Teachers' mathematics knowledge for teaching early algebra: A systematic review from the mkt perspective
N Pincheira, Á Alsina - Mathematics, 2021 - mdpi.com
The mathematical knowledge for teaching (MKT) model emerged from the advances
proposed by Shulman in 1986 and 1987 as part of the teacher's professional knowledge …
proposed by Shulman in 1986 and 1987 as part of the teacher's professional knowledge …
Mathematics education research on algebra over the last two decades: quo vadis?
JM Veith, ML Beste, M Kindervater, M Krause… - Frontiers in …, 2023 - frontiersin.org
Algebra is a crucial component of mathematics education as it introduces learners to the
mathematical world of modeling relationships and handling abstract quantities. The …
mathematical world of modeling relationships and handling abstract quantities. The …
Enhancing students' mathematical reasoning in the classroom: teacher actions facilitating generalization and justification
J Mata-Pereira, JP da Ponte - Educational Studies in Mathematics, 2017 - Springer
A proof is a connected sequence of assertions that includes a set of accepted statements,
forms of reasoning and modes of representing arguments. Assuming reasoning to be central …
forms of reasoning and modes of representing arguments. Assuming reasoning to be central …
Exploring teacher noticing of student algebraic thinking in a video club
J Walkoe - Journal of Mathematics Teacher Education, 2015 - Springer
Learning algebra is critical for students in the USA today, yet many students in the USA
struggle in algebra classes. Researchers claim that one reason for these difficulties is that …
struggle in algebra classes. Researchers claim that one reason for these difficulties is that …
Niveles de algebrización de la actividad matemática escolar. Implicaciones para la formación de maestros
El desarrollo del razonamiento algebraico elemental desde los primeros niveles educativos
es un objetivo propuesto en diversas investigaciones y orientaciones curriculares. En …
es un objetivo propuesto en diversas investigaciones y orientaciones curriculares. En …
Prospective primary teachers' noticing of students' understanding of pattern generalization
ML Callejo, A Zapatera - Journal of Mathematics Teacher Education, 2017 - Springer
The aim of this research is to characterize profiles of the teaching competence “noticing
students' mathematical thinking” in the context of the pattern generalization. Prospective …
students' mathematical thinking” in the context of the pattern generalization. Prospective …
A learning progression for elementary students' functional thinking
In this article we advance characterizations of and supports for elementary students'
progress in generalizing and representing functional relationships as part of a …
progress in generalizing and representing functional relationships as part of a …
Teaching and learning patterns in school mathematics
FD Rivera - New York, NY, 2013 - Springer
Teaching and Learning Patterns in School Mathematics Page 1 Teaching and Learning Patterns
in School Mathematics Ferdinand Rivera Psychological and Pedagogical Considerations Page …
in School Mathematics Ferdinand Rivera Psychological and Pedagogical Considerations Page …
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 …
Seeking, using, and expressing structure in numbers and numerical operations: A fundamental path to developing early algebraic thinking
C Kieran - Teaching and learning algebraic thinking with 5-to 12 …, 2018 - Springer
The dominant focus on generalizing in the development of algebraic thinking has to a large
extent obscured the process of seeing structure. While generalization-oriented activity …
extent obscured the process of seeing structure. While generalization-oriented activity …