Are online and blended learning recognized as evidence-based practices?

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Yes.

Meta Analysis

U.S. Department of Education, Office of Planning, Evaluation, and Policy Development (2009), Evaluation of Evidence-Based Practices in Online Learning: A Meta-Analysis and Review of Online Learning Studies. Washington, D.C.

The meta-analysis found that, on average, students in online learning conditions performed better than those receiving face-to-face instruction.

Meta Analysis

Means, B, Toyama, Y., Murphy, R., Baki. M. (2013). The Effectiveness of Online and Blended Learning: A Meta-Analysis of the empirical literature. Teachers College Record, 115 (3), 1–47.

The meta-analysis found that, on average, students in online learning conditions performed modestly better than those receiving face-to-face instruction.

Meta Analysis

Bernard, R.M., Abrami, P.C., Lou, Y., Borokhovsk, E., Wade, A., Wozney, L., Wallet, P.A., Fiset, M., and Huang, B. (2004). How Does Distance Education Compare with Classroom Instruction? A Meta-Analysis of empirical literature. Review of Educational Research, 74(3), 379–439.

Effect sizes for asynchronous applications favored distance education.

Effect sizes for synchronous applications favored classroom instruction.