There is growing interest in mathematics learning progressions in early childhood education. Counting is a skill usually developed early in life. The application of the counting principles in early childhood typically entails counting objects. This poses challenges for learning about zero. Indeed, the word "zero" is seldom used in the…

The topic of the seasons is covered in both primary and secondary schools in Australia. It may be difficult for some students to comprehend how the Sun alters its position throughout the year. This article shows how to calculate the changing rising and setting positions of the Sun for one's locality and the extremes of its elevation near noon over…

Project-Based Learning (PjBL) has become an essential pedagogical approach in mathematics education, fostering critical thinking, problem-solving and student engagement. As its implementation continues to expand, a bibliometric analysis is necessary to examine the prevailing landscape, emerging trends, leading contributors and core research themes…

Previous research into the teaching and learning of surface area emphasises the use of nets and formulae to calculate the total surface area of three-dimensional objects despite enduring student difficulties. This study investigated an instructional intervention for Year 8 mathematics students (n = 47; 13-14 years old) designed to elicit multiple…

Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

Coding is a process often associated with computers. Nevertheless, coding is a thought process that can be mastered even without a computer. In NSW, primary students are introduced to computational and algorithmic thinking as early as Stage 1. Yet, teaching coding to young students is not always easy for teachers, mostly because the process is…

The Mantel-Haenszel estimator is one of the most popular techniques for measuring differential item functioning (DIF). A generalization of this estimator is applied to the context of DIF to compare items by taking the covariance of odds ratio estimators between dependent items into account. Unlike the Item Response Theory, the method does not rely…

This study identified appropriate pedagogy for computational thinking in K-12 computer education. The Delphi technique was employed to collect different views, ideas and opinions derived a consensus from a panel of 12 international experts through a series of questionnaires. The experts have various experiences in computer science, computer…

This paper reports changes in the extent to which a group of Year 11 students used a Computer Algebra System (CAS), pen-and-paper (P&P), or a combination of both, when solving routine problems across seven months in four different topics. Comparing the frequency of CAS use across topics shows students made greater use of CAS in the topics of…

New cognitive infrastructures are emerging as digital platforms and artificial intelligence enable new forms of automated thinking that shape human decision-making. This paper (a) offers a new theoretical perspective on automated thinking in education policy and (b) illustrates how automated thinking is emerging in one specific policy context. We…

Network analysis is a topic in secondary mathematics education of growing importance because it offers students an opportunity to understand how to model and solve many authentic technology and engineering problems. However, very little is known about how students make sense of the algorithms typically used in network analysis. In this study, I…

The development of mathematical reasoning is a key proficiency for mathematics within the Australian Curriculum. However, reasoning can be difficult for teachers to assess, particularly with pen and paper tests. In this study, interview tasks were designed across three curriculum areas at three different levels to assess student reasoning through…

There is strong evidence from research conducted in the United States that fraction magnitude understanding supports mathematics achievement. Unfortunately, there has been little research that examines if this relation is present across educational contexts with different approaches to teaching fractions. The current study compared fourth and…

Deeper learning (DL) is firmly rooted in learning science and computer science. However, a dearth of review studies has probed its trajectory in DL in foreign languages (DLFL). Utilizing SSCI from the Web of Science Core Collection, we employ Citespace and Vosviewer to analyze the scientific knowledge graph of DLFL literature. Our analysis…

There appears to be no published knowledge regarding how humans use unit conversions. Until very recently, acquiring such data would be essentially impossible, but mobile devices have now enabled many questions to be answered through passive "crowdsourcing" of big data sets. This work details the analysis of five years of anonymous user…