On the basis of a substantial, robust, and well-replicated cognitive science research literature, interleaving has been recommended across a range of professional pedagogical works as an evidence-based strategy for mathematics teachers. This report first notes the conflation of interleaving and spacing effects underpinning those recommendations…

In this paper we present the results of a survey of research studies on the learning of multivariable calculus in a wide geographic spectrum. The goal of this study is to describe what research results tell us about students' learning of calculus of two-variable functions, and how they inform its teaching. In spite of the diversity of cultures and…

At the commencement of 2022 there was an opportunity to be engaged in a curriculum development project focused on reimagining mathematics learning in primary schools. Schools were seeking new experiences to support engaging students and teachers in mathematics learning. Laburnum Primary School participated in the project with Monash University,…

The Queensland Certificate of Education (QCE) system is Queensland's senior school qualification. To support the introduction of the system in 2019, existing senior syllabuses were redeveloped and a new senior assessment model was established, this included the implementation of a mandatory high-stakes assessment task, the Problem-solving and…

In recent years, attention has turned to the development of evidenced-based learning progressions/trajectories as a means of identifying the likely paths learners might take in developing a deep, well-connected understanding of key aspects of mathematics. However, the extent to which this work influences what happens in mathematics classrooms…

A teacher-centered, examination-driven instructional approach emphasizing knowledge of facts and standard methods through drill-and-practice without use of Information and Communications Technology (ICT) is still dominant in Nepalese high schools. In this article, we present a classroom study in which the traditional instructional approach has…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

Standardized tests have been selected as a key assessment factor in expanding the academic achievement of the national student population. However, these tests position immigrant students at the risk of academic failure, leading education experts to search for new strategies and teaching models. The "Handbook of Research on Assessment…

Using a case study, the complex challenge of making mathematics education research accessible to secondary mathematics teachers was addressed with two questions. How can we design a method that will meet the challenge of making research usable for mathematics teachers? And what would this method be? To address this challenge we describe a process…