INVESTIGACIÓN DIDÁCTICA

EL ESTUDIO TEÓRICO LOCAL DEL DESARROLLO DE COMPETENCIAS ALGEBRAICAS # Filloy, Eugenio1; Puig, Luis2 y Rojano, Teresa1 K

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3. EL PROCESO DE RESOLUCIÓN ALGEBRAICO DE UN PROBLEMA VERBAL: EL COMPONENTE DE COMPETENCIA

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ENSEÑANZA DE LAS CIENCIAS, 2008, 26(3)

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4.2. Sobre la resolución de problemas \('(#$*$-,.4#7(';#7+"%45$'$-+%;#$"&'$#-172+%;#&'$%#-$'$"74(%# .=347(%# 01$#(7&9("#7+-+#5$%7'4,74+"$%#5$#.(%#&'("%>+'-(74+"$%# 5$# .(%# g%4&1(74+"$%# ,+%4).$%h# 2(%&(# ..$3('# (# 1"(# 01$# %$# '$7+"+7$#7+-+#.(#%+.174="#5$.#,'+).$-(A#F#$%&$#-(-4.4(%# 5$# ,'+).$-(%A# l+# %$# 7+"#$'$# 1"# %$"&45+# (.#B(-4.4(%# 5$#,'+).$-(%A

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INVESTIGACIÓN DIDÁCTICA VFJBpViSF;#•ACA#UKYvjaA#\'+7$%%$%#+>#("(.@%4%#("5#%@"&2$G ### %4%#4"#&2$#%+.1&4+"#+>#('4&2-$&47#,'+).$-%;#$"#V4.,(&'47E;#wA;# H4'%N1,;#CA;#d$3.$;#!AzA#@#H4.%+";#wA#U$5%AaA#Soviet Studies in the Psychology of Learning and Teaching Mathematics. Vol. XI. Analysis and Synthesis as Problem Solving Methods;# ,,A#KGKvKA#f&(">+'5;#MFk#lMbBA VC!`Fl;#MA#UKYZ^aA#b2$#4"&$','$&(&4+"#+>#&2$#$01(.#%43"k#f@-)+.# >+'#("#$0148(.$"7$#'$.(&4+"#8%A#("#+,$'(&+'#%@-)+.;#$"#V(',.1%;# `A#U$5AaA#Proceedings of the Fourth Conference of the International Group for the Psychology of Mathematics Education;#,,A# Kx_GKxYA#d$'E$.$@;#M(.4>+'"4(;#RfFk#R"48$'%4&@#+>#M(.4>+'"4(A

