Sircar, Swati and Titus, Sneha
(2019)
Low floor high ceiling tasks - squaring the dots : think into the box.
At Right Angles.
pp. 44-50.
ISSN 2582-1873
Abstract
A square dot sheet has equally spaced dots aligned vertically
and horizontally. Many interesting investigations can
be devised with this simple learning material. We began
with a question that had been posted in the Thinking Skills
PullOut (November 2015): Can you draw a square with just
1 dot inside? The resulting investigation has branched out in
multiple directions; we will explore a few and leave you to try
the rest. As usual, we have designed this investigation in the
Low Floor High Ceiling style in which we welcome explorers
to step easily into the low-floored classroom with fairly easy
questions. As the investigations proceed, the questions get more
challenging and the high ceiling is designed to keep even the
most able students thinking, conjecturing, proving and, in short,
being mathematicians.
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