Bárbara M. Brizuela
Assistant Professor

• Ed.D., Harvard University
• M.A., Tufts University
• Licenciada en Ciencias Pedagógicas, Universidad de Belgrano, Argentina
• Licenciada en Psicopedagogía, Universidad de Belgrano, Argentina

Bárbara studied in Argentina and the US, where she moved in 1995. She has been a kindergarten and seventh grade teacher in Argentina as well as a Spencer Foundation research training grantee. Her current research focuses on children's learning of written numbers and notational aspects in mathematics. For the last few years, she has also been involved in a research project on children's early algebraic reasoning and teaching elementary school children, exploring the intertwined nature of arithmetic and algebra (see www.earlyalgebra.terc.edu). She is currently also investigating the connections between engineering and algebra through a project funded by the General Electric Foundation (see www.buildingmath.org). Her main areas of interest are early childhood education, cognitive development, and mathematics education. See also www.tufts.edu/~bbrizuel/

Selected Publications (since 2004):

BOOKS:

2006:
Brizuela, B. M. (2006). Desenvolvimento matematico na criança: Explorando notacões. Porto Alegre, Brazil: Artmed Editora. (Portuguese translation of Mathematical Development in Young Children: Exploring Notations.)

Schliemann, A. D., Carraher, D., & Brizuela, B. M. (2006). Bringing Out the Algebraic Character of Arithmetic: From Children’s Ideas to Classroom Practice. Mahwah, NJ: Lawrence Erlbaum and Associates.

2004:
Brizuela, B. M. (2004). Mathematical Development in Young Children: Exploring Notations. NY: Teachers College Press.

EDITED VOLUMES:

2005:
Alvarado, M. & Brizuela, B. M. (Eds.) (2005). Haciendo números. Las notaciones numéricas vistas desde la psicología, la didáctica y la historia. México: Editorial Paidós.

ARTICLES IN REFEREED JOURNALS:

2006:
Brizuela, B. M. (2006). Young children’s notations for fractions. Educational Studies in Mathematics, 62(3), 281-305.

Carraher, D. W., Schliemann, A. D., Brizuela, B. M., & Earnest, D. (2006). Arithmetic and Algebra in Early Mathematics Education. Journal for Research in Mathematics Education 37(2), 87-115.

Martinez, M. V. & Brizuela, B. M. (2006). A third grader’s way of thinking about linear function tables. Journal of Mathematical Behavior, 25(4), 285-298.

2005:
Carraher, D.W., Schliemann, A.D., & Brizuela, B.M. (2005). Treating the operations of arithmetic as functions. [Videopaper]. In Medium and meaning: Video papers in mathematics education research, Journal for Research in Mathematics Education Monograph, Vol. XIII. 2005. [On CD-ROM]. 11 min. video (204 MB), 34 pages text (170 KB), 32 images (974 KB).

2004:
Brizuela, B. M. & Schliemann, A. D. (2004). Fourth graders solving linear equations. For the Learning of Mathematics, 24(2), 33-40.

BOOK CHAPTERS:

In press:
Brizuela, B. M. & Earnest, D. (in press). Multiple notational systems and algebraic understandings: The case of the "best deal" problem. In J. Kaput, D. Carraher, & M. Blanton (Eds.), Algebra in the Early Grades. Mahwah, NJ: Lawrence Erlbaum and Associates.

2005:
Alvarado, M. & Brizuela, B. M. (2005). Introducción. In M. Alvarado & B. M. Brizuela (Eds.) Haciendo números. Las notaciones numéricas vistas desde la psicología, la didáctica y la historia. (pp. 9-12). México: Editorial Paidós.

Brizuela, B. M. (2005). Relaciones entre representaciones: el caso de Jennifer, Nathan y Jeffrey. In M. Alvarado & B. M. Brizuela (Eds.) Haciendo números. Las notaciones numéricas vistas desde la psicología, la didáctica y la historia. (pp. 198-219). México: Editorial Paidós. (Spanish version of chapter in “Mathematical Development in Young Children: Exploring Notations”.)

PAPERS IN REFEREED CONFERENCE PROCEEDINGS

2006:
Martinez, M. V. & Brizuela, B. M. (2006). An unexpected way of thinking about linear function tables. In J. Novotná, H. Moraová, M. Krátka, & N. Stehlíková (Eds.), Proceedings of the 30th Annual Meeting of the International Group for the Psychology of Mathematics Education (vol. 4, pp. 153-160). Prague, Czech Republic: Charles University.