TY - JFULL AU - Alexander Y. Vaninsky PY - 2011/6/ TI - Theory of Fractions in College Algebra Course T2 - International Journal of Mathematical and Computational Sciences SP - 733 EP - 742 VL - 5 SN - 1307-6892 UR - https://publications.waset.org/pdf/3988 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 53, 2011 N2 - The paper compares the treatment of fractions in a typical undergraduate college curriculum and in abstract algebra textbooks. It stresses that the main difference is that the undergraduate curriculum treats equivalent fractions as equal, and this treatment eventually leads to paradoxes and impairs the students- ability to perceive ratios, proportions, radicals and rational exponents adequately. The paper suggests a simplified version of rigorous theory of fractions suitable for regular college curriculum. ER -