
06675836
a
Mcgowen, Mercedes
Examining the role of prior experience in the learning of algebra.
Stewart, Sepideh (ed.), And the rest is just algebra. Cham: Springer (ISBN 9783319450520/hbk; 9783319450537/ebook). 1939 (2017).
2017
Cham: Springer
EN
C35
H25
H35
C45
E45
flexible thinking
prior knowledge
problematic metbefores
remedial mathematics
developmental algebra
function machine
minus sign
doi:10.1007/9783319450537_2
Summary: Widespread emphasis on developing students' algorithmic competency and symbol manipulation has resulted in students failing to think analytically and critically. If students are not encouraged to think flexibly about arithmetic and algebra in school, then this needs to be addressed by developmental courses and tasks designed to change the procedural orientation and superficial, fragmented knowledge of too many of our undergraduate students. Those who teach mathematics at the postsecondary level often dismiss the increasing number of students enrolled in precollege mathematics courses as ``not my problem,'' not realizing that ``just algebra'' is the downfall for many college students. Learning ``just algebra'' is a much more complex task than it appears. In this chapter, prior knowledge will be shown to have become problematic for many students, and we provide evidence of the need to improve the effectiveness of our own teaching and that of our future teachers in ways that help students develop deeper understanding of mathematics and promote mathematical thinking.