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Direct linkSwenton, Frank J. – International Journal of Mathematical Education in Science & Technology, 2006
The paper details a comprehensive system for the treatment of the topic of limits--conceptually, computationally, and formally. The system addresses fundamental linguistic flaws in the standard presentation of limits, which attempts to force limit discussion into the language of individual real numbers and equality. The system of near-numbers…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Number Systems
Peer reviewedSchoen, Harold L. – Two-Year College Mathematics Journal, 1972
Descriptors: College Mathematics, Geometry, Instruction, Mathematics
Peer reviewedBerghout, R. F. – Australian Mathematics Teacher, 1974
Several excerpts from Euclid's "Elements" are cited, and their applications to the natural, positive rational, and positive real number systems are discussed. (SD)
Descriptors: Geometry, Mathematics Education, Mathematics History, Measurement
Rosenfeld, Bob – MATYC Journal, 1978
An approach close to the original Greek geometric point of view regarding the question and proof of the irrationality of the square root of two is given. (MN)
Descriptors: College Mathematics, Geometry, Higher Education, History
Peer reviewedPicard, Anthony J. – Mathematics Teacher, 1971
Descriptors: Congruence, Geometry, Graphs, Mathematical Concepts
Peer reviewedWatson, F. R. – Mathematics in School, 1976
A series of questions can be posed and resolved in the process of teaching that the decimal expansions of rationals are terminating or repeating. (SD)
Descriptors: Curriculum, Decimal Fractions, Geometry, Instruction
Download full textSouth Carolina State Dept. of Education, Columbia. – 1965
This guide contains an outline of topics to be included in individual subject areas in secondary school mathematics and some specific suggestions for teaching them. Areas covered include--(1) fundamentals of mathematics included in seventh and eighth grades and general mathematics in the high school, (2) algebra concepts for courses one and two,…
Descriptors: Advanced Programs, Algebra, Analytic Geometry, Course Content
DeVenney, William S.; And Others – 1971
This manual was designed for use by teachers using the School Mathematics Study Group's (SMSG) special text series for low achievers in grades 7 and 8; it covers chapters 10 through 18 of that series. The manual begins with introductory material describing characteristics of low-achieving students and suggested instructional approaches. Testing…
Descriptors: Curriculum, Geometric Concepts, Geometry, Instruction
DeVenney, William S.; And Others – 1971
This text is one of the sequence of textbooks produced for low achievers in the seventh and eighth grades by the School Mathematics Study Group (SMSG). There are eight texts in the sequence, of which this is the sixth. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…
Descriptors: Curriculum, Geometric Concepts, Geometry, Graphs
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction. – 1986
This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…
Descriptors: Algebra, Computer Assisted Instruction, Computer Graphics, Computer Uses in Education
