
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 sets $A=\{y\mid y=x^{2}- \frac {3}{2}x+1,x\in[ \frac {1}{4},2]\}$ and $B=\{x\mid x+m^{2}\geqslant 1\}$, proposition $p$: $x\in A$, proposition $q$: $x\in B$. If proposition $p$ is a sufficient condition for proposition $q$, find the range of values for the real number $m$.

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