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Kauffman, Louis H. – American Mathematical Monthly, 1988
A diagrammatic approach to invariants of knots is the focus. Connections with graph theory, physics, and other topics are included, along with an explanation of how proofs of some old conjectures about alternating knots emerge from this work. (MNS)
Descriptors: College Mathematics, Diagrams, Graphs, Higher Education
Peer reviewed Peer reviewed
Cohen, Donald – Mathematics and Computer Education, 1984
The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)
Descriptors: Algebra, College Mathematics, Graphs, Higher Education
Peer reviewed Peer reviewed
Demana, Franklin; Waits, Bert K. – College Mathematics Journal, 1988
Argues that while microcomputer and graphing calculators have evolved to a stage where they should be used routinely by mathematics students at all levels, there is sometimes potential to mislead students with computer generated graphs. Examples are included. (PK)
Descriptors: College Mathematics, Computation, Computer Assisted Instruction, Computer Graphics