id: 06211028
dt: j
an: 2013f.00440
au: Bradford, Nigel
ti: Algebra isnâ€™t always helpful.
so: Math. Sch. (Leicester) 41, No. 4, 40-41 (2012).
py: 2012
pu: Mathematical Association (MA), Leicester
la: EN
cc: F63 H23 G23
ut: squares; dot diagrams; square numbers; cube numbers; factors;
factorization; sum of cubes; triangle numbers; elementary algebra;
visualization; diagrammatic justification; mathematical language; lower
secondary; geometrical patterns; number patterns
ci:
li:
ab: Summary: The author seeks help from readers as he investigates a
geometrical explanation of the link between the sum of the cube numbers
to the $n$th cube and the square of the $n$th triangular number. He
discusses the part of a problem involving cube numbers where algebra
was not helpful. He describes how the problem was intended for year 8
students and his consideration of using a dot diagram to explore the
problem. The need to take care when using closely related terminology
such as factors and factorizing is addressed. The careful use of the
language associated with algebra is also cited.
rv: