What Is Early Algebra?
Early algebra refers to a program of research, instructional approaches, and teacher education that highlights the importance of algebraic reasoning throughout K-12 mathematics education. The program stresses that elementary arithmetic rests on ideas and principles of algebra that merit a place in the early curriculum. Early algebra focuses on principles and representations of algebra that can be and presumably need to be mastered by young students as the foundations for later learning.
In some countries, preparation for algebra is implicitly integrated into the early mathematics curriculum. This can be assessed by analysis of curricula implemented in different countries, a task that goes beyond the scope of this account of research on early algebra. For now, it suffices to state that the goal of introducing algebra in elementary school is far from being universally embraced, despite promising results of classroom intervention studies of early algebra.
As early...
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References
Bastable V, Schifter D (2007) Classroom stories: examples of elementary students engaged in early algebra. In: Kaput JJ, Carraher DW, Blanton M (eds) Algebra in the early grades. Erlbaum, Mahwah, pp 165â184
Blanton ML, Kaput JJ (2005) Helping elementary teachers build mathematical generality into curriculum and instruction. ZDM 37(1):34â42
Carpenter TP, Franke ML, Levi L (2003) Thinking mathematically: integrating arithmetic and algebra in elementary school. Heinemann, Portsmouth
Carraher DW, Schliemann AD (2007) Early algebra and algebraic reasoning. In: Lester F (ed) Second handbook of research on mathematics teaching and learning. Information Age, Charlotte, pp 669â705
Carraher DW, Schliemann AD, Schwartz JL (2008) Early algebra is not the same as algebra early. In: Kaput J, Carraher D, Blanton M (eds) Algebra in the early grades. Erlbaum, Mahwah
Davydov VV (1991) Psychological abilities of primary school children in learning mathematics. In: Steffe LP (ed) Soviet studies in mathematics education, vol 6. National Council of Teachers of Mathematics, Reston
Kaput J, Carraher D, Blanton M (eds) (2008) Algebra in the early grades. Erlbaum, Mahwah
Moss J, Beatty R (2006) Knowledge building in mathematics: supporting collaborative learning in pattern problems. Int J Comput Support Collab Learn 1(4):441â465
Schliemann AD, Carraher DW, Brizuela B (2007) Bringing out the algebraic character of arithmetic: from childrenâs ideas to classroom practice. Lawrence Erlbaum Associates, Mahwah
Schliemann AD, Carraher DW, Brizuela BM (2012) Algebra in elementary school. In: Coulange L, Drouhard J-P (eds) Enseignement de lâalgĂšbre Ă©lĂ©mentaire: Bilan et perspectives, Special Issue of Recherches en Didactique des MathĂ©matiques. La PensĂ©e Sauvage, Grenoble
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Carraher, D., Schliemann, A.D. (2020). Early Algebra Teaching and Learning. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_54
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