Early numeracy skills are vital for kindergarten students because they provide the foundation for acquiring mathematics skills in both kindergarten and subsequent years. Teacher support to intervene on kindergarteners at-risk for poor mathematics learning outcomes is a promising approach to address this achievement gap. The current study…

In the primary grades, engaging in counting collections provides students with regular opportunities to make sense of numbers in dynamic ways, build social skills, and communicate about mathematics. This article aims to guide elementary educators through a team's process of planning and implementing counting collections in kindergarten. Counting…

There is growing recognition that mathematical modeling can be a lever for equity in elementary mathematics classrooms. This study focuses on the impact of a professional development program focused on culturally responsive mathematical modeling on 8 kindergarten through 2nd grade teachers' practices in modeling lessons. We use a project developed…

This research focuses on ways in which balance scales mediate students' relational understandings of the equal sign. Participants included 21 Kindergarten-Grade 2 students who took part in an early algebra classroom intervention focused in part on developing a relational understanding of the equal sign through the use of balance scales. Students…

This dissertation explores the mathematics identities of early elementary school students. Throughout school, many students come to believe that mathematics is not for them or is not a part of who they are or want to be. Previous research has revealed mechanisms that lead to negative relationships with mathematics for middle grade students and…

This article illustrates and differentiates the unique role cognitive interviews and think-aloud interviews play in developing and validating assessments. Specifically, we describe the use of (a) cognitive interviews to gather empirical evidence to support claims about the intended construct being measured and (b) think-aloud interviews to gather…

The exploration of children's drawings as mathematical representations is a current focus in early years mathematics education research. This paper presents a qualitative analysis of 72 kindergarten to Grade 3 (5 to 8 years old) children's drawings produced during problem-solving tasks centred on multiplicative strategies. Existing frameworks for…

This scoping review describes mathematics intervention studies that include initial skill moderation analyses. Sixteen studies were included that focused on students with or at risk for mathematics difficulties (MD). The results revealed that mathematics intervention studies with initial skill moderation analyses focused on students in…

Background or Context: Teachers knowing their students is consequential for students' participation and learning. Evidence in mathematics education points to the ways that knowing the details of students' mathematical thinking supports teacher and student learning. What it means to know students and what teachers learn about their students are…

As part of a longitudinal study focused on mathematical play, we (Melissa, Amy, and Anita) are often faced with questions about what counts as play and what mathematics (and other learning) we see in play, and whose play is most likely to be seen or dismissed. Rather than discuss our findings from classroom videos of kindergarten children engaged…

Despite the surge in efficacy studies, the relative effectiveness of any two math interventions is largely unknown and replications are rare. To ensure that students benefit from high-quality learning experiences, the current conceptual replication of Wang and Woodworth, a randomized control trial, evaluated the relative impacts of two computer…

Over three decades ago, National Council of Teachers of Mathematics (NCTM, 1991) proposed that "for students to develop the ability to formulate problems, to explore, conjecture, and reason logically, to evaluate whether something makes sense, classroom discourse must be founded on mathematical evidence" (p. 34). As math interventionists…

Potential benefits of providing elementary school students experiences with coding robots are well-documented. These include building skill sets related to logical thinking, problem solving, persistence, collaboration, and communication (Harrell 2015). The authors embrace the value of coding in helping elementary school students develop these…

This study used hierarchical linear modeling to examine the relationship between an internet-based mathematics formative assessment and data from a mathematics summative assessment for primary grade learners (ages 5-7). Results showed a positive relationship between formative assessment data related to the concepts of counting and decomposing…

Many studies conducted in the last decades report that very few elementary-grades students understand the meaning of = in mathematics, and that upper-elementary students do not understand it any better than the lower-elementary students do. Using data from thousands of Florida elementary students, we show that students in Florida perform ten to…