An interrelated approach to teaching mathematics in secondary schools

This thesis is primarily concerned with the production and evaluation of ideas and materials, based upon an interrelated approach to teaching, which is aimed at arousing curiosity and interest in pupils in secondary schools from the age of fourteen upwards. A case is presented for the consideration of such an approach and a brief account given of how early ideas were formulated. These ideas resulted in the establishment of positive guidelines and strategies upon which the research was to be based. Much emphasis is placed on the significance of effective and attractive written materials for pupils with one chapter being specifically aimed at outlining important aspects of general module preparation. The thesis presents in some detail evaluations of trials carried out with groups of students studying a variety of topics involving mathematical principles. It attempts to describe the successes and failures of various modules of study devised during the research programme and takes special account of comments made by pupils and staff who participated in trials. With the recommendation for a new approach to teaching, effective in-service training of teachers is an essential exercise. Various in-service training programmes organised for teachers and ideas produced during these sessions by enthusiastic, stimulated participants are reported. In addition, the thesis contains proposals for the establishment of a professional centre for mathematical education in schools and colleges within Leicestershire where ideas produced from research projects such as this can be extended, developed fully and subsequently disseminated in an effective manner. In conclusion, the achievements of the research programme are discussed and recommendations and suggestions made for wider use of the interrelated approach to teaching in secondary schools.