Pensions received from any federal, state, or local government are considered public pensions. Pensions that are not government issued (e.g. Individual Retirement Accounts [IRAs]) are generally considered private. 

In most states public school pensions are a defined benefit retirement plan. In these plans, your pension is tied to a formula that calculates a monthly defined benefit based on years of service in that retirement system and a final average salary.

If you receive this type of pension, then it is not considered a private-sourced pension. It is advised that you consult with your plan administrator for a definitive answer.

[Edited February 20, 2019 | 1:30 pm]