Scientific Reasoning Research Institute - Law of Large Numbers
http://www.srri.umass.edu/taxonomy/term/55/0
enKonold et al. (2011)
http://www.srri.umass.edu/node/503
<div class="pub-title">Conceptual challenges in coordinating theoretical and data-centered estimates of probability</div>
<div class="pub-authors">Konold, C.
<br />Madden, S.
<br />Pollatsek, A.
<br />Pfannkuck, M.
<br />Wild, C.
<br />Ziedins, I.
<br />Finzer, W.
<br />Horton, N. J.
<br />Kazak, S. </div>
<div class="pub-year">(2011)</div>
<div class="pub-citation"><p><i>Mathematical Thinking and Learning</i>, 13, 68-86.</p>
</div>
<div class="pub-abstract">
<p>A core component of informal statistical inference is the recognition that judgments based on sample data are inherently uncertain. This implies that instruction aimed at developing informal inference needs to foster basic probabilistic reasoning. In this article, we analyze and critique the now-common practice of introducing students to both “theoretical” and “experimental” probability, typically with the hope that students will come to see the latter as converging on the former as the number of observations grows. On the surface of it, this approach would seem to fit well with objectives in teaching informal inference. However, our in-depth analysis of one eighth-grader’s reasoning about experimental and theoretical probabilities points to various pitfalls in this approach. We offer tentative recommendations about how some of these issues might be addressed.</p>
</div>
<table id="attachments" class="sticky-enabled">
<thead><tr><th>Attachment</th><th>Size</th> </tr></thead>
<tbody>
<tr class="odd"><td><a href="http://www.srri.umass.edu/sites/srri/files/Konold et al. (2011).pdf">Konold et al. (2011).pdf</a></td><td>384.94 KB</td> </tr>
</tbody>
</table>
http://www.srri.umass.edu/node/503#commentsExperimental probabilityinformal inferential reasoninginformal statistical inferenceLaw of Large Numbersprobability instructionprobability simulationtheoretical probabilitytrue probabilitySat, 07 May 2011 02:43:33 +0000konold503 at http://www.srri.umass.edu