TY - JOUR
PY - 2016
SN - 1887-3987
N1 - 1887-3987
T2 - PNA
VL - 10
IS - 3
TI - Curricular approaches to connecting subtraction to addition and fostering fluency with basic differences in grade 1
UR - http://www.pna.es/Numeros2/pdf/Baroody2016PNA10(3)Curricular.pdf
PB - Grupo FQM
DA - 2002/09/01
KW - Fact fluency
KW - Learning trajectories
KW - Part-whole relations
KW - Primary-grade mathematics curricula
KW - Subtraction-as-addition strategy
AU - Baroody, Arthur
SP - 161-191
LA - English
AD - University of Illinois at Urbana-Champaign and the University of Denver
M3 - Research paper
AB - Six widely used US Grade 1 curricula do not adequately address the following three developmental prerequisites identified by a proposed learning trajectory for the meaningful learning of the subtraction-as-addition strategy (e.g., for 13 – 8 think “what + 8 = 13?”): (a) reverse operations (adding 8 is undone by subtracting 8); (b) common part-whole relations (5 + 8 and 13 – 8 share the same whole 13 and parts 5 and 8); and (c) the complement principle in terms of part-whole relations (if parts 5 and 8 make the whole 13, then subtracting one part from the whole leaves the other part).
ER -