Journal of Mathematics Education © Education for All
December 2010, Vol. 3, No. 2, pp.58-66
Semantics and Syntax: A Theoretical
Model for How Students May Build
Mathematical Mis-Understandings
Robert M. Capraro
Mary Margaret Capraro
William H. Rupley
Texas A&M University at College Station, U.S.A.
In this manuscript we examine the intersection of reading and mathematics
skills to theorize a model that may account for student understandings,
whether they be correct or incorrect. The theoretical model relies on research
from reading, special education, psychology, mathematics, and mathematics
education in the formation of the theoretical framework. By no means is this
manuscript intended to draw conclusions but to propose a synergistic and
interdependent idea to focus researchers from across several disciplines and to
issue a challenge to rigorously explore the model in various contexts with
broad levels of implementation.
Key words: intersection of reading and mathematics, synergistic and
interdependent ideas, teaching and learning.
Introduction
The need to improve mathematics performance in the U.S. is paramount
(Mullis, Martin, & Foy, 2008; Schmidt, Houang, & Cogan, 2002). There have
been many attempts to move the U.S. along the continuum toward greater
success. These innovations have included research based textbooks (Grant,
Kline, & Weinhold, 2002; Li, Ding, Capraro, & Capraro, 2008; McNeil et al.,
2006), teacher professional development (Darling-Hammond & McLaughlin,
1995; Schneider, Krajcik, Marx, & Soloway, 2002), and even accountability
testing (No Child Left Behind Act, 2002). These by no means cover all the
broad spectrum attempts to help students build mathematical proficiency but
may encompass the ones receiving the greatest attention whether that yardstick
be funding or representation in the extant literature. However, as the US