This part of chapter 1 is a warning against associating with (ie., stay off their path) those who would do evil (seek gain at the expense of others).
v.8-9 The son (ie., the one to whom instruction is directed) is told to listen to (obey) his father’s (and mother’s) instruction/teaching. v.9 provides the motivation, namely the promise of reward (using the metaphor of jewelry) for listening to the instruction.
v.10-14 The instruction of the parents — stay away from sinners (don’t consent when they entice you). The picture is of a (violent) gang of lawbreakers who prey upon (and even kill) members of their society.
v.15-19 Using the metaphor of a “path”, the parents warn their son to keep his feet off the gang’s path (for they “run to evil”). The motivation given is that the gang’s activities will lead to their own destruction. Violence (and greed) becomes its own trap. The proverb (v.17) indicates that we fall into the trap only when we don’t realize it is a trap. We learn wisdom so as to recognize the traps.
Note that we all (men, women, young, and old) need to listen to the voice of this father (and mother) as they provide instruction to their son. Two paths are illustrated, one leading to death and the other (by implication) leading to life. The son will listen to the words of wisdom or the words of sinners and choose a path based on whom he believes. Think about the messages you hear in society in order to discern the outcomes.