Jim Said:

What's more important here, method or submission to elders?

We Answered:

That's a tough one....you might want to get her to sit down and talk with you....explain that you would like to try your new ideas....if it doesn't work, you could go back to her old method. Speak to her respectfully, and let her know that you value your experience.
I've been teaching a long time, and sometimes when a newbie suggests an idea...my first reaction is to reject it....but I have learned some fresh new ideas from people who just came into teaching....we 'old' ones just need a little push to convince us to try it.

Lauren Said:

What are the tips/strategies in doing co-teaching in ESL with a non-native English teacher?

We Answered:

focus on each person's strengths.
Meaning, review the subjects which need to be covered and distribute the topics according to each person's comfort level.
While one is rolling-out the material, the other person can facilitate group work, and reinforce ideas being brought up by the other teacher.