View
2
Download
0
Embed Size (px)
Citation preview
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 1/36
EL USO DE LAS TIC Y MICEA PARA MEJORAR EL PROCESO DE
RESOLUCIÓN DE PROBLEMAS EN EL ÁREA DE LAS MATEMÁTICAS
DE LOS Y LAS ESTUDIANTES DEL GRADO 5 JT EN EL COLEGIO
AULAS COLOMBIANAS SAN LUIS DE LA CIUDAD DE BOGOTÁ
ANDRÉS SAMIR BEJARANO CÓRDOBA
LENER SUSANA SANTANA LEMUS
ENNA PILAR ORDOÑEZ GÓMEZ
UNIVERSIDAD COOPERATIVA DE COLOMBIA
FACULTAD DE CIENCIA DE LA EDUCACIÓN
MAESTRÍA EN EDUCACIÓN
BOGOTÁ DC
2015
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 2/36
TITULO
E !"# $% &" TIC ' MICEA (&)& *%+#)&) % ()#,%"# $% )%"#!,-./ $%
()#%*&" %/ % )%& $% &" *&%*-,&" $% #" ' &" %"!$-&/%" $% 3)&$#
5 +4 %/ % C#%3-# A!&" C##*-&/&" S&/ L!-" $% & ,-!$&$ $% B#3#
DESCRIPCION DEL PROBLEMA
E/ & *&'#)& $% #" ' &" %"!$-&/%" $% 3)&$# 5 JT $% ,#%3-# A!&"
C##*-&/&" S&/ L!-"6 "% #"%)7& 3)&/ $%"-/%)8" (#) % $%"&))## $%
&,-7-$&$%" *&%*-,&"6 3%/%)&/$# &+# )%/$-*-%/# &,&$8*-,# %/ #"
$-9%)%/%" ()#,%"#" :!% "% )%&-;&/ %/ %"& )%&4 L# ,!& "% (!%$%
,#/"&&) ,#/ #" )%"!&$#" #%/-$#" %/ &" ()!%&" "&%) $% :!-/#
3)&$# %/ % )%& % *&%*-,&" $#/$% & *&'#)& $% #" ' &" %"!$-&/%"
#-%/%/ )%"!&$#" -/9%)-#)%" ' %/ #" $#" <-*#" &=#" "## % 1> $% #&
$% %"!$-&/%" "% %/,!%/)& %/ /-7% "!(%)-#)4
C#*# "% (!%$% %7-$%/,-&) %/ % "-3!-%/% ,!&$)# ,#*(&)&-7# $%",&)3&$#
$-)%,&*%/% $% & (3-/& $% -/"-!# ,##*-&/# (&)& % 9#*%/# $% &
%$!,&,-./ "!(%)-#) ?-,9%"@4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 3/36
L#" %"!$-&/%" -%/%/ *!,& $-9-,!&$ (&)& ,#*()%/$%) #" &3#)-*#"
*&%*-,#" $% *&/%)& 9#)*&6 (#) # &/# % (-%)$%/ % &)&,-7# & &
&"-3/&!)& ' %"/ ()%$-"(!%"#" /%3&-7&*%/% &,-& & &"-3/&!)& ' %"*!,# (%#) & "-!&,-./ ,!&/$# "% %" &"-3/& !/ ()#%*& (&)& "#!,-#/&)6
/# "#/ ,&(&,%" $% ,#*()%/$%) % ()#%*&6 ,#/%7&/$# & &
-*(#"---$&$ $% ,#/")!-) !/ (&/ (&)& & )%"#!,-./ $% ()#%*& ' (#)
%/$% & & %+%,!,-./ $% *-"*#4 E/ #" <-*#" &=#" & "!)3-$# !/& 3)&/
,#))-%/% :!% &9-)*& :!% &,-%/$# !"# $% &" /!%7&" %,/##3&" "% (!%$%
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 4/36
9&,--&) % ()#,%"# $% &()#(-&,-./ $% #" ,#/#,-*-%/#" *&%*-,#" %/ %
&!& %",#&) '& :!% %"& (#) "- *-"*&" "#/ *!' &)&,-7&" (&)& #" ' &"
%"!$-&/%"6 *-*% &!/ ,!&/$# &' %"!$-#" :!% )%&9-)*&/ %"& (#"!)&
,#*# "#/ #" $%
1
?G&,),-& V&,&),% M!=#; R%(-"#6 B&"-#& G#*%; P&#"6 L#(%; G&),-& 6 201@ $#/ "% %&& % !"# &$%,!&$# $% &" -, %/ % &!&4
L& -/"-!,-./ ,!%/& ,#/ 7&)-&" %))&*-%/&" %,/#.3-,&" :!% /# "#/
-/,!-$&" %/ % $%"&))## $% &" ,&"%" (%)#6 #" ' &" $#,%/%" %&#)&/
"!" %")&%3-&" $% %/"%=&/;& $%+&/$# $% &$# &" /!%7&" %,/##3&"6
:!% "!%%/ "%) *" &)&,-7&" (&)& #" /-=#"6 (%)$-%/$# %"% (!" %)& %/
*#-7&,-./ :!% "-3/-9-,&)& % !"# $% $-,&" %))&*-%/& %/ % $%"&))## $%
&" &,-7-$&$%" &,&$8*-,&" %/ % )%& $% *&%*-,&"4
L&" %")&%3-&" %*(%&$&" (#) #" $#,%/%" /# -/,%/-7&/ & (&)-,-(&,-./
$% #" ' &" %"!$-&/%" %/ % $%"&))## &,-7# $% &" ,&"%"6 /# "%
%7-$%/,-& %/ & *&'#)& $% #" *#*%/#" & <":!%$& $% &!# &()%/$-;&+%
(#) (&)% $% %"#" *-"*#"6 % )&&+# %/ %:!-(# %" */-*# # :!% /# 9&,--&
% &()%/$-;&+% %/)% #" *-"*# %"!$-&/%"6 /# &' :!% #7-$&) :!% %
&()%/$-;&+% %/)% &*-3#" %" *" 9!%)% :!% # :!% "% &()%/$%6 (#) %",!,&4
PREGUNTA
C.*# *%+#)&) & &()#(-&,-./ %/ & )%"#!,-./ $% ()#%*&" *&%*-,#" &
)&78" $% &" TIC ' MICEA %/ #" ' &" %"!$-&/%" $% 3)&$# 5 JT $% & IED
A!&" C##*-&/&" S&/ L!-" B#3# D4C4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 5/36
HIPÓTESIS
S- &(-,&*#" & %")&%3-& MICEA ' &" TIC6 %" ()#&% :!% #" ' &"
%"!$-&/%" %/,!%/)%/ &" *&%*-,&" *" &)&,-7&"6 "% &()#(-%/ $% "!
()#,%"# $% &()%/$-;&+% ' %*(-%,%/ & -$%)&) % $%"&))## $% &,-7-$&$%" %/
&" ,&"%" $% %"& )%& ()#3)%"&/$# %/ & $% )%"#!,-./ $% ()#%*&"
$% &" *&%*-,&" ' %/ ,#/"%,!%/,-& "% %%7&)& % )%/$-*-%/#
&,&$8*-,# $% #" ' &" %"!$-&/%" $% 3)&$# :!-/# $% & I/"-!,-./
E$!,&-7& D-")-& A!&" C##*-&/&" S&/ L!-"4
ESTADO DEL ARTE
R%&-;&/$# !/ )&")%# -".)-,# $% &" -/7%"-3&,-#/%" )%&-;&$&" %/ %"&
%*-,& "% (!%$%/ %/,#/)&) !/#" )&&+#" *!' -/%)%"&/%" ' :!% %
&(#)&/ *!,# & %"& -/7%"-3&,-./6 ,#*# "#/ &" :!% "% )%&,-#/&/ &
,#/-/!&,-./H
U/# $% %#" %" % uso de la resolución de ro!le"as co"o ins#ru"en#o
ara la carac#eri$ación de #alen#o en "a#e"%#icas6 )%&-;&$# (#) S&/$)&
R#+&" T##"& ' --&* J-*8/%; G.*%;& $#,%/%" I/"-!# P%$&3.3-,#
(%)%/%,-%/% & & U/-7%)"-$&$ P%$&3.3-,& N&,-#/& ?200@ $#/$% -/7-&/
& #" $#,%/%" & &"&)"% %/ & #"%)7&,-./ (&)& -$%/-9-,&) % &%/# $% #"
%"!$-&/%" *-%/)&" %"#" )%"!%7%/ ()#%*&" *&%*-,#"4 P%)# &
9-/&-;&) "! -/7%"-3&,-./ %3&)#/ & & ,#/,!"-./ :!% "% $%%/ )%&-;&) *&"
-/7%"-3&,-#/%" (&)& ()#9!/$-;&) %/ %"& %*&-,&4
E" $% $%"&,&) :!% & (%"&) $% #$# %"& -/7%"-3&,-./ &(#)& *!,# & %"%
()#'%,# (#):!% -/7-& & #" $#,%/%" & "%) !/#" #"%)7&$#)%" $% & 9#)*&
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 6/36
,#*# "!" %"!$-&/%" )%"!%7%/ #" $-7%)"#" ()#%*&" (&%&$#" %/ &"
*&%*-,&" (&)& ,&)&,%)-;&)#" % -$%/-9-,&) %/ %#" &" &--$&$%" (&)&
)%"#7%) ()#%*&" %/ /!%")& )%&6 (%)# &*-8/ &" $-9-,!&$%" )%&%" :!%
-%/%/ %"#" (&)& ,#*()%/$%) $-,#" ()#%*&" ' (&/%&) !/& (#"-%"#!,-./4
Con#e'#os ( es#ra#e)ias en la resolución de ro!le"as de ri"aria
)%&-;&$# (#) B%&)-; B&/,# O&/# ?IES E!3%/-# F)!#" $% G!&)%=&4
B&$&+#;@ ' L#)%/;# J4 B&/,# N-%# ?F&,!&$ $% E$!,&,-./4 U/-7%)"-$&$ $%
E)%*&$!)&@ %/ % &=# 2006 % ,!& -/7-& & $#,%/% & %/%) %/ ,!%/& %
,#/%# "#,-& %/ % ,!& "% $%"%/7!%7% ' % (%)*-% &()%,-&) ' 7&#)&) &
!--$&$ $% #" ,#/#,-*-%/#" *&%*-,#" %/ & 7-$& ,#-$-&/& !",&/$#
"-%*()% !/& ,#/%-./ %/)% &" &)%&" %",#&)%" ' &" &,-7-$&$%" $% & 7-$&
$-&)-&6 (&)& :!% % %"!$-&/% &()%,-% &" *&%*-,&" ' %" %/,!%/)% !/
"%/-$# & &" *-"*&"4 D%"(!8" $% %/,#/)&) %"& ,#/%-./ % $#,%/% (#$)
&/&-;&)6 ,#*()%/$%) ' #*&) $%,-"-#/%" "#)% & 9#)*& :!% $%% &#)$&)
&" ,&"%" ,#/ #" %"!$-&/%"4
Las TIC en el arendi$a*e cola!ora#i+o en el aula de ri"aria (
secundaria )%&-;&$# (#) ?G&),& V&,&),% M!=#; R%(-"#6 B&"-#& G.*%;
P&#" 6 L#(%; G&),-& 6 201@ $#/$% &/&-;&/ #" &(#)%" $% &" TIC (&)&
%7&) & ,&# ()#,%"#" $% )&&+# ,#&#)&-7# %/ % &!& ' & )&/",%/$%/,-&
:!% -%/% :!% -%/% % &()%/$-;&+% ,#&#)&-7# (#) *%$-# $% &"
%))&*-%/&" $-3-&%" %/ !/ *!/$# ,&$& 7%; *" ,#/%,&$#6 %"& )&&+#
% &(#)& *!,# & %"& -/7%"-3&,-./ '& :!% %/ & I/"-!,-./ A!&"
C##*-&/&" S&/ L!-" "% ,!%/& ,#/ !/& !%/& ,&/-$&$ $% %))&*-%/&"
%,/#.3-,&"6 &" ,!&%" (#$)&/ 9&,--&) *!,# % &()%/$-;&+% $% &"
*&%*-,&" (#) *%$-# $% &()%/$-;&+% ,#&#)&-7# :!% "%)& *!'
