This article reports on a qualitative investigation into students' thinking about a differential equations problem posing task; i.e. an initial value problem. Analysis of written and verbal responses to the task indicate that only four of the 34 students who participated in the study were successful in posing problems. Furthermore, only one of the…

Developmental mathematics courses play a critical role in ensuring that students have the foundational mathematical skills necessary to succeed in higher educational mathematics coursework. With the introduction of the corequisite format in recent educational reforms, there has been a growing trend towards transferring developmental mathematics…

Building upon the blockbuster success of "Building Thinking Classrooms in Mathematics," Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, "Mathematics Tasks for the Thinking Classroom, Grades K-5." But this book is so much more than…

Using the sawtooth map as the basis of a coupled map lattice enables simple analytic results to be obtained for the global Lyapunov spectra of a number of standard lattice networks. The results presented can be used to enrich a course on chaos or dynamical systems by providing tractable examples of higher dimensional maps and links to a number of…

This article presents a theoretical-didactic perspective on the formation and development of concepts concerning mathematical objects as a result of research on didactic difficulties in dealing with concepts in school. The theoretical foundation that supports the research is based on the contributions of the materialist approach to the theory of…

With the affective turn in education, particularly with the control-value theory (CVT) proposal, a wide range of antecedents of achievement emotions, including psychological capital (PsyCap), have been investigated and verified. It is worth noting, however, that few studies have examined whether cognitive appraisals mediate the association between…

Elementary (5 [approximately] 11 years old) students with mathematics difficulties often struggle with word-problem solving. This systematic review and network meta-analysis aimed to examine the comparative effectiveness of various instructional strategies and their combinations for improving word-problem solving skills in this population. We…

Students encounter hundreds of word problems throughout the elementary grades and on standardized assessments through high school. To demonstrate proficiency on these measures of mathematics competency, students must be skilled in solving word problems. Early detection of word-problem difficulty is essential, and screeners play an important role…

This study explores the specialized knowledge mobilized by a mathematics teacher when implementing an interdisciplinary activity based on the sigmoid function in an 11th grade class. The research aims to identify the mathematical and didactic knowledge elements present during the activity and to detect potential conceptual or pedagogical…

This article describes the efforts of members of the North Carolina Collaborative for Mathematics Learning to provide equitable, engaging, and high-quality mathematics instruction to students, aligning with the vision outlined in the National Council of Teachers of Mathematics's (NCTM) "Principles to Actions" (2014). The statewide…

Findings from previous work show that caregivers' math anxiety moderates the positive association between caregiver-child math activities and child math outcomes. Most of this research, however, has focused on elementary school children, primarily White populations, and used mainstream measures. The present study examined the associations between…

Blended Learning has gained significant attention for its potential to enhance student achievement. However, its implementation in secondary education, especially in developing countries like Ethiopia, faces barriers such as infrastructure limitations, pedagogical challenges, and socio-economic factors. This study aimed to evaluate the effect of a…

This paper investigates how mathematics teachers describe their ethical decision making related to instructional practices, drawing on frameworks that incorporate both rational and non-rational approaches. We employed a multiple-case study method, selecting three teachers as cases through criterion sampling. Data were collected via four…

It is agreed that algebra has an important role in physics, particularly through handling symbols. A lot of previous research has focused on how mathematics is used in physics from perspectives where mathematics is taken for granted, and not addressing potential differences of mathematics in the physics classroom and in the mathematics classroom.…

In response to teacher shortages, short-track teacher education programmes have been established for those with academic degrees in mathematics, who often bring their prior professional identities into teacher education. Given the limited time available to pre-service teachers, teacher education becomes critical in challenging individuals from…