The phrase "wind of teaching" means the spreading of knowledge or information from someone who is knowledgeable to others who can learn from them. Full definition
Then we will no longer be infants tossed back and forth by the waves and blown here and there by every wind of teaching and by the cunning and craftiness of men in their deceitful scheming. (nakedpastor.com)
Also read Ephesians 4, «Then we will no longer be infants, tossed back and forth by the waves, and blown here and there by every wind of teaching and by the cunning and craftiness of people in their deceitful scheming. (religion.blogs.cnn.com)
Meanwhile relativism, which is letting oneself be tossed and swept along by every wind of teaching, looks like the only attitude acceptable to modern standards.» (faith.org.uk)