)%%7&/% (#):!% "%)& &$:!-)-) ,#/#,-*-%/# $% !/& 9-3!)& $-9%)%/% & :!%
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 7/36
"-%*()% &/ %"&$# &,#"!*)&$#"6 # :!% "!(#/$)& !/ /!%7# %%*%/#
(&)& &,%) :!% #" ,#/#,-*-%/#" %/ % &!& "%&/ *" )&/",%/$%/%"4
La resolución de ro!le"as "a#e"%#icos ( su i"ac#o en ensa"ien#o
cr,#ico del ciudadano )%&-;&$# (#) M#/)#' M!=#; J%"!" I")&% $% &=#
2016 :!% && $% -*(&,# :!% -%/% %/ #" %"!$-&/%" & )%"#!,-./ $%
()#%*&" *&%*-,#" ,#*# !/ 3%/%)&$#) $% ,#/,-%/,-& $% #" ()#%*&"
:!% &9%,&/ "! %/#)/# ' !",&/$# :!% $%"(!%" $% !/ &/&-"-" ()#9!/$#
(&/%%/ (#"-%" "#!,-#/%"4 E"% )&&+# &(#)& *!,# & %"& ()#(!%"&
$% 3)&$# '& :!% %/ & I/"-!,-#/ A!&" C##*-&/&" "% )&&+& %
(%/"&*-%/# ,)-,# ,#*# *#$%# %$!,&-7# ' %/ "- % (%/"&*-%/# ,)-,# #
:!% !",& %" :!% #" %"!$-&/%" "% ,!%"-#/%/ "#)% "! ()#(-& )%-$&$ '
!":!% & 9#)*& $% )&/"9#)*&)& (#) -/-,-&-7& ()#(-&4
Ela!oración de un !lo) ara la ense-an$a.arendi$a*e de las
"a#e"%#icas en el )rado /uin#o del cole)io Cora$onis#a de Medell,n
)%&-;&$# (#) I7/ D&)# D!)&/+# G- ?9&,!&$ $% ,-%/,-&"6 U/-7%)"-$&$
/&,-#/& $% C##*-&@ %/ % &=# 20116K#' $& & %,/##3& %" !/&
%))&*-%/& :!% ()#(-,-& % &()%/$-;&+% ' %/ 8"% ,#%3-# ,)%&)#/ !/ #3
(#) *%$-# $% !/ #33%) :!% &'!$& & (!-,&) ,#/%/-$#" %/ % )%& $% &"
*&%*-,&" $% 3)&$# :!-/# ,#/ % 9-/ $% -/3)%"&) & %"% *!/$# 7-)!& '&
:!% %"& %,/##3& #3)& ,&(&) %/ #" ' &" %"!$-&/%" #$& & &%/,-./ %
-/%)%"%" &()#7%,&/$# %"# (&)& % ()#,%"# $% %/"%=&/;&&()%/$-;&+% $%
8"& )%&4
E"& -/7%"-3&,-./ %" $% 3)&/ &'!$& (&)& /!%")# ()#,%"# $% -/7%"-3&,-./
%/ % )%& $% &" *&%*-,&" (!%"# :!% %" !/& %))&*-%/& &)&,-7&
(&)& #" ' &" %"!$-&/%" $% /!%")# ,#%3-# A!&" C##*-&/&" S&/ L!-"
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 8/36
'& :!% %" !/ *%$-# 7-)!& 3)&-" $#/$% "% (!%$%/ )&&+&) $-9%)%/%"
&%)%" ' &,-7-$&$%" $% )%& $#/$% "% (!%$%/ -/)#$!,-) $-9%)%/%"
*&%)-&%" ,#*# $#,!*%/#"6 &%)%"6 7-$%#" -)#" %/)% #)#"4
E" $% )%,&,&) :!% %"% )&&+# !7# !/ 3)&/ -*(&,# %/ & ,#*!/-$&$%$!,&-7& $% ,#%3-# C#)&;#/-"& $% M%$%/ $#/$% "% #"%)7. &3)&$# (#)
8"& )%& 9&,--&/$# %/ & *&'#)& $% #" ' &" %"!$-&/%" % &()%/$-;&+% '
*%+#). /#&%*%/% & ,#*!/-,&,-./ ,#/ %"!$-&/%"6 (&$)%" $% 9&*--&6 %
$#,%/% ' #" %"!$-&/%"4
OB0ETI1O GENERAL
I*(%*%/&) MICEA ' &" TIC ,#*# %")&%3-&" (%$&3.3-,&" (&)&
*%+#)&) % ()#,%"# $% )%"#!,-./ $% ()#%*&" %/ % )%& $% &"
*&%*-,&" %/ % 3)&$# 5 %/ & I/"-!,-./ %$!,&-7& D-")-& A!&"
C##*-&/&" S&/ L!-" $% B#3#4
OB0ETI1OS ESPECI2ICOS
• I$%/-9-,&) &" $-9-,!&$%" :!% -%/%/ #" ' &" %"!$-&/%" $%
3)&$# 5JT (&)& #3)&) & &()#(-&,-./ $% #" ()#,%"#" $%
)%"#!,-./ $% ()#%*&" %/ % )%& $% &" *&%*-,&"4
• D-"%=&) %")&%3-&" *%#$#.3-,&" :!% *%+#)%/ % ()#,%"# $%
)%"#!,-./ $% ()#%*&" *&%*-,#" $% #" ' &" %"!$-&/%"
$% 3)&$# 5 JT4
• A(-,&) &" %")&%3-&" $-"%=&$&" (&)& #%/%) !/ ,&*-# %/ %
()#,%"# $% &()%/$-;&+% ' )%"#!,-./ $% ()#%*&" *&%*-,#"
$% #" ' &" %"!$-&/%" $% 3)&$# 5JT4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 9/36
• E7&!&) #" ,&*-#" ()%"%/&$#" %/ % ()#,%"# $% &()%/$-;&+% '
)%"#!,-./ $% ()#%*&" *&%*-,#" %/ #" ' &" %"!$-&/%"
$% 3)&$# 5 JT $% & IED ACSL $%"(!8" $% -*(%*%/&) MICEA
Y &" TIC4
MARCO TEORICO
E/ & <-*& $8,&$& &" %,/##3&" $% & -/9#)*&,-./ ' & ,#*!/-,&,-./
&/ -$# &"!*-%/$# ,&$& 7%; !/ (&(% *" )%%7&/% %/ ,&$& !/& $% &"
&,-7-$&$%" :!% )%&-;&*#" & $-&)-# ,#*# "&-) & &,%) %+%),-,-#6 &$*-/-")&)
#" )%,!)"#"6 ,!-$&) & "&!$6 (&3&) !/ (&"&+% $% )&/"(#)% (<-,# #-/,!"# % ,!-$&$# $% & 9&*--&4 L& %$!,&,-./ /# & "-$# &+%/& & %"&
(%)*%&,-./ $% &" &,-7-$&$%" $% & 7-$& !*&/&6 "% )%:!-%)% ,#/#,%)
,.*# "% !--;&/ &" TIC %/ & %$!,&,-./ "- %"/ ()%(&)&$#" #" $#,%/%"
(&)& &,%) !/ !"# &$%,!&$# $% &" TIC '& :!% "% &,% /%,%"&)-# :!% &"
TIC "%&/ -/,!-$&" %/ #$#" #" ,!)),!#" $% &" -/"-!,-#/%" $% 9#)*&,-./
-/-,-&6 (&"&/$# (#) &" "-,&" &"& &" $% 9#)*&,-./ "!(%)-#)6 $&$# :!%
"% & $%*#")&$# :!% %/ &" -/"-!,-#/%" %$!,&-7&" $#/$% #" %"!$-&/%"
-%/%/ & #(#)!/-$&$ $% 9&*--&)-;&)"% ,#/ & %,/##3& #-%/%/ *%+#)%"
)%"!&$#" &,&$8*-,#"4
LAS TIC EN EL AULA
U/ ()#3)&*& *!-*%$-& -/%)&,-7# (!%$% ,#/7%)-)"% %/ !/& (#$%)#"&
%))&*-%/& (%$&3.3-,& ' $-$,-,& :!% &()#7%,% /!%")& ,&(&,-$&$
*!-"%/"#)-&4 L& ,#*-/&,-./ $% %#"6 3)9-,#"6 "#/-$#6 9##3)&9&"6
&/-*&,-#/%" ' 7-$%#" (%)*-% )&/"*--) % ,#/#,-*-%/# $% *&/%)& *!,#
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 10/36
*" /&!)&6 77-$& ' $-/*-,&6 # ,!& )%"!& ,)!,-& (&)& % &()%/$-;&+%4
E"% -(# $% )%,!)"#" (!%$% -/,-&) & & )&/"9#)*&,-./ $% #" %"!$-&/%"6
$% )%,-(-%/%" (&"-7#" $% -/9#)*&,-./ & (&)-,-(&/%" *" &,-7#" $% "!
