Gestures, speech, and the sprouting of signs: A semiotic-cultural approach to students' types of generalization
L Radford - Mathematical thinking and learning, 2003 - Taylor & Francis
To improve our understanding of novice students' production of symbolic algebraic
expressions, this article contrasts students' presymbolic and symbolic procedures in …
expressions, this article contrasts students' presymbolic and symbolic procedures in …
Signs and meanings in students' emergent algebraic thinking: A semiotic analysis
L Radford - Educational studies in mathematics, 2000 - Springer
The purpose of this article, which is part of a longitudinal classroom research about students'
algebraic symbolizations, is twofold:(1) to investigate the way students use signs and endow …
algebraic symbolizations, is twofold:(1) to investigate the way students use signs and endow …
Research on the learning and teaching of algebra: A broadening of sources of meaning
C Kieran - Handbook of research on the psychology of …, 2006 - brill.com
The learning and teaching of algebra has always been a fundamental and vibrant stream of
the research carried out within the PME community–from the 1st PME conference in 1977 to …
the research carried out within the PME community–from the 1st PME conference in 1977 to …
An approach to geometric and numeric patterning that fosters second grade students' reasoning and generalizing about functions and co-variation
J Moss, S London McNab - Early algebraization: A global dialogue from …, 2011 - Springer
In this chapter, we present illustrations of second grade students' reasoning about patterns
and two-part function rules in the context of an early algebra research project that we have …
and two-part function rules in the context of an early algebra research project that we have …
Middle school children's cognitive perceptions of constructive and deconstructive generalizations involving linear figural patterns
FD Rivera, JR Becker - ZDM, 2008 - Springer
This paper discusses the content and structure of generalization involving figural patterns of
middle school students, focusing on the extent to which they are capable of establishing and …
middle school students, focusing on the extent to which they are capable of establishing and …
Growing and growing: Promoting functional thinking with geometric growing patterns
KA Markworth - 2010 - search.proquest.com
Abstract Design research methodology is used in this study to develop an empirically-
substantiated instruction theory about students 'development of functional thinking in the …
substantiated instruction theory about students 'development of functional thinking in the …
[PDF][PDF] Visualization in pattern generalization: Potential and Challenges
This study tries to understand how pre-service teachers, for basic education, solve problems
involving the generalization of visual patterns, identifying: the strategies used; the difficulties …
involving the generalization of visual patterns, identifying: the strategies used; the difficulties …
Trends in the development of student level of reasoning in pattern generalization tasks across grade level
ME Jurdak, RR El Mouhayar - Educational Studies in Mathematics, 2014 - Springer
This paper explored (1) the developmental trend of student level of reasoning across grade
level in pattern generalization;(2) the mediatory role of task variables in the developmental …
level in pattern generalization;(2) the mediatory role of task variables in the developmental …
Formation of pattern generalization involving linear figural patterns among middle school students: Results of a three-year study
FD Rivera, JR Becker - Early algebraization: A global dialogue from …, 2011 - Springer
This chapter provides an empirical account of the formation of pattern generalization among
a group of middle school students who participated in a three-year longitudinal study. Using …
a group of middle school students who participated in a three-year longitudinal study. Using …
A resolução de problemas que envolvem a generalização de padrões em contextos visuais: um estudo longitudinal com alunos do 2. º ciclo do ensino básico
ACC Barbosa - 2009 - search.proquest.com
A resolução de problemas constitui uma capacidade matemática fundamental e
simultaneamente uma abordagem privilegiada para a aprendizagem de diversos conceitos …
simultaneamente uma abordagem privilegiada para a aprendizagem de diversos conceitos …