
06184980
j
2013d.00355
Griffiths, Martin
Studentled precursors to formal proofs.
Math. Sch. (Leicester) 41, No. 3, 23 (2012).
2012
Mathematical Association (MA), Leicester
EN
E50
F30
F60
proving
justifying
mathematical explorations
discovery learning
openended problems
number theory
divisibility
integers
manipulation of expressions
factorization
polynomials
modular arithmetic methods
proofs
A personal narrative is presented which explores the author's experience of teaching a mathematics masterclass for year 10 students. From the introduction: In this article we look at just one of the problems tackled by the students that day, and highlight the variety of informal proofs that it led to. In relating this interesting experience of mathematics teaching and learning, the author hopes that readers might be encouraged to use some of these ideas with their own classes. The problem was as follows: If $n$ is an integer, then what can you say about $\frac{n^3}{6}+\frac{3n^2}{2}+\frac{13n}{3}+4$?