Be willing to move, too. I'm not sure what the climate of teaching jobs is in Alberta, but coming from Ontario, it was obvious to me that I would have to leave to get a job. I have colleagues that have tried to stay in Thunder Bay and some are only now getting a full time gig (10+ years later). Some larger centres (Winnipeg, Saskatoon) are hard to get gigs right out of university. You may have to teach in a rural or northern school to get your feet wet.
Stay at least 2 years (you want to make it clear that the school wanted you back for the second year) and then go from there.
While your preference is not to teach mathematics, embrace your education!! It will give you a leg up especially if you are in a smaller school where there are no math specialists (Disclaimer: This is coming from a secondary math teacher).
The profession is a ton of work, but the rewards are great (even if you don't know what impact you play on students' lives most of the time). I'm happy to say that most of the time I don't feel like what I do is work. It's fun.
And when you get involved in a school (as a volunteer, part time employee or starting out as a teacher), volunteer with your wide spectrum of interests. The more you do, the more it will make you invaluable to the school and that's huge if you're trying to land a full time job or keep one (and get a permanent job).
One final note: With your education, you can tutor secondary mathematics easily (and probably a lot of other things). It gives you wonderful experience in a one-on-one environment (not always possible in a classroom for a sustained amount of time) and allows you to get experience with teaching academic subjects. In my experience, math is probably the most highly sought after subjects for tutoring as most people have a fear of it due to a lack of confidence.
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