  In the curved spacetime background, the trajectory of a spinning test
particle will deviate from the geodesic. Using the effective potential method,
we study the motion of a spinning test particle on the equatorial plane of a
polymer black hole in loop quantum gravity described by the
Mathisson-Papapetrou-Dixon equations with minimal spin-gravity interaction. We
find that for the bounded orbits in the radial direction, the particle's motion
is timelike when its spin is small. The radial range of the orbit and its
eccentricity decrease with the loop quantum gravity parameter. However, when
the particle takes a large enough spin, we observe an interesting phenomenon
that the timelike and spacelike motions alternately appear while are separated
by a critical radius. Outside the critical radius, the motion is timelike,
however inside it is spacelike, and on the radius $r_c$ it is null. To explore
more observable effects of the loop quantum gravity parameter on the motion of
the spinning particle, we focus our attention on the circular orbits,
particularly the innermost stable circular orbits, near the black hole. The
result shows that for the same spin, there are two different innermost stable
circular orbits, one with a larger radius and the other with a smaller radius.
Both the radii decrease as the loop quantum gravity parameter increases. More
significantly, with the increase of the spin of the particle, the small
innermost stable circular orbit transition from timelike to spacelike, while
the one with large radius does not. Instead, it terminates at a certain value
of spin. All the results present the significant influences of the loop quantum
gravity parameter on the motion of the spinning particles.
