Goldberg began his academic teaching career in 1972 as a lecturer in Earth Science at Kingsborough Community College.
In the summer of 1978 Goldberg, worked with director Y. Shiloh at the City of David dig in Jerusalem focusing on geology of Hellenistic sediments.
From 1992 to 1995 Goldberg did field research with directors F. Grine and R. Klein in the area of geology, with a focus on micromorphology and stratigraphy in the Die Kelders Cave in South Africa.
From May 1996 to 1997, Goldberg worked with O. Bar-Yosef and Steve Weiner in studying the micromorphology of the sediments from the Zhoukoudian Cave in China.
From August 1999 to 2002 Goldberg and director N. Conrad worked on microstratigraphy and micromorphology in the Upper Palaeolithic Hohle Fels and the Geissenklösterle Caves in Germany.
In January 1980 Goldberg and SUNY-Stony Brook graduate student, Jenna Cole, conducted research on the micromorphology and microstratigraphy from the Middle Stone Age in the Blombos Cave in South Africa with the director, Dr. C. Henshilwood.
In August 2001, Goldberg studied with D. Adler and O. Bar-Yosef on geoarchaeology during the Palaeolithic era and attended digs in the Republic of Georgia at Ortvale Klade, Dzudzuana.
In November 2005, O. Bar-Yosef and S. Weiner worked on the dig of microstratigraphy of the Early Neolithic Era at Yuchanyan, Hunan Province in China.
In August 2006, Goldberg and director Enrique Baquedano collected micromorphological components during a Middle Palaeolithic dig at Pinilla del Valle in Spain.
He worked with O. Bar-Yosef on the Symposium on Site-Formation Processes for Society for American Archaeology Meeting in New Orleans, Louisiana during April 1991.