with hints and examples for applying
new concepts and algorithmic techniques,
thus providing the scaffolding
for learning. For example, the decimal
division problem 0.6 + 3 is made clear
by showing six dimes (each equaling
one 10th of a dollar) split into three
equal groups. There are two dimes in
each group, so six 10ths divided
into three groups equals two l0ths:
0.6 - 3 = 0.2. The lesson then asks
students to extend this concept to more
complex decimal division problems,
such as 2 + 4. Here students are given
another hint-a cartoon character
thinking "2 is 20 10ths." The students,
having been led to discover how loths
can be divided into groups, can now
make another discovery and express
whole numbers in terms of 10ths.