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Study of Historical Geometric Problems by Means of CAS and DGS
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Hašek, Roman; Zahradník, Jan – International Journal for Technology in Mathematics Education, 2015
The use of the dynamic mathematics software GeoGebra to solve geometric problems on conics and loci from an 18th century textbook will be presented. In particular, examples will be shown of how the use of this program helped the authors to understand the method that our predecessors used to deal with conic sections together with solving loci…
Descriptors: Mathematics Activities, Problem Solving, Courseware, Computer Uses in Education
Understanding Dynamic Behavior: Parent-Child Relations in Dynamic Geometry Environments
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Talmon, Varda; Yerushalmy, Michal – Educational Studies in Mathematics, 2004
The sequential organization of actions necessary to construct a figure in a dynamic geometry environment (DGE) introduces an explicit order of construction. Such sequential organization produces what is, in effect, a hierarchy of dependences, as elements of the construction depend on something created earlier. This hierarchy of dependences is one…
Descriptors: Geometry, Junior High School Students, Graduate Students, Mathematics Education
Fibonacci and Nature. Mathematics Investigations for Schools.
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Newton, Lynn D. – Mathematics in School, 1987
Sets forth the history of the Fibonacci Sequence and details its occurrence in nature and its potential for project work in schools. Ideas and activities include the rabbit problem, investigations of the sequence itself, its relationship to plants, music, snail shells, and the golden section. Computer generation of spirals is also discussed. (PK)
Descriptors: Class Activities, Computer Assisted Instruction, Courseware, Elementary School Mathematics
Calculating PI Using Historical Methods and Your Personal Computer.
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Mandell, Alan – Journal of Computers in Mathematics and Science Teaching, 1989
Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)
Descriptors: Computer Oriented Programs, Computer Software, Computer Uses in Education, Courseware
Computer Mathematics: An Introduction.
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction. – 1985
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, Arithmetic, Computer Assisted Instruction, Computer Graphics
Computer Mathematics: An Introduction. Part II.
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
Geometry in the Middle Grades. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 5-8.
Geddes, Dorothy – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" (the "Standards"), provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series…
Descriptors: Abstract Reasoning, Computer Assisted Instruction, Courseware, Discovery Learning