If you are offered a matching contribution from your school with the TDA, be sure to take advantage of that. It's essentially a guaranteed return that you can hardly get elsewhere.
Then assuming that your income is within the IRA deductible limit, the choice depends on investment options. With TDA, your investment choices are often very limited. You would be able to access a much wider variety of investment products with an IRA and can potentially lower the fees. So if you're not happy with the returns or fees that come with the TDA investment options, max out the IRA contributions first.
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