By that definition, I would be considered more on the digital native end of the spectrum with technology integrated into my schooling and experiences at times, though not fully. Technology played a large role in my educational upbringing in university. My students therefore be digital natives as they have always grown up surrounded by technology with access to technology.
For me, I believe those labels don't belong in education. Rather I believe the focus should be more on growth mindset and the willingness to learn. No student or educator will ever know all there is when it comes to technology. It is important to have a growth mindset rather than a fixed mixed as an approach to learning.
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A growth mindset as an educator allows you to be open-minded to new ideas and concepts. Educators with a growth mindset enjoy trying to challenge their thinking and push boundaries beyond their current knowledge. An educator with a growth mindset continues to problem solve with resiliency until they are able to come to a suitable solution. 'Not possible' is not the answer, rather an opportunity to try something new.
When we stop worrying about failing or looking silly for trying, we can allow ourselves the ability to explore a technology to understand it and find deeper and more meaningful uses of it within our classrooms.
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Prensky, M. (2001). Digital natives, digital immigrants part 1. On the Horizon, 9(5), p. 1-6. http://dx.doi.org/10.1108/10748120110424816