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I am just trying to create a movementcontroller class for game entities. These class should transform the entity affected by the mouse and keyboard input. I am able to calculate the changed rotation and the new globalPosition. Then I multiply:

 newGlobalMatrix = changedRotationMatrix * oldGlobalMatrix;
 newGlobalMatrix = MatrixSetPosition(newPosition);

The problem is that the object rotates around the global axis and not around the local axis.

I use XNAMath for the matrix calculation.

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What you describe sounds like you are applying your local rotation after the global transformation has already been applied.

You need to apply the local transformation first - try flipping the order of multiplication of your matrices.

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