Learning standards such as the "Common Core State Standards for Mathematics" [CCSSM] (NGA Center & CCSSO, 2010) advocate that we develop students' algebraic thinking "beginning in kindergarten." Such a tall order requires innovative approaches that re-imagine what teaching and learning mathematics means for the elementary…

Understanding fraction as a quantity has been identified as a key developmental understanding. In this study, students in Grades 5, 8, and 11 were asked to compare the areas of two halves of the same square--a rectangle and a right triangle. Findings from this study suggest that students who understand fraction as a quantity use reasoning related…

We present a framework designed to help categorize various sense making moves, allowing for greater specificity in describing and understanding student reasoning and also in the development of curriculum to support this reasoning. The framework disaggregates between the mechanisms of student reasoning (the cognitive "tool" that they are…

For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject…

This study reports on the design and implementation of an equity-focused, project-based algebra curriculum in two advanced eighth-grade classrooms. We document with substantial detail a promising approach to capturing how students demonstrate and build robust mathematical understandings in ways that strongly connect to equity issues. We illuminate…

This paper discusses Implementation of a new educational approach to develop competencies for the future STEM workforce, and to build knowledge on success factors for educating a non-traditional target population in data competencies. It is widely accepted that a data capable workforce is critical to science and industry. The literature suggests…

The Learning Passport project is part of a joint collaborative project that involves UNICEF and the University of Cambridge based around a Programme Cooperation Agreement (PCA) between Cambridge University Press and UNICEF signed in April 2019. The goal of the project is to develop a blueprint curriculum framework as a basis for programme and…

National mathematics achievement results show that elementary students in the United States are not increasing in cognitive ability or critical thinking skills (NAEP, 2020). For this increase, mathematically promising students require more opportunities for cognitively demanding mathematics instruction. As a result, this descriptive study focused…

The present study investigated the math self-efficacy of homeschool parents and whether there was a correlation between parental math self-efficacy (PMSE) and parents' choice of mathematics curriculum. A simple random sample of parents with at least one child enrolled in Classical Conversations (N = 223) completed a survey to measure their math…

The use and understanding of mathematics is a crucial component of the physical sciences. Much work has been done in physics education research and science education more broadly to determine persistent difficulties with mathematics. This work has led to the development of numerous problem solving strategies aimed at helping learners approach…

Research Findings: This study uses data from a comprehensive meta-analytic database of early childhood education (ECE) program evaluations published between 1960 and 2007 in the United States to examine the incremental effects of adding enhancement program components to ECE programs on children's cognitive abilities, pre-academic skills,…

This is one of two papers developed for a Ministry of Education (MOE)-funded project, Competencies in New Zealand Council for Educational Research (NZC). The first paper draws on archived policy discussion papers to document the provenance of the NZC key competencies. This second paper analyses a series of research projects to describe how…

This paper illustrates the use of curriculum mapping as a process that can support productive boundary encounters between lecturers in an initial teacher education (ITE) programme as part of curriculum review. Using mathematics as the context, lecturers in a 1-year primary graduate ITE programme developed a curriculum map to identify the…

The mathematical construct of dimension is one of the fundamental ideas for developing a sound understanding of two-dimensional (2D) and three-dimensional (3D) shapes. Yet, research in mathematics education has rarely explored children's understanding of dimension in primary education. This paper explores how year 5/6 (9 to 11 years old) children…

Links between mathematical attainment and economic performance, coupled with England's poor showing in international comparisons of skills, have focussed attention on post-16 mathematics education, for example, in the UK Government's 2017 Industrial Strategy. Whilst high-stakes academic qualifications at 16 (GCSE) and 18 (A-level) have stood the…