> IKH'` L6bjbj$$ .8FFvvvvvvv^ 2$!h#8Evvv vvr8vvA|oV. 0^ V0$rv0$AA0$vUXDL^ N
DN
vvvvvvGeoGebra Institute of California report
For the virtual meeting on September 20, 2010
Founding leadership:
Agnes Tuska (director)
Armando Martinez-Cruz
Bill Lombard
Oscar Vega
Rajee Amarasinghe
Work done in the past:
Presentations on conferences for teachers:
Tuska, Agnes: The surface area of the sphere How can high school students learn from the best problem solvers? History of Mathematics and Teaching of Mathematics International Conference. Proceedings is published on CD by the Institute of Mathematics of the University of Miskolc, Miskolc, 2010. ISBN 978-963-661-929-9 (used GeoGebra for illustrations)
Tuska, Agnes: The Power of Visualization in Mathematical Reasoning. California Mathematics Council, Southern Session Annual Conference, Palm Springs, November, 2009.
Tuska, Agnes: GeoGebra: A Powerful Free Dynamic Software for All. California Mathematics Council, Nothern Session Annual Conference, Asilomar, December, 2007 and Southern Session Annual Conference, Palm Springs, November, 2008.
Rajee was invited speaker at Algebraic Thinking Symposium California Mathematics Council, Central Section, Annual Conference, March 2010, Asilomar, California. Topic: Teaching and learning with GeoGebra.
Rajee was guest speaker at Mathematics and Computer Science Speaker Series, California State University, Stanislaus, December 2009, Stanislaus, California. Topic: Using GeoGebra in mathematics classrooms.
Rajee presented a paper at Society for Information Technology & Teacher Education (SITE) International Conference, March 2010, San Diego, California. Topic: Reasons Behind the Positive Effects of Using Dynamic Computer Software in High School Mathematics Classrooms. (see powerpoint attached).
Conference/workshop attendance:Bill attended the First North American GG conference in Ithaca.
Oscar and Agnes attended the Change that Counts conference in San Jose, CA, where Markus was honored for developing and spreading GeoGebra.
Markus gave two workshops in Fresno. The workshops were organized by the San Joaquin Valley Mathematics Project. Oscar, Bill, Rajee and Agnes attended at least one of them.
Agnes attended Selchuks GeoGebra presentation in the NCTM conference in April, 2010, and exchanged ideas about future collaboration with him.
Agnes have discussed GG efforts in Hungary with Peter Kortesi during the History of Mathematics and Teaching of Mathematics International Conference in Hungary, May 2010.
We incorporated GG into many professional development institutes for K-12 teachers at Fresno State (see attached programs of a sample institute and Technology Day).
We use GG in some math courses at Fresno State.
Rajee uses it for years in Math 134: Geometry for Liberal Studies for demonstrations, illustrations, conjectures, proofs, constructions. He has also used GG in methods classes and in courses for prospective middle school teachers.
Oscar uses GG in MATH 260: (graduate level) Perspectives in Geometry, and in the California Subject Examinations for Teachers preparation workshops for the geometry subtest. He uses it mostly to create figures, and to use the geometric environment of GG, not so much the algebra part of it. His best work on this is to create a model for the Poincare disk, an example of a hyperbolic geometry,that measures the angle sum of triangles, showing that this sum depends on the area of the triangle.
We advised Master's projects in GG.
MA in Mathematics, Teaching Option students of Agnes:
Alina Melkonian Balabanian: On the Teaching of Geometry: The Role of GeoGebra (Spring, 2010)
Chue Fue Mouanoutoua: Teacher Perspectives on Effective Use of Computer-Based Technology in High School Mathematics (Spring, 2010)
Nathan Stephen Allen: The Effects of Mathematics Instructional Technology (GeoGebra) in Classroom Instruction (Spring, 2008)
Plans for the future:
Rajee and Oscar plan using GG for all figures in the book that they, and Kirhi Premadasa are writing (Advanced Algebra for teachers).Oscar is one of the liaisons with GG people in South America. One of the main contacts is Esteban Diaz (at UConn, until very recently) but now him moving to Cambridge has forced him to delegate some of his activities to Oscar.
Plans for the near future:- Learn more GG, and use it more in our classes. Oscar wants to create "worksheets" for symmetries of polygons, and for visualizations of Pick's theorem (right now he is using geoboards for this). He has thought of assigning projects in the Math 260 class using GG, and works on incorporating GG into other math major courses.
- Oscar will write an article for the math teacher magazine, published in Chile, as an introduction on the ways teachers can use this program in their classes.
November 20, 2010 will be a technology day, organized by the San Joaquin Valley Math Project (SJVMP) in Fresno (see the program of the November 21, 2009 Technology Days program attached (Markus was in the program). Agnes would like to have GeoGebra programs (in addition to others) whole day, including the hosting of a virtual GG meeting with English speaking invited guests. Her main goal is to recruit a group of interested individuals to do work for getting a GeoGebra trainer certificate. These individuals could learn from us and from each other, develop and perfect future presentations, instructional innovations,and workshop materials. The best ideas will be presented on the spring technology day of SJVMP, and during a summer regional GeoGebra conference (put up by us. Any suggestions for location?)
