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Castro-Varela, Aurelio – International Journal of Qualitative Studies in Education (QSE), 2023
In this article, I consider how cartographies have become a onto-methodological approach that seeks to produce, rather than represent, the world that they are enacting. Going beyond Alfred Korzybski's famous axiom that 'the map is not the territory,' my point is that the map can shake up the territory. This shift is discussed in relation to the…
Descriptors: Teacher Education, Learning Processes, Learning Trajectories, Concept Mapping
Cutting, Chelsea; Lowrie, Thomas – Mathematics Education Research Journal, 2023
Learning progressions have become increasingly prevalent in mathematics education as they offer a fine-grain map of possible learning pathways a child may take within a particular domain. However, there is an opportunity to build upon this research in ways that consider learning from multiple perspectives. Many current forms of learning…
Descriptors: Learning Processes, Child Development, Play, Learning Trajectories
Blanton, Maria – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Learning progressions have become an important construct in educational research, in part because of their ability to inform the design of coherent standards, curricula, assessments, and instruction. In this paper, I discuss how a learning progressions approach has guided our development of an early algebra innovation for the elementary grades and…
Descriptors: Learning Trajectories, Access to Education, Algebra, Mathematics Education
Ellis, Amy B. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
The development and use of learning trajectories is a body of research that has made enormous contributions to the field of mathematics education, offering insight into the teaching and learning of topics at all levels. Simultaneously, the work of building learning trajectories can benefit from explicitly adopting an anti-deficit stance,…
Descriptors: Learning Trajectories, Mathematics Education, Teaching Methods, Learning Processes
Maria Blanton; Angela Murphy Gardiner; Ana Stephens; Rena Stroud; Eric Knuth; Despina Stylianou – Grantee Submission, 2023
We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…
Descriptors: Mathematics Curriculum, Curriculum Design, Mathematics Instruction, Kindergarten
Smaill, Esther; Darr, Charles – New Zealand Council for Educational Research, 2020
In February 2020, the Ministry of Education asked the New Zealand Council for Educational Research (NZCER) to examine the curriculum-levelling construct that sits at the heart of The New Zealand Curriculum (Ministry of Education, 2007). A key goal of the research was to investigate, whether-- and if so, how--the construct helps (or hinders)…
Descriptors: Curriculum Development, Decision Making, Educational Planning, Program Development