The mathematical modeling process is also a powerful way to teach students the meaning of data. In mathematical modeling, students are collecting data to answer a question. Data collection is the means to an end and not the end in itself. The author was looking for an engaging way to introduce his third-grade mathematics class to the skill of…

The mathematics of budgeting and space can lead to a justice-oriented experience for elementary students as they design a proposal for an inclusive playground. The authors' work focused on creating the space for elementary children to see the interconnectedness between mathematics and a community social injustice, lack of inclusive playground…

This study proposes a two-stage causal modeling with instrumental variables to mitigate selection bias, provide correct standard error estimates, and address nonnormal and missing data issues simultaneously. Bayesian methods are used for model estimation. Robust methods with Student's "t" distributions are used to account for nonnormal…

In this paper, I discuss the potential transformations to teach K-12 geometry topics with the technology of 3D Pens, which enabled 3D models to be created instantly via one's moving hands. I draw on an example of using constructionist learning activities with 3D Pens to teach young children, 'how tall is the triangle?'

This article seeks to empower teachers to create a literacy environment in which children begin to identify as writers: confident, willing to take risks, engaged, excited, persistent, resilient, resourceful, and self-starting. The teaching methods provided in the article are centered around the writer's workshop model, applied in a Kindergarten…

This article presents the journey taken by staff at St. Patrick's Primary School in Kilmore to implement a consistent approach to the teaching of mathematics, using an instructional model to support student learning through structured inquiry pedagogies.

Increasing pupil mobility has led to widespread concern among parents, educators, and policymakers regarding its negative effects on academic performance. An important issue in examining mobility effects in longitudinal school achievement comparisons is providing accurate estimates. The presence of pupil mobility suggests that we should model…

We develop a unified empirical framework for child development which nests the key features of two previously parallel research programs, the Child Development literature and the Education Production Function literature. Our framework allows for mis-measured cognitive and non-cognitive skills, classroom effects, parental influences, and…

Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…

A set of core ideas in the life sciences revolve around genetics, variation, and inheritance. While the "Next Generation Science Standards" (NGSS; NGSS Lead States 2013) emphasize teaching and learning about these concepts across K-12 grades, it is critical for early learners to begin to develop understanding of them. By the end of fifth…

The population of emergent bilingual students (EBs, or English Language Learners, ELLs) is growing steadily in the United States. One common approach to language instruction for EBs is to expose students to a lesson's content vocabulary before teaching the lesson to build students' word banks and background knowledge. An example of this is the…

Developing multiplicative reasoning is an important milestone for elementary school students, which influences their learning of later mathematical concepts (Hackenberg and Tillema 2009). For children to conceptually understand multiplication, one should move beyond merely counting by ones to dealing with composites (twos, fives, etc.) and other…

Formative assessments serve to engage students in active sense-making, making them critical tools for both teachers and students. Though formative assessments may be an informal mode of assessing, they are one of the most important, especially when teaching science. As a subject, teaching science does not have the same kind of beginning-middle-end…

In this paper, we address the societally important issue of developing a more equitable approach to preK-12 engineering education. Our primary emphasis is on K-8 grades--a time when first impressions of engineering may be developed. Calls for increased participation by all students, including those who have been historically marginalized, motivate…

America's public schools are in a crisis. Despite investing more money in K-12 education than most other countries (nearly $15,000 per student annually), educational performance levels are stagnant. One source of the problem is a rigid and deficient process for selecting and employing teachers. Teacher certification laws, intended to ensure good…