When the author began teaching, she always hit a problem when it came to 3D shapes. She wanted the pupils to get a feel for them, and she would get them to make the shapes from their nets. The pupils would first try to visualize how the 2D nets could become 3D shapes and then they would physically fold the nets into the shapes for themselves.…

There are many interesting explorations that can be done in knot theory, the study of mathematical knots. This article offers some knot theory activities that are appropriate for elementary grade children. These activities teach some basic concepts from knot theory as a natural extension of commonly-taught geometric ideas. (Contains 10 figures.)

This article is the third in a series of articles describing a research project entitled "Entering into Symbols" (EIS) on the use of mathematical applets at key stages 2 and 3. The first two articles, in "MT200" and "MT203", described applets designed to teach place value ("Tuckshop subtraction") and basic algebra ("Matchbox algebra"). In this…

In this article, the author describes a lesson he observed involving a function machine. This function machine was a box with a slot at the top of one side and a large cut-out hole at the bottom of the opposite side. A card with a number written on it (the input) was pushed into the slot and the teacher put their hand through the hole of the other…

In this article, the author describes his categorization of practical mathematical tasks using drama, body maths, and a host of outlandish props. He categorizes the lessons under three headings--demonstration, teamwork, and creative display--partly as a means of furthering the invention of more activities within each classification. His…

In the renewed "Primary Framework for Mathematics" for England, great emphasis is given to calculation and its prerequisites (DfES, 2006). Expectations are increased for calculations and the recall of number facts, with mental calculation owning a higher profile, while progression in written calculation is clarified. The greater focus on…