There is a growing interest in STEM (science, technology, engineering, and mathematics) units and projects in the early childhood and elementary years. There are many advantages of embedding math in STEM contexts and activities; it can be excellent for reinforcing math (as well as science, technology, and engineering) concepts and skills. However,…

In this paper, we introduce a new interpretive framework, which we call Bodymarking, to aid in describing and interpreting activity (e.g., individuals' gestures, gaze, and interaction with materials in the environment) in the classroom. We apply the framework to video recordings of mathematics lessons to explain how it can be used and offer some…

Differential equations are widely used tools for modelling the world around us, making a course in differential equations a natural place for students to connect concrete mathematical applications to abstract concepts. Since students grasp the concepts better by applying them, introducing differential equations through modelling becomes essential.…

A rigorous and axiomatic-deductive approach is emphasized in teaching mathematics at university-level. Therefore, the secondary-tertiary transition includes a major change in mathematical thinking. One viewpoint to examine such elements of mathematical thinking is David Tall's framework of the three worlds of mathematics. Tall's framework…

As children progress through the elementary grades, they are expected to begin to use attributes of shapes to name and classify them. When listening to children talk about shapes, it becomes clear that the process of learning to reason geometrically is complex. Recognizing the complex nature of students' geometric reasoning, the authors present in…

In this, paper we attend to epistemological potentials of multilingual language use and mathematics in connection to the 'language-as-resource' idea and how the idea is actualised in Swedish mathematics education contexts. In this paper we develop and propose a framework for considering different epistemological potentials for multilingual…

There is a pressing need to develop processes to facilitate the organization of education responses in time-pressured emergency situations. As part of a joint Learning Passport (LP) partnership project with UNICEF, researchers along with curriculum and subject specialists at the University of Cambridge, UK, developed a curriculum framework that…

The fields of quantitative and covariational reasoning boast a wide range of powerful theoretical tools, which are described carefully in the literature. Less frequent and explicit attention, however, has been paid to writing down detailed, practical guidance for operationalizing these theoretical constructs. Some guidance is provided by…

Research shows primary teachers report negative dispositions towards teaching mathematics, impacting their confidence and student outcomes. One approach to improve teacher and student enthusiasm is using picturebooks. While research supports the use of picturebooks in mathematics learning, specific guidance for teachers to implement this practice…

Literature on learning trajectories is reviewed, and challenges in developing designs to support responsive instruction are highlighted. A distinctive form of design called a "multi-dimensional instructional framework" is introduced. These frameworks span key dimensions of mathematisation, such as notating and distancing the setting,…

In this article, the authors introduce the "Pre-K-12 Guidelines for Assessment and Instruction in Statistics Education II (GAISE II): A Framework for Statistics and Data Science Education" report. This report, which was published by the American Statistical Association (ASA) and endorsed by the National Council of Teachers of Mathematics…

This paper contributes to the Research Symposium, "Strengths approaches in early childhood mathematics education" by providing an illustration of how an early childhood centre adopts a strengths approach to mathematics education for birth to three-year-old children. A case illustration is drawn from a current Australian Research…

Teacher identity provides useful insights into the learning and practices of teachers. The complexity of identity, however, makes it difficult to use in empirical research. An analytical framework with two components is presented. This analytical framework comprises a framework for identity as an embedder-of-numeracy, which clearly defines a…

Self-regulated strategy development (SRSD) is an instructional framework considered to be an evidence-based practice in writing. In this article, SRSD's foundations and structure is briefly described. Then, the authors provide a summary of studies of SRSD applied across content areas, including writing, reading, mathematics, science, and social…

Simulation is an effective tool for analyzing probability models as well as for facilitating understanding of concepts in probability and statistics. Unfortunately, implementing a simulation from scratch often requires users to think about programming issues that are not relevant to the simulation itself. We have developed a Python package called…