Which of these is NOT part of the basic method for shifting up?

The correct answer is indeed the choice that mentions accelerating while pressing the clutch and turning towards the driver's side. This action is not a standard part of the basic method for shifting up in manual transmission vehicles.

When shifting up, the process typically involves a few key steps: releasing the accelerator before shifting to allow the gears to engage smoothly without causing strain on the transmission. Using the clutch is essential to disengage the engine, allowing you to change gears without damaging the vehicle’s components. Additionally, deciding the appropriate gear involves monitoring the engine speed, ensuring that the vehicle is in the correct RPM range for a smooth transition to the next gear.

The option regarding pressing the clutch and turning towards the driver's side introduces unnecessary and unrelated actions that do not contribute to the efficient shifting process. Therefore, this choice stands out as not fitting within the established method for shifting up in a vehicle.