The Ludic and Powerful Mayan Mathematics for Teaching
Transcription
The Ludic and Powerful Mayan Mathematics for Teaching
Available online at www.sciencedirect.com ScienceDirect Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 !"# $#%#&'(() *+,+&)- !"#$%& ' .%%'/&'#0!('#0'##/0#' 0 # + ( (10 ## ( &' %% (( / %#/#+1/0#(0)'(%/(#'#/0# #)0/')2%/0/!+$%'+$ (((+ /)/%%(+340 )#)/0//%((%+3#&''( 0/#)+ 3%' 0/ %/#0/(#%// 5###)0+)/'(/#/#%+3(# 0(%%()((('6#7/&84+ 9$.#+#00'"*+ © 2013 The Authors. Published by Elsevier Ltd. % #%0'$./"#$)' $."$/1' Selection and peer-review under responsibility of The Association of Science, Education and Technology-TASET, Sakarya Universitesi, :/$#1'+ Turkey. &'((;0;0+ $&'#(0'#)/0+$'#0+)#/ &'#(+01%< % 5# 0+ )# / % #(0 #) &' '(+ $ ()' / ( 1'/ # &' # % # ) #=&'/>?@;$(%/>A+ +,%5#0(+ +B05#%+ +,#05#%#%((+ -%)#+$+2C< << <?<;42C< << <?+ ( )D+#(+(4 1877-0428 © 2013 The Authors. Published by Elsevier Ltd. Selection and peer-review under responsibility of The Association of Science, Education and Technology-TASET, Sakarya Universitesi, Turkey. doi:10.1016/j.sbspro.2013.12.338 2922 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 E+ B %5# # 0((+ / # ( ()' %(( %/ 0# 0 '+ 3/)#/&'#(0+ 01% + $%((%0/#)#=&)F/ //A/(&'#/() '+ +, %5# 0 ( + +B 0 5# %+ + $ 0 5# %#%((+ E+ B %5# 0((+ ' # 0 ' 1 '# ( %+ 3 %( / #0/ (#%/ 5# + $ (( % #%% ()' #)) 0'G>??)0'&)F>>+ 3 (1 % ? C ?H/ )# <+ 3 (1 )# ?/ )#%) %0 ()0%/ )# H+,'0/ %# %#%((/1)# H/@>+ 3# )# >/ @+ , ) #(0/ %#(+$('#(00'5#1'+ 2923 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 $##0%%/00+3 %(#0H< ?+)#/#(0H<#(/ #(0?)+31(##)#0+3%) /)(+)#?/0#0%#+)#/ ) 0 0' + $/ ) / 0() 0/ )# + ./ 0 % )/ )# + $/ #( #0)#<?+(1#0I#0'#(() #(0#(/#())#?+$(@C?JH<+ 2924 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 30%((#%+3)4(%+*#(1 %#K<+3%##0;/'!'/1 )#@+$/%#5#/)#0'#0/ ('(/#(0#%%+'/%(%%+ 3%0+3%#)#%/5# #(+'/5##(/)#>+3 5# ) #( ( / )# + 3 ( (#%+ $/ % 0 %#+ 3 )#% ) ( )/ )#+")%%+./##) 0+ " )#% ( 0/ ' 0 0( #% ((/)!%+.)/#') ( )+ $ 5# ) % #+ 3 5# )#<+)#?5#%)#+ )#<#2+ 2925 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 #& 2 #(1%##(0/5#(4+3%(%# ( <+ 3 5# )# H <+ $ ( )+ 3 )#%))/)#>+$/()#%0/ '00(#%((/)!%+$#)# /)()2K<J+ 2926 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 #$%. 3 *#%#)+30%#4(+$ '% # ((! # #) () ' )+ 3 (/'((!%#+$'%#('('+ / ( 1' )/ ' ((! # )) #) %# #) #(0(+,/#0('5#+3%##0/ )#<+ '5# # 0/%#4( 0 / )#?+ $/4)'0+$(%#0; )#H+./#0#'%0((#%+3# %0/)#+$#%%#(( #%;)#+,'/#2/)#>+ ! " $%(#%/#+$1 %##(0+ B(/#1/5#+$/ % ( ) 0+ 3 # # 1) (#% ) 01/()/5#+ *#L/)#+3%#(0'#0+ $5#0!(0'40+$04) %0(+30)%%)#(004%/0'05# +$#/%#))#4('( #(0 1) / 0 #% 5# 0+ '/ )'((#%+ 2927 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 3%#/)#+3/'(#%# 5##(+(%((5#(#(/ %+31%(#(0)/ )#+'/(%'#(+ /1#(/)#+3(#)#(05# )4%00'0#(+##(0+/ (%5##(/0#45##(+ '/'#0'#)/)#+5##(/ 4/#((5#10+3)#+$/ 0%/)#<+315# 5#/%0#5##(+'/L # %# # >+ 3 )# ? H/ # 0) ( + ./1#(;)#H/@+3(#)#(0 5#)4%00'0#(+3'0/ )#@+.%45##(+3 ((/#0;)#@+$/0+3 5#0#5#;)#><+3%()0/ #%%5###(;)#<<+ $/ 1 # #(; )# </ <+ 3 (# ) #(0 5#)4%00'0##(+3'0/ )#<+.4#%%5# ##(/)#<+3 /0/((+)#< <+5# ##(/(#0/4'+$##/LJ +H</)#<+ 2928 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 # 3 5# ( ( + $ + B #15#/0#1'(/# #+ * # 5# <+ . ) / % ) ()0;)#<+3%/0#1)5# (#05#+35#0+3' 1 ) 5#/ )# <<+ 3 / 4#%%5#0))#(+3((/ ) ()/ 0+ )#<<<?+. ) # 5#/ L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 2929 #5#+30#'(('%0/#(0 (( + 3 0# () 5# ) %(%+30#)#<H<@+ %)#(0#+3(''04#%% #(/(##'/4%0/)#<>+3 /5#)'05##(/ 4+3((/0+35#)'0 5#+.)/ 4+3(( +)#?+,'/5##(+5#/ '0+$0%#(00/)# 0+(/5#/)#?+$#4<+ $% &'% ( '(% ( $(0##4')((((' 6#7/&4+$#!+ (#))(((/#).0/ (%#'#)=&)F/A+ /'(&' ((%#'+/ $#''1(()+/6# #0"#'1()%%)(&'((+$ ('+$//#)&'((#) #'/)#%)(+$##&'(( 2930 L.F. Magana / Procedia - Social and Behavioral Sciences 106 (2013) 2921 – 2930 '##M+$(((' ''+((' #!6#%'+$#)) ))')(((+ .((/#(#&'((#(( )+'/((!0'1+$#( %+3&'((/#%0(%+ )' &'/'#N/>?@+*!G&'+,##"G(/&84+ $(%/O+"+>+&'.(+0#.(.%)' '/+?+ G/ 8&+>??+*&(7&'/"BG/&84+ &)F/*+,+>>+*&(7'*&'+P/,#/:.&/%+> ?+ &)F/*+,++*PQ#*R.(&'+&((0+.)/*./0 %%+ >+P(/+ &)F/*,++$*&(2&'&(0+"#*) $)+)+%+@< >+/"%F+ &)F/*+,++'0+%((72((7('+":/N0"6#7/&84+