In this article, the goal is to describe students' mathematical reasoning in the context of different settings of problem-solving tasks. The core of the tasks are real objects, which are presented to the students with the help of photos, a 3D model or in the environment itself. With reference to the experiential learning theory and relations to…

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

A science, technology, engineering, and mathematics-influenced classroom requires learning activities that provide hands-on experiences with technological tools to encourage problem-solving skills (Brophy et al. in "J Eng Educ" 97(3):369-387, 2008; Mataric et al. in "AAAI spring symposium on robots and robot venues: resources for AI…

Mathematics is a subject which seeks to understand patterns that permeate both the world around us and the mind within us. There are many ways of thinking and the kind of thinking one learns in mathematics is an ability to handle abstraction and solve problems that require knowledge of mathematics. Mathematical creativity is essential for…

The goal of this paper is to promote computational thinking among mathematics, engineering, science and technology students, through hands-on computer experiments. These activities have the potential to empower students to learn, create and invent with technology, and they engage computational thinking through simulations, visualizations and data…

This article describes a unit of work that was designed for a Year 9 class of mixed ability and which involved the definition and measurement of angles, as well as the practical application of angle properties--such as complimentary angles and the relationships in a transversal. The unit considered the numeracy skills required to interpret a…

This paper describes a novel method for the delivery of an introductory module on survey sampling at a third-level institution. As part of the module, students undertake a practical survey that is of interest not only to themselves but also to university administrators and other module coordinators. Unlike many data collection activities used in…

Incorporating business skills such as problem-solving, public presentations, collaboration, and self-direction into STEM (science, technology, engineering and mathematics) subjects is an excellent way to build students' enthusiasm for these disciplines. When educators add workplace internships to the learning experience, they are well on their way…

The Magic Mathworks Travelling Circus is a touring maths lab--in and of itself, a good thing. When children enter it, they find particular pieces of apparatus captioned with particular challenges--which is perhaps not such a good thing. Students are faced with an apparatus that can do only one thing, and so are not encouraged to look again at…

The sweeping impact of our times has affected all segments of society, universities included. Society's perception is that universities have not responded to changes, and criticism has been directed at tuition costs, access and willingness to reach out to the community. Yet universities are key if this country is to maintain its leadership as an…

Beginning with a construction problem admitting a classical solution, the authors provide other solutions based on algorithmic estimation and transformational geometry. The latter methods are generalized to suggest solutions to other problems; hints to these solutions are provided. Teacher-student discussion could lead in many directions. (SD)

This book offers games and mathematics activities using a hands-on approach for middle school students and features games, puzzles, experiments, and projects. Contents include: (1) "Boxed In!"; (2) "Oddball"; (3) "Pig"; (4) "Madagascar Solitaire"; (5) "Fantastic Four"; (6) "Eratosthenes' Sieve"; (7) "Hopping Hundred"; (8) "Tic-Tac-Toe Times"; (9)…

Tac Tix is a board game for two players having a mathematical optimum strategy for play. The strategy can be discovered by application of general problem solving techniques. (JP)