This paper which began as an address published in volume 122 of the Springer Lecture Notes in Computer Science is an attempt to distinguish the thought processes involved in computer science from those in mathematics. The author assumes that computer science thinking involves the study of algorithms...
The intuitionists and Hilbert in a sense retain the first two functions, whereas the notion of “apriority” loses the central place it has in Kant’s thinking.Footnote 13 In Parsons’ thinking also the second one—the function to prevent us from running into antinomies—is downgraded, but ...
Pull requests a theorem prover for intuitionistic propositional logic in Idris, with metaprogramming features metaprogrammingidrismathematical-logicautomated-theorem-proverstheorem-prover UpdatedSep 12, 2018 Idris Star111 Keith Devlin's Introduction to Mathematical Thinking course on Coursera (2017 Spring) ...
Mathematical thinking: challenging prospective teachers to do more than 'talk the talk' 机译:数学思维:挑战准教师要做的事情不仅仅是“说话” Mark Prendergast,Patrick Johnson,Olivia Fitzmaurice,Miriam Listen,Lisa OKeeffe,Niamh OMeara, International Journal of Mathematical Education...
Informatics Education—Supporting Computational Thinking, no. 5090 in Lecture Notes in Computer Science, pp... CC Wu,IC Tseng,SL Huang - Springer Berlin Heidelberg 被引量: 19发表: 2008年 Interpreting psychological notions: A dual-process computational theory The distinction between implicit versus ...
Mathematics is defined as an abstract way of thinking. Abstraction ranks among the least accessible mental activities. In an educational context the encoun... Nardi,Elena - 《University of Oxford》 被引量: 48发表: 1996年 A computational-level explanation of the speed of goal inference We reflect...
Those concepts are the‚ National Council of Teachers of Mathematics principals and standards‚ Whole Numbers and their Operations‚ Algebraic Thinking‚ Rational Numbers as Fractions Premium Mathematics Problem solving Education 827 Words 4 Pages Better Essays Read More Mathematical Concepts ...
Our early interest in formalisations of arithmetic are motivated by thinking about the algebra and logic of computer arithmetics, and our studies of computer arithmetics as abstract data types that need axiomatic specifications; this we summarise later in Sect. 7.3. Data types in computing are str...
The extension above is defined by thinking of S3 as the closed unit ball with the boundary contracted to one point. Note that while the group of rotations SO(4) acts on the sphere group S3G, it does not act on Ω3G since the boundary of B3 is the contracted fixed point and the actio...
Algebra, computer algebra and mathematical thinking Mathematical symbolism generally鈥攁nd symbolic algebra in particular鈥攊s among math-ematics' most powerful intellectual and practical tools. Knowing mathematics well enough to use it effectively requires a degree of comfort and ease wi... P Zorn 被...