128:@0.020998:0.964932:0.058413:0.964932:0.058413:0.944680:0.020998:0.944680:0.000000:0.000000:0.000000 M.2.1.23. :@0.097512:0.948556:0.160661:0.948556:0.160661:0.935832:0.097512:0.935832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplicar las propiedades conmutativa y asociativa de la adición en estrategias de cálculo mental.:@0.160661:0.948597:0.800150:0.948597:0.800150:0.936134:0.160661:0.936134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Propiedad asociativa de la suma :@0.333794:0.082020:0.869995:0.082020:0.869995:0.052871:0.333794:0.052871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o adición:@0.333794:0.103384:0.481520:0.103384:0.481520:0.074235:0.333794:0.074235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Desequilibrio cognitivo:@0.333794:0.124522:0.509760:0.124522:0.509760:0.108907:0.333794:0.108907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 TEMA 9:@0.132613:0.092707:0.241983:0.092707:0.241983:0.063558:0.132613:0.063558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.542564:0.243511:0.554193:0.243511:0.554193:0.223698:0.542564:0.223698:0.000000 =:@0.546028:0.357417:0.557658:0.357417:0.557658:0.337605:0.546028:0.337605:0.000000 =:@0.608929:0.480128:0.632382:0.480128:0.632382:0.439467:0.608929:0.439467:0.000000 Al sumar tres o más cantidades, se pueden :@0.333320:0.309966:0.910913:0.309966:0.910913:0.285041:0.333320:0.285041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 hacer agrupamientos distintos, y el total :@0.333320:0.332598:0.910833:0.332598:0.910833:0.307673:0.333320:0.307673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siempre es el mismo. Esta propiedad de :@0.333320:0.355229:0.910862:0.355229:0.910862:0.330304:0.333320:0.330304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la suma se llama asociativa.:@0.333320:0.377860:0.736037:0.377860:0.736037:0.352936:0.333320:0.352936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Observa:@0.736037:0.377780:0.865473:0.377780:0.865473:0.352332:0.736037:0.352332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el :@0.865473:0.377860:0.910889:0.377860:0.910889:0.352936:0.865473:0.352936:0.000000:0.000000:0.000000:0.000000:0.000000 ejemplo.:@0.333320:0.400492:0.447960:0.400492:0.447960:0.375567:0.333320:0.375567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 También se utilizan paréntesis para indicar :@0.333320:0.626806:0.910929:0.626806:0.910929:0.601881:0.333320:0.601881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cómo se agrupan las cantidades. Ejemplos::@0.333320:0.649437:0.903167:0.649437:0.903167:0.624513:0.333320:0.624513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En una jarra voy a poner 10 vasos de agua. :@0.331420:0.151206:0.875346:0.151206:0.875346:0.127839:0.331420:0.127839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si primero pongo 2 vasos, luego 3 y :@0.331420:0.172573:0.770160:0.172573:0.770160:0.149206:0.331420:0.149206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 finalmente 5, ¿dará lo mismo si pongo 3 :@0.331420:0.193941:0.826803:0.193941:0.826803:0.170574:0.331420:0.170574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vasos, luego 5 y finalmente 2? (2 + 3) + 5 = 2 :@0.331420:0.215309:0.878817:0.215309:0.878817:0.191942:0.331420:0.191942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + (3 + 5) = (3 + 5) + 2:@0.331420:0.236677:0.588637:0.236677:0.588637:0.213310:0.331420:0.213310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Veríficalo. _________________________________:@0.331420:0.264344:0.867184:0.264344:0.867184:0.240977:0.331420:0.240977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Al sumar tres o más :@0.079851:0.749789:0.294844:0.749789:0.294844:0.729538:0.079851:0.729538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cantidades, estas :@0.089303:0.769910:0.285414:0.769910:0.285414:0.749658:0.089303:0.749658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se pueden agrupar :@0.080003:0.790030:0.294714:0.790030:0.294714:0.769779:0.080003:0.769779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de diferentes formas :@0.080308:0.810151:0.294431:0.810151:0.294431:0.789899:0.080308:0.789899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y el resultado es :@0.100104:0.830271:0.274634:0.830271:0.274634:0.810020:0.100104:0.810020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siempre