This paper is a practical how-to guide to help you start using active learning or to have greater success and more fun with it. We categorize active learning techniques as Think, Pair, Share, Composite, Group, Move, or Lead and discuss how to implement activities in each category, along with advice on creating engaging, effective, and equitable…

This article aims to illustrate how the collective resolution of routine mathematical tasks can give rise to uncertainties, fostering and supporting a rich and authentic mathematical activity. While solving routine tasks may not typically be classified as problem-solving, the research presented in this paper shows that, at the collective level,…

Creativity and collaboration are key components of a mathematician's work, and thus in the preparation of future mathematicians, undergraduate mathematics courses should aim to develop students who can effectively work collaboratively and creatively with one another. Despite this need, research on mathematical creativity has primarily investigated…

Operations Research (OR) is a branch of applied mathematics that deals with optimization problems arising from different real contexts. The solving process of its problems is based on the construction and resolution of mathematical models, showing the possible connections between mathematics and the real world. Nevertheless, OR is not typically…

This article uses a cultural-developmental framework to illuminate the interplay between collective and individual activity in the mathematical reasoning displayed in a university Masters level lesson on fractals. During whole class and small group discussions, eleven students, guided by an instructor, engage in inductive reasoning about the area…

The idea of using social robots for teaching and learning has become increasingly prevalent and robots are assigned various roles in different educational settings. However, there are still few authentic studies conducted over time. Our study explores teachers' perceptions of a learning activity in which a child plays a digital mathematics game…

As instructional leaders who work closely with teachers within and across schools, elementary mathematics specialists (EMS) are positioned well to promote cohesive implementation of impactful pedagogy throughout school districts. However, EMS's work can be impeded if they do not have structured opportunities to collectively grapple with the…

This article describes an inquiry-oriented real analysis classroom in which students were guided to discover mathematics for themselves. To support student inquiry, the framework of "five practices" from K-12 education was used. To illustrate this framework, two case examples are given from actual discussions that took place in this…

Due to the global pandemic, many traditionally face-to-face courses had to transfer to online teaching. We, like many others, were faced with the challenge of replicating online our purposefully-designed mathematics content courses for elementary teacher candidates (TCs). In doing so, our aim was to preserve our pedagogical commitments of…

Students' procedural knowledge and conceptual understanding of matrices can improve when they use technology, in particular spreadsheets, as a tool. Complex real-world applications of matrix calculations are time-consuming and prone to errors if done by hand, yet calculations can be performed easily with spreadsheets. In this article, the author…

This study used a pretest-posttest design to explore the scoring by female preservice teachers (n=25) of student responses to a pattern problem. The treatment consisted of a cooperative activity that required the preservice teachers to assign scores to a rubric intended to enhance careful attention to student reasoning expressed in written…

The objective of this research is to study the "Scratch" programming language as a didactic tool to teach functions. The introduction of didactic tools allowing comprehension in simple and attractive ways is required. Given the traditional teaching/learning system, it is necessary to organize participatory and collaborative dynamic…

This study is motivated by the issues found in observations at school, where the daily teaching activities carried out by teachers show that: teaching and learning activities are classical, the teacher only stands or sits in front of the class, the direct relationship between the teacher and students is rare, and students tend to behave passively,…

The development of creative processes within the framework of music and dance constitutes an opportunity to promote and integrate learning from different subject areas. In these activities, the moments of knowledge transfer between the different parts of the curriculum emerge as key moments in the process. This article identifies and analyses the…

The aim of this study is to develop a descriptive phase model for problem-posing activities based on structured situations. For this purpose, 36 task-based interviews with pre-service primary and secondary mathematics teachers working in pairs who were given two structured problem-posing situations were conducted. Through an inductive-deductive…