strive toward (something)
To put forth a great and tenacious effort in order to achieve or approach some particular goal. You should always strive toward excellence, but striving toward perfection is a fool's errand. I'm striving toward a 4.0 this semester, but it's going to be tough.
strive toward something
to work toward a goal. DI always strive toward perfection. Mary strove toward doing her best at all times.