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UNDERSTANDING MATHEMATICS
UNDERSTANDING MATHEMATICS
2008/10/28
The word “understanding” is widely used in discussion about learning and doing mathematics. It can mean many things. This paper will concentrate on a meaning which it will be claimed is central to t...
Scientific Understanding and Synthetic Design
organic chemistry application technology synthesis
2008/4/22
One of the indisputable signs of the progress made in organic chemistry over the last two hundred years is the increased ability of chemists to manipulate, control and design chemical reactions. The t...
Many of those actively involved in the physical sciences adopt a reductionist point of view, in which all aspects of the world are ultimately controlled by physical laws that are expressed in terms of...
The CPT theorem of quantum field theory states that any
relativistic (Lorentz-invariant) quantum field theory must also be invariant under CPT, the composition of charge conjugation, parity reversal ...
Understanding Deutsch's probability in a deterministic multiverse
Quantum mechanics Everett interpretation
2008/4/21
Difficulties over probability have often been considered fatal to the Everett interpretation of quantum mechanics. Here I argue that the Everettian can have everything she needs from `probability' wit...
A Contextual Approach to Scientific Understanding
Understanding explanation causation causality unification
2008/4/9
Achieving understanding of nature is one of the aims of science. In this paper we offer an analysis of the nature of scientific understanding that accords with actual scientific practice and accommod...
The Privilege of Pedagogical Capital: A Framework for Understanding Scholastic Success in Mathematics
Mathematics The Privilege of Pedagogical Capital
2008/4/7
The theme that runs through this work is three-fold. First, there is a quality that some students possess that enables them to arrive at the academic table better positioned to take advantage of our ...
‘Exalting Understanding without Depressing Imagination’Depicting Chemical Process
visualization of chemical process chemical manipulation
2008/4/3
Alchemists’ illustrations indicated through symbols the processes being attempted; but with Lavoisier’s Elements (1789), the place of imagination and symbolic language in chemistry was much reduced. H...
Nanotechnology and Nature On Two Criteria for Understanding Their Relationship
nanotechnology concept of nature laws of nature life artificial life
2008/4/3
Two criteria are proposed for characterizing the diverse and not yet perspicuous relations between nanotechnology and nature. They assume a concept of nature as that which is not made by human action....