The apostle Paul told Timothy the why of what the two of them were doing. It is the perfect why for every day you spend with your children. In 1 Timothy 1:5, Paul said: 

But the goal of our instruction is
Love from a pure heart
And a good conscience
And a sincere faith.

I pray that your heroic efforts as a homeschooling mama have those same results: love from a pure heart, a good conscience, and a sincere faith.