Pre-K

The give-n task is widely used in developmental psychology to indicate young children’s knowledge or use of the cardinality principle (CP): the last number word used in the counting process indicates the total number of items in a collection. Fuson (1988) distinguished between the CP, which she called the count-cardinal concept, and the cardinal-count concept, which she argued is a more advanced cardinality concept that underlies the counting-out process required by the give-n task with larger numbers. One aim of the present research was to evaluate Fuson’s disputed hypothesis that these two cardinality concepts are distinct and that the count-cardinal concept serves as a developmental prerequisite for constructing the cardinal-count concept. Consistent with Fuson’s hypothesis, the present study with twenty-four 3- and 4-year-olds revealed that success on a battery of tests assessing understanding of the count-cardinal concept was significantly and substantially better than that on the give-n task, which she presumed assessed the cardinal-count concept.

This review synthesized insights from 27 NSF-funded projects, totaling $62 million, that studied pedagogical content knowledge (PCK) in STEM education from prekindergarten (PreK) to Grade 12, split roughly equally across mathematics and science education. The projects primarily applied correlational/observational and longitudinal methods, often targeted teaching in the middle school grades, and used a wide variety of approaches to measure teachers’ PCK. The projects advanced substantive knowledge about PCK across four major lines of research, especially regarding the measurement and development of PCK.

This review synthesizes findings from 18 NSF-funded projects, totaling nearly $22 million, that studied scientific modeling in science education from prekindergarten to Grade 12. The projects typically used descriptive designs to understand digital and nondigital modeling resources that help students explore scientific phenomena. Further, the projects provide initial evidence that resources supporting student modeling, such as modeling platforms and computer simulations, can promote science learning.

This review synthesizes insights from 23 NSF-funded projects, totaling $40 million, that studied mathematical and scientific argumentation in STEM education from prekindergarten (PreK) to Grade 12. The projects reported on both studies of argumentation interventions and naturalistic observations in “business-as-usual” settings. The projects advanced substantive knowledge about how to support student argumentation. In particular, the projects highlighted the importance of making an argument’s structure explicit and facilitating student-to-student discourse, especially with technological tools.

Many of us have multiple stories that would be appropriate to tell given the theme of this Special Issue. I am compelled to tell a story about my work with teachers, teacher leaders, and other allies on the Navajo Nation. The Diné Institute for Navajo Nation Educators (DINÉ) was started by teacher leaders who envisioned a collaborative professional development institute specifically for K12 teachers on the Navajo Nation. In their rural, Indigenous-serving schools, teachers are often asked to deliver scripted curriculum that is decontextualized, dehistoricized, and therefore, dehumanizing for their students, themselves, and their communities. Their vision for the DINÉ was developed and honed over many years in response to this context. In this essay, I will briefly describe the DINÉ, how and why it began, and its current status. I will focus on three critical spaces that have opened up in and through the DINÉ: teacher leadership, connection/relationality, and activism/self-determination. In reflecting on these three spaces, I suggest that our work in the DINÉ is fundamentally about Native Nation building.

This article presents a tool and discusses the rationale for the authors’ development of a tool designed to assess the alignment of culturally responsive schooling principles within schools serving predominantly U.S. Indigenous students. Schools that serve a majority of Indigenous students are generally located on or bordering Native Nations that are federally recognized as being sovereign Nations with a government-to-government relationship to the federal government, so the more generic diversity, equity, and inclusion tools that currently exist are insufficient for the unique contexts of schools in Indian Country. Thus, we offer a tool that can be used to identify and strengthen the integration of culturally responsive principles specifically for, with, and in Indigenous-serving schools.

Fun and easy to use math games designed for children ages 3 to 6-years-old. Some games are quick and use everyday materials; others use a game board for more extended play. All of the games can be played multiple times and their difficulty can be increased or decreased to target a “just right” level of challenge for children as they gain proficiency.

The CHALK tool is a progressive web application that guides educators to improve instructional quality in early education settings. CHALK provides targeted observation tools that allow instructional coaches to easily track key classroom practices on their digital devices in real-time.

The article describes our project that was designed to provide experiences to support paraeducators' professional growth in a large urban district by building their mathematical knowledge for teaching and leadership. Providing paras with professional learning opportunities can open pathways to teaching positions, giving them the potential to diversify the teaching pool and address teacher shortages.

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, with others developing positive new behaviors (but not sufficient to progress to a new level).