains are…

Descriptors: Elementary School Mathematics, Instruction, Monte Carlo Methods, Probability

Peer reviewed

Wegman, Edward J. – International Journal of Mathematical Education in Science and Technology, 1974

The use of computer graphics in an introductory statistics course is described. The advantages over more traditional diagrammatic representations are discussed and an outline is given of two computer-supported graphic display systems. A description is also provided of an experiment, designed to evaluate the influence of such graphic aids. (JP)

Descriptors: College Mathematics, Computer Assisted Instruction, Computer Graphics, Course Descriptions

Peer reviewed

Alker, Hayward R., Jr. – International Journal of Mathematical Education in Science and Technology, 1974

Achievements, limitations, and difficulties of social science simulation efforts are discussed with particular reference to three examples. The pedagogical use of complementary developmental, philosophical, mathematical, and scientific approaches is advocated to minimize potential abuses of social simulation research. (LS)

Descriptors: Behavioral Science Research, Computers, Instruction, Interdisciplinary Approach

Peer reviewed

Cox, Margaret; And Others – International Journal of Mathematical Education in Science and Technology, 1974

Descriptors: Analog Computers, College Science, Computer Oriented Programs, Computers

Peer reviewed

Cornelius, M. L. – International Journal of Mathematical Education in Science and Technology, 1974

The question of how well secondary mathematics education prepares students for college work is discussed. Problems at both levels are presented. Student comments reflect their wishes and attitudes. Interchange of teaching roles is suggested as one possible aid. (LS)

Descriptors: Articulation (Education), College Mathematics, Curriculum, Instruction

Peer reviewed

Maor, Eli – International Journal of Mathematical Education in Science and Technology, 1974

An interpretation of the transformation formulas for rotations in a plane in terms of the exponential function is given. Addition of two rotations is shown to correspond to the multiplication of the two corresponding matrices. (Author/LS)

Descriptors: College Mathematics, Geometric Concepts, Instruction, Mathematical Formulas

Peer reviewed

Astin, J. – International Journal of Mathematical Education in Science and Technology, 1974

A systematic approach to general orthogonal co-ordinates, suitable for use near the end of a beginning vector analysis course, is presented. It introduces students to tensor quantities and shows how equations and quantities needed in classical problems can be determined. (Author/LS)

Descriptors: Calculus, College Mathematics, Geometric Concepts, Instruction

Peer reviewed

Flener, Frederick O. – International Journal of Mathematical Education in Science and Technology, 1978

Questions regarding the type of teacher input and its effect on immediate and delayed performance in student problem-solving are examined. Specific guidelines for the classroom teacher are then suggested. (Author/MA)

Descriptors: Achievement, Educational Research, Guidelines, Instruction

Peer reviewed

Seltman, Muriel; Seltman, P. E. J. – International Journal of Mathematical Education in Science and Technology, 1978

The authors stress the importance of bringing together the causal logic of history and the formal logic of mathematics in order to humanize mathematics and make it more accessible. An example of such treatment is given in a discussion of the centrality of Euclid and the Euclidean system to mathematics development. (MN)

Descriptors: Curriculum Development, Geometric Concepts, Historiography, History

Peer reviewed

Remus, William – International Journal of Mathematical Education in Science and Technology, 1978

The process of designing a learning system for an undergraduate business course in problem solving is described. The system includes pre-testing, problem solving strategies, providing practice and evaluating systems performance. (MN)

Descriptors: Business Education, Class Organization, College Mathematics, Course Descriptions

Peer reviewed

Kapur, J. N. – International Journal of Mathematical Education in Science and Technology, 1977

The author concludes that the teacher and the spirit in which he teaches are more important than distinctions between traditional and new (or modern) mathematics. (JLH)

Descriptors: Curriculum, Instruction, Mathematicians, Mathematics Education

Peer reviewed

Sharp, J. J.; Moore, E. – International Journal of Mathematical Education in Science and Technology, 1977

This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)

Descriptors: Calculus, Civil Engineering, College Mathematics, Engineering Education

Peer reviewed

Daly, D. W.; And Others – International Journal of Mathematical Education in Science and Technology, 1977

This paper describes the nature and use of a computer-assisted sequence of instruction in college-level mathematics. Units in differential and integral calculus and geometry are described. The authors claim that students acquire increased confidence in their knowledge and problem-solving ability. (SD)

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Curriculum

Peer reviewed

MacDonald, T. H. – International Journal of Mathematical Education in Science and Technology, 1977

The author develops a four-stage model for concept-internalization. The stages are: (1) concrete structure; (2) linguistic structure; (3) algorithm; and (4) mastery. The model is related to teaching methods and the teaching of long division is examined in detail. (SD)

Descriptors: Algorithms, Cognitive Development, Division, Elementary School Mathematics