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Peer reviewedKessler, Bernard M. – Arithmetic Teacher, 1971
Descriptors: Algorithms, Discovery Learning, Induction, Learning
Peer reviewedSowder, 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
Peer reviewedMorgenstern, 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
Peer reviewedBolduc, 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
Jones, Chris – Mathematics Teaching, 1981
An example of a lesson involving calculators that focused on calculator use is given. An examination of the traditional algorithm by the students led to student-directed investigations. (MP)
Descriptors: Algorithms, Calculators, Discovery Learning, Elementary Secondary Education
Peer reviewedHawkin, Wendy – Mathematics in School, 1988
Describes activities in a mathematics class for six-year-olds. The article makes several points, including: working independently is very absorbing; investigative work is as important as algorithms; and children working in groups can achieve more than even the brightest child working alone. (PK)
Descriptors: Algorithms, Discovery Learning, Elementary Education, Elementary School Mathematics
Peer reviewedSchliemann, Analucia Dias; And Others – Journal of Mathematical Behavior, 1993
A 14-year-old Brazilian boy in the fourth grade was given 170 problems orally, each asking for the sum of 2 2-digit numbers. Responses indicated he had invented his own algorithm for addition, similar to the school one, based largely on his experiences with money. (Contains 13 references.) (JAF)
Descriptors: Addition, Algorithms, Case Studies, Computation
Peer reviewedCarroll, William M.; Porter, Denise – Teaching Children Mathematics, 1997
Describes teaching strategies in which children are encouraged to develop computational procedures that are meaningful to them. Authors state that classroom observation reveals most primary students to be capable of developing their own accurate solution procedures for multi-digit addition and subtraction as well as for simple multiplication and…
Descriptors: Algorithms, Associative Learning, Computation, Cooperative Learning
Peer reviewedGuckin, Alice Mae; Morrison, Dwight – School Science and Mathematics, 1991
Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)
Descriptors: Algebra, Algorithms, Arithmetic, College Mathematics
Peer reviewedFilimonov, Rossen; Kreith, Kurt – Journal of Computers in Mathematics and Science Teaching, 1992
Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…
Descriptors: Abstract Reasoning, Algorithms, Computer Assisted Instruction, Computer Software Development
