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Hawthorne, Casey; Rasmussen, Chris – International Journal of Mathematical Education in Science and Technology, 2015
While a significant amount of research has been devoted to exploring why university students struggle applying logic, limited work can be found on how students actually make sense of the notational and structural components used in association with logic. We adapt the theoretical framework of unitizing and reification, which have been effectively…
Descriptors: College Students, Logical Thinking, Mathematical Logic, Abstract Reasoning
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Craig, Tracy S. – International Journal of Mathematical Education in Science and Technology, 2011
The aim of this article is to present a scheme for coding and categorizing students' written explanations of mathematical problem-solving activities. The scheme was used successfully within a study project carried out to determine whether student problem-solving behaviour could be positively affected by writing explanatory strategies to…
Descriptors: Student Problems, Problem Solving, Classification, Foreign Countries
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McAndrew, Alasdair – International Journal of Mathematical Education in Science and Technology, 2008
The Hill cipher is the simplest example of a "block cipher," which takes a block of plaintext as input, and returns a block of ciphertext as output. Although it is insecure by modern standards, its simplicity means that it is well suited for the teaching of such concepts as encryption modes, and properties of cryptographic hash functions. Although…
Descriptors: Orthographic Symbols, Computation, Coding, Technology