()#,%"# $% &()%/$-;&+%4
U/ ()#3)&*& *!-*%$-& -/%)&,-7# (!%$% ,#/7%)-)"% %/ !/& (#$%)#"&
%))&*-%/& (%$&3.3-,& ' $-$,-,& :!% &()#7%,% /!%")& ,&(&,-$&$
*!-"%/"#)-&4 L& ,#*-/&,-./ $% %#"6 3)9-,#"6 "#/-$#6 9##3)&9&"6
&/-*&,-#/%" ' 7-$%#" (%)*-% )&/"*--) % ,#/#,-*-%/# $% *&/%)& *!,#
*" /&!)&6 77-$& ' $-/*-,&6 # ,!& )%"!& ,)!,-& (&)& % &()%/$-;&+%4
E"% -(# $% )%,!)"#" (!%$% -/,-&) & & )&/"9#)*&,-./ $% #" %"!$-&/%"6
$% )%,-(-%/%" (&"-7#" $% -/9#)*&,-./ & (&)-,-(&/%" *" &,-7#" $% "!
()#,%"# $% &()%/$-;&+%4
A )&78" $% %"#" /!%7#" *%$-#" % %"!$-&/% (!%$% %(%)-*%/&) %
,#/#,-*-%/# $% !/& *&/%)& :!% )%"!&)& -*(#"-% !--;&/$# 9!%/%" $%
)%9%)%/,-& )&$-,-#/&%"4 E &,,%"# & %"#" )%,!)"#" -/,-$% (#"--7&*%/% %/
& $-"(#"-,-./ :!% *!%")&/ #" &!*/#" (&)& ()#9!/$-;&) ' %/)-:!%,%) "!
,#/#,-*-%/# -/$&3&/$# *" 9!%/%" $% -/9#)*&,-./4 C#/ % "#(#)% $%
%"% %/3)&/&+% -/%)&,-7#6 & ,!)-#"-$&$ % -*&3-/&,-./ $% &!*/# "%
)&/"9#)*&/ %/ !/ (#$%)#"# $-"(#"--7# ,&(&; $% -))!*(-) %/ 7&"#"
$#*-/-#" $% ,#/#,-*-%/#4
D-7%)"#" %"!$-#" &/ *#")&$# :!%6 %/ ,#*(&)&,-./ ,#/ & ,&"%
)&$-,-#/&6 #" ()#3)&*&" *!-*%$-&%" (!%$%/ &'!$&) & %"!$-&/% &
&$:!-)-) & -/9#)*&,-./ $% *&/%)& *" )(-$&4 A3!/#" %"-*&/ :!% "%(!%$% &#))&) &"& !/ 0 (#) ,-%/# $% -%*(# %/ % &()%/$-;&+% ?7%)
A()%/$-;&+%6 %9-,-%/,-& ' *!-*%$-#"@4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 11/36
C-%)&" -/7%"-3&,-#/%" &/ *#")&$# :!% & ()%"%/,-& $% 7&)-#" *%$-#"
&'!$& & -/,)%*%/&) % &()%/$-;&+%4 P#) %+%*(#6 "% & %/,#/)&$# :!% #"
/-=#" &()%/$%/ *%+#) % ,#/%/-$# $% !/ %# ,!&/$# -%/% -!")&,-#/%"4
A" *-"*# "% & %"&%,-$# :!% ,!&/$# #" %"!$-&/%" (!%$%/ %",!,&) !/& $%",)-(,-./ 7%)& "-*!/%&*%/% ,#/ !/& &/-*&,-./6 &()%/$%/ *"
:!% ,!&/$# ".# #'%/ & $%",)-(,-./ # 7%/ & &/-*&,-./4 E" -%/ ,#/#,-$#
% "!(!%"#6 "%3</ % ,!&6 & 3%/% &()%/$% !/ 10 (#) ,-%/# $% # :!% %%6
!/ 20 (#) ,-%/# $% # :!% %",!,&6 !/ 0 (#) ,-%/# $% # :!% 7% ' !/ 50
(#) ,-%/# $% # :!% %",!,& ' 7%4
E *&%")# (!%$% ,!&-9-,&) "! )&&+# %/ % &!& &()#7%,&/$# &"
(#"---$&$%" :!% #9)%,%/ &" TIC4 P#) %+%*(#6 $-7%)"-9-,&) ' %/)-:!%,%) #"
,#/%/-$#" &,&$8*-,#" & #" :!% &,% )%9%)%/,-&6 &()#7%,&/$# &"
*<-(%" 9!%/%" $% -/9#)*&,-./ $% -/%)/% (!%$% *%+#)&) &" ()#(!%"&"
$% %",)-!)& :!% ()#(#/% & "!" %"!$-&/%" !--;&/$# % ()#,%"&$#) $%
%#6 # ,!& %" (%)*-% :!% "% ,#/,%/)%/ *" %/ %&#)&)6 &*(-&) #
()%,-"&) &"(%,#" $% ,#/%/-$# :!% %/ ,#))%3-) &"(%,#" 9#)*&%" $% %#6
%/ &3!/#" ,&"#"6 -))%%7&/%"4 T&*-8/ &!*%/&) & *#-7&,-./ &,-& &
%,!)& #9)%,-%/$# & #" %"!$-&/%" %",)-#" %/ 9#)*&# -(%)*%$-&6 '
9#*%/&) & ,&(&,-$&$ $% )&&+# %/ 3)!(# *%$-&/% %))&*-%/&" ,#*# %
,#))%# %%,)./-,# # % ,&4
A3)%3&) 7&#) & #" ()#,%"#" %$!,&-7#" :!% "% $%"&))#&/ %" # :!% $&
"%/-$# & !"# $% %,/##3& %/ % &!&6 # :!% -*(-,& ,#/#,%) :!% "% %"&
&,-%/$# -%/ ' *&6 ' ,!%" "#/ #" %"&$#" $%"%&$#" ' (#) :!84 P!%$%
%/%) "%/-$#6 $%/)# $% %"% ,#/%#6 -/%/&) &3)%3&) 7&#) ,#/ !/& # *"
-/-,-&-7&"4
E" -*(#)&/% :!% % $#,%/% %/3& !/& -$%& *!' ,&)& $% (#%/,-& $%
,&$& !/# $% #" )%,!)"#" %,/#.3-,#" & "! &,&/,%6 &" ,#*# $% &"
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 12/36
-*-&,-#/%" $% !/ ()#,%"# %$!,&-7#6 "&%) $-&3/#"-,&) %/ 7-7# ' %/
$-)%,# ' & (&)-) $% -/9#)*&,-./ &)-,!&$&4 S#)% %"& &"%6 % $#,%/%
$%% "%) ,&(&; $% $-"%=&) ' (#/%) %/ 9!/,-#/&*-%/# &*-%/%" $%
&()%/$-;&+%4
L&" %,/##3&"6 %/ %"(%,-& &" TIC6 $%%/ "%) (&)% -/%3)& $% &
%$!,&,-./ *#$%)/&6 (%)*--%/$# ,#/ "! !"# %9%,-7# %7&) & ,&# & *-"-./
$% $-7!3&,-./ % -/7%"-3&,-./ %/ &" -/"-!,-#/%" %$!,&-7&"4 E
,#*(!&$#) $%% "#)%(&"&) "!" 9!/,-#/%" )&$-,-#/&%"6 ,#*# "-*(%
%))&*-%/& $% ()#,%"&*-%/# $% %# ' ,#*(!&,-./ -/$-7-$!&6 (&)&
,#/7%)-)"% %/ %))&*-%/& $% !"# ,#*!/-&)-# :!% 9&,--% % $%"&))## ' &
,##)$-/&,-./ $% &)%&" ,##(%)&-7&" ,#/ &"% %/ & -/9#)*&,-./4 L&"
&,-7-$&$%" %",#&)%" ,#&#)&-7&"6 $%"$% ,!&:!-%)& $% &" )%&"
%*-,&" $% ,!)),!#6 "#/ % %+% $% -//#7&,-./ %/ &"(%,#" "#,-#,!!)&%"
()#(-#" $% %/#)/# (%$&3.3-,#4 E"% -(# $% &,-7-$&$ %,/#.3-,& -/7#!,)&
% $%"&))## ' ,)%,-*-%/# $% &%/# !*&/# ,#*# !/ ()#,%"# ,##(%)&-7#
%"(#//%# ' %9%,-7#6 ,#/)&"&/$# ,#/ & &,!& ,!!)& &"&$& %/ &
,#*(%--7-$&$ ' & ()#(-%$&$ -/%%,!&4
E"&" &,-7-$&$%" ,##(%)&-7&" (%)*-%/ & ,#*!/-,&,-./6 &/# -/%)/&
,#*# %%)/&6 $% & 9#)*& :!% % 3)!(# :!% )&&+& %/ !/ ()#'%,# $&$#
(!%$& -/%),&*-&) -/9#)*&,-./ ,#/ #)#"4 E/ %"% ()#,%"# #" 3)!(#"
(!%$%/ ,#/"!&) $-9%)%/%" &"(%,#" $% $-"%=#6 )%,--) $&#" (%)-/%/%"6
,#/"!&) $-)%,&*%/% & %(%)#" /&,-#/&%" % -/%)/&,-#/&%" '6 %/
3%/%)&6 $%"&))#&) &" &--$&$%" $% ,#*!/-,&,-./ ' "-"%*&-;&,-./ $%
-/9#)*&,-./ :!% "#/ ,%/)&%" %/ % ()#,%"# ,-%/9-,# ' %,/#.3-,#4
APRENDI3A0E& E2ICIENCIA 4 MULTIMEDIOS
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 13/36
E/)% &" )&;#/%" :!% %-% & -%)&!)& %"(%,-&-;&$& (&)& %(-,&) &
%9-,-%/,-& $% #" *!-*%$-#" ,#*# %))&*-%/& $% &()%/$-;&+%6 "%
$%"&,&/H
• L& "-*--!$ # -"#*#)9-"*# %/)% & %")!,!)& $% !/ ()#3)&*&
-(%)*%$-& ' & 9#)*& /&!)& ,#*# & 3%/% &()%/$%6 "%3</ #
%(-,&/ &" %#)&" "#)% ()#,%"&*-%/# $% -/9#)*&,-./
• L& -/%)&,-7-$&$ :!% (%)*-% % ,#*(!&$#)
• L& 9%---$&$ %/ % &,,%"# ' *&/%+# $% -/9#)*&,-./
• L& 7&)-%$&$ ' )-:!%;& $% #" ,#/%/-$#"
• L#" %9%,#" *#-7&,-#/&%"
• L& (#"---$&$ $% !/& %/"%=&/;& *" %")!,!)&$&
• L& #(,-./ $% )%)#&-*%/&,-./ -/*%$-&&4
T%,/##3&" ' 7&#) &3)%3&$#
A ,#/-/!&,-./ "% *%/,-#/&/ &3!/&" -/-,-&-7&" (&)& &3)%3&) 7&#) & #"
