There are increasingly frequent calls for school mathematics curricula to be informed by robust research evidence. One approach to achieving this is designing evidence-informed learning and teaching resources for the classroom. In this paper, we reflect on our experiences of designing a free and fully resourced complete set of secondary…

Our aim is to contribute to the body of research on learning trajectories (LTs) in mathematics by making visible a process for articulating a hypothetical learning trajectory implicit in a widely adopted, reform-based, middle-grades mathematics curriculum. In doing so, we highlight considerations, decisions, and challenges we faced as part of this…

The motion equations of a body under gravity and resistance linearly dependent on speed are usually analysed by solving differential equations. In this paper we report a derivation not explicitly involving differential equations but instead based on some elementary mathematical operations. The derivation uses only knowledge covered in a typical…

The educationists and the statesmen of different eras have casted mathematics education in different forms, and it has swayed to and from the elites to the commoners several times. The vision of the educationists always took tolls on mathematics curriculum, which survived the maximum change during the past one century. Several unorganized or…

In this paper, we consider mathematical competitions for pre-university students, such as the "International Mathematical Olympiad" (IMO) and many national and regional Olympiads following a similar model. The problems proposed in these contests must be solvable by 'elementary' methods (i.e., without using calculus) and belong…

This paper proposes a rationale that supports a renewal of our predominantly 19th century curriculum for Grades 7-12, identified as Mathematics 1.0. It was originally established in the mid 1800s to prepare learners mostly from upper-class families to succeed in a post-industrial society. Today's digital revolution has changed society remarkably,…

This article describes how mathematics may be experienced in widely different ways across mathematics and physics courses and highlights some unexpected constraints in a trigonometry curriculum. The examples and discussion are based on a study (Mateas 2020) that compares how trigonometry is portrayed in representative physics (i.e., "Holt…

Research shows that when students engage with mathematical inquiry their problem-solving skills are strengthened. Demands in the revised Australian curriculum raised problem-solving of new senior secondary mathematics assessment, specifically in Queensland Problem-solving and Modelling Tasks (PSMTs). The challenge for Queensland was to scale…

The study of secondary mathematics involves many ideas, but too often high school mathematics curriculum materials and instruction begin by giving students the vocabulary first, along with definitions, before students have been able to explore the ideas. Particularly for students bureaucratically designated as English Learners, preteaching…

Discover a bold new vision for high school mathematics that empowers students through engaging, real-world learning. For decades, mathematics education has been guided by the visionary efforts of educators and leaders who recognized the importance of making math relevant, engaging, and accessible to all students. From the foundational principles…

Mathematics teachers make a number of decisions that shape their lessons, which therein impact their students' opportunity to learn mathematics. Past research has often focused on teachers, students and the mathematical content as key classroom elements that drive teachers' decisions. In this article, we propose that a fourth element -- the…

In this article, the author discusses strategies for creating more equitable K-12 mathematics experiences for LGBTQ+ students. Strategies range from engaging in self-education, creating LGBTQ+ inclusive classroom spaces, and adopting LGBTQ+ inclusive curriculum and queer pedagogy. The importance of considering school context while engaging in this…

The formula for the variance of a binomial distribution is both concise and elegant. However, it is often taught without reference to the underlying reasoning. That being the case, is it important, or useful, to understand why this formula can be used to calculate the requisite result? In this article, the author demonstrates a teaching sequence…

In this report I have created an exploratory framework to identify opportunities to engage in literacy practices within mathematics curriculum materials. This framework describes "unstructured literacy opportunities" and "structured literacy opportunities" for each of the language modalities of reading, writing, speaking, and…

Teaching resources and professional development based on mathematics education research have the potential to support teachers to develop and sustain improved pedagogies. The Queensland Department of Education provided online professional learning modules for teachers of Prep (Foundation) to Year 10 mathematics. To support implementation of the…