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Learning progressions and teaching sequences: A review and analysis
Our paper is an analytical review of the design, development and reporting of learning
progressions and teaching sequences. Research questions are:(1) what criteria are being …
progressions and teaching sequences. Research questions are:(1) what criteria are being …
The development of children's algebraic thinking: The impact of a comprehensive early algebra intervention in third grade
This article reports results from a study investigating the impact of a sustained,
comprehensive early algebra intervention in third grade. Participants included 106 students; …
comprehensive early algebra intervention in third grade. Participants included 106 students; …
Implementing a framework for early algebra
In this chapter, we discus s the algebra framework that guides our work and how this
framework was enacted in the design of a curricular approach for systematically develo** …
framework was enacted in the design of a curricular approach for systematically develo** …
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 …
Does early algebra matter? The effectiveness of an early algebra intervention in grades 3 to 5
A cluster randomized trial design was used to examine the effectiveness of a Grades 3 to 5
early algebra intervention with a diverse student population. Forty-six schools in three …
early algebra intervention with a diverse student population. Forty-six schools in three …
Growth in children's understanding of generalizing and representing mathematical structure and relationships
We share here results from a quasi-experimental study that examines growth in students'
algebraic thinking practices of generalizing and representing generalizations, particularly …
algebraic thinking practices of generalizing and representing generalizations, particularly …
Develo** a learning progression for curriculum, instruction, and student learning: An example from mathematics education
Learning progressions have been demarcated by some for science education, or only
concerned with levels of sophistication in student thinking as determined by logical analyses …
concerned with levels of sophistication in student thinking as determined by logical analyses …
A recent review of learning progressions in science: Gaps and shifts
L Liu, T Jackson - The Educational Review, USA, 2019 - hillpublisher.com
A learning progression is a road map that shows how a student's qualitative understanding
of particular ideas or practices is likely to change with appropriate instruction. An important …
of particular ideas or practices is likely to change with appropriate instruction. An important …
Curricular approaches to algebra in Estonia, Finland and Sweden–a comparative study
K Hemmi, K Bråting, M Lepik - Mathematical Thinking and Learning, 2021 - Taylor & Francis
The aim of the study is to investigate and compare approaches to algebra in the Estonian,
Finnish, and Swedish national core curricula (Grades 1–9). Despite the similarities in the …
Finnish, and Swedish national core curricula (Grades 1–9). Despite the similarities in the …
Context-dependent “upper anchors” for learning progressions
TR Sikorski - Science & Education, 2019 - Springer
In the spirit of model revision, researchers continue to refine the notion of a learning
progression. Despite many advances in learning progressions research, one key design …
progression. Despite many advances in learning progressions research, one key design …