
06307169
j
2014d.00680
Boss\'e, Michael J.
Ries, Heather
Chandler, Kayla
Putting the modern in algebra.
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 23, No. 1, 112 (2013).
2013
Taylor \& Francis, Philadelphia, PA
EN
H39
F39
F49
F59
H49
modern algebra
abstract algebra
algebraic structures
teaching secondary mathematics
doi:10.1080/10511970.2012.679384
Summary: Secondary school mathematics teachers often need to answer the ``Why do we do that?'' question in such a way that avoids confusion and evokes student interest. Understanding the properties of number systems can provide an avenue to better grasp algebraic structures, which in turn builds students' conceptual knowledge of secondary mathematics. This paper investigates the number systems from K12 mathematics, discusses the properties held in each, and diagrammatically establishes connections between the number systems and algebraic structures.