We propose an original machine that traces conics and some transcendental curves (oblique trajectories of confocal conics) by the solution of inverse tangent problems. For such a machine, we also provide the 3D-printable model to be used as an intriguing supplement for geometry, calculus, or ordinary differential equations classes.

This paper presents a semester-long bottle design project for an undergraduate Numerical Analysis course. Students implement numerical methods in MATLAB to design and 3D print a bottle. Employing mathematical methods to compute features of their designs enhances students' understanding of numerical techniques in design applications. Student…

The paper addresses concept formation processes of a student in the field of geometry. More precisely, the paper deals with the question of how to assist a student in a mathematical concept formation process -- in the context of area calculations in triangles -- with a specially designed learning environment based on the usage of 3D printed…

Mathematics education often grapples with the challenge of teaching abstract mathematical concepts, particularly those existing in 3D space. Visualizing, manipulating, and comprehending these abstract objects can be a formidable task for learners. While 3D printing technology has found applications in various fields, its utilization in mathematics…

This paper reports on a mixed-methods, design-based study conducted with five classes of Primary 6 (age 11-12 years) students learning the properties of 3D solids. The researcher and participating teachers designed mathematics lessons that integrated the hands-on construction of artifacts (i.e., making) with a class set of 3D printing pens to…

The authors introduce the readers to a project that highlights digital heritage in early childhood. The highlighted teachers partnered with an anthropologically-trained archaeologist who utilizes advanced digital technologies to enhance public understanding of cultural heritage. This collaboration emphasized social studies and reinforced…

This paper reports on a case study of two elementary school students with mathematical learning disabilities (MLD) (ages 10 and 11) using augmented reality (AR), digital and physical modelling in mathematics class. MLD students worked on modelling geometric shapes (cubes, cuboids, squared pyramids, and octahedrons) and forms (polygons) by…

Previous research has verified the benefits obtained when learners trace out worked examples with the index finger. Our study conducted two experiments to explore the reasons for this phenomenon and its generalizability. Experiment 1 compared the learning effects among tracing, non-tracing, and cueing methods. The cueing method was included to…

The purpose of the study was to explore the development of discourses that emerge as a result of inservice teachers being engaged in a richly situated technological task that incorporated geometric spatial sense development and the engineering design processes. Typically, learning has been approached as a discrete set of tasks to be mastered…

Advances in mechanical and electrical engineering and an evolving workforce have prompted education systems in the United States to incorporate technology as both a subject of learning and a pedagogical tool. The rising workforce must be literate in the use, maintenance, and creation of technologies as more labor and service jobs become automated.…

With the rise of personal desktop 3D printing, a wide spectrum of educational opportunities has become available for educators to leverage this technology in their classrooms. Until recently, the ability to create physical 3D models was well beyond the scope, skill, and budget of many schools. However, since desktop 3D printers have become readily…

Tangible models help students and researchers visualize chemical structures in three dimensions (3D). 3D printing offers a unique and straightforward approach to fabricate plastic 3D models of molecules and extended solids. In this article, we prepared a series of digital 3D design files of molecular structures that will be useful for teaching…

A 3D printer is used to prepare a variety of models representing potential energy as a function of two geometric coordinates. These models facilitate the teaching of structure-energy relationships in molecular conformations and in chemical reactions.