Can
Organize in Complex Ways
Mathematical skills such
as combinations and associations become clear to a child in this phase
of
development.
For example children in this stage can pick out the highest note in a
melody once he or she has been able to establish the relationship
between high and low. (Schmitt, 1976)
Groupings
During the concrete-operational stage students can begin to
group things together in order to understand their relationship with
one another. For example, the student can group an electronic
keyboard, and organ and a piano into one group of keyboard instruments,
or strings, woodwinds, brass and percussion into a group of orchestra.
Wiggins &
Bodoin, (1998) researched teaching and learning in a second grade
general music classroom.
The teacher encouraged the
children to find their
own solutions to the problems and found it to be a very successful
method.
"Mrs.
Bodoin: If you play it like this, it's easier to keep a steady beat
that's slow.
[Everyone tried some claps with
large exaggerated motions.] Use a bigger space. We'll
start together. Everybody, try
it with me. [ They all clapped the "big beat" as they sang
the song.] We had a few
problems. Joan, how do you solve the problem of your
hands hurting? How can you stop
that problem?
Joan: Clap soft.
Mrs. Bodoin: Yes. Clap
soft. That's a problem you can easily solve. Joshua, how do
we solve the problem of not
being together? How can we do that?
Amy: By listening to the
other people and clapping with them?
Mrs. Bodoin: Oh. What a
wonderful idea! What did she say, Anandi? By listening to
the other people. How do we
solve the problem ... Evan ... of bumping into people?
Another student: By
doing it in a big, wide circle.
Amy: You mean like an
oval. An oval.
Mrs. Bodoin: Instead of
wide, go up like an oval. Absolutely. Everyone together
again. Put your book on your
lap or on the floor.... Let's try it. Gently. ... Here's
the tempo: 1, 2, ready, go
[spoken rather slowly, in the tempo of the song; they all clapped
and sang the song.]
Mrs. Bodoin: Rebecca.
That was gorgeous! Everybody, would you say that pattern
while you clap.
By putting the onus on the
children to come up with ways to solve the
problems, Karen helped them to
succeed in the activity." ( Wiggins & Bodoin, 1998 p.287)