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Richmond, Bettina – College Mathematics Journal, 2010
It seems rather surprising that any given polynomial p(x) with nonnegative integer coefficients can be determined by just the two values p(1) and p(a), where a is any integer greater than p(1). This result has become known as the "perplexing polynomial puzzle." Here, we address the natural question of what might be required to determine a…
Descriptors: Numbers, Graphing Calculators, Thinking Skills, Problem Solving
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Ciesla, Barbara A.; Watson, John W. – Mathematics Teacher, 2006
This article investigates a specific instance when the textbook answer for finding a root of a complex number differed with the answer given by the TI-83. After explaining the reason for the difference the article then expands the definition of the integral root of a complex number to an arbitrary complex power of a complex number.
Descriptors: Algebra, Numbers, Mathematics Instruction, Secondary School Mathematics
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Veenstra, Tamara B.; Miller, Catherine M. – Mathematics Teacher, 2006
This article presents several activities (some involving graphing calculators) designed to guide students to discover several interesting properties of Fibonacci numbers. Then, we explore interesting connections between Fibonacci numbers and matrices; using this connection and induction we prove divisibility properties of Fibonacci numbers.
Descriptors: Numbers, Graphing Calculators, Mathematics Instruction, Class Activities
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Heid, M. Kathleen; Hollebrands, Karen F.; Iseri, Linda W. – Mathematics Teacher, 2002
Describes the successful use of a computer algebra system (CAS) with a student as he worked on a problem involving functions far more difficult than he had previously encountered. (Author/NB)
Descriptors: Algebra, Computation, Functions (Mathematics), Graphing Calculators
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…
Descriptors: Program Effectiveness, Foreign Countries, Symbols (Mathematics), Preservice Teacher Education
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction