Pre-K

How Teaching Practices Relate to Early Mathematics Competencies: A Non-Linear Modeling Perspective

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 what constitutes high-quality educational environments and effective instruction.

Author/Presenter

Yixiao Dong

Douglas H. Clements

Christina Mulcahy

Julie Sarama

Lead Organization(s)
Year
2025
Short Description

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 what constitutes high-quality educational environments and effective instruction. This study employed innovative analytical techniques to evaluate the scoring and interpretation of an existing domain-specific observational measure: the Classroom Observation of Early Mathematics Environment and Teaching (COEMET).

“We Have a Lot in Common”: Mothers’ and Teachers’ Perspectives on Barriers and Pathways to Mathematical Partnerships

This study examined parents’ and teachers’ perspectives about the barriers and pathways to the development of home–school mathematics partnerships and how to move from barriers to pathways. We draw on data from two research projects across two sites in the USA (West and Southwest). Both projects brought mothers and teachers together to do and talk about mathematics. The theoretical framework that informed the design of the projects and the data analysis is based on concepts from funds of knowledge theory and parents as intellectual resources.

Author/Presenter

Marta Civil

Fany Salazar

Erin Turner

Beatriz Quintos

Kathleen Jablon Stoehr

Year
2025
Short Description

This study examined parents’ and teachers’ perspectives about the barriers and pathways to the development of home–school mathematics partnerships and how to move from barriers to pathways.

“We Have a Lot in Common”: Mothers’ and Teachers’ Perspectives on Barriers and Pathways to Mathematical Partnerships

This study examined parents’ and teachers’ perspectives about the barriers and pathways to the development of home–school mathematics partnerships and how to move from barriers to pathways. We draw on data from two research projects across two sites in the USA (West and Southwest). Both projects brought mothers and teachers together to do and talk about mathematics. The theoretical framework that informed the design of the projects and the data analysis is based on concepts from funds of knowledge theory and parents as intellectual resources.

Author/Presenter

Marta Civil

Fany Salazar

Erin Turner

Beatriz Quintos

Kathleen Jablon Stoehr

Year
2025
Short Description

This study examined parents’ and teachers’ perspectives about the barriers and pathways to the development of home–school mathematics partnerships and how to move from barriers to pathways.

Pumping Up Curiosity: How Child-Led Play Fuels Early Science Learning

This article emphasizes the critical role of play in early childhood science education, arguing that natural, child-led play fosters important opportunities for children to explore scientific ideas and practices. Drawing on Vygotsky’s theories and recent studies, the authors advocate for environments that encourage exploratory play to develop children’s scientific skills. The article presents a detailed vignette from Inch By Inch Preschool, showcasing how children engaged with air pumps to explore scientific phenomena.

Author/Presenter

Katahdin Cook Whitt

Aaron Beaumont

Jessica Lewis

Year
2025
Short Description

This article emphasizes the critical role of play in early childhood science education, arguing that natural, child-led play fosters important opportunities for children to explore scientific ideas and practices. Drawing on Vygotsky’s theories and recent studies, the authors advocate for environments that encourage exploratory play to develop children’s scientific skills.

Pumping Up Curiosity: How Child-Led Play Fuels Early Science Learning

This article emphasizes the critical role of play in early childhood science education, arguing that natural, child-led play fosters important opportunities for children to explore scientific ideas and practices. Drawing on Vygotsky’s theories and recent studies, the authors advocate for environments that encourage exploratory play to develop children’s scientific skills. The article presents a detailed vignette from Inch By Inch Preschool, showcasing how children engaged with air pumps to explore scientific phenomena.

Author/Presenter

Katahdin Cook Whitt

Aaron Beaumont

Jessica Lewis

Year
2025
Short Description

This article emphasizes the critical role of play in early childhood science education, arguing that natural, child-led play fosters important opportunities for children to explore scientific ideas and practices. Drawing on Vygotsky’s theories and recent studies, the authors advocate for environments that encourage exploratory play to develop children’s scientific skills.

