Effective teaching requires enjoyable classroom tasks aimed at promoting students' learning of mathematics meaningfully, and previous research has demonstrated that the use of origami activities in mathematics classrooms can help achieve that goal. In this article, the authors describe their "LOVE MATH" one-straight-cut letter origami…

This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

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…

Successful integration of problem-solving in mathematics classrooms lies mostly with the assistance and support teachers get. Many studies have been conducted on the strategies teachers can use to integrate problem-solving in their teaching of mathematics, however, few studies have been conducted on frameworks/models that can assist teachers and…

Two simple discrete-time models of mutation-induced cannibalism are introduced and investigated, one linear and one nonlinear. Both form the basis for possible classroom activities and independent investigative study. A range of classroom exercises are provided, along with suggestions for further investigations.

This paper presents research that exists at the crossroad of scholarly practice and scholarly inquiry. We outline the process in the design, enactment, and empirical examination of an elementary methods course activity, Exploring and Supporting Student Thinking (ESST), which engaged 18 elementary prospective teachers (PTs) in two sessions of…

The authors describe how the Monty Hall Dilemma, a well-known choice anomaly, can be demonstrated with a simple and versatile classroom experiment. In addition to demonstrating the anomaly, the experiment can be used to introduce students to some institutional modifications that have been shown to ameliorate it. This experiment, which can be…

Dealing with problem-solving has been a growing challenge in teaching engineering and over the career of these professionals. To increase the ability to understand a problem and consequently improve the quality of the solutions, an exercise was proposed to students of an MBA program, and they have experienced some challenges on interpreting…

Teaching fairness is very important for inclusive teaching, which requires teachers' creation of a fair classroom atmosphere and helps students construct their own meaning while learning. In the inclusive teaching framework, the present study descriptively explores the cooperative English class for fair education, especially providing impartial…

Our goal in this article is to discuss the importance of problems in early childhood education for the child's development and engagement with the mathematics existing in childhood culture. Our assumption is that an important task for young children's education is to create a democratic and critical environment, in which multiplicity of…

This article investigates how students in third grade learn to reason on multiplication when they first encounter that concept in the classroom context. By analysing the data from 24 classrooms focused on teaching and learning multiplication, the article aims at contributing to the research and conceptualisations about how students learn to…

This article considers the very real issues many of us face in the classroom when we, and our students, confront difficult or depressing issues, situations, or materials. Working with topics such as human rights abuses, environmental degradation, racism and xenophobia, and poverty among many others, students and faculty can experience compassion…

This article describes how a teacher in Mexico City worked with two researchers on an instructional design project to help kindergartners become proficient in participating in whole-class mathematical conversations.

In large music ensembles, directors make countless instructional decisions on a daily basis that indicate their learning priorities and guide student learning. In particular, expert music directors (i.e., those having earned a master's degree and/or National Board Certification) have advanced problem-solving strategies and effective means of…

Contemporary curriculum demands the development of both problem solving skills and negotiative skills required for collaborative group work. Tasks are required that create the best possible conditions for students to develop both of these skill sets. Open-ended tasks have been shown to provide these conditions, but they also require the teacher to…