The objective of this article is to describe types of mathematical reasoning evidenced by a middle school mathematics teacher, when answering two generalization questions in a figural pattern generalization task, related to quadratic sequences. Reasoning is delimited from teacher's arguments, reconstructed from a theoretical-methodological…

Countries across the world have seen a growing gap in mathematics performance between low-SES children and those from wealthier backgrounds. The issue of inequality not only relates to student performance, but also to schooling--as defined by the mathematics curriculum and its distribution of the related opportunities to learn. Whether…

The purpose of this study was to analyze the problem-solving techniques that students in a fifth-grade classroom applied while solving mathematical word problems. Fifth-grade students in a private school with Ministry of Education curricula in Al Ain, Abu Dhabi, were given a set of 15-word problems to solve with detailed justifications. The…

This study investigates the implementation of the learning management model based on cognitive development theory to enhance mathematical problem-solving ability for Prathomsuksa 6 students. The sample group assigned by cluster random sampling was thirty Prathomsuksa 6 students of Chumchon Yot Kaeng Songkhro School. The research instruments…

During a typical family mathematics night (FMN), families are invited to a school, and parents and guardians work on mathematics activities with their children while teachers facilitate activities and share information on how to better support children in their mathematical development. How might this engagement change when information is not…

Background/Context: In this study, we draw on evolving definitions of opportunity to learn (OTL) to conceptualize mathematics OTL has having two main components: structural OTL, defined by gatekeeping access to specific mathematics courses through the process of tracking, and instructional OTL, defined by the learning experiences of students in…

In this paper, we revisit a long-running conversation about situated learning and the design of environments for disciplinary engagement. Throughout the 1970s and 1980s, scholars advanced an anthropological critique of the then-dominant acquisitionist paradigm of formal schooling with a situated view focused on membership in communities and…

Background: Traditional mathematics logics lead to inequities that reproduce narratives such as the myths of racialized and gendered hierarchies of mathematical ability (Hottinger, 2016; Martin, 2009). Black girls sit at the bottom of both racialized and gendered hierarchies; however, research over the past decade has provided evidence that Black…

In mathematics, the expectation to set up and solve word problems emerges as early as kindergarten; however, many students who experience mathematics difficulty (MD) and dual-language learners often present with specific challenges in this area. To investigate why these populations experience word-problem difficulty, we examined the word, problem…

The present study adds to an ongoing debate about third spaces in teacher education, spaces where theory and practice come together. One third space is constituted by the written tasks from practicum. Yet research has shown only modest emphasis on theory in such tasks. Tasks from two versions of a programme are used to represent two different…

The goal of the study was to examine the role of students' gender, their disruptive behaviors, and parental income on their mathematics achievement history. Participants included 8,984 individuals aged 12-16 years and the data were collected from the National Longitudinal Surveys (NLS). The study results showed that there was not any significant…

The learning of calculus concepts is considered challenging for students. This claim is actual for calculus in general and for specific concepts in particular. In this paper, we focus on the concept of the inflection point. We argue that one of the roots of this problem is the lack of a useful and productive meaning of the concept--the…

Calculus is traditionally tested, at least in part, by a closed book written examination taken under secure conditions. In March 2020, two-thirds of the way through a vector calculus course, our institution went into lockdown and all teaching and assessment had to shift online. While some teachers insisted that remotely written non-proctored…

In this study we aimed to capture the characteristics of Chinese high-quality lessons from a lesson structure perspective, specifically addressing the elements of teaching activity and their sequence. Sixteen videotaped middle school mathematics lessons were selected from 224 daily lessons collected from urban districts in five cities located in…

Several studies have shown that children do not only erroneously use additive reasoning in proportional word problems, but also erroneously use proportional reasoning in additive word problems. Traditionally, these errors were contributed to a lack of calculation and discrimination skills. Recent research evidence puts forward an additional…