Technology-mediated interactions and datafication are increasingly central in contemporary social dynamics and institutions, including teaching and learning processes. In order to fully understand the complex entanglements of human and non-human actants that emerge in postdigital education, it is essential to imagine new methodological approaches…

This paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the development…

Describes two sets of activities designed to stimulate thinking skills and to bring some topological aspects into the mathematics curriculum. One set explores Mobius strips; the other set deals with tori. The activities are suitable for students in fourth through eighth grades. (JN)

Describes various movement activities through which young children may discover topological relationships which provide a foundation for their growing understanding of space. (CM)

Topics discussed include: reasons for strategies; the use of a hierarchy of spaces from topological to Euclidean in teaching; structural strategies; pedagogical strategies; and mathematical strategies. (MP)

The value and technique of pre-geometry and geometry instruction in the primary grades are discussed. Geometric concepts such as open and closed figures, connectedness, similarity, congruence, straightness, and angle are presented through suggested activities, lesson plans, and evaluation procedures. (SD)

The author's experience in leading activities related to the Mobius strip to a fourth-grade class is discussed. (SD)

The letters of the alphabet can be classified according to their geometric and topological characteristics on these worksheets. An additional worksheet provides for tallying the frequency of usage of the letters in three sentences. (SD)

A series of maps is presented for coloring with the fewest possible colors. (SD)

Describes graph theory and topology and its use by a programmer analyst in his job. Contains reproducible student worksheets. (MKR)

The "geometry of distortion" and some prestidigitation show kids that lines, surfaces, and planes are not always what they seem. (Editor)

Describes a journal-writing project involving the best route to travel from one place to another and presents some student responses. (MKR)

Discusses flexible polyhedrons, called flexors, that can be bent so that the faces stay rigid while the angles between them seem to change. Presents models representing flexors and directions on how examples can be constructed. (MDH)

Described is a way to use knots to relate a three-dimensional object to a two-dimensional representation of the object. The results are used to produce an algorithm or rule to explain a general case. Included are examples, diagrams, procedures, and explanations. (KR)

Presents a proof of Euler's Theorem on polyhedra by relating the theorem to the field of modern topology, specifically to the topology of relief maps. An analogous theorem involving the features of mountain summits, basins, and passes on a terrain is proved and related to the faces, vertices, and edges on a convex polyhedron. (MDH)