You keep my father’s teachings alive and well.
It's such a great lesson, isn't it?
When I follow your teachings nothing goes well.
This is the noun version of the kanji teach. So it means teaching.
Since this word consists of a kanji with hiragana attached, you can bet that it will use the kun'yomi reading. You already learned this reading when you learned 教える, so you should be able to read this word as well.