Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…

In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

Background and Context: Integrating computer science (CS) and math in classrooms is an increasingly recognized way for schools to address national CS mandates. There is a need to understand how professional development (PD) can support teachers to integrate. Objective: We examined math teachers' interest, and confidence, in math, CS, and student…

Teachers perceive student engagement in many ways, and do not necessarily align engagement strategies they employ with their own conceptualization of this construct. This situation is worsened in online learning of which popularity has grown since the emergence of the COVID-19 global pandemic. We explored perceptions of student engagement in…

We present in this paper a pair of approaches to support mathematics educators and learners in formulating original tasks. In particular, we facilitate the posing of rich mathematical problems by using two novel methods that were created by a mathematics department at a K-12 school in the United States, and further developed alongside our students…

The National Council of Teachers of Mathematics (NCTM 2014) takes a clear stance that each and every student should have rich experiences in mathematics classrooms. In 2015, the Every Student Succeeds Act noted that Universal Design for Learning (UDL) is an evidence-based, scientifically valid framework that fosters access to instruction for all…

Recent research on learning analytics dashboards has focused on designing user interfaces that offer various forms of "visualization guidance" (often referring to notions such as "data storytelling" or "narrative visualization") to teachers (e.g., emphasizing data points or trends with colour and adding annotations),…

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

The current study investigated differences in lexical knowledge of Arabic learners whose age of onset (AO) of exposure to English medium instruction (EMI) was at the elementary, secondary, and tertiary educational levels. Ninety undergraduate students enrolled in a public university in the UAE took part in the study. Data collection involved a…

Learning about components and processes of complex biological systems is challenging and requires abstraction through mediational tools such as text, visuals, models and visualisation experiences. The 'systems concepts' necessitate building coherent relations and anticipating consequences, requiring greater mediational support. This article…

Aim/Purpose: The aim of this paper is to present a systematic review of studies conducted on mobile-assisted task-based learning between 2013 and 2022. The primary objectives of the review are to elicit educational and learning contexts, research areas and foci, research trends, methodologies, data collection techniques, mobile technology used,…

In the divergent discovery style of teaching the teacher designs problems that engage students in finding multiple solutions. The purpose of this article is to show how physical educators can use the divergent discovery style in the gymnasium. A brief description of this style and its connection to the SHAPE America National Standards for K-12…

Implementation of the Common Core Mathematical Standards and Practices (CCSS) has emphasized the importance of instruction that develops both procedural knowledge and conceptual understanding. Novice teachers have experienced the implementation of the CCSS during their PreK-12 experience, as well as within their teacher preparation program. It may…

I present my perspective on the design process in this article, arguing for a focus on student learning and "slow design" that stems from knowledge of mathematics and their support system in the learning process. I have a question about the design process academization and task design research direction. Numerous examples from my work at…

This study provides a comprehensive analysis of multilingual education, highlighting key issues, methodologies, and future directions in this area. Based on the theoretical foundations of Vygotsky and Krashen, as well as practical approaches such as project-based learning and task-based language learning, the study highlights the importance of…