caa a22 4500 445345519 CHVBK 20180317142827.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10758-011-9187-9 doi (NATIONALLICENCE)springer-10.1007/s10758-011-9187-9 Computing the Average Square: An Agent-Based Introduction to Aspects of Current Psychometric Practice [Elektronische Daten] [Walter Stroup, Thomas Hills, Guadalupe Carmona] This paper summarizes an approach to helping future educators to engage with key issues related to the application of measurement-related statistics to learning and teaching, especially in the contexts of science, mathematics, technology and engineering (STEM) education. The approach we outline has two major elements. First, students are asked to compute an "average square.” Second, students work with an agent-based simulation that helps them to understand how aspects of the central limit theorem might be integrated into a much larger conversation about the appropriateness, or validity, of current psychometric practices. We are particularly interested in how such practices and interpretive frameworks inform the construction of high-stakes tests. In nearly all current high-stakes test development, tests are thought of as being built-up from individual items, each of which has known statistical properties. The activity sequence outlined in this paper helps future educators to understand the implications of this practice, and the sometimes problematic assumptions it entails. This instructional sequence has been used extensively as part of a core course in a university-based certification program in the United States (UTeach) recognized for its innovative approaches to developing a new generation of secondary STEM educators. Springer Science+Business Media B.V., 2012 Statistics nationallicence Learning theory nationallicence Central limit theorem nationallicence Simulation nationallicence Conceptual change nationallicence Psychometrics nationallicence Item response theory nationallicence Stroup Walter Science and Math Education, The University of Texas at Austin, 1 University Station, D5705, 78712-0382, Austin, TX, USA aut Hills Thomas University of Basel, Basel, Switzerland aut Carmona Guadalupe Science and Math Education, The University of Texas at Austin, 1 University Station, D5705, 78712-0382, Austin, TX, USA aut Technology, Knowledge and Learning Springer Netherlands 16/3(2011-10-01), 199-220 2211-1662 16:3<199 2011 16 10758 https://doi.org/10.1007/s10758-011-9187-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10758-011-9187-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Stroup Walter Science and Math Education, The University of Texas at Austin, 1 University Station, D5705, 78712-0382, Austin, TX, USA aut NATIONALLICENCE 700 1- Hills Thomas University of Basel, Basel, Switzerland aut NATIONALLICENCE 700 1- Carmona Guadalupe Science and Math Education, The University of Texas at Austin, 1 University Station, D5705, 78712-0382, Austin, TX, USA aut NATIONALLICENCE 773 0- Technology, Knowledge and Learning Springer Netherlands 16/3(2011-10-01), 199-220 2211-1662 16:3<199 2011 16 10758 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer