My goal on this page is to provide provide some original sources and reports of research.
VOCABULARY IN MATH
The following article by Riccominin, et. al. does and excellent job of establishing the need to teach vocabulary as part of mathematics instruction. However, their suggested methods of performing such vocabulary instruction is completely ignorant of the present day knowledge about teaching and learning as provided by cognitive science.
Paul J. Riccomini, Gregory W. Smith, Elizabeth M. Hughes & Karen M. Fries (2015) The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary, Reading & Writing Quarterly, 31:3, 235-252, DOI: 10.1080/10573569.2015.1030995 HERE
Edwards, Barbara and Ward H. Ward (2001). The role of Mathematical Definitions in Mathematics and in Undergraduate Mathematics Courses. HERE
Memorization versus Understanding
Mayer, R.E. (2004). Should there be a three-strikes rule against pure discovery learning? The case for guided methods on instruction. American Psychologist, 59(1), 14-19.