()#,%"#" %$!,&-7#" %/ % &!&H
• C!&/$# #" ()#,%"#" %$!,&-7#" "#/ *!' -/$-7-$!&-"&" # ,&)%/%"
$% ,#/")!,,-./ $% ,#/#,-*-%/#6 ,&% ()#*#7%) *&'#) ,#&#)&,-./
%/)% &()%/$-,%" *%$-&/% % !"# $% %,/##3&" $% ,#*!/-,&,-./
(&)& -/%)&,!&)6 & %(#)&,-./ ,#/+%!)& $% &*-%/%"
%(%)-%/,-&%" # % !"# ,)%&-7# $% %))&*-%/&" $% ()#$!,-7-$&$4
• S-*(-9-,&) ' )%(#%/,-&) ()#,%"#" $% &()%/$-;&+% (#) -/$&3&,-./
$%+&/$# & & %,/##3& & ,&(!)& # % ()#,%"&*-%/# $% &-/9#)*&,-./ ' & #" !"!&)-#" & $%9-/-,-./ $% :!8 &,%)6 ,.*# &,%) '
,.*# "&%) :!% # %,# %" -%/4
• A(#'&) & #*& $% $%,-"-#/%" &"&$& %/ -/9#)*&,-./ (#) (&)% $%
%"!$-&/%"6 $#,%/%" ' (&$)%" $% 9&*--&6 *%$-&/% % &,,%"# &
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 14/36
&"%" $% $&#" ' & "-"%*&" $% -/9#)*&,-./ )%%7&/%"6 #(#)!/#" '
()%,-"#"4
1ENTA0AS PEDAGÓGICAS 4 DID5CTICAS DE LAS TIC
E/ & <-*& $8,&$& &" %,/##3&" $% & -/9#)*&,-./ ' & ,#*!/-,&,-./
&/ -$# &"!*-%/$# ,&$& 7%; !/ (&(% *" )%%7&/% %/ ,&$& !/& $% &"
&,-7-$&$%" :!% )%&-;&*#" & $-&)-# ,#*# "&-) & &,%) %+%),-,-#6 &$*-/-")&)
#" )%,!)"#"6 ,!-$&) & "&!$6 (&3&) !/ (&"&+% $% )&/"(#)% (<-,# #
-/,!"# % ,!-$&$# $% & 9&*--&4 L& %$!,&,-./ /# & "-$# &+%/& & %"&
(%)*%&,-./ $% &" &,-7-$&$%" $% & 7-$& !*&/&6 "% )%:!-%)% ,#/#,%)
,.*# "% !--;&/ &" TIC %/ & %$!,&,-./ "- %"/ ()%(&)&$#" #" $#,%/%"(&)& &,%) !/ !"# &$%,!&$# $% &" TIC '& :!% "% &,% /%,%"&)-# :!% &"
TIC "%&/ -/,!-$&" %/ #$#" #" ,!)),!#" $% &" -/"-!,-#/%" $% 9#)*&,-./
-/-,-&6 (&"&/$# (#) &" "-,&" &"& &" $% 9#)*&,-./ "!(%)-#)6 $&$# :!%
"% & $%*#")&$# :!% %/ &" -/"-!,-#/%" %$!,&-7&" $#/$% #" %"!$-&/%"
-%/%/ & #(#)!/-$&$ $% 9&*--&)-;&)"% ,#/ & %,/##3& #-%/%/ *%+#)%"
)%"!&$#" &,&$8*-,#"4
E"% -(# $% %))&*-%/&" (#) "- "#&" '& "% %/,!%/)& %/ % $-&)-# 7-7-) $% &
*&'#)& $% #" ' &" %"!$-&/%" $% %"& -/"-!,-./ %$!,&-7&6 &" ,!&%" /#
"#/ &()#7%,&$&" $% 9#)*& &$%,!&$& (#) #" ' &" %"!$-&/%" :!% & %"&)
%/ ,#/&,# ,#/ %&" &" 7%/ "## ,#*# & (#"---$&$ $% $-7%)-)"% #
,#*!/-,&)"% ,#/ "!" &*-3#"6 ,#/)&)-# & # :!% &/ %"!$-&$#
()#9!/$&*%/% ' &/ %3&$# & !/&" ,#/,!"-#/%" "#)% "!" #/$&$%"6 #"
&!#)%" $% L&" TIC ' % &()%/$-;&+% ,#&#)&-7# %/ % &!& $% ()-*&)-& '"%,!/$&)-& 1?G&,),-& V&,&),% M!=#; R%(-"#6 B&"-#& G#*%; P&#" 6
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 15/36
L#(%; G&),-& 6 201@6 :!% %/ ,#/)&"% ,#/ & %$!,&,-./ )&$-,-#/&6 &"
#(,-#/%" (%$&3.3-,&" ' $-$,-,&" &(#'&$&" %/ &" /!%7&" T%,/##3&" $%
& -/9#)*&,-./ ' & ,#*!/-,&,-./ ?TIC@ #9)%,%/ &" "-3!-%/%" 7%/&+&"H
• M" ,%/)&$&" %/ #" -/%)%"%" ' (#"---$&$%" $% &!*/#
• P!%$%/ %"-*!&) *" % (%/"&*-%/# ,)-,#
• U--;&/ *<-(%" *%$-#" (&)& ()%"%/&) -/9#)*&,-./
• O9)%,%/ ,#/$-,-#/%" &$%,!&$&" (&)& % &()%/$-;&+% ,##(%)&-7#
• P%)*-%/ :!% % *&%")# ()-7-%3-% "! )# ,#*# 9&,--&$#) $%
&()%/$-;&+%
• K&,%/ $% &!*/# !/ &()%/$-; *" &,-7#
E"-*!&/ ' #9)%,%/ ,#/$-,-#/%"
RESOLUCION DE PROBLEMAS MATEMATICOS
U/# $% #" ()#%*&" :!% ()%"%/&/ #" ' &" %"!$-&/%" ,#/ *&'#)
9)%,!%/,-& %" & 9&& $% %")&%3-&" (&)& )%"#7%) $-9%)%/%" ()#%*&"
*&%*-,#"6 (!%" P#$%*#" $%,-) :!% & )%"#!,-./ $% ()#%*&"
*&%*-,#"6 ,#/"-"% %/ !",&) # &&) !/& )%"(!%"& &$%,!&$& & # :!%
%-3% % ()#%*& (&/%&$# 4L& "#!,-./ $% !/ ()#%*& $%% $&)"% &
)&78" $% !/ ()#,%"# $% <":!%$&6 &7&/,%" ' )%)#,%"#" %/ % )&&+#
*%/& :!% "% %" )%&-;&/$# (#/-%/$# %/ (),-,& *8#$#" $% "#!,-./4
E/ /!%")& 7-$& ,#-$-&/& "% ()%"%/&/ $-9%)%/%" -(#" $% ()#%*&" :!%
%%*#" "#!,-#/&) $% &3!/& *&/%)&6 %/ % ,&"# $% #" ' &" %"!$-&/%"
9)%,!%/%*%/% "% 7%/ %/9)%/&$#" & )%"#7%) ()#%*&"6 "%3</2
?P#'&61@6 &9-)*& :!% !/ ()#%*& "-3/-9-,& !",&) $% 9#)*& ,#/",-%/% !/&
&,,-./ &()#(-&$& (&)& #3)&) !/ #+%-7# ,&)&*%/% ,#/,%-$# (%)# /#
&,&/;&% $% 9#)*& -/*%$-&&4
1G&,),-& V&,&),% M!=#; R%(-"#6 B&"-#& G#*%; P&#" 6 L#(%; G&),-& 6 201 &" TIC %/ %&()%/$-;&+% ,#&#)&-7# %/ % &!& $% ()-*&)-& ' "%,!/$&)-&
2G%#)3% P#'& -)# M&%*&-,& D-",#7%)' ,&(-!# 5@
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 16/36
E/ ,!&/# & & )%"#!,-./ $% ()#%*&"6 "% &/ )%&-;&$# 7&)-#" %"!$-#",#/ & 9-/&-$&$ $% *%+#)&) % )%/$-*-%/# &,&$8*-,# $% #" ' &"%"!$-&/%"4 C#/ 8"% )&&+# ()%%/$%*#" !",&) %/ %#" ' %&" % &3)&$#' 3!"# (#) & *&%*-,& *%$-&/% & )%"#!,-./ $% $-9%)%/%" ()#%*&":!% (&/%& $-,& )%&4
?P#'&6 1@ (&)& -/7#!,)&) & "!" %"!$-&/%" %/ & )%"#!,-./ $%()#%*&" *&%*-,#" 3%/%)&-;# "! *8#$# %/ ,!&)# (&"#"H
PASO 6 ENTENDER EL PROBLEMA4
14 E/-%/$%" #$# # :!% $-,%
24 P!%$%" )%(&/%&) % ()#%*& %/ !" ()#(-&" (&&)&"
4 D-"-/3!%" ,!%" "#/ #" $&#"4 S&%" & :!8 :!-%)%" %3&)
54 K&' "!9-,-%/% -/9#)*&,-./
4 K&' -/9#)*&,-./ %)&=&
4 E" %"% ()#%*& "-*-&) & &3</ #)# :!% &'&" )%"!%# &/%"
PASO 7 CON2IGURAR UN PLAN
P&)& ,#/9-3!)&) % (&/ "% $%%/ %/%) %/ ,!%/& &" "-3!-%/%" %")&%3-&"H
14 E/"&'# ' %))#) ?,#/+%!)&) ' ()#&) & ,#/+%!)&@
24 U"&) !/& 7&)-&%
4 B!",&) !/ (&)./
4 K&,%) !/& -"&
54 R%"#7%) !/ ()#%*& "-*-&) *" "-*(%
4 K&,%) !/& 9-3!)&
4 K&,%) !/ $-&3)&*&
4 U"&) )&;#/&*-%/# $-)%,#
4 U"&) )&;#/&*-%/# -/$-)%,#
104 U"&) &" ()#(-%$&$%" $% #" /<*%)#"
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 17/36
114 R%"#7%) !/ ()#%*& %:!-7&%/%
124 T)&&+&) &,-& &)"
14 U"&) ,&"#"
14 R%"#7%) !/& %,!&,-./154 !",&) !/& 9.)*!&
14 K&,%) !/& "-*!&,-./
14 U"&) !/ *#$%#
14 !"&) &/-"-" $-*%/"-#/&
14 I$%/-9-,&) "!*%&"
204 U"&) "-*%)&"
PASO 8 E0ECUTAR EL PLAN
