Student insight into algebraic formulas, including the ability to identify the structure of a formula and its components and to reason with and about formulas, is an issue in mathematics education. In this study, we investigated how 16- and 17-year-old pre-university students' insight into algebraic formulas can be promoted through graphing…

This report examines one teacher's attempts to differentiate instruction every day, in a dynamic teaching and learning environment. The report is part of a larger study that utilised a network of theories approach, coordinating the documentational approach to didactics (DAD) and Thompson and Harel's theory of meanings, to examine teachers'…

Adoption of online resources to support instruction and student performance has amplified with technological advances and increased standards for mathematics education. Because teachers play a critical role in the adoption of technology, analysis of data pertaining to how and why teachers utilize online resources is needed to optimize the design…

Context personalization is an instructional design principle where tasks are presented to students in the context of their interest areas like sports, music, or video games. Personalization allows for understanding of domain principles to be grounded in concrete and familiar experiences. By making connections to prior knowledge, personalization…

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014) gives teachers access to an insightful, research-informed framework that outlines ways to promote reasoning and sense making. Specifically, as students transition on their mathematical journey through middle school and beyond, their knowledge and use of…

Success in Algebra I often predicts whether or not a student will pursue higher levels of mathematics and science. However, many students enter algebra holding persistent misconceptions that are difficult to eliminate, thus, hindering their ability to succeed in algebra. One way to address these misconceptions is to implement worked-examples and…

The demand for graduates with Science Technology Engineering and Mathematics (STEM) degrees continues to rapidly increase. By 2018, the majority of positions that require a minimum of a bachelor degree will necessitate considerable mathematics and/or science training. In order for students to access, persist, and complete STEM majors, they must…

Title III is a federal entitlement through the Every Student Succeeds Act (ESSA) that provides supplemental resources for English Language Learners (ELL) and immigrants students who have recently arrived to the U.S. More specifically, Title III funding supports student language acquisition and academic achievement. Depending on the English…

This paper presents a way of utilizing interdisciplinary relations between two educational branches, Mathematics and its applications and Information technologies (ICT) in integrated learning by the use of the Scratch programming language. The authors also present how they understand the concept of integrated learning and why they have chosen to…

We compared students' learning gains in authentic seventh-grade classrooms (N = 144) in 4 different interventions that incorporated a computer game that aims to teach players to solve linear equations. Significantly higher learning gains were measured in the implementations that were specifically designed to mediate the attribution of algebraic…

Formative assessment benefits both students and teaching academics. In particular, formative assessment in mathematics subjects enables both students and teaching academics to assess individual performance and understanding through students' responses. Over the last decade, educational technologies and learning management systems (LMSs) are used…

Reflection is an important part of teaching and needs to be considered carefully. In this study, we examined a mathematics instructor's reflections on teaching linear algebra. The research team employed Tall's (How humans learn to think mathematically: exploring the three worlds of mathematics. Cambridge University Press, Cambridge, 2013)…

There is relatively little research specifically about student understanding of basis. Our ongoing work addresses student understanding of basis from an anti-deficit perspective, which focuses on the resources that students have to make sense of basis using everyday ideas. Using data from a group of women of color in the United States, we…

This article is a follow-up to an earlier paper on the mathematics support learning tutorial programme (SLT), an intervention programme at The University of Queensland that targets students considered to be at risk of failing Calculus and Linear Algebra I, the first tertiary level mathematics subject at The University of Queensland. The first…

Introducing new concepts to learners in an order of increasing complexity appears to be beneficial for learning, but typically introduction of concepts does not always adhere to this principle. We examined whether introducing new algebra concepts in a contrasted manner or in an order of increasing complexity instead of a different more typical…