Computer algebra systems as mathematical optimizing compilers
نویسندگان
چکیده
منابع مشابه
Using computer algebra systems in mathematical classrooms
This paper describes a research whose main focus is the use of Computer Algebra Systems (CAS) in mathematical classrooms and the didactical possibilities linked with its use. The possibilities of integrating Self-Regulated Learning (SRL) within the CAS environment are brought into focus. Forty-three Israeli students (mean age 13.3) were assigned to two learning algebraic groups. The first group...
متن کاملALGEBRA , COMPUTER ALGEBRA , AND MATHEMATICAL THINKING Paul
Mathematical symbolism generally—and symbolic algebra in particular—is among mathematics’ most powerful intellectual and practical tools. Knowing mathematics well enough to use it effectively requires a degree of comfort and ease with basic symbolics. Helping students acquire symbolic fluency and intuition has traditionally been an important, and sometimes daunting, goal of mathematics educatio...
متن کاملAlgebra , Computer Algebra , and Mathematical Thinking
Mathematical symbolism in general—and symbolic algebra in particular—is among mathematics’ most powerful intellectual and practical tools. Knowing mathematics well enough to use it effectively requires a degree of comfort and ease with basic symbolics. Helping students acquire symbolic fluency and intuition has traditionally been an important, but often daunting, goal of mathematics education. ...
متن کاملGEM Optimizing Compilers for Alpha AXP Systems
Digital’s GEM compiler technology is used to generate state-of-the-art compilers for a voriety of ianguages and hardware/software platforms. The Alpha A X P ( tm) architecture provides a number of opportunaties and challenges for compiler writers. This paper describes techniques used to optimize pipelining, multiple instruction issue, and memory references.
متن کاملComputer Algebra Systems as Cognitive Tools
When computer algebra systems(CAS) were introduced, it was expected that it will develop to use effectively as a ”tool” for mathematics education. In the 2000s, with the evolution of both software and hardware, it has become easy to use CAS in the classroom. However, the proportion of teachers who do so is still quite low. We have to consider their effective use. Humans use strategies to plan s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Science of Computer Programming
سال: 2006
ISSN: 0167-6423
DOI: 10.1016/j.scico.2005.06.003