Educational Research - the Ethics and Aesthetics of Statistics
Educational Research - the Ethics and Aesthetics of Statistics
Educational Research - the Ethics and Aesthetics of Statistics
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9 The Persuasive Power <strong>of</strong> Figures <strong>and</strong> <strong>the</strong> Aes<strong>the</strong>tics <strong>of</strong> <strong>the</strong> Dirty Backyards 131<br />
Do you know it, Eve?<br />
Do you already know it?<br />
One can also read you from <strong>the</strong> back<br />
And you, you most glorious <strong>of</strong> all,<br />
You are from <strong>the</strong> back as from <strong>the</strong> front,<br />
E-V-E.<br />
Easy victory.<br />
Tallow trickles to stroke over my back<br />
Eve Blossom,<br />
Thou drippy animal,<br />
I<br />
Love<br />
Thine!<br />
I love you!!!!<br />
When we look at a scholarly presentation <strong>of</strong> educational research results, <strong>the</strong> new<br />
combination <strong>of</strong> data in educational research can produce new meanings that derive<br />
from <strong>the</strong>oretical considerations. Even new, surprising <strong>and</strong> sometimes magic knowledge<br />
emerges from this combination <strong>of</strong> data, <strong>the</strong>ories <strong>and</strong> <strong>the</strong> ordinary (research)<br />
life as a practice <strong>of</strong> its own right. Hence, in this sense it may be possible to compare<br />
structures <strong>of</strong> poems with structures <strong>of</strong> oral presentations <strong>of</strong> empirical studies<br />
seeing <strong>the</strong>m as different forms <strong>of</strong> aes<strong>the</strong>tics delivering different meanings in respect<br />
to different contexts. Both <strong>the</strong> poet <strong>and</strong> <strong>the</strong> author <strong>of</strong> research presentations try to<br />
make sure that <strong>the</strong> scholarly audience has a clear underst<strong>and</strong>ing <strong>of</strong> <strong>the</strong>ir meanings.<br />
However, <strong>the</strong>y use everyday language in different ways. Statistical underst<strong>and</strong>ing<br />
is both a linguistic <strong>and</strong> a conceptual matter (see Vergnaud, 1998, explanations for<br />
ma<strong>the</strong>matics). Therefore, we have to accept, that even oral presentations <strong>of</strong> empirical<br />
social studies serve two points <strong>of</strong> reference: in order to underst<strong>and</strong> statistics, one<br />
not only has to be able to identify relationships between statistical or ma<strong>the</strong>matical<br />
symbols, but also to identify <strong>the</strong>se symbols’ relationships to natural everyday<br />
language (see Stadler, 2004). Finally, one has to connect this relationship to <strong>the</strong><br />
relationships between <strong>the</strong> empirical study <strong>and</strong> questions <strong>of</strong> ‘real life’.<br />
The symbolic language <strong>of</strong> ma<strong>the</strong>matical <strong>and</strong> statistical concepts is based on a<br />
formal definition that is independent from spoken language. Since <strong>the</strong>se ma<strong>the</strong>matical<br />
<strong>and</strong> statistical languages are difficult to teach <strong>and</strong> to underst<strong>and</strong> within <strong>the</strong>ir<br />
symbolic format, spoken language is used to informally define statistical concepts.<br />
Within <strong>the</strong>se informal definitions, statistical symbols are replaced by proper words<br />
from <strong>the</strong> spoken language. Following this model, statistics has become independent<br />
from language, yet its informal definitions are also an integral part <strong>of</strong> this language.<br />
For example, underst<strong>and</strong>ing <strong>of</strong> statistics is based on <strong>the</strong> distinction between samples<br />
<strong>and</strong> populations. On <strong>the</strong> one h<strong>and</strong>, some statistical concepts clearly refer to<br />
population quantities (such as expected value). On <strong>the</strong> o<strong>the</strong>r h<strong>and</strong>, however, some<br />
<strong>of</strong> <strong>the</strong>se concepts (such as st<strong>and</strong>ard deviation) need a specified reference (population<br />
or sample) to distinguish <strong>the</strong> precise statistical definition from <strong>the</strong> ambiguous<br />
everyday language use <strong>of</strong> such concepts. As an example <strong>the</strong> following table presents<br />
some symbols used in statistics <strong>and</strong> in poems (which also could be transformed in<br />
everyday language).