14 I*(%*%/&) & # &" %")&%3-&" :!% %",#3-"% &"& "#!,-#/&) ,#*(%&*%/% % ()#%*& # &"& :!% & *-"*& &,,-./ %"!3-%)& #*&) !/ /!%7# ,!)"#4
24 C#/,8$%% !/ -%*(# )&;#/&% (&)& )%"#7%) % ()#%*&4 S- /#
-%/%" 8-# "#-,-& !/& "!3%)%/,-& # &; % ()#%*& & !/ &$#(#) !/ *#*%/# ?(!%$& :!% "% % ()%/$& % 9#,# ,!&/$# *%/#"# %"(%)%"@4
4 N# %/3&" *-%$# $% 7#7%) & %*(%;&)4 S!%% "!,%$%) :!% %/ !/,#*-%/;# 9)%",# # /!%7& %")&%3-& ,#/$!,%/ & 8-#4
PASO 9 MIRAR HACIA ATR5S
14 E" ! "#!,-./ ,#))%,& T! )%"(!%"& "&-"9&,% # %"&%,-$#%/ % ()#%*&
24 A$7-%)%" !/& "#!,-./ *" "%/,-&
4 (!%$%" 7%) ,.*# %%/$%) ! "#!,-./ & !/ ,&"# 3%/%)&
P#) # 3%/%)& #" ()#%*&" "#/ %/!/,-&$#" %/ (&&)&"6 '& "%& #)&*%/%# %/ 9#)*& %",)-&4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 18/36
A"6 (&)& )%"#7%) !/ ()#%*&6 !/# )&"&$& &" (&&)&" & !/& 9#)*&%:!-7&%/% $% ()#%*& %/ & :!% !"& "*##" *&%*-,#"6 )%"!%7%%"& 9#)*& %:!-7&%/% ' !%3# -/%)()%& & )%"(!%"&4
S% $%% &,&)&) :!% %"&" %&(&" /# "% $%%/ $&) $% 9#)*& "%(&)&$& /-
&-"&$& %/)% "6 "-/# :!% $%%/ %"&) %")%,&*%/% !/-$&" $% & 9#)*&:!% "% %()%"% % %,# $% )%(%-) 7&)-&" 7%,%" !/ *-"*# /-7% $% (&)% $%:!-%/ %" )%"#7-%/$# % ()#%*& *&%*-,#4
L& )%"#!,-./ $% ()#%*&" *&%*-,#" "% ,#/"-$%)& ,#*# & (&)%%"%/,-& ' 9!/$&*%/& $% $-,& )%&6 (!%"# :!% #" ' &" %"!$-&/%"%(%)-*%/&/ & !--$&$ :!% %" )-/$& %/ % *!/$# :!% #" )#$%&4
MODELOS DE RESOLUCIÓN DE PROBLEMAS
E-"%/ $-7%)"#" *#$%#" $% )%"#!,-./ $% ()#%*&" %/)% #" *"
$%"&,&$#" (&)& % ,&"# $% &" *&%*-,&" %/%*#" #" "-3!-%/%"H
MODELO DE MIGUEL DE GU3M5N
14 FAMILIARIZACIÓN
Q C#*()%/$%) % %/!/,-&$#4
Q I$%& ,&)& $% #" $&#" :!% -/%)7-%/%/6 &" )%&,-#/%" %/)% %#" ' # :!%
"% (-$%4 S%) ,&(&,%" $% ,#/&) % ()#%*& ,#/ /!%")&" (&&)&" ?(%,!&
$% ()#%*&@
24 ESTRATEGIAS
• E/,#/)&) 9#)*&" $% &#)$&) % ()#%*&4
• E")&%3-&" 3%/%)&%"H %*(%;&) (#) &3</ ,&"# 9,- %(%)-*%/&) '
!",&) )%3!&)-$&$%" &,%) 9-3!)&"6 %":!%*&" ' $-&3)&*&" %",#3%)
!/ %/3!&+% # /#&,-./ &$%,!&$#" !",&) "%*%+&/;&" %*(%;&) (#)
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 19/36
% 9-/& "!(#/%) :!% /# %" (#"-% 8,/-,&" %"(%,9-,&"
?*&%*-,&"@4
RESOLUCIÓN DE PROBLEMAS
4 LLEVAR ADELANTE LA ESTRATEGIA
• S%%,,-#/&) & %")&%3-& :!% (&)%,% *" 7-&%4
• L%7&) &$%&/% & %")&%3-& ,#/ $%,-"-./6 ,#/9-&/;&6 #)$%/6 %"./ '
"#"-%3#4
• A"%3!)&)"% $% &%) %3&$# & & "#!,-./6 /# :!%$&)"% & *%$-&"4
• A(!/&) -$%&" /!%7&" :!% (!%$&/ "!)3-) "-/ :!% % $%"7%/ $%
,&*-/# )&;&$#4
• R%7-"&) & -$#/%-$&$ $% & %")&%3-& %%3-$& "- /# ()#"(%)&4
4 REVISIÓN Y CONSECUENCIAS
• E/ %"% (&"# %" -*(#)&/% %/%) !/ !%/ ()##,## $% ()#%*&H
%/%) %",)-#" #" $&#"6 &" -$%&"6 #" (&"#"6 &" ,#/,!"-#/%"6 #"()#%*&"
• R%7-"-./H E)& &$%,!&$& & %")&%3-&6 "% & "%3!-$# ,#))%,&*%/%6
& "#!,-./ %" $% &,!%)$# ,#/ % ()#%*&
• C#/"%,!%/,-&"H &' #)&" 9#)*&" $% )%"#7%)6 (%)*-% 3%/%)&-;&)
,#/,!"-#/%"6 -/%)%"&/ 7&)-&,-#/%" $% ()#%*&
RESULTADOS ESPERADOS
D%"(!8" $% )%&-;&) %"% )&&+# "% %"(%)& #%/%) #" "-3!-%/%"
)%"!&$#"H
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 20/36
• !% #" %"!$-&/%" "%&/ ,&(&,%" $% %/%/$%) % ()#%*&"6
$-"-/3!-%/$# #" $&#"6 "&%) & :!8 "% :!-%)% %3&) %/ %"% ()#%*&
• C#/9-3!)&) !/ (&/ %/-%/$# %/ ,!%/& & ,#/")!,,-./ $% ,#/+%!)&6
!",&/$# !/#" (&)#/%" (&)& )%"#7%) #" ()#%*&" $% & 9#)*&*" "-*(% (#"-% !"&/$# % )&;#/&*-%/# $-)%,#4
• E*ecu#ar el lan i"le"en#ado las es#ra#e)ias /ue :a esco)ido
ara solucionar co"le#a"en#e el ro!le"a
MARCO METODOLÓGICO
L&" -/7%"-3&,-#/%" ,#))%"(#/$%/ & !/& -/7%"-3&,-./ ,!&-&-7& '& :!%
%" )%9%)-$& & ()#%*&" %"(%,9-,#" ,!&/$# "% :!-%)% $&) !/& "#!,-./
(),-,& &(-,&/$# %#)&" # ,#/#,-*-%/#" ,-%/9-,#"4
S%%,,-#/&*#" $#" *#*%/#" %/ & -/7%"-3&,-./H
• D-&3/."-,# $% & )%&-$&$4
• D-"%=# $% & ()#(!%"& $% !/ ()#3)&*& $% %")&%3-&" *%#$#.3-,&"
(&)& % $%"&))## $% (%/"&*-%/# ,-%/9-,# % -/7%"-3&-7#4
ASPECTOS METODOLÓGICOS;
• M!%")& $% %"!$-#4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 21/36
• I/9#)*&,-./ "#)% /%,%"-$&$%" $% $%"&))## $% (%/"&*-%/#
,-%/9-,# % -/7%"-3&-7# $% #" %"!$-&/%"4• I/9#)*&,-./ "#)% *#$%# $% %")&%3-&" :!% "% /%,%"-& (&)& %
$%"&))## $% (%/"&*-%/# ,-%/9-,# % -/7%"-3&-7#4• D-"%=# $% ()#3)&*& $% %")&%3-&" *%#$#.3-,&" :!% "%
!--;&)&/ (&)& % $%"&))## $% ()#'%,#4
DISE<O DE LA IN1ESTIGACIÓN;
P&)& % ()%"%/% %"!$-# "% ,#/"-$%)& & #" %"!$-&/%" $% 5#4 G)&$# $%
E$!,&,-./ B"-,& P)-*&)-&4 D% & -/"-!,-./ %$!,&-7& A!&" C##*-&/&"S&/ L!-" %/ & #,&-$&$ $% S&/& F% B#3# D4C
ESTRATEGIAS DE REGISTRO 4 AN5LISIS
E/ % ()#,%"# $% & )%,#(-&,-./ $% $&#" "% !--;&)/ $#" -/")!*%/#" '
"% &(-,&) $% *&/%)& -/$-7-$!&4
U/& %",&& $% &--$&$%" $% (%/"&*-%/# ,-%/9-,# % -/7%"-3&-7# (&)&
%7&!&) & ,#*()%/"-./6 "%%,,-./6 ' ,#*()#&,-./ $% )%"!&$#" %/ &
)%"#!,-./ $% # $%",#/#,-$# :!% %-"% %/ % %/#)/# :!% # )#$%& (&)&
%# "% %&#)&) !/ %" :!% (%)*--) %7&!&) (%)-/%/%*%/% $-,&"
&--$&$%" !--;&/$# &()#(-&$&*%/% !/& %",&&4
POBLACIÓN 4 MUESTRA
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 22/36
T=CNICAS DE CAMPO;
P&)& &" %/)%7-"&" ' &(-,&,-./ $% -/")!*%/#" $% & (#&,-./ %"!$-&/-
' $#,%/% "% ,!%/& ,#/ &(#'# $% (%)"#/& $% & %",!%&6 $&$# :!% "%
)&& $% !/& -/7%"-3&,-./ :!% !",& "%) &!#)-;&$& (#) (&)% $% &
-/"-!,-./4
P#) & /&!)&%;& $% & -/7%"-3&,-./ "% !--;&) & 8,/-,& $% & &(-,&,-./
$% !/ %" :!% ,#/"-"% %/ &(-,&) &" ()%3!/&" (&)& %7&!&) &" &--$&$%"
$% (%/"&*-%/# ' "! ,&)&,%)-;&,-./ (#) #" )%" ,%)%)#" $% #" %$!,&/$#"
