Counting is foundational to success with mathematics. In this synthesis, we analyzed 17 studies about counting-focused interventions for preschool and kindergarten students with mathematics difficulty or at-risk of mathematics difficulty. All interventions addressed several components of counting, including stable order, one-to-one correspondence,…

As technology-enhanced children's learning has gained wide attention, programmable robots have been gradually introduced in early childhood education. Hence, it would be valuable to understand how young children perceive robot programming learning. Draw-a-picture technique is an ideal method to elicit ideas, thoughts, and feelings for children…

This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…

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…

It has become increasingly clear that the early use of decomposition for addition is associated with later mathematical achievement. This study examined how younger children execute a base-10 decomposition strategy to solve complex arithmetic (e.g. two-digit addition). 24 addition problems in two modalities (WA: Written Arithmetic; OA: Oral…

This article discusses the role of vocabulary learning in supporting multilingual students' participation in disciplinary practices and discourses in K-12 content-area classrooms. First, the authors discuss the strengths and limitations of incidental and intentional vocabulary learning. They then propose a new approach to vocabulary instruction in…

This article focuses on an approach to the concept of historical time in early childhood education through the lens of cognitive psychology. It consists of three parts: (1) theoretical approaches, inspired by three broad scientific fields -- cognitive psychology, pedagogy and history; (2) the presentation of educational examples, formed by…

Practice: An Inquiry-Based Mathematics Activities Module (IBMAM) was developed in accordance with the developmental characteristics, interests, needs, and expectations of preschoolers. The aim of the study was to determine the effect of the IBMAM on preschoolers' numbers and operations skills. A quasi-experimental method, which was a…

Wordless picture book reading is one of the common literacy practices for young children that happen at schools and homes. This dissertation of three studies explores the reader-text transactions between young children and wordless picture books in three ways: a content analysis of wordless books potentially featuring characters of color, a…

Background/Context: Over the last two decades, policymakers' standards-based accountability reforms in the United States have fundamentally changed public schooling in general and kindergarten specifically. As this has occurred, little has been learned about how the children themselves make sense of these changes in schooling.…

Many US K-12 teachers in ethnolinguistically homogenous, rural areas are not adequately prepared to meet the needs of their English language learner (ELL) students. Such educators often lack conceptual understanding of language pedagogy and affective investment in ELLs. The field of language teacher education (LTE) needs research on how to better…

Difficulties in mathematics are argued to stem from impairments of a specialized system of numerical magnitude representation. This study investigates whether different measures of numerical magnitude understanding in kindergarten uniquely predict mathematical achievement concurrently and 6 months later, and also examines the relative explanatory…

Science and engineering practices (SEPs) and crosscutting concepts (CCs) constitute a significant part of "A Framework for K-12 Science Education" (NRC 2012). As teachers, the role of the authors is to highlight the pivotal role that both scientific knowledge and the practices used to generate knowledge play in learning. This article…

This article examines the mathematical activity of five-year-old Liam to explore the difference between the mathematics games designed for children and the children's games that emerge through playful activity. We propose that this distinction is a salient one for teachers observing mathematical play for evidence of mathematical sense making.

Equivalence is a concept that comes up across the entire K-12 grade span and in many different areas of mathematics. Students who are bureaucratically designated as "English Learners" can explore equivalence across their K-12 academic careers while developing language to connect ideas. Drawing on what is known generally from theory and…