This process conception of randomness is perfectly legitimate, if somewhat redundant.
Table 2 shows the kinds of student work that represents an action conception, a process conception, an object conception and a well-functioning schema in derivatives of trigonometric functions.
I adapted Maharaj (2013) to develop a table of examples of what student work represents, namely, an action conception, a process conception, an object conception and a well-functioning schema.
Secondly, a process conception of randomness makes nonsense of some obvious uses of 'random' to characterise an entire collection of outcomes of a given repeated process.
Every success in this direction brings this broadly product conception of chance closer to a process conception, and will therefore be a potential opportunity for counterexamples to RCT to emerge.
Other students who have a complete process conception of 0.999... may not yet be able to "encapsulate" that process into an "object conception", like the object conception they have of 1, and so they view the process 0.999... and the object 1 as incompatible.
As part of Ed Dubinsky's APOS theory of mathematical learning, he and his collaborators (2005) propose that students who conceive of 0.999... as a finite, indeterminate string with an infinitely small distance from 1 have "not yet constructed a complete process conception of the infinite decimal".
He said the exhibition would illuminate the design process "from conception to schematic design, how Herzog and de Meuron got to where they are in terms of thinking through this whole project".
JN: the main author, was involved in the whole process from conception and design, acquisition of the data analysis and interpretation of the data.
JKI: made substantial inputs during the research process from conception and design, data collection, analysis and interpretation and the manuscript writing.
