Descriptor
Source
Author
Olson, Alton T. | 2 |
Arcavi, Abraham | 1 |
Aslan, Farhad | 1 |
Ball, Stanley | 1 |
Beattie, Ian D. | 1 |
Bruckheimer, Maxim | 1 |
Burrows, Enid R. | 1 |
Cheek, Helen | 1 |
Chiosi, Lou | 1 |
Cooney, Thomas J., Ed. | 1 |
Davis, Robert B. | 1 |
More ▼ |
Publication Type
Education Level
Audience
Practitioners | 44 |
Teachers | 44 |
Researchers | 3 |
Administrators | 1 |
Location
United Kingdom (England) | 1 |
Laws, Policies, & Programs
Assessments and Surveys
What Works Clearinghouse Rating

Nievergelt, Yves – American Mathematical Monthly, 1991
Described are ways that errors of magnitude can be unwittingly caused when using various supercalculator algorithms to solve linear systems of equations that are represented by nearly singular matrices. Precautionary measures for the unwary student are included. (JJK)
Descriptors: Algorithms, Calculators, College Mathematics, Higher Education

Schwartz, Lowell M. – Journal of Chemical Education, 1985
Shows that the rules of thumb for propagating significant figures through arithmetic calculations frequently yield misleading results. Also describes two procedures for performing this propagation more reliably than the rules of thumb. However, both require considerably more calculational effort than do the rules. (JN)
Descriptors: Algorithms, Chemistry, College Science, Computation

Kiernan, Gerard – College Mathematics Journal, 1985
Provides several algorithms that use extended precision methods to compute large factorials exactly. The programs are written in BASIC and PASCAL. The approach used for computing N considers how large N is, how the built-in limitation on exact integer representation can be bypassed, and how long it takes to compute N. (JN)
Descriptors: Algorithms, College Mathematics, Computation, Computer Software

Olson, Alton T. – Journal of Computers in Mathematics and Science Teaching, 1986
Presents an example of mathematics from an algorithmic point of view, with emphasis on the design and verification of this algorithm. The program involves finding roots for algebraic equations using the half-interval search algorithm. The program listing is included. (JN)
Descriptors: Algebra, Algorithms, Computer Software, Equations (Mathematics)

Maurer, Stephen B. – Mathematics Teacher, 1984
Two mathematical topics are interpreted from the viewpoints of traditional (performing algorithms) and contemporary (creating algorithms and thinking in terms of them for solving problems and developing theory) algorithmic mathematics. The two topics are Horner's method for evaluating polynomials and Gauss's method for solving systems of linear…
Descriptors: Algebra, Algorithms, Equations (Mathematics), High Schools

Beattie, Ian D. – Arithmetic Teacher, 1986
Discusses the use of manipulative materials to model operations and algorithms. Indicates that they clarify the several interpretations of each operation, establish a basis for correct mathematical language, and show why algorithms work. (JN)
Descriptors: Algorithms, Arithmetic, Elementary Education, Elementary School Mathematics

Vest, Floyd – School Science and Mathematics, 1985
Develops a division algorithm in terms of familiar manipulations of concrete objects and presents it with a series of questions for diagnosis of students' understanding of the algorithm in terms of the concrete model utilized. Also offers general guidelines for using concrete illustrations to explain algorithms and other mathematical principles.…
Descriptors: Algorithms, Elementary School Mathematics, Intermediate Grades, Mathematical Concepts
Cooney, Thomas J., Ed. – 1989
The Sixth International Congress on Mathematical Education (ICME-6) was special in that it provided a context commemorating the life and work of George Polya (1887-1985) whose native land was Hungary and to whom all those interested in the teaching of mathematical problem solving owe a great debt. What follows in this publication is a collection…
Descriptors: Algorithms, College Mathematics, Computer Uses in Education, Elementary Secondary Education

Donohoe, L. Joyce – AMATYC Review, 1992
Presents a public-key cryptosystem application to introduce students to several topics in discrete mathematics. A computer algorithms using recursive methods is presented to solve a problem in which one person wants to send a coded message to a second person while keeping the message secret from a third person. (MDH)
Descriptors: Algorithms, Coding, Computer Assisted Instruction, Mathematical Applications

Kouba, Vicky L.; Franklin, Kathy – Teaching Children Mathematics, 1995
Discusses mathematics education research on multiplication and division which implies that instruction should emphasize development of a sound conceptual basis for multiplication and division rather than memorization of tables and rules. Presents action research ideas. (10 references) (MKR)
Descriptors: Action Research, Algorithms, Arithmetic, Computation

Ball, Stanley – School Science and Mathematics, 1986
Presents a developmental taxonomy which promotes sequencing activities to enhance the potential of matching these activities with learner needs and readiness, suggesting that the order commonly found in the classroom needs to be inverted. The proposed taxonomy (story, skill, and algorithm) involves problem-solving emphasis in the classroom. (JN)
Descriptors: Algorithms, Classification, Cognitive Development, Elementary Education

Chiosi, Lou – School Science and Mathematics, 1986
Provides a short list of integral triples for the design of problems employing unit fractions (so solutions will be positive integers). Also presents an algorithm whereby both primary and imprimitive sets of triples can be easily obtained and shows how to extend the algorithm to solve three-variate unit fraction equations. (JN)
Descriptors: Algorithms, College Mathematics, Equations (Mathematics), Fractions

McLeay, Heather – Mathematics in School, 1991
Described is a way to use knots to relate a three-dimensional object to a two-dimensional representation of the object. The results are used to produce an algorithm or rule to explain a general case. Included are examples, diagrams, procedures, and explanations. (KR)
Descriptors: Algorithms, Instructional Materials, Learning Activities, Manipulative Materials

Mercer, Joseph – Mathematics Teacher, 1992
Raises and responds to questions about what and how to teach mathematics with the availability of calculators to all students. Discusses whether students need basic facts, mechanical skills, and knowledge of computational algorithms. Argues that students need to develop number sense and analytical skills using simple, symbolic, and graphing…
Descriptors: Algorithms, Basic Skills, Calculators, Elementary Secondary Education
Davis, Robert B. – 1983
The ideas and techniques involved in learning about fractions were investigated with students in grades 1-12, in the first 3 years of colleges, in community college mathematics courses, and in graduate school. Also included were some high school mathematics teachers, some mathematicians, and some retired persons. Part I provides the rationale and…
Descriptors: Algorithms, Cognitive Processes, Educational Research, Elementary Secondary Education