$% 5#4 G)&$# $% %$!,&,-./ "-,& ()-*&)-&4
S% &(-,&) %/)%7-"&" & )%,#)6 ,##)$-/&$#) &,&$8*-,# ' $#,%/%" "#)% %
()#3)&*& $% &" %")&%3-&" (%$&3.3-,&" (&)& $%"&))#&) % (%/"&*-%/#
,-%/9-,# % -/7%"-3&-7# %/ & )%"#!,-./ $% ()#%*&" *&%*-,#"4
AN5LISIS ESTAD>STICO DE DATOS
P#) "! /&!)&%;& & -/7%"-3&,-./ %"&$"-,& "%) ,!&-&-7&6 # :!%
,#/%7& & :!% 7&*#" & &/&-;&) ,&$& !/& $% &" ,&%3#)&"6 (&)& %3&) &
&3!/& ,#/,!"-./ $% -(# %"&$"-,#4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 23/36
ASPECTOS ADMINISTRATI1OS
L& 9-/&/,-&,-./ $% P)#'%,# $% I/7%"-3&,-./ "%) )%&-;&$& (#) &" -/7%"-3&$#)&"4
CRONOGRAMA DEL PRO4ECTOCód;Mod;
1er
NOMBRE DELPRO4ECTO
EL USO DE LAS TIC 4 MICEA PARA ME0ORAR EL PROCESO DE APRENDI3A0E ENEL 5REA DE LAS MATEM5TICAS DE LOS 4 LAS ESTUDIANTES EL GRADO ? 0T EN
EL COLEGIO AULAS COLOMBIANAS SAN LUIS@DURACIÓN DELA E0ECUCIÓNDEL PRO4ECTOEN MESES
el ro(ec#o #iene una duracion aro'i"ada de 6 "eses
RESPONSABLES ; ANDRES SAMIR BE0ARANO& LENER SUSANA SANTANA 4 ENNA PILAR ORDO<E3
N ACTI1IDAD
MES
6 7 8 9 ? 6F 66 67 68 69 6? 6 6 6 6 7F 76 77 78 791
2PRESENTACI
ON DEPROPUESTA
2022015
PROBLEMADE
11020
15
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 24/36
INVESTIGACIONN
RECOLECCION DE
INFORMACION
2052015
5 MARCOTEORICO
20520
15
DIAGNOSTIC
O DE LAREALIDAD
02015
TRABAJO DE
CAMPO
202015
10
1
1 12
1
1
15
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 25/36
Valor Unitario Cantidad Total
1. BIBLIOGRAFÍA
a) Textos. 50000 9 50000
!) Foto"o#ias. 100 0000 0000
") Internet. 1000 50 50000
d) $or%as. 10000 1 10000
e) Otros. &0000
'. (*(RI+($TACI,$
a) Constr-""in de la #ro#-esta 1000000 1 1000000!)so"iali/a"in de la #ro#-esta 0000 1 0000
") a#li"a"in de #r-e!as re"ole""in de lainor%a"in
'0000
6000000 3 18000000
d) Investigadores
& A$2LI3I3 4 +A$(O6( I$FOR+ACI,$
a) an7lisis 100000 1 100000
!) 6i8ita"in. 50000 1 50000
") 3otare es#e"iali/ado. '00000 :00000
d) Asesor;a es#e"iali/ada. 50000 '00000
. 6OCU+($TO FI$AL
a) 6i8ita"in. 1&0000 1&0000!)"orre""in '5000 : '00000
") I%#resin. '00000 :0000
d) (%#astes. '0000 1 '0000") Otros< =*lanos>
Foto8ra;as<). 100000
Gastos total? '1>&'0>000
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 26/36
CARACTERI3ACION LOCALIDAD DE SANTA2E
S&/& F% ?B#3#@
San#a 2e
Localidad de Colo"!ia
Bandera Escudo
U!icación de San#a 2e
Coordenadas; 50N 0OC##)$%/&$&"H 50N 0O ?*&(&@
En#idad L#,&-$&$ W P&" C##*-&
W D-")-#C&(-&
B#3#
Alcalde Local B&/,& B#.):!%; M#/%/%3)#
Su!di+isiones 5 UPZ
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 27/36
Suericie W T#& 6 X*Po!lación 7F
F?
W T#& 10 0 &()# &4 W D%/"-$&$ 226001 &X*Códi)o os#al 11011 ?M#/"%))&%L&" N-%7%"@
11021 ?G!&$&!(%L&" C)!,%"@
Pa#rona V-)3%/ $% C&*(#
San#a 2e %" & #,&-$&$ /<*%)# )%" $% D-")-# C&(-& $% B#3#4 F#)*&
% ,%/)# )&$-,-#/& $% & ,-!$&$6 ,#*(&)-8/$## ,#/ L&6 #,&-$&$ :!%
%" %/,&7&$& %/ "! %))-#)-#6 "%(&)&$& %/ 114 L& #,&-$&$ S&/& F%
$%)-7. "! /#*)% $% /#*)% &/-3!# $% & ,&(-&4 G)&/ (&)% $% & B#3#
,##/-& ' $% ()-/,-(-#" $% "-3# "% %/,!%/)& %/ %"& #,&-$&$4 S&/&
F% -/,!'% & ;#/& $% #" %$-9-,-#" 3!%)/&*%/&%" ' ,#)(#)&-7#" $%
& ,&))%)& S8(-*& ' $% C%/)# I/%)/&,-#/&6 % "%,#) &/,&)-# $%
& &7%/-$& J-*8/%;6 &" ,#*# % )&$-,-#/& &))-# ,#*%),-& $% S&/V-,#)-/#6 :!% %" !/# $% #" %+%" $% ,#*%),-# #3#&/# $%"$% & 8(#,&
,##/-&4 L& #,&-$&$ &*-8/ -%/% !/& (&)% )!)& ,#))%"(#/$-%/% &
#" ,%))#" O)-%/&%" $% M#/"%))&% ' G!&$&!(%4
HISTORIA
B#3# 9!% 9!/$&$& (#) G#/;&# J-*8/%; $% !%"&$& % $% &3#"#
$% 15 &+# % /#*)% S&/ C)-".&4 D% %,# 9!% % ()-*%) &"%/&*-%/#
*--&) %/ "&&/& $% B#3#4
L& 9!/$&,-./ +!)$-,& "!,%$-. %/ & &,!& (&;& $% B#7&) 6 %/ L&
C&/$%&)-&6 %/)% #" )#" S&/ F)&/,-",# ?#' &7%/-$& J-*8/%;@ ' S&/
A3!"/ ?#' ,&% S%&@6 (%)# ()#/# & ,-!$&$ "% %%/$-. 9!%)& $% %"&
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 28/36
;#/&6 &)%$%$#) $% & (&;& $% &" -%)&" ?#' P&):!% S&/&/$%) @ ' (&)&
9#)*&) #" &,!&%" &))-#" $% S&/ V-,#)-/# ' L&" N-%7%"6 $% & &,!&
#,&-$&$ $% S&/& F%4
P&;& $% S&/ V-,#)-/#4
A ()-/,-(-#" $% "-3# & ,-!$&$ "% ,#/9-/&& & & &,!& #,&-$&$ $%
S&/& F% ' /# "%)& "-/# &"& % &=# $% 120 :!% & %(&/"-./ &,-&
C&(-/%)# ' *" &)$% &,-& % #,,-$%/% %/ % &=# 150 "% &)&/
%7-$%/%"4 S&/& F% 9!% %)-3-$& ,#*# &,&$& *%/#) % &=# $% 12 ,#/ &
,)%&,-./ $% D-")-# E"(%,-& $% B#3#4 A )&; $% & ,#/"-!,-./ $% 116
,#/ & ,)%&,-./ $% D-")-# C&(-& & A,&$& M%/#) 9!% )&/"9#)*&$&
(#-,& ' &$*-/-")&-7&*%/% %/ J!/& $% A,,-./ L#,& ?JAL@6 # L#,&-$&$4
A3!/#" "!,%"#" $%"&,&$#" :!% *%)%,%/ ,-&)"%H
• E/ 10 "% ,#/")!'% % P&):!% $% & I/$%(%/$%/,-&4
• E/ 110 "% $%"&))#& & %(#"-,-./ &3)#-/$!")-& $% ,%/%/&)-# $% &
-/$%(%/$%/,-& %/ $-,# !3&)4
• E/ 12 "% -/&!3!)& % T%&)# F&%/;& ,#/ & ()#'%,,-./ $%
()-*%) &)3#*%)&+% #&*%/% ,##*-&/#6 -!&$# La tragedia del
silencio4
• E/ 1 (&)% $% & #,&-$&$ 9!% &))&"&$& (#) % B#3#&;#4 S%
-/&!3!)& %/ % &/-3!# P&/.(-,# % M!"%# N&,-#/& $% C##*-&4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 29/36
• E 0 $% %/%)# $% 16 & %(#"-./ $% !/ ,#,% #*& %/ & ,&))%)&
/#7%/&6 $%+. 25 (%)"#/&" *!%)&" ' 0 %)-$#"41
LIMITES
S&/& F% ,!)% !/& $% &" *" )&$-,-#/&%" ;#/&" $% & ,-!$&$6 "-%/$#
&"-*-"*# "!" &)%$%$#)%" (&)% $% & B#3# &/-3!&4 E/ 126 ,!&/$# "%
$-7-$-. % $-")-# %/ $-%,-"8-" &,&$&" *%/#)%"6 & #,&-$&$ &$:!-)-. "!"
