Hodge-Zickerman, A., York, C. S., & Lowenthal, P. R., (2021). Teaching mathematics education online: Instructional theories, strategies, and technologies. In K. Hollebrands, R. Anderson, & K. Oliver (Eds.), Online learning in mathematics education (pp. 1-20). Springer. https://doi.org/10.1007/978-3-030-80230-1_1
This overview chapter provides an introduction to instructional theories, strategies, and technologies that can guide teachers new to teaching mathematics (both content and methods) online in a formal online classroom setting. We begin by discussing different types of online learning environments, including synchronous, asynchronous, bichronous, and HyFlex environments. We then focus on different theories, such as cognitive apprenticeship, individualized/personalized instruction, social learning, and inquiry-based mathematics education theories. After that, we focus on some common technologies and strategies, such as think/pair/share, student groups, whiteboards, discussion boards, and more that someone new to teaching mathematics teachers online may use to engage learners.
Keywords: Online learning, Mathematics, Instructional theory, Pedagogy, Technology, Learning strategies, Learning environments, Cognitive apprenticeship, Personalized learning, Social learning, Inquiry-based learning, Problem-based learning, Communities of practice, Situated learning, Situated cognition
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