Georgia Journal of Science

Article Title

The Level Structure of Mathematics: Some Implications


The creation of mathematical concepts and their simultaneous application arose through a set of structures: looking/comparison, counting, rational numbers, real and complex numbers, geometry/trigonometry, algebra, calculus, etc. We refer to this as the “level structure of mathematics (LSOM).” This presentation examines some of the consequences of this characterization and we discuss its implications for the teaching and learning of mathematics. We focus on several issues related to research in the mathematical based sciences, and the impact that LSOM has on enhancing or not the participation of students in STEM fields. Finally, we provide arguments to illustrate that the LSOM is a major cause of the low level of science literacy existing in the general educated public and examine roles that librarians can play in aiding educational professionals in the selection of appropriate text books for all levels of pre-college mathematics courses.

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