The process of investigating some of the properties of diagonals and other geometric concepts with a group of 11-year-old girls is presented. Possible changes that could have been made in the lesson are discussed, and examples of individual student work are provided. (MP)

Children's responses to a discovery learning exercise are discussed. (DT)

In this article, the author discusses a project involving the observation of 12 teachers in different schools, teaching pupils at Key Stage 3 of differing ages and abilities, noting both questioning techniques used and pupils' responses. The teachers involved were volunteers, chosen to give a range of experience, styles, and school, and included a…

A description is given of a lesson on two digit multiplication with nine-year olds that utilizes trial and error and partitioning of the problem in a discovery type approach. (MN)

An example of a lesson involving calculators that focused on calculator use is given. An examination of the traditional algorithm by the students led to student-directed investigations. (MP)

The exploration mode of content presentation is discussed. (MP)

Aspects of the instruction of trigonometry in secondary school mathematics are reviewed. Portions of this document cover basic introductions, a student-developed theorem, the cosine rule, inverse functions, and a sample outdoor activity. (MP)

Allowing students to use a polystyrene cutter to fashion their own three-dimensional models is suggested as a means of allowing individuals to experience problems and develop ideas related to solid geometry. A list of ideas that can lead to mathematical discovery is provided. (MP)

A lesson for secondary mathematics pupils on prime numbers designed to capture student interest is presented. The emphasis is on developing lessons that act as motivating forces in the classroom. (MP)