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Levels of Participatory Conceptions of Fractional Quantity Along a Purposefully Sequenced Series of Equal Sharing Tasks: Stu's Trajectory
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Current intervention research in special education focuses on children's responsiveness to teacher modeled strategies and not conceptual development within children's thinking. As a result, there is a need for research…
Evaluation of three interventions teaching area measurement as spatial structuring to young children
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In this article, authors evaluated the effects of three instructional interventions designed to support young children’s understanding of area measurement as a structuring process.
We evaluated the…
Children’s Measurement: A Longitudinal Study of Children’s Knowledge and Learning of Length, Area, and Volume
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This monograph is a report on a four-year-long multisite longitudinal study that studied children’s thinking and learning about geometric measurement (i.e., length, area, and volume).
Quantitative…
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This article describes how research-based learning progressions can be used to enhance the analysis and response to student work.
Dig deeper into classroom artifacts using research-based learning…
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This paper discusses the extent to which one case study elementary school child with identified learning disabilities (LDs) made sense of composite units and unit fractions.
Students with learning…
Pathways for Analyzing and Responding to Student Work for Formative Assessment: The Role of Teachers’ Goals for Student Learning
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This study explored how teachers interpreted and responded to their own student work during the process of formative assessment.
This study explored how teachers interpreted and responded to their own…
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In this report, authors describe the results of a rigorous two-year study of the impacts of a mathematics initiative called Ongoing Assessment Project (OGAP) on teacher and student learning in grades 3-5 in two…
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This research focuses on ways in which balance scales mediate students’ relational understandings of the equal sign.
This research focuses on ways in which balance scales mediate students’ relational…
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This study evaluated a portion of our learning trajectory, focusing on the instructional component. We found that the instruction was successful in promoting a progression from one level to the next for 40% of the children…
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Designed to be integrated with any curriculum, each grade level includes 18-20 one-hour lessons to be conducted throughout the school year. Each LEAP lesson lasts about an hour is designed to fit within a typical daily…
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This presntation addreses 4 research cquestions
•What extant criteria do Grade 8 students use to choose the better line
of fit between two lines “fit” to a set of data, when both lines express
the trend of the data…
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This is a technical report detailing the methods and findings for each of the research studies in the LLAMA project.
Mathematics
Achievement
Learning…
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In this manuscript, we propose that educators’ perspectives may serve as an independent source of evidence that can be integrated with traditional evidence sources (e.g., cognitive interviews with students, psychometric…
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In this report section, we discuss the importance of aligning classroom assessments with learning goals and instructional practices to both shape and evaluate students’ learning opportunities.
In this…
Designing Standards-aligned Formative Assessments to Explore Middle School Students’ Understanding of Algorithms
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'Algorithms’ is a core CS concept included in the K-12 CS learning standards, yet student challenges with understanding and using algorithms are still not well documented. This paper describes an approach to decompose the…
Exploring Middle School Students’ Understanding of Algorithms Using Standards-aligned Formative Assessments: Teacher and Researcher Perspectives
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‘Algorithms’ is a core CS concept included in the K-12 CS standards, yet student challenges with understanding different aspects of algorithms are still not well documented, especially for younger students. This paper…
Uncovering Middle School CS Students’ Understanding of Variables and Control Structures: A Cognitive Think-Aloud Approach
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This poster presents findings on middle school students’ understanding of core computer science (CS) concepts, such as variables and control structures, using cognitive think-aloud interviews with eight students…
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Measuring and Visualizing Space in Elementary Mathematics Learning explores the development of elementary students’ understanding of the mathematics of measure, and demonstrates how measurement can serve as an anchor for…
Does Use of a Hypothetical Learning Progression Promote Learning of the Cardinal-Count Concept and Give-n Performance?
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The general aim of the research was to conduct a rare test of the efficacy of hypothetical learning progressions (HLPs) and a basic assumption of basing instruction on HLPs, namely teaching each successive level is more…
Employing Automatic Analysis Tools Aligned to Learning Progressions to Assess Knowledge Application and Support Learning in STEM
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We discuss transforming STEM education using three aspects: learning progressions (LPs), constructed response performance assessments, and artificial intelligence (AI). Using LPs to inform instruction, curriculum, and…
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Learning trajectories in early mathematics instruction have received increasing attention from policymakers, educators, curriculum developers, and researchers. They are generally deemed useful for guiding curriculum…
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The significance of children’s mathematical competence during the early years is well established; however, the methods for developing such competencies remain less understood. Specifically, there is a need to identify…
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High-stakes tests take time away from valuable learning activities, narrow the focus of instruction, and imply that science involves memorizing details rather than understanding the natural world. Current tests lead…
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Mathematics
Learning Progression
Presentation
Elementary
Barrett, J…
Evaluating and Improving a Learning Trajectory for Linear Measurement in Elementary Grades 2 and 3: A Longitudinal Study
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We examined children’s development of strategic and conceptual knowledge for linear measurement. We conducted teaching experiments with eight students in grades 2 and 3, based on our hypothetical learning trajectory for…
Evaluation of a Developmental Progression for Length Measurement using the Rasch Model (Clements, Sarama, Barrett, Cullen, van Dine)
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This is a research paper presentation.
Mathematics
Measurement
Learning Progression
Presentation…
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Measurement is a critical component of mathematics education, but research on the learning and teaching of measurement is limited, especially compared to topics such as number and operations. To contribute to the…
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This webinar, led by Edith Gummer (formerly of NSF), discusses the guidelines outlined in the report co-authored by the Institute of Education Sciences, U.S. Department of Education and the National Science Foundation…