She received a biology degree from Tufts University, in 1956. She studied bacterial genetics and bacterial viruses with Salvador Luria and Max Delbrück at the Cold Spring Harbor Laboratory. She later studied with Elliott Coleman at the Johns Hopkins University Writing Seminars where she received an M.A. in 1970. She has worked in the Department of Neurophysiology, at Yale University School of Medicine, where she studied frontal lobe function and delayed response memory in Rhesus monkeys.
Sklarew is the author of three chapbooks, and six collections of poetry. From 1987 to 1991, she served as president of the Yaddo artist community. Her poems are in the Contemporary Poets Archive at the Library of Congress.
In 1961, she moved to Washington, D.C. and began teaching at American University. Sklarew is currently emerita professor of literature in the writing program at American University. Her papers are in the University of Maryland Archives.
- Holocaust and the Construction of Memory (SUNY Press, forthcoming)
- If You Want to Live Forever Chapbook, 2012 in Ashes Caught on the Edge of Light, Winterhawk Press
- Harmless (Mayapple Press, 2010) ISBN 9780932412898
- The Journey of Child Development: Selected Papers of Dr. Joseph Nospitz, Routledge 2010, co-editor with Bruce Sklarew
- Over the Rooftops of Time: Jewish Stories, Essays, Poems (SUNY Press, 2002) ISBN 9780791455753
- The Witness Trees: Poetry and Essays (Cornwall Books, 2000) ISBN 9780845348901
- Lithuania: New & Selected Poems (Azul Editions, 1995, 1997) ISBN 9781885214027
- Like a Field Riddled by Ants (Lost Road Publishers, 1987) ISBN 9780918786364
- Altamira (Washington Writers Publishing House, 1987) ISBN 9780931846304
- The Travels of the Itinerant Freda Aharon, Watermark Press 1985 Chapbook
- The Science of Goodbyes (University of Georgia Press, 1982) ISBN 9780820306032
- From the Backyard of the Diaspora (Dryad Press, 1981) ISBN 9780931848407
- In The Basket of the Blind (Cherry Valley Editions, 1975)
- "Myra Sklarew papers". UMD Archives. February 2011. Retrieved August 15, 2011.
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