Armando and Agnes are scheduled to present on GeoGebra in Palm Springs, CA in November, 2010.Baljit Gill (prospective certified trainer) will give a workshop to about 30 middle school teachers in the Bay area in late October/early November.What we would like to happen soon:To have at least 5 certified trainers developed by summer, 2011To conduct at least one workshop in Northern CaliforniaTo have someone maintaining a nice website for our InstituteTo organize a 3-day regional GeoGebra conference for the summer of 2011 (with invited speakers, local presenters, workshops by grade levels, etc. maybe in conjunction with the SJVMP summer teacher leadership institute).To participate in software development.To widen the instructional use of the software by developing and posting dynamic worksheets (two categories: one list suggested by us, other list for anybody who want(Wl z I
k
l
y
RH
VXd%/㛓zhihi>*
h
0Jh
6]h
h
CJaJh
OJQJh^h~6hmh~hh~ h~6h~h~hihhi6 hi6 hmc6hhmc6h~hIhmchmc>*hmchmchmc50(VWl l
Vgd
$
&F
881$^8a$gd~$
&F
88*$1$^8a$gd~$
&F
8dd[$\$^8a$gdmcL6;tUo^/01$gdWF
&F1$gdl
&F
8*$1$gdl$
dd[$\$a$gd
"/;Tt-?RTVnoy)FM]/01Fot ?v]ͽ͵ hI>*hIhWF>*hIhI5hlhhWFhv:h
h~hihmc>*hEhIhhihihmchmcE]c~ v / H#45<56
6K6L6h
hsqUhtho>*htht>*hM0hthE
hI0J
ho0JhohWFhI+L61$gdI1$gdWFs to post something).We also need to get some funds (most likely grant money) to support our activities. We could set up an account as part of the international GG Institute Inc. (non-profit organization). Meanwhile, we could try to do stuff in collaboration with SJVMP, using a fee for service model.One thing we had no energy for yet, but might be very worthy effort: Markus have developed excellent leads to other non-profit and for-profit organizations (particularly digital textbook publishers) we could work withand get funds for the non-profit and for-profit sides of GG INC.
,1h/ =!"#$%@@@NormalCJ_HaJmH sH tH DA@DDefault Paragraph FontRi@RTable Normal4
l4a(k@(No List$O$oobjectJoJ
msolistparagraphdd[$\$^o^
msolistparagraphcxspmiddledd[$\$8(VWl l1j K
}
eT
y
%&00000000000000 0 0 000000000000000000 0 0 0000000000 l K
T
&0000
000000 0 ߢ00000000 DM0000000000N000000]L6L6L6)n|n,n0 n
nnLnd#
nk#nDu#n7#n6#nD6#n5#n,q#n܂#n$h#n\"nnnnon\m#nq#nfn#n nDO!ng"n#nԿ$nܖ%nG&nd6'n"(n")nl"*nT"+n",nD-nw#.nv#
$$TT''2))ooy
KKBB
!"#$%'&( "++^^0<<//w{{#
TTGG
!"#$%'&(B*urn:schemas-microsoft-com:office:smarttagscountry-region9(*urn:schemas-microsoft-com:office:smarttagsState9)*urn:schemas-microsoft-com:office:smarttagsplace8#*urn:schemas-microsoft-com:office:smarttagsCity=&*urn:schemas-microsoft-com:office:smarttags PlaceName='*urn:schemas-microsoft-com:office:smarttags PlaceTypeG)('&'&#))()()#()#(#)#)()#))&')#)))#)#(rw PXlq (t{|;@y/ 6 }
!',puv_hjr'-*4NT
fk=@plq3333333333333333lny #
,
5
5
dHH>`"L@B~_3gp*OJQJh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@@^@`OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hH8^`OJQJo(8^`OJQJ^Jo(hHo8^`OJQJo(hH8||^|`OJQJo(hH8LL^L`OJQJ^Jo(hHo8^`OJQJo(hH8^`OJQJo(hH8^`OJQJ^Jo(hHo8^`OJQJo(hH3gpzGL@BzG @h8^8`OJQJo(WW8Num5 T{
M0v:WFsqtl~EoiImcF>@?.@>@@@@@ @@h@UnknownGz Times New Roman5Symbol3&z Arial?5 z Courier New;Wingdings"qh{f`
Fn1n1!24||2qHX)?o21CSMCSMOh+'0d
,
8DLT\1CSMNormal.dotCSM10Microsoft Office Word@$e @t(U@`OoVn՜.+,0hp|
CSM1|'1Title
!"#$&'()*+,-./012345679:;<=>?ABCDEFGJRoot Entry F@ɖoVLData
1Table%L$WordDocument.8SummaryInformation(8DocumentSummaryInformation8@CompObjq
FMicrosoft Office Word Document
MSWordDocWord.Document.89q