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
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.
A Doctoral Thesis. Submitted in partial fulfillment of the requirements for the award of Doctor of Philosophy of Loughborough University.