The second derivative, is more than 0 wherever the function is concaved up. It is less than 0 when it is concaved down.
Below is an image from http://clas.sa.ucsb.edu/staff/lee/inflection%20pt%20x%5E3.gif
that helps to explain it.
This can be quite hard to understand so I assume
Concaved up - slope is getting more positive
Concaved down - slope is getting less positive.
Recognizing concavity exercise:
To understand more on this, here is another video about concavity
Concavity, concave upwards and concave downwards intervals:
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