
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x)= \sqrt {3}\sin ωx\cos ωx- \cos ^{2}ωx+ \dfrac {1}{2}(ω > 0)$, and the axis of symmetry of the graph of $f(x)$ is $x= \dfrac {π}{3}$, with a zero point at $x= \dfrac {π}{12}$ adjacent to the axis.
(I) Discuss the monotonicity of the function $f(x)$ in the interval $\[- \dfrac {π}{12}, \dfrac {5π}{12}\]$;
(II) In triangle $ABC$, the corresponding sides of internal angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively, and $c= \sqrt {3}$, $f(C)=1$. If the vectors $ \overrightarrow{m}=(1,\sin A)$ and $ \overrightarrow{n}=(2,\sin B)$ are collinear, find the values of $a$ and $b$.

Present the answer in LaTex format: \boxed{Your answer}
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