A group of adults, dressed in authentic medieval costumes, organize and stage a full-scale battle at a local park; weapons (made from foam), roles, and medieval speech are all part of the event. This is known as "Live Action Role Play" -- more commonly referred to as "LARP." Although many settings and scenarios have been used…

Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…

The teaching of measurement concepts typically follows a learning sequence of: (1) identifying the attribute, (2) comparing and ordering, (3) measuring using non-standard units, (4) measuring using standard units, and (5) applications. This sequence is entrenched in many curricular documents and textbooks (Australian Curriculum Assessment and…

During the past few years, the social interactions of students have been limited. The act of social distancing has not only exacerbated developmental gaps in social and emotional learning (SEL) (Vaillancourt et al. 2021) but also interrupted mathematics instruction (Lewis et al. 2021). Teachers are searching for strategies that promote…

Usable Math available at https://usablemath.org/ is being designed as an open online tutor for elementary school math students and teachers in the USA. It provides interactive problem solving for 3rd through 6th grade students who are learning mathematical reasoning and computation skills through word problems. Using the system, students and…

Computational thinking has been taught in elementary classrooms in other countries for many years, but in the United States this has only been a focus recently due to the drastic shortage of computer scientists. Early exposure to computational thinking has been shown to motivate students to pursue STEM careers, especially computer science (Jin,…

Mathematics educators and researchers have advocated for the use of manipulatives to teach mathematics for decades. The purpose of this article is to provide illustrative uses of a readily available manipulative rather than a complete list. From an Australian perspective, Pop-it fidget toys can be used across the mathematics curriculum. This paper…

In this article, the authors present a brief description of the different views of the "nature of mathematics" (NOM), share a five-point view of NOM that undergirds the teaching profession's guiding documents, and describe ways of providing opportunities for teachers and students to have conversations in the classroom that build…

In many elementary classrooms nationwide, less and less time is spent on social studies. Lack of attention to social studies is evident in states like New York where teacher evaluations are contingent on students' performance on two subjects: English Language Arts (ELA) and mathematics. In this article, the authors describe their experience…

Algebraic reasoning is foundational to all mathematical thinking. This is no less the case in the early years of school, where the capacity to recognise the structure of mathematical processes enables students to acquire deep conceptual understanding. It is through algebra, therefore, that students are able to explore and express mathematical…

Computer science (CS) and computational thinking (a problem-solving process used by computer scientists) teach students design, logical reasoning, and problem solving--skills that are valuable in life and in any career. Computational thinking (CT) concepts such as decomposition teach students how to break down and tackle a large complex problem.…

This article proposes a latent variable regression four-level hierarchical model (LVR-HM4) that uses a fully Bayesian approach. Using multisite multiple-cohort longitudinal data, for example, annual assessment scores over grades for students who are nested within cohorts within schools, the LVR-HM4 attempts to simultaneously model two types of…

We present a logistic function of a monotonic polynomial with a lower asymptote, allowing additional flexibility beyond the three-parameter logistic model. We develop a maximum marginal likelihood based approach to estimate the item parameters. The new item response model is demonstrated on math assessment data from a state, and a computationally…

Using a dog's paw as a basis for numerical representation, sixth grade students explored how to count and regroup using the dog's four digital pads. Teachers can connect these base-4 explorations to the conceptual meaning of place value and regrouping using base-10.

This paper describes a classroom experiment where students use techniques found in the history of mathematics to learn about an important mathematical idea. More precisely, sixth graders in a primary school follow Archimedes's method of exhaustion in order to compute the number p. Working in a computer environment, students inscribe and…