Wiki source code of Learning Arithmetic in the 21st Century

Last modified by Eric Holton on 2010/09/06 22:44

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 1: 1 Assignment 2
 2: 
 3: 1.1 Due
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 5: * {style:type=span|color=#ff0000}Tuesday, 9/7 12pm{style} as a group! on the class website
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 7: 1.1 To-Do - Preparation
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 9: Please work as a group (minimum: 2 members; max: 6 members — discuss the answers between your group members) and submit one answer as a group (clearly identifying the members of your group) 
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11: 
12: You are hired as technology and education experts by the Boulder Valley School Board to help to *reach a decision between the following 4 alternative positions* how to learn and practice arithmetic in the 21st century when hand-held calculators are available to all students: 
13: 1. ignore the existence of the gadget; the educational goals are important mathematical skills not an interest in technology
14: 1*. recommendation: *do not use* hand-held calculators in schools 
15: 1. keep the curriculum the same, make students learn arithmetic, multiplication tables, long division, drawing square root by hands, etc; 
16: 1*. recommendation:  *after* students have mastered arithmetic skills, allow the use of hand-held calculators. 
17: 1. invent/ create new calculators, new curricula, new scaffolding mechanisms that make learning these skills more fun and create a deeper understanding of the underlying concepts
18: 1*. recommendation: by using these new hand-held calculators, the students would acquire the skills and the knowledge and eventually *become independent* of the gadget 
19: 1. find new ways to distribute responsibilities between humans and computers such that  (a) humans do the qualitative reasoning, use estimation skills, relate the mathematical result to the real world and (b) machines do the detailed quantitative computations 
20: 1*. recommendation: create and support new divisions of cognitive contributions 
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22: 
23: 1.1 To-Do
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25: Develop *principled arguments* (backed up by: research, empirical findings, your personal experience, hypotheses about resulting cognitive developments, and the topics discussed in class) which of the four positions YOU will favor!
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27: #set( $class = $doc.name.substring(0,$doc.name.indexOf("Class")))
28: #set($defaultparent = "HCCF2010.${class}Class")
29: #set($defaultweb = "HCCF2010")
30: #includeForm("XWiki.ClassSheetAssignments")

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Wiki source code of Learning Arithmetic in the 21st Century

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