()#(#),-#/%" &,!&%"4
R# S&/ F)&/,-",#4
NorteH R# A);#-"(# # C&% 6 ,#/ & #,&-$&$ $% C&(-/%)#4
Sur H A7%/-$& P)-*%)&6 ,#/ & #,&-$&$ $% S&/ C)-".&4
EsteH ,%))#" O)-%/&%"6 ,#/ #" *!/-,-(-#" $% C#&, ' U&:!%4
OesteH A7%/-$& C&)&,&"6 ,#/ &" #,&-$&$%" $% T%!"&:!-#6 L#"
M)-)%" ' A/#/-# N&)-=#4
E/,&7&$& %/ "! %))-#)-# "% %/,!%/)& & #,&-$&$ $% L& C&/$%&)-&6 $% &
,!& & "%(&)&/ & ,&))%)& N#7%/&6 & &7%/-$& J-*8/%;6 & ,&))%)& P)-*%)& '
& ,&% S%&4
GEOGRA2>A
P#) "! ,%),&/& & #" ,%))#" O)-%/&%" % %))%/# $% & ;#/& !)&/& #)-%/&
$% & #,&-$&$ %" -/,-/&$#6 ,#/ (%/$-%/%" :!% 7&)&/ $% #" 0 3)&$#"6
,%),& $% #" ,%))#"6 &"& #" 3)&$#"6 ,%),& $% & ;#/& (&/& ?9!7-#
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 30/36
&,!")%@4 L& #,&-$&$ -/,!'% #" *#/%" $% M#/"%))&% ' G!&$&!(%6
&*#" ,#/ *" $% 4000 *"/*6 %/ % %)%*# $% ()&*# $% C)!; V%)$%4
S&/& F% ,!%/& &"-*-"*# ,#/ #" )#" S&/ F)&/,-",#6 S&/
A3!"/6 A);#-"(# ' S&/ C)-".&4
SALUD 4 NUTRIC>ON
S% ,!%/& ,#/ !/& &$%,!&$& #9%)& $% &-*%/#" (#) & ()%"%/,-& $% &
P&;&" ,#*# P%)"%7%)&/,-&6 /-%7%" ' C)!,%"6 -%/$&" $% &))-# ' 3)&/$%"
"!(%)*%),&$#"4 R%"(%,# & & ,&-$&$ $% #" &-*%/#"6 & *&'#) $-9-,!&$
"% ,%/)& &)%$%$#) $% -/&$%,!&$# *&/%+# $% %"#" (#) (&)% $% #"%(%/$%$#)%" %/ -%/$&"6 # :!% "% )%9%+& %/ % &# /<*%)# $% %"#"
%"&%,-*-%/#" ,#/ ,#/,%(# "&/-&)-# (%/$-%/%4
L#" ()#%*&" /!)-,-#/&%" %/ % )%& )!)& "#/ *" &,%/!&$#" :!% %/ %
)%& !)&/&6 # ,!& $%*!%")& %,!"-./ "#,-& $% ,&*(%"-/&$# %/ & ;#/&
)!)& $% & #,&-$&$6 &-*%/#" ,#*# 7%)$!)&" ' #)&-;&" ()#$!,-$#"6 "%
!--;&/ (&)& % -/%),&*-# ,#*%),-&6 ,#/ & $%(%/$%/,-& $% *%),&$# :!%
%# "!(#/%4
E )%"!&$# /%# $% &&/,% %/)% 7!/%)&--$&$6 )-%"3#"6 #(#)!/-$&$%" '
,&(&,-$&$%" (&)& &,,%$%) & #" &-*%/#"6 &))#+& !/ "&$# /%3&-7# (&)& #"
#3&)%" *" (#)%" "&$# :!% ,#)& $-*%/"-#/%" *" $)&*-,&" ,!&/$#
"% &$7-%)% :!% (&)& %"#" #3&)%"6 & $-9%)%/,-& $% #" #3&)%" $% %")&#"
*%$-#"6 & -/"%3!)-$&$ &-*%/&)-& ' /!)-,-#/& & "-$# !/& ,#/$-,-./
,)./-,&6 ' /# !/& "-!&,-./ [)&/"-#)-&\4
T%/-%/$# %/ ,!%/& :!% #" &+#" -/3)%"#" -/,-$%/ %/ & -/&$%,!&$&
&-*%/&,-./ $% & (#&,-./ #,&6 % 24> $% "!" &-&/%" !7-%)#/ :!%
)%,!))-) & #" ()#3)&*&" $% &(#'# &-*%/&)-# #9-,-&%" # $% O)3&/-;&,-#/%"
/# 3!%)/&*%/&%" ?ONG@6 %/,#/)&/$# &))%)&" $% &,,%"# & %"#" (#)
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 31/36
#" )%:!%)-*-%/#" %"&%,-$#"6 %+%*(# $% %# %" % %")&# ?1' 2@ %-3-$#
(&)& & -/,!"-./ & %"& &'!$&4
S% )%,#/#,% :!% % $89-,- /!)-,-#/& %/ & (#&,-./ $% & #,&-$&$ %" &#
"-/ %*&)3#6 "% "-3!% 9#,&-;&/$# "## %/ #" ,&"#" $% &# )-%"3#4 [E(#),%/&+% $% $89-,- &/# %/ (%"# ,#*# %/ && (&)& & %$&$6 %" &"&/%
%%7&$# %/ #$&" &" #,&-$&$%" $% D4C46 "-/ %*&)3# ,!&/$# "% 9#,&-;&6
#" /-=#" :!% )%:!-%)%/ "%) )%*--$#" & ()#3)&*&" $% ,#*(%*%/&,-./
&-*%/&)-& (#) ()%"%/&) $89-,- %"(%,-&*%/% %/ (%"#6 "% -%/%/ %/ ,!%/&
,#*# (!/# $% ,#)% "#&*%/% &:!%#" :!% "% %/,!%/)&/ (#) $%&+# $%
2 $%"7-&,-#/%" %"/$&) ?)-%"3# &#@ %/ % -/$-,&$#) (%"# %$&$\4
E"& 9#)*& $% %()%"-./ $% $&=# "% &,% *" $-9,- *%$-)# %/ +.7%/%" '
&$!#"6 %/ ,!&/# /# %-"%/ ()#3)&*&" $% ,#/)# /!)-,-#/& %"(%,9-,#
(&)& %"#" $#" 3)!(#" $% (#&,-./6 "! ()-/,-(& -$%/-9-,&,-./ "% ,%/)& %/
&" $%*&/$&" $% #" ,#*%$#)%" ,#*!/-&)-#" ,#/ #" :!% "% ,!%/& %/
S&/& F%4
MANTENIMIENTO
U/ /<*%)# -*(#)&/% $% & (#&,-./ :!% "% )%&,-#/& ,#/ & #,&-$&$ %"
& (#&,-./ 9#&/%6 %"(%,-&*%/% 7%/$%$#)%" &*!&/%"6 ()#7%/-%/%"
$% #,&-$&$%" ,#*# B#"& ' E/3&-7 ' (#&,-./ %"!$-&/- $% &" "%$%"
$% %$!,&,-./ "!(%)-#) :!% "% %/,!%/)&/ %/ & #,&-$&$4
L& -/%)7%/,-./ $% )&&+# -/9&/- $% K#"(-& C%/)# O)-%/%6 -$%/-9-,. &
511 /-=#"6 /-=&" ' +.7%/%" )&&+&$#)%"6 ,!'& !-,&,-./ "% $& %/ *&'#)
()#(#),-./ %/ % ,%/)# $% & ,-!$&$ %"(%,-&*%/% %/ L&" P&;&"H &
P%)"%7%)&/,-&6 &" C)!,%"6 #" (&):!%" T%),%) M-%/-#6 S&/&/$%)6 $% &))-#
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 32/36
% R#,#6 P&;#%& $% & M&)-(#"&6 ' T%))&;& P&"%!)4 A" *-"*# "%
()%"%/& %"% -(# $% ()#%*-,& %/ ,#))%$#)%" 7-&%" ,#*# & ,&))%)&
$8,-*&6 ' &" ,&%" 2 ' \C#*# (!%$% #"%)7&)"%4
RECREACIÓN
E/ )%&,-./ & )%,)%&,-./ ' ,!!)&6 % %*(%# $% -%*(# -)% %/ (),-,&" $%
)%,)%&,-./ ' $%(#)% )%:!-%)% $% %"(&,-#" !)&/#" &$%,!&$#"6 (&)& %# %"
/%,%"&)-& & %-"%/,-& $% )%&" $% !"# (<-,# $%"-/&$&" ' %:!-(&$&"
(&)& "&-"9&,%) &%" /%,%"-$&$%"4 I/%)/&,-#/&*%/%6 "% ,#/"-$%)&
/%,%"&)-# ,#*# */-*# !/ )%& $% 10 *%)#" ,!&$)&$#" (#) &-&/%4
L& #,&-$&$ $% S&/& F% ,!%/& ,#/ &()#-*&$&*%/% 140241 *2$%
;#/&" 7%)$%" ,#*# "% %7-$%/,-& %/ % *&(& 6 :!% %:!-7&$)&/ & 6 *2
(#) (%)"#/&6 ,-9)& *!' "-*-&) & %"/$&) -/%)/&,-#/& ' $-"&/% $% &
)%(#)&$& (&)& B#3# ?4*2 (#) &-&/%@ 4 E %"(&,-# )%,)%&-7# $% &
#,&-$&$ %" ,#/"-!-$# &()#-*&$&*%/% (#) (&):!%" $% #"-#6 5
(&):!%" &))-&%"6 )%" (&):!%" ;#/&%" ' )%" (&):!%" *%)#(#-&/#"6 ' $#"
%",%/&)-#" $%(#)-7#"4 E/ % %)%*# "!) $% & #,&-$&$6 %-"%/6 #"
(#-$%(#)-7#" $% L&,%" ' &" ,)!,%"6 9)%,!%/&$&" (#) +.7%/%" )%"-$%/%"6
&$!#" % -/9&/%"4
E/ #" /-=#" ' &" /-=&"6 % "%$%/&)-"*# %" &"#,-&$# ,#/ % -%*(# :!%
