PRODUCTIVE MATHEMATICAL MEANINGS AS A GUIDE TO ANALYZING ALGEBRA TEXTBOOKS.

Autor: Burch, Lori J., Tillema, Erik S., Cox, Jennifer L., Yavuz, Selim, Sianturi, Iwan A. J.
Předmět:
Zdroj: Conference Papers -- Psychology of Mathematics & Education of North America; 2021, p94-99, 6p
Abstrakt: Thompson (2015) proposed that a productive mathematical meaning is one that prepares students for future learning and lends coherence to extant meanings. We propose that a productive mathematical meaning related to expanding algebraic expressions and factoring polynomials revolves around developing an understanding of structural relationships between (binomial) factors and polynomials. We briefly outline a combinatorial approach to support a productive mathematical meaning for expanding and factoring relationships. We then report on our analysis of four Algebra 1 and Algebra 2 textbooks as we investigated their approaches to these topics. Our findings suggest that significant work on curricular development is needed to support productive mathematical meanings in this domain. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index