el:@0.130550:0.850392:0.237895:0.850392:0.237895:0.830141:0.130550:0.830141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mismo.:@0.146448:0.870512:0.221975:0.870512:0.221975:0.850261:0.146448:0.850261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Recuerda siempre:@0.065492:0.694700:0.310506:0.694700:0.310506:0.668790:0.065492:0.668790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.609394:0.573725:0.637538:0.573725:0.637538:0.529192:0.609394:0.529192:0.000000 5 + 4 + 6:@0.482187:0.539996:0.595044:0.539996:0.595044:0.517729:0.482187:0.517729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9 + 6:@0.500924:0.566013:0.592650:0.566013:0.592650:0.543746:0.500924:0.543746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15:@0.527919:0.592203:0.556157:0.592203:0.556157:0.569936:0.527919:0.569936:0.000000:0.000000 5 + 4 + 6:@0.658807:0.539996:0.771665:0.539996:0.771665:0.517729:0.658807:0.517729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 + 10:@0.655477:0.566029:0.747203:0.566029:0.747203:0.543763:0.655477:0.543763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15:@0.705047:0.592203:0.733285:0.592203:0.733285:0.569936:0.705047:0.569936:0.000000:0.000000 (:@0.392414:0.680160:0.403496:0.680160:0.403496:0.656793:0.392414:0.656793:0.000000 242 + 114 + 131 = 242 + 114 + 131:@0.403496:0.680160:0.833949:0.680160:0.833949:0.656793:0.403496:0.656793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.519891:0.680160:0.530973:0.680160:0.530973:0.656793:0.519891:0.656793:0.000000 (:@0.706471:0.680160:0.717553:0.680160:0.717553:0.656793:0.706471:0.656793:0.000000 ):@0.833949:0.680160:0.845030:0.680160:0.845030:0.656793:0.833949:0.656793:0.000000 356:@0.487551:0.704055:0.530973:0.704055:0.530973:0.680688:0.487551:0.680688:0.000000:0.000000:0.000000 + 131 = 242 + :@0.530973:0.704055:0.706471:0.704055:0.706471:0.680688:0.530973:0.680688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 245:@0.706471:0.704055:0.749893:0.704055:0.749893:0.680688:0.706471:0.680688:0.000000:0.000000:0.000000 487 = 487:@0.560524:0.727950:0.676920:0.727950:0.676920:0.704583:0.560524:0.704583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 200 + 300 + 400 = 200 + 300 + 400:@0.388795:0.775721:0.837567:0.775721:0.837567:0.752354:0.388795:0.752354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.396033:0.775721:0.407114:0.775721:0.407114:0.752354:0.396033:0.752354:0.000000 ):@0.523510:0.775721:0.534592:0.775721:0.534592:0.752354:0.523510:0.752354:0.000000 (:@0.710090:0.775721:0.721171:0.775721:0.721171:0.752354:0.710090:0.752354:0.000000 ):@0.837567:0.775721:0.848649:0.775721:0.848649:0.752354:0.837567:0.752354:0.000000 500:@0.487551:0.799616:0.530973:0.799616:0.530973:0.776249:0.487551:0.776249:0.000000:0.000000:0.000000 + 400 = 200 + 700:@0.530973:0.799616:0.749893:0.799616:0.749893:0.776249:0.530973:0.776249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 900 = 900:@0.560524:0.823511:0.676920:0.823511:0.676920:0.800144:0.560524:0.800144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.607867:0.847406:0.622341:0.847406:0.622341:0.824039:0.607867:0.824039:0.000000:0.000000 200 + 300 + 400 = 200 + 300 + 400:@0.392414:0.871301:0.845030:0.871301:0.845030:0.847934:0.392414:0.847934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.465387:0.871301:0.476469:0.871301:0.476469:0.847934:0.465387:0.847934:0.000000 ):@0.592865:0.871301:0.603947:0.871301:0.603947:0.847934:0.592865:0.847934:0.000000 (:@0.633498:0.871301:0.644579:0.871301:0.644579:0.847934:0.633498:0.847934:0.000000 ):@0.760975:0.871301:0.772057:0.871301:0.772057:0.847934:0.760975:0.847934:0.000000 200 + :@0.483932:0.895196:0.556906:0.895196:0.556906:0.871829:0.483932:0.871829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 700:@0.556906:0.895196:0.600328:0.895196:0.600328:0.871829:0.556906:0.871829:0.000000:0.000000:0.000000 = :@0.600328:0.895196:0.637116:0.895196:0.637116:0.871829:0.600328:0.871829:0.000000:0.000000:0.000000:0.000000 500:@0.637116:0.895196:0.680538:0.895196:0.680538:0.871829:0.637116:0.871829:0.000000:0.000000:0.000000 + 400:@0.680538:0.895196:0.753512:0.895196:0.753512:0.871829:0.680538:0.871829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 900 = 900:@0.560524:0.919091:0.676920:0.919091:0.676920:0.895724:0.560524:0.895724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sí da lo mismo.:@0.457261:0.264275:0.642459:0.264275:0.642459:0.240908:0.457261:0.240908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000