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Teaching the Square Root Algorithm by the Discovery Approach
Peer reviewed Peer reviewed
Tarte, Edward C. – Mathematics Teacher, 1974
Descriptors: Algorithms, Diagrams, Discovery Learning, Instruction
A New Multiplication Algorithm: On the Complexity of Simplicity
Peer reviewed Peer reviewed
Brown, Stephen I. – Arithmetic Teacher, 1975
A multiplication algorithm based on a perfect square is described. (SD)
Descriptors: Algorithms, Basic Skills, Curriculum, Discovery Learning
Some Monadic/Diadic Combos. Project Paper 77-6.
Weaver, J. F. – 1977
The calculator is used to explore the distributive property of a unary operator over a binary operator. This is an extension of an earlier paper. The emphasis is on student discovery of the property for various combinations of the operators. Instructional material contained in the report include a reference sheet of questions for potential…
Descriptors: Algorithms, Calculators, Computation, Discovery Learning
Further Work on Verbalization of Discoveries
Peer reviewed Peer reviewed
Sowder, Larry – Journal for Research in Mathematics Education, 1975
Two studies investigated the effects of verbalization of discovered generalizations on the retention of those principles. (SD)
Descriptors: Algorithms, Discovery Learning, Generalization, Higher Education
Calculators and Unary Operations: A Position Paper with Instructional Suggestions. Project Paper 77-7.
Weaver, J. F. – 1977
Investigating properties and characteristics of unary operations is shown to be facilitated by using calculators. Several avenues for instructional exploration are suggested and examples given. These include questions relating to relations, inverses, commutativity, distributivity, and iterations. A discussion of the calculator algorithm for…
Descriptors: Algorithms, Calculators, Computation, Discovery Learning
Sometimes Material Leads to Discovery
Peer reviewed Peer reviewed
Morgenstern, Frances B.; Pincus, Morris – Arithmetic Teacher, 1977
This article discusses the use of concrete materials as conceptual models which serve as references for later learning of algorithms. (DT)
Descriptors: Algorithms, Discovery Learning, Elementary School Mathematics, Elementary Secondary Education
A Discovery Approach to the Cube Root Algorithm
Peer reviewed Peer reviewed
Bolduc, Elroy J., Jr. – Mathematics Teacher, 1976
The algorithms for finding cube roots is approached by slicing a cube. (SD)
Descriptors: Algorithms, Discovery Learning, Geometric Concepts, Instruction
A Monadic Module Alias a Unary Unit. Project Paper 77-5.
Weaver, J. F. – 1977
The calculator is used to investigate properties and characteristics of certain unary operations. These include how a number is related to the number resulting from a unary operation and the result of two unary operations. A discussion of the calculator algorithm to accomplish a series of unary operations is given. Record sheets to summarize…
Descriptors: Algorithms, Calculators, Computation, Discovery Learning