Nikon D3000 has a 10.0MP APS-C (23.6 x 15.8 mm ) sized CCD sensor and features Expeed processor. On the other hand, Nikon D3200 has a 24.0MP APS-C (23.2 x 15.4 mm ) sized CMOS sensor and features Expeed 3 processor. Nikon D3200's sensor provides 14MP more than Nikon D3000's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the D3000 and D3200 sensor size comparison.
Nikon D3000 and Nikon D3200 have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.