<html><head></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><font class="Apple-style-span" style="font-size: 17px; "><font class="Apple-style-span" face="Arial">There is a nice poster that describes this talk but the listserv doesn't allow me to use attachments. So here's the unpretty version. Please consider coming. Kyeong Hah is quite good. I hope to see you there.</font></font><div style="font-size: 17px; "><font class="Apple-style-span" face="Arial"><br></font></div><div style="font-size: 17px; "><font class="Apple-style-span" face="Arial">BK</font></div><div style="font-size: 17px; "><font class="Apple-style-span" face="Arial"><br></font></div><div style="font-size: 17px; "><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 27px/normal 'Times New Roman'; font-size: 32px; "><font class="Apple-style-span" face="Arial">A Design of </font><span class="Apple-style-span" style="font-family: Arial; ">Instructional Interventions </span><span class="Apple-style-span" style="font-family: Arial; ">to Promote Students’ </span><span class="Apple-style-span" style="font-family: Arial; ">Reflective Thinking in </span><span class="Apple-style-span" style="font-family: Arial; ">Avanced Calculus</span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 18px/normal 'Times New Roman'; font-size: 23px; "><font class="Apple-style-span" face="Arial">Presented by:</font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 36px/normal 'Times New Roman'; font-size: 41px; "><font class="Apple-style-span" face="Arial">Kyeong Hah Roh</font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 16px/normal 'Times New Roman'; font-size: 21px; "><font class="Apple-style-span" face="Arial">School Of Mathematical and Statistical Sciences,</font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 16px/normal 'Times New Roman'; font-size: 21px; "><font class="Apple-style-span" face="Arial">Arizona State University</font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 28px/normal 'Times New Roman'; font-size: 33px; "><font class="Apple-style-span" face="Arial">Monday, November 1, 2010</font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 28px/normal 'Times New Roman'; font-size: 33px; "><font class="Apple-style-span" face="Arial">4:10 pm, </font><span class="Apple-style-span" style="font-family: Arial; ">Morton Hall 318</span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal 'Times New Roman'; font-size: 17px; "><font class="Apple-style-span" face="Arial">Refreshments will be served in Morton Hall 325 at 3:30 pm</font></div></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal 'Times New Roman'; font-size: 17px; "><font class="Apple-style-span" face="Arial"><br></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal 'Times New Roman'; font-size: 17px; "><font class="Apple-style-span" face="Arial">Abstract:</font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal 'Times New Roman'; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; "><font class="Apple-style-span" face="Arial">The purpose of this research is to </font><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">explore the principles in designing an </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">instructional intervention to promote </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">students’ reflective thinking in advanced </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">calculus. We pay attention to </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">students’ reflective thinking of the </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">relationship between </font><span style="font: normal normal normal 9.5px/normal 'Times New Roman'; font-size: 15px; "><font class="Apple-style-span" face="Arial">ε </font></span><font class="Apple-style-span" face="Arial">and N of the </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">convergence of sequences. We suggest </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">the Mayan activity as an instructional </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">intervention and examine to </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">what extent it promotes students’ </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">reflective thinking. This research was </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">conducted as a design experiment in </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">advanced calculus classes. Initially, </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">most of students could not recognize </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">what kind of problem is caused by the </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">reversal of the order between the </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">variables </font><span style="font: normal normal normal 9.5px/normal 'Times New Roman'; font-size: 15px; "><font class="Apple-style-span" face="Arial">ε </font></span><font class="Apple-style-span" face="Arial">and N, and had a difficulty </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">in evaluating the given contexts due </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">to the deficiency of the perception.</font></div></b></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; "><font class="Apple-style-span" face="Arial">However, after the Mayan activity, </font><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">they could perceive the problem of </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">describing </font><span style="font: normal normal normal 9.5px/normal 'Times New Roman'; font-size: 15px; "><font class="Apple-style-span" face="Arial">ε </font></span><font class="Apple-style-span" face="Arial">dependently on N in the </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">given contexts and hence could understand </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">the meaning of the order </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">between them. In fact, the students </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">could raise properly the problem, </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">develop proper reasoning, and test </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">their hypothesis via comparing the </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">given contexts with the Mayan stonecutter</font></div></b></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; "><font class="Apple-style-span" face="Arial">story in the Mayan activity.</font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; "><font class="Apple-style-span" face="Arial">These results indicate that the Mayan </font><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">activity, as an instructional intervention, </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">plays a crucial role in promoting </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">the students’ reflective thinking of the </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">independence of </font><span style="font: normal normal normal 9.5px/normal 'Times New Roman'; font-size: 15px; "><font class="Apple-style-span" face="Arial">ε </font></span><font class="Apple-style-span" face="Arial">from N. In particular, </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">the Mayan stonecutter story provides </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">to the students an example to be </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">logically compatible with the given </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">contexts describing </font><span style="font: normal normal normal 9.5px/normal 'Times New Roman'; font-size: 15px; "><font class="Apple-style-span" face="Arial">ε </font></span><font class="Apple-style-span" face="Arial">dependently on </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">N, furthermore, to be tractable and </font></div></b></span><span class="Apple-style-span" style="font-size: 12px; "><b><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 9px/normal 'Times New Roman'; font-size: 14px; display: inline !important; "><font class="Apple-style-span" face="Arial">transferable.</font></div></b></span></div></b></div></body></html>