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INVESTIGACIÓN DIDÁCTICA

Local theoretical study of the development of algebraic competence Filloy, Eugenio1; Puig, Luis2 y Rojano, Teresa1 K #L$,('&(-$"&+#5$#B(&$-?&47(#!517(&48( M$"&'+#5$#C"8$%&43(74="#@#5$#!%&154+%#F8("N(5+%;#B#+1'%#4"#D2472#&2$#"$$5# &+# 4"&$','$&# 1"("&474,(&$5# ,2$"+-$"(# +)%$'8$5# 4"# $-,4'47(.# %&154$%#+"#&2$#&'("%4&4+"#&+D('5#(.3$)'(47#&2+132+"517&$5#4"# &2$#KYZ^%;#&'433$'$5#(#.+"3G&$'-#'$%$('72#,'+3'(-#&2("#&1'"# .$5#&+#(#&2$+'$&47(.#>+'-1.(&4+"#&2(&#$-,2(%4N$%#.+7(.#("(.@%$%A b+# 4..1%&'(&$# &2(&# $O,$'4$"7$;# 4"# &2$# #'%&# %$7&4+";# D$# )'4$#@# $O(-4"$# (# 7+1,.$# +># $O(-,.$%# +># 54(.+31$%# &2(&# &++E# ,.(7$# 51'4"3# 7.4"47(.# 4"&$'84$D%# +># &2$# %&15@# Operating on the unknown;# 4"# D2472# %172# 1"("&474,(&$5# ,2$"+-$"(# (,,$('$5# 4"#&'("%.(&4"3#(.3$)'(47#.("31(3$#&+#"(&1'(.#.("31(3$#("5#847$# 8$'%(A#H$#%&'$%%#&2$#>(7&#&2("#&2$%$#$O(-,.$%#D2$"#%&15$"&%# '$(5#(.3$)'(47#$O,'$%%4+"%#+'#&2$@#('$#(%E$5#&+#D'4&$#&2$-;#&2$@# &$"5# &+# 1%$# -$("4"3%;# D2472# 7+-$# >'+-# ('4&2-$&47# +'# >'+-# "(&1'(.#.("31(3$A H$#,'$%$"&#&2$#&D+#7$"&'(.#&$'-%;#ƒ-(&2$-(&47(.#%43"#%@%&$-%„# UBffa#("5#ƒ.+7(.#&2$+'$&47(.#-+5$.%„#UJbBa;#+>#+1'#&2$+'$&47(.# 7+"%&'17&4+"#&+#5$(.#D4&2#%172#,2$"+-$"(;#D2472#$"().$#1%#&+# ("(.@%$# &2$# 4"&$''$.(&4+"%# )$&D$$"# (.3$)'(47;# ('4&2-$&47# ("5# "(&1'(.# .("31(3$%;# &'$(&4"3# &2$# &2'$$# +># &2$-# (%# %@%&$-%# +># %43"%A C"# &2$# %$7+"5# %$7&4+"# +># &2$# ,(,$';# D$# (.%+# )'4$#@# ("(.@%$# V4'%2"$'I%;# L'+12('5I%# ("5# `(5>+'5I%# (,,'+(72$%# &+# &2$# ("(.@%4%#+>#(.3$)'(#(%#(#.("31(3$;#D2472#1%$%#54%74,.4"$%#%172# (%#.4"314%&47%;#%$-4+&47%#("5#&2$#24%&+'@#+>#-(&2$-(&47(.#45$(%A# H$#%&(&$#&2(&;#%4-4.('.@;#JbBI%#(,,'+(72#4"7+',+'(&$%#$.$-$"&%# >'+-# %$-4+&47%# ("5# 24%&+'@;# ("5# %&'$%%# ,'(3-(&47%;# .$(54"3# &+# (#%&15@#+>#-$("4"3#4"#1%$#4"%&$(5#+>#>+'-(.#-$("4"3A#e$"7$;# +1'# "+&4+"# +># Bff# 4%# )'+(5# $"+132# &+# 7+"%45$'# (%# Bff;# %43"# %@%&$-%# +'# %43"# %@%&$-# %&'(&(# ,'+517$5# )@# %&15$"&%# 4"# +'5$'# &+# 348$# -$("4"3# &+# D2(&# 4%# ,'$%$"&$5# &+# &2$-# D4&24"# (# &$(724"3# -+5$.;# $8$"# D2$"# %(45# %@%&$-%# ('$# 3+8$'"$5# )@# 7+''$%,+"5$"7$%# &2(&# 2(8$# "+&# )$$"# %+74(..@# $%&().4%2$5;# )1&# &2(&#('$#'(&2$'#454+%@"7'(&47A b2$#"+&4+"#+>#Bff#,.(@%#("#$%%$"&4(.#'+.$#4"#U.+7(..@a#5$#"4"3# &2$#7+-,+"$"&%#&2(&#-(E$#1,#&2$#JbBk#Ka#teaching models[#Pa# models for cognitive processes[#_a#formal competency models;# D2472#%4-1.(&$%#&2$#,$'>+'-("7$#+>#("#45$(.#1%$'I%#+>#(#BBf[# ("5#]a#communication models;#4"#+'5$'#&+#5$%7'4)$#&2$#'1.$%#+># 7+--1"47(&48$#7+-,$&$"7@;#&$O&#>+'-(&4+"#("5#5$7+54#7(&4+";# ("5#7+"&$O&1(.#("5#74'71-%&("&4(.#54%(-)431(&4+"A C"#&2$#&24'5#%$7&4+";#D$#,'$%$"&#%+-$#$.$-$"&%#+>#&2$#7+-,$&$"7$# -+5$.#+>#&2$#(.3$)'(47#%+.84"3#+>#D+'5#,'+).$-%;#$.()+'(&$5#)@# $O(-4"4"3#4"#&2$#24%&+'@#+>#-(&2$-(&47%#%+-$#8$'%4+"%#+>#&2$# M('&$%4("#B$&2+5;#("5#)@#)'$(E4"3#4+D"#4"&+#%&$,%;#D2472# 7+"%4%"k Ka# &2$# ("(.@&47# '$(54"3# +># &2$# %&(&$-$"&%# +># &2$# ,'+).$-# &+# '$517$#4&#&+#(#.4%&#+>#01("&4&4$%#("5#'$.(&4+"%#(-+"3#01("&4&4$%A

ENSEÑANZA DE LAS CIENCIAS, 2008, 26(3)

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