id: 06589213
dt: j
an: 2016c.00635
au: Fasteen, Jodi; Melhuish, Kathleen; Thanheiser, Eva
ti: Multiplication by $10_{\text{five}}$: making sense of place value structure
through an alternate base.
so: Math. Teach. Educ. 3, No. 2, 83-98 (2015).
py: 2015
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: F39 F29
ut: alternate bases; place value; preservice teachers; whole numbers; natural
numbers; counting numbers
ci:
li:
ab: Summary: Prior research has shown that preservice teachers (PSTs) are able
to demonstrate procedural fluency with whole number rules and
operations, but struggle to explain why these procedures work.
Alternate bases provide a context for building conceptual understanding
for overly routine rules. In this study, we analyze how PSTs are able
to make sense of multiplication by $10_{\text{five}}$ in base five.
PSTsâ€™ mathematical activity shifted from a procedurally based
concatenated digits approach to an explanation based on the structure
of the place value number system.
rv: