The «or» interpretation means that they have claim to anything you create in connection with the agreement, and also anything that you create during the term of the agreement. (law.stackexchange.com)
The «and» interpretation holds that they have claim to anything that is both created during the period of the agreement and is created in connection with the agreement. (law.stackexchange.com)
School District shall treat any Teacher employed in connection with this Agreement whose teaching position is eliminated at least as favorably as other teachers...» (jonathanpelto.com)