
02368458
j
2006c.01838
Carraher, David W.
Schliemann, Anal\'ucia D.
Brizuela, B\'arbara M.
Earnest, Darrell
Arithmetic and algebra in early mathematics education.
J. Res. Math. Educ. 37, No. 2, 87115 (2006).
2006
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
H22
H32
C32
algebrafied arithmetic
elementary algebra
arithmetic
cognitive development
children's strategies
number line
develpopmental readiness
functions
primary education
empirical investigations
research
doi:10.2307/30034843
Algebra instruction has traditionally been postponed until adolescence because of historical reasons (algebra emerged relatively recently), assumptions about psychological development ('developmental constraints' and 'developmental readiness'), and data documenting the difficulties that adolescents have with algebra. Here we provide evidence that young students, aged 910 years, can make use of algebraic ideas and representations typically absent from the early mathematics curriculum and thought to be beyond students' reach. The data come from a 30month longitudinal classroom study of four classrooms in a public school in Massachusetts, with students between grades 24. The data help clarify the conditions under which young students can integrate algebraic concepts and representations into their thinking. It is hoped that the present findings, along with those emerging from other research groups, will provide a research basis for integrating algebra into early mathematics education. (Authors' abstract)