"% $%$-,& & 7%) %%7-"-./ ' % !"# $% 7-$%# +!%3#"4 E/ B#3#6 0> $% #"
/-=#"&" %/)% 5 ' 12 &=#" 7%/ %%7-"-./ $!)&/% 2 #)&" . *" & $&4 L&
(#)% &,-7-$&$ 9"-,& :!% )%&-;&/ #" (#&$#)%"6 "% %/,!%/)& %/ ()-*%) !3&) % ()#%*& $% -/"%3!)-$&$ %/ #" $-9%)%/%" (&):!%" ,#/ #" :!% "%
,!%/& ' %/ "%3!/$& -/"&/,-& & #9%)& $%"$% % IDRD :!% /# %"/ &,#)$%
,#/ &" /%,%"-$&$%" %()%"&$&" (#) &" $-"-/&" %&(&" $% ,-,# 7-&4
COMUNICACIÓN
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 33/36
E/ )%&,-./ & )&/"(#)% ' & *#7--$&$6 % %"&$# $% & *&& 7-&6 "%
%/,!%/)& %/ !/ > !%/&6 2> )%3!&) ' > %/ *& %"&$#6 "-%/$# *"
,#"#"# )%(&)&) & *&& 7-& :!% (&"& $% )%3!&) & *& %"&$# :!%)%&--&) & :!% %"&& )%3!&) %" $% $%"&,&) :!%6 (&)& %7&) & ,&# !/
]*4,&))- $% *&& 7-& #,& $% *& %"&$# & !%/ %"&$# "% /%,%"-& 5
*-#/%" $% (%"#"6 (&)& %7&)# $% !/ %"&$# )%3!&) & !%/ %"&$# "%
/%,%"-&/ 501 *-#/%" $% (%"#" ' (&)& *&/%/%) %/ !%/ %"&$# "%
/%,%"-&/ *-#/%"4
E/ & &,!&-$&$ & #,&-$&$ %" )%,#))-$& (#) % S-"%*& T)&/"*-%/-#6 (#) &
A7%/-$& C&)&,&" ' & C&% 16 L& ,#*!/-$&$ )%9-%)% :!% 3)&,-&" & "-"%*&
%" *%/#) % -%*(# $% $%"(&;&*-%/# &,-& % /#)%6 #,,-$%/% ' "!) $% &
,-!$&$6 "-/ %*&)3# %" -*(#)&/% &/&-;&) % -*(&,# ' (%)-/%/,-& $% %"&
#)& (&)& &" ;#/&" $% ,%/)# $% & ,-!$&$ ,#*# S&/& F%4
EDUCACION
R%"(%,# $% I/"-!,-#/%" E$!,&-7&" D-")-&%" ?IED@6 & #,&-$&$ ,!%/&
,#/ ,#%3-#" #9-,-&%" !-,&$#" *&'#)-&)-&*%/% %/ % %))-#)-# "#,-&6
"-%/$# %"&" -/"-!,-#/%"H M&/!% EX-/ P&&))#'#6 C&*-# T#))%"6 P#-,&)(&
"%$% A ' B6 #" P-/#" "%$% B ' C6 A!&" C##*-&/&" S&/ L!" "%$% A ' B6
J#)3% S## $% C#))&6 "%$% A6 "%$% B6 "%$% C4 % V%)+./6 "%$% A6 A/#/-#
J#"8 U)-%6 S&/& I/8" ' !/ ,#%3-# %/ ,#/,%"-./H & G-)&$&4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 34/36
U/& $% &" ()#%*-,&" *&/-9%"&$&" (#) % DILE ?D-)%,,-./ L#,& $%
E$!,&,-./@ (&)& & #,&-$&$6 %" & 9&& $% ,#%)!)& $% "-"%*& %$!,&-7#
%/ /-=#" ' /-=&" *%/#)%" $% &=#"4
L& "%,)%&)-& $% I/%3)&,-./ S#,-& ,!%/& ,#/ #" +&)$-/%" -/9&/-%"6 (%)#"! ,&(&,-$&$ %" -/"!9-,-%/% (&)& ,!)-) & $%*&/$& %/ /-=#" ' /-=&" %/)%
*%"%" ' &=#"4
E > ?2@ $% #& $% & (#&,-./ ,&)&,%)-;&$& %/ ,#/$-,-./ $%
$-",&(&,-$&$ /# &"-"% & %$!,&,-./ )%3!&)6 "-/ %*&)3# #" *%/#)%" $%
:!-/,% &=#" ?1>@ %/ 8"& ,#/$-,-./ "- # &,%/ #"%)7/$#"% $-"*-/!,-./
& *%$-$& :!% &!*%/& & %$&$6 # ,!& %" !/& *!%")& $% & )%$!,,-./ $%
%"(&,-#" $% (&)-,-(&,-./ "#,-& %/ !/& $-*%/"-./ &/ -*(#)&/% (&)& %$%"&))## !*&/# ,#*# # %" & %$!,&,-./4
SEGURIDAD
E/ & E/,!%"& $% C&-$&$ $% V-$&6 "% ()%3!/. (#) & (%),%(,-./ $%
"%3!)-$&$ $% &))-# %/ % :!% "% 7-7% ' #" &-&/%" $% & #,&-$&$
)%(#)&)#/ % "%3!/$# *&'#) /-7% $% -/"%3!)-$&$ (&)& "!" (#&$#)%"4 E"#"% )%&,-#/& $-)%,&*%/% ,#/ :!% "- -%/ %/ & #,&-$&$ "% & #3)&$#
)%$!,-) -/$-,&$#)%" -*(#)&/%" $% "%3!)-$&$6 "% ,#/,%/)&/ ()#%*-,&"
"#,-&%" %/ ;#/&" %"(%,9-,&"6 :!% %7&/ & "%) 7,-*&" $% $-9%)%/%" -(#"
$% $%-#" & :!-%/%" (#) & )&/"-%/4
E/ & #,&-$&$ "% & #3)&$# )%$!,-) %/ !/ 5> &" *!%)%" 7-#%/&"
?(&"&)#/ $% 5 & 116@4 E/ ,!&/# & & &"& (#) ,-%/ *- &-&/%"6 %/
S&/& F% & %/$%/,-& %" *&'#)6 & &+& %" &()#-*&$&*%/% & !/& :!-/&
(&)% ?$% 1 *!%)%" 7-#%/&" & 5 (#) ,&$& ,-%/ *- &-&/%"@4 A!/:!%
"% *!%")& ,-%)& )%$!,,-./ $% #" #*-,-$-#" %/ & #,&-$&$ & &"& $%
#*-,-$-#" "-3!% "-%/$# & *" &&" $% & ,-!$&$4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 35/36
L& #,!(&,-./ $% #" ' &" *%/#)%" )&&+&$#)%" ()%$#*-/& ,#/ &3!/&" $%
&" (%#)%" 9#)*&" $% )&&+#6 ,#/"-$%)&$&" &" (#) #" C#/7%/-#" 1 ' 12
$% & OIT ' C#/7%/,-./ I/%)/&,-#/& $% D%)%,#" $% N-=#6 $% #" 511
/-=#" )&&+&$#)%" ,&)&,%)-;&$#"61 $% %#" "% %/,!%/)&/ 7-/,!&$#" &&,-7-$&$%" $% "%)7-,-#" ' $% %#" & 7%/&" &*!&/%"6 # :!% -*(-,&
-/-,-&) & %"#" /-=#" ' /-=&" %/ % )# $% &$!#" & &$:!-)-) )%"(#/"&--$&$%"
%,#/.*-,&" %*()&/&*%/%6 &$%*" $% -/,)%*%/&)"% % )-%"3# $% "!9)-)
&,,-$%/%" :!% %" (!%$% 3%/%)&) "%,!%&" -*(#)&/%" ' -*-&)#" %/ &"
$-9%)%/%" )%&" $#/$% "% $%"%*(%=&/4
7/18/2019 samirpilarysusana.doc
http://slidepdf.com/reader/full/samirpilarysusanadoc 36/36
Bi!lio)ra,a?"494@4
Bilib4 ?2 $% A)- $% 2012@4 O%/-$# $% B--H(H^^ 4̂--4%"&,!&-$&$#3/#-,-&&)-,!#&"-,%/%&!&
%))&*-%/&"(&)&%&()%/$-;&B&/,# O&/#6 B46 B&/,# N-%#6 L4 ?200@4 C#/%#" ' %")&%3-&" %/ &
)%"#!,-#/ $% ()#%*&" $% ()-*&)-&4 Revista de Didactica de las
Matematicas 6 554
G&,),-& V&,&),% M!=#; R%(-"#6 A46 B&"-#& G#*%; P&#" 6 V46 L#(%;G&),-& 6 C4 ?201@4 L&" TIC %/ % &()%/$-;&+% ,#&#)&-7# %/ % &!&$% P)-*&)-& ' S%,!/$&)-&4 universidad de Huelva 6 104
M#/)#' M!=#;6 J4 I4 ?201@4 L& )%"#!,-#/ $% ()#%*&" *&%*&-,#" ' "!
-*(&,# %/ (%/"&*-%/# ,)--,# $% ,-!$&$&/#4 revistadecooperacion.com6 14
P#'&6 G4 ?1@4 Mathematical discovery. N%^ Y#)XH L&X&#"4
R-7%)#" 6 V4 ?2000@4 A3!/#" 9!/$&*%/#" %.)-,#" $% !"# $% &" TIC (&)& &,#*!/-,&,-./ $% ,#/%/-$#" *&%*-,#" 4 RevicyhLu 6 1154
R#+&" T##"&6 S46 J-*%/%; G#*%;6 46 M#)& M%/$-%&6 L4 C4 ?200@4 E!"# $% & )%"#!,-#/ $% ()#%*&" ,#*# -/")!*%/# (&)& &,&)&,%)-;&,-#/ $% &%/# %/ *&%*&-,&"4 !unes 6 4