In recent years, music education has seen a decline in the number of students choosing to continue their studies at Key Stage 4 (14- to 16-year-old students) and choose music as a GCSE option in England. Whilst the English Baccalaureate (EBacc), a school performance measure which excludes the arts, has come under much scrutiny as to its impact on school music, enjoyment and the perceived importance of music lessons could also be contributing factors to low uptake. This paper presents student survey findings from the first part of a two-phase project that was based on a qualitatively driven mixed-method research design. Findings demonstrated that a decline in enjoyment and in the importance attributed to school music occurred in the first three years of lower secondary school (Key Stage 3). The enjoyment of school music was linked with the students’ engagement with practical components of music making, and its importance was mostly equated with future employment opportunities. The findings are discussed in terms of their practical implications in the teaching of music in secondary schools.

The study aimed to investigate how students in lower secondary schools in England perceive the subject of music in terms of its importance and enjoyment. Following findings from the first survey phase of the project, it specifically sought to shed light on the reasons why the majority of students decide not to choose music as one of their optional subjects at GCSE level. The paper presents interview findings with students in three schools at the north-east of England following the phenomenographic method of data analysis. Among factors found to impact on students’ decision to continue music at Key Stage 4 (ages 14–16 years) were the desire to spend more time learning music, having more choice and autonomy in the classroom, having more information about the content and requirements of GCSE music, feeling disadvantaged due to not being proficient at instrumental playing and having a limited perception of their own musicality or perceiving music as being elite or difficult. The findings are discussed in terms of their practical implications for the teaching and learning of music in secondary schools.

It is widely thought that we have good reason to try to be important. Being important or doing significant things is supposed to add value to our lives. In particular, it is supposed to make our lives exceptionally meaningful. This essay develops an alternative view. After exploring what importance is and how it might relate to meaning in life, a series of cases are presented to validate the perspective that being important adds no meaning to our lives. The meaningful life does need valuable projects, activities, and relationships. But no added meaning is secured by those projects, activities, and relationships being especially significant. The extraordinary life has no more meaning than the ordinary life.

In this paper we attempt to develop an axiomatic theory of binary structure functions with dependent components. This is an important problem, hitherto largely ignored. The concept of coherent structure in probability is introduced and studied. The relationship to the classical coherent structure is discussed. In the new concept the relevancy is defined through reliability of the system, while in the classical concept it is defined through the structure function.

A decomposition theorem for multistate structure functions is proven. This result is applied to obtain bounds for the system performance function. Another application is made to interpret the multistate structures of Barlow and Wu. Various concepts of multistate importance and coherence are also discussed.