This paper reports on our study of the effectiveness of the course instruction in the numeracy course 'Numbers for Life', offered at McMaster University, Canada, and taught by one of the co-authors. In this course students explore the ways to reason with numbers in a variety of contexts important not only for their individual lives and their…

This study aims to identify the predictors of mathematics teaching anxiety among Filipino preservice elementary teachers. This research utilized a descriptive-correlational research design. Data were obtained through a descriptive survey from 145 students, selected using stratified random sampling from a state university in Central Luzon,…

In this paper, we describe our extension of the action, process, object, schema (APOS) theory to capture the complex interplay of mathematics and physics. We do this in the context of the 2D heat equation. We describe a hypothetical learning trajectory of the 2D heat equation, a preliminary genetic decomposition that stresses the conceptual…

In this study, we explored elementary school teachers' experiences working on open-ended mathematics tasks during a 10-day professional development (PD) workshop. Teachers engaged with the tasks daily in a session call Morning Math (MM). Thirty-two elementary teachers from three school districts in the USA participated in a 2-year professional…

Research on the interaction between curricula and textbooks--particularly the textbook development process--is critical for understanding their reciprocal influence. While mathematics textbooks are typically developed in response to curriculum revisions, textbook research can also inform and shape subsequent changes to the curriculum. This study…

This article investigates the potential mathematical learning opportunities arising from a digital activity designed to enhance students' comprehension of equations. Employing a commognitive-oriented lens, the analysis explores the potential mathematical discourses that could emerge from students' interactions with a digital scale inspired by the…

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…