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Reimann, Kurt W. – Mathematics Teacher, 1980
A generalized method of synthetic division where the divisor polynomial may be of any degree equal to or larger than 1, and the dividend polynomial may be of equal or larger degree than the divisor polynomial and a generalization of the familiar remainder theorem, are presented. (Author/MK)
Descriptors: Algebra, Algorithms, Division, Mathematics Curriculum

Hart, Eric W. – Mathematics Teacher, 1985
Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)
Descriptors: Algorithms, College Mathematics, Higher Education, Mathematics Curriculum

Davies, H. B. – International Journal of Mathematical Education in Science and Technology, 1980
Attention is drawn to an ancient Greek method for finding the least common multiple (LCM) of two numbers. A link is established between this method and a well-known method of obtaining the highest common factor (HCF) numbers. This leads to consideration of some relationships between HCF and LCM. (Author/MK)
Descriptors: Algorithms, Mathematical Formulas, Mathematics Curriculum, Mathematics Instruction

Thompson, John C., III – School Science and Mathematics, 1980
Results of this study, done with underachieving ninth graders, indicate that flow charting as a structure for basic skills instruction can be considered as effective as the traditional approach. (MK)
Descriptors: Algorithms, Basic Skills, Flow Charts, Mathematics Curriculum
Stanford Univ., CA. School Mathematics Study Group. – 1968
This is the second unit of a 15-unit School Mathematics Study Group (SMSG) mathematics text for high school students. Topics presented in the first chapter (Informal Algorithms and Flow Charts) include: changing a flat tire; algorithms, flow charts, and computers; assignment and variables; input and output; using a variable as a counter; decisions…
Descriptors: Algorithms, Flow Charts, High Schools, Mathematical Applications
Sage, Edwin R. – 1969
Intended to be used in conjunction with a traditional curriculum, this book demonstrates the use of the computer, especially the on-line, interactive type of computer, to solve a variety of problems studied in secondary school mathematics. Each chapter presents several problems, and each problem introduces one or two concepts that must be…
Descriptors: Algebra, Algorithms, Arithmetic, Computer Oriented Programs

Katz, Victor J. – For the Learning of Mathematics, 1986
Some concrete examples of the use of historical materials in developing certain topics from precalculus and calculus are presented. Ideas which can be introduced with a reformulated curriculum are discussed in five areas: algorithms, combinatorics, logarithms, trigonometry, and mathematical models. (MNS)
Descriptors: Algorithms, Calculus, College Mathematics, Higher Education
Fey, James T., Ed.; And Others – 1984
The papers in this report represent the imagination, analysis, and experiences of many people involved in recent curricular studies in secondary school mathematics. It differs from reports that seek broad agreement on conservative, traditional curricula, representing instead the point of view of those working with emerging electronic technology…
Descriptors: Algebra, Algorithms, Calculus, Computer Oriented Programs

Sawyer, W. W. – Mathematics in School, 1988
The author advocates a return to "traditional" elementary algebra content. Several roles for algebra manipulation are identified, including making arithmetic more interesting and understandable and providing facility indispensable for both the technician and the mathematician. (PK)
Descriptors: Algebra, Algorithms, Arithmetic, Course Content

Whitcombe, Allan – Mathematics in School, 1988
In spite of current sentiment to the contrary, the wellsprings of mathematics are not utility and relevance, but creativity, imagination, and an appreciation of the beauty of the subject. This has implications for the teaching of mathematics. (PK)
Descriptors: Algorithms, Creativity, Elementary School Mathematics, Elementary Secondary Education

Carpenter, Thomas P.; And Others – Mathematics Teacher, 1980
Student weaknesses on problem-solving portions of the NAEP mathematics assessment are discussed using Polya's heuristics as a framework. Recommendations for classroom instruction are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Algorithms, Experiential Learning, Mathematical Models, Mathematics Curriculum
Gentry, Darrell L.; Kennedy, Robert L. – 1988
After an introduction including a brief history of measurement, conversion of units within the customary system, within the metric system, and from customary to metric and vice versa are discussed. A fraction/multiplication system is introduced to teach correct alignment of units of measurement and to direct proper multiplication and division of…
Descriptors: Algorithms, Elementary School Mathematics, Elementary Secondary Education, Fractions
Sawyer, Ray C. – 1973
The purpose of this project was to determine if the method of subtraction of integers taught to seventh grade students affected their mathematics achievement or retention. Computation, concept, and problem-solving sections of the California Achievement Test were given as pretests and posttests. An investigator-constructed test of the addition and…
Descriptors: Algorithms, Doctoral Dissertations, Educational Research, Grade 7

Schoenfeld, Alan H.; Arcavi, Abraham – Mathematics Teacher, 1988
The concept of variable is central to mathematics teaching and learning in junior and senior high schools. Described is a structured reflexive exercise designed to reexamine the notion of variable and to rediscover its richness and multiplicity of meaning. (PK)
Descriptors: Algebra, Algorithms, Equations (Mathematics), Functions (Mathematics)

O'Donnell, William J. – Mathematics Teacher, 1988
Discusses computer methods for finding roots of polynomials. The program provided finds rational roots and prints the roots as rational numbers. (PK)
Descriptors: Algebra, Algorithms, Computer Assisted Instruction, Computer Uses in Education
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