Since these payments are directly related to your main work or career (teaching), you will have to report them as "business income" on Schedule C - Profit or Loss from Business. This is the only place you can properly report payments made to you on Form 1099-NEC.
Any net profit from Schedule C is subject to both income tax and employment taxes. If you use the online TurboTax Self-Employed program (Home & Business if CD/Download), you can claim the expenses you incurred to generate this income. Examples of those expenses would be meeting, workshop or conference fees, mileage to attend those event and supplies.
How to File Taxes with IRS Form 1099-NEC
By using the online TurboTax Self-Employed program (or Home & Business CD/Download), you can claim expenses and eliminate or reduce any tax due on the Form 1099-NEC income.
