We offer criteria that an observer can use to determine whether an argument that uses an example to argue for a general claim appeals to that example generically. We review existing literature on generic example and note the strengths of each contribution, as well as inconsistencies among uses of the term. We offer several examples from the…

The continuum is one of the most difficult mathematical concepts for undergraduate students. We hypothesize that among the difficulties they face in relation with this notion, the graphical evidence provided by the number line fosters the idea of a dichotomy between discreteness and continuity, hiding the property of density-in-itself, i.e. the…

Educators increasingly recognize the importance of disciplinary literacy for student success, beginning as early as the primary grades. This cutting-edge volume examines ways to help K-12 students develop the literacy skills and inquiry practices needed for high-level work in different academic domains. Chapters interweave research, theory, and…

Research Findings: Conversing abstract concepts boost children's language learning. Despite the numerous studies on the linguistic environment of early childhood education settings (ECE), most of this work disregards contextual factors that may influence abstract conversations and omits characteristics of children's verbal participation in these…

This research aims to: (1) develop a feasible Android-based comic media of Gajah Mungkur Dam, and (2) reveal the effectiveness of the developed comic media in improving mathematical representation and critical thinking abilities on the materials of work and energy. The research subjects are senior high school students, consisting of 262 students…

With an increasing number of English Language Learners (ELLs), the landscape of public schools in the United States has been rapidly changing. However, ELLs' academic performance is consistently lower than their native English-speaking peers' and many in-service teachers feel ill-prepared to teach ELLs in a culturally and linguistically responsive…

The challenges involved in navigating between home, school and academic languages, especially in a low resource context, have been well documented in the literature. Processes and strategies that allow the use of students' "language as resource" have also been suggested by research. In the context of explorations, where students work…

This paper analyzes factors that affect the numeracy skills of secondary school students from mountainous and ethnic minority regions in Vietnam from the perspective of the students to create suitable strategies for teachers, parents, and the government to enhance their numeracy skills. Data from 755 students in 8 secondary schools in 8 provinces…

Given the ongoing development of computer-based tasks, there has been increasing interest in modelling students' behaviour indicators from log file data with contextual variables collected via questionnaires. In this work, we apply a latent regression model to analyse the relationship between latent constructs (i.e., performance, speed, and…

Transitional engineering students are those who are academically ineligible to enter a bachelor's engineering program but are enrolled in an associate engineering program with a university. Successful completion of such an associate engineering program allows the higher achievers to transfer to a full bachelor's engineering program. The associate…

Although lesson study has been shown to improve the teaching and learning of mathematics, little research has focused on reasons for engaging in it from a teacher's perspective, particularly after sustained engagement with lesson study. This qualitative study reports on thirty-three teachers from the United States who were involved in twelve…

Two broad categories of instructional practices, (a) explicitly attending to concepts and (b) fostering students' opportunities to struggle, have been consistently linked to improving students' mathematical learning and achievement. In this article, we describe an effort to build these practices into a framework that is useful for a diverse set of…

This study examined the effect of a teaching mathematics with technology course on preservice elementary teachers' (PSETs) and preservice secondary mathematics teachers' (PSTs) beliefs about teaching with technology and beliefs about the nature of learning and teaching mathematics. All preservice teachers enrolled in the methods course engaged in…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

This study evaluated the implementation and effectiveness of My Math Academy and My Reading Academy, two digital learning programs, in supporting early math and literacy skill development during the 2021-2022 school year in Tyler Independent School District, Texas. In a district where 85% of students were eligible for free and reduced-price meals,…