The success or failure of education systems in promoting student problem-solving skills depends on attitudinal, political, and pedagogical variables. Among these variables, the design of mathematics textbooks is thought to partially explain why students from high-achieving countries show better problem-solving ability in international assessments.…

While classical studies have highlighted the many potential benefits of using original historical sources in the classroom, few studies have documented actual classroom practices outside of research contexts. In this case study, I aim to describe and explain how five French high school teachers autonomously designed and implemented classroom…

While there are several studies analysing how mathematics education is portrayed in news media discourses, there has been little examination of the construction of different stakeholders (e.g. teachers, parents, curricula). In this paper, we report our analysis of a corpus of Canadian newspaper reports on mathematics education, focusing on the…

Posing mathematical literacy problems is one of the challenging issues in literacy studies. The present study focused on how to develop the ability to pose mathematical literacy problems. Within the context of the training given to middle school mathematics teachers on how to pose mathematical literacy problems, literacy problems were introduced.…

Note-taking in tertiary education is a challenging activity which requires listening, processing and recording new information at the same time. However, in lectures at a high presentation rate, students often have to choose between these activities. One solution which is frequently proposed to mitigate this problem is the use of guided notes,…

Mathematical literacy and knowledge play a significant role in the formation of competencies. The purpose of the study is to determine the levels of mathematical literacy and their dependence on the type of thinking and the level of creative abilities in a distance learning environment. The research objectives are as follows: assess thinking (by…

This theoretical paper sets forth two "aspects of predication," which describe how students perceive the relationship between a property and an object. We argue these are consequential for how students make sense of discrete mathematics proofs related to the properties and how they construct a logical structure. These aspects of…

In recent decades, there has been considerable research that explores the teaching and learning of combinatorics. Such work has highlighted the fact that understanding and justifying combinatorial formulas can be challenging for students, and there is a need to identify ways to support students' combinatorial reasoning. In this paper, we…

This paper discusses a project for linear algebra instructors interested in a concrete, geometric application of matrix diagonalization. The project provides a theorem concerning a nested sequence of tetrahedrons and scaffolded questions for students to work through a proof. Along the way students learn content from three-dimensional geometry and…

This article deals with an introduction of probability at school through sensory modalities. This approach is based on sampling fluctuation with empirical observations of frequencies. Initially, we analyze how students from high school work on such a task by using dice, pencil, and paper. We then identify the use of schemas and data visualization…

Comfort and preparedness are dispositions that along with teacher knowledge, comprise teacher quality (cf. Clarke & Hollingsworth, 2002). Professional development programs that help teachers understand and respond to individual students' strengths and needs can support equity in the classroom by building teachers' preparedness and comfort,…

The purpose of this study was to use a quasi-experimental design (QED) to examine the effectiveness of i-Ready Personalized Instruction on student achievement on a summative state assessment (Massachusetts Comprehensive Assessment System; MCAS) in a year of learning disruptions from the COVID-19 pandemic. The study sample consisted of about 11,000…

Tangible coding toys have been promulgated as useful learning tools for young children to learn computer science and mathematics concepts and skills. Although research shows coding toys can support mathematics for early childhood aged children, little is known about the specific design features of coding toys that afford mathematical thinking…

The COVID-19 pandemic has created an opportunity for K-12 schools to rethink and redesign instruction. The urgency to continue providing students with education accelerated the blend of face-to-face instruction and online learning in K-12 education. Blended learning is any formal education program that combines face-to-face instruction with online…

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…