Systematic Review of Learning Trajectories in Early Mathematics

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 standards, instructional planning, and assessment. However, the specific contributions of learning trajectories to education and children’s learning are unclear.

Author/Presenter

Douglas H. Clements

Julie Sarama

Lead Organization(s)
Year
2024
Short Description

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 standards, instructional planning, and assessment. However, the specific contributions of learning trajectories to education and children’s learning are unclear. We review research over the last five years to describe what is known and what still needs to be learned about methods of development, refinement, and validation of the goals, developmental progressions, and instruction of learning trajectories in early mathematics and possible advantages and disadvantages in the educational application of learning trajectories.

Systematic Review of Learning Trajectories in Early Mathematics

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 standards, instructional planning, and assessment. However, the specific contributions of learning trajectories to education and children’s learning are unclear.

Author/Presenter

Douglas H. Clements

Julie Sarama

Lead Organization(s)
Year
2024
Short Description

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 standards, instructional planning, and assessment. However, the specific contributions of learning trajectories to education and children’s learning are unclear. We review research over the last five years to describe what is known and what still needs to be learned about methods of development, refinement, and validation of the goals, developmental progressions, and instruction of learning trajectories in early mathematics and possible advantages and disadvantages in the educational application of learning trajectories.

Best of Both Worlds: Developing an Innovative, Integrated, Intelligent, and Interactive System of Technologies Supporting In-Person and Digital Experiences for Early Mathematics

Mathematics is a core component of cognition. Unfortunately, most young children and teachers cannot access research-based early childhood mathematics resources. Building on a quarter-century of research, we are developing and evaluating an innovative, integrated, intelligent, and interactive system of technologies based on empirically validated learning trajectories that provide the best personal and digital tools for assessing and supporting children’s mathematics learning.

Author/Presenter

Douglas H. Clements

Shannon S. Guss

Julie Sarama

Daniela Alvarez-Vargas

Lead Organization(s)
Year
2024
Short Description

Mathematics is a core component of cognition. Unfortunately, most young children and teachers cannot access research-based early childhood mathematics resources. Building on a quarter-century of research, we are developing and evaluating an innovative, integrated, intelligent, and interactive system of technologies based on empirically validated learning trajectories that provide the best personal and digital tools for assessing and supporting children’s mathematics learning.

Does Use of a Hypothetical Learning Progression Promote Learning of the Cardinal-Count Concept and Give-n Performance?

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 efficacious than skipping lower levels and teaching the target level directly. The specific aim was evaluating whether counting-based cardinality concepts unfold in a stepwise manner. The research involved a pretest—delayed-posttest design with random assignment of 14 preschoolers to two conditions.

Author/Presenter

Arthur J. Baroody

Douglas H. Clements

Julie Sarama

Year
2024
Short Description

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 efficacious than skipping lower levels and teaching the target level directly. The specific aim was evaluating whether counting-based cardinality concepts unfold in a stepwise manner.

Storyline Frameworks for Educators

Do you want to learn more about complex ecological systems, nature-culture relations, and field-based science? These storyline frameworks are designed for educators working in a variety of places (community-based organizations of all types, homes, schools). Each framework provides in-depth, research-based information about its topic, as well as a variety of appendices that help educators put their new learning into practice. These include vignettes that show the ideas in practice and a self-assessment that educators can use to reflect on their current and future thinking and practice.

Author/Presenter

Megan Bang

Carrie Tzou

Lead Organization(s)
Year
2021
Short Description

Do you want to learn more about complex ecological systems, nature-culture relations, and field-based science? These storyline frameworks are designed for educators working in a variety of places (community-based organizations of all types, homes, schools). Each framework provides in-depth, research-based information about its topic, as well as a variety of appendices that help educators put their new learning into practice. These include vignettes that show the ideas in practice and a self-assessment that educators can use to reflect on their current and future thinking and practice.