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…

This study is concerned with the analysis of mathematical textbook tasks at the second-level in Ireland, in the context of the introduction of the revised curriculum entitled 'Project Maths'. A total of 7635 tasks on the topics of Pattern, Sequences and Series, and Differential Calculus were analysed; these tasks were selected from editions of…

The primary school mathematics syllabuses in Singapore as of the year 2020 reinforces that Big ideas are central to the learning of mathematics. In support of the push to teach for big ideas, a research study is presently underway. A part of it is on the professional development (PD) of primary school mathematics teachers. As part of the PD…

Comparative studies on paper and pencil--and computer-based tests principally focus on statistical analysis of students' performances. In educational assessment, comparing students' performance (in terms of right or wrong results) does not imply a comparison of problem-solving processes followed by students. In this paper, we present a theoretical…

Informed by decades of research and standards-based policies, there has been a growing demand for high-quality teaching and learning in mathematics and science classrooms. Achieving these ambitious goals will not be easy; students' opportunities for learning as shaped by the tasks they are assigned will matter the most. The purpose of this article…

Purpose: This paper aims to present a case study on how the strong relationships with multiple stakeholder groups can benefit educational programs through the curriculum redesign process by using the experience of Marshall University and Intuit. Design/methodology/approach: This paper highlights how Marshall's faculty used Intuit's Design Thinking…

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 Common Core State Standards for Mathematics emphasize the importance of developing students' conceptual understanding, mathematical reasoning, and problem solving skills. This is a shift from the traditional approach to teaching mathematics and many teachers rely on curriculum resources to help them meet these new standards and expectations.…

To address the upcoming reform curriculum initiative following competency-based learning in Vietnam, this study examines how variations of a contextualized task allow students to experience the mathematical modelling process. We explore how Grade 10 students respond to tasks with different levels of authenticity when they first attempt such tasks.…

Future employers increasingly require work-ready graduates. Higher education institutions throughout the world have responded through reforming the curriculum of major strands of study to incorporate graduate attributes. In this case study, we explicitly taught graduate attributes, obliged students to practice their newfound capabilities, gave…

There is a need for research in STEM (science, technology, engineering, and mathematics) teacher education that addresses the challenge of building teachers' pedagogical skills in fostering the development of mathematical reasoning in students. The Common Core State Standards for Mathematics provide teachers with guidance on how to promote…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…

The data are clear: Too many students are not doing well in school. Too many are experiencing interfering barriers, most of which are not internal dysfunctions but are associated with neighborhood, family, school, and peer factors. If the situation is to change, schools must play a greater role in providing supports for students experiencing…