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7/30/2019 In it together - Exploring the Collective Teacher Efficacy perceptions of staff in a Leicestershire Middle-School
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Daniel C. Thomas BA (Hons)
University of Leicester
In it together? Exploring the CollectiveTeacher Efficacy perceptions of staff in a
Leicestershire Middle School
This paper explores the disparities and commonalities of perceived ability
within the staff at a Leicestershire Middle School. Drawing on a
foundation of Banduras (1977) theory of efficacy - the beliefs in ones
own capabilities to achieve desired outcomes - the research within this
paper aims to explore and understand the collective beliefs held at the
school.
In doing so, this paper endeavours to offer senior leaders of the school a
means of accessing, understanding and ultimately improving their schoolsefficiency: a number of comparatively high-profile studies within the field
of Collective Teacher Efficacy suggest that fostering CTE in schools may
indirectly lead to an increase in positive student outcomes, in addition to a
number of other potential advantages.
As such, the identification and understanding of these efficacy beliefs may
offer genuine insight and value for senior leaders and educational
academics: it is the intention of this study to potentially realise these key
assumptions.
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In it together? Exploring Collective Teacher Efficacy perceptions 1
Contents:
Defining and highlighting the significance of Collective Teacher Efficacy..............................2
Defining focus and expectations................................................................................................3
Theory and practical application in context...............................................................................3
School M: Contextualising the study.........................................................................................5
Methodology: Specification and justification............................................................................6
Methodology: Data reduction....................................................................................................8
Initial findings a): Positive Collective Teacher Efficacy found in School M ...........................8
Initial findings b): Negative / Mixed Collective Teacher Efficacy found in School M...........10
Exploring the data: a breakdown of collectors......................................................................12
Defining limitations and drawing conclusions.........................................................................15
References................................................................................................................................18
Appendices...............................................................................................................................19
Appendix 1: Raw data for each statement...................................................................20
Appendix 2: Visual breakdown for each statement.....................................................26
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In it together? Exploring Collective Teacher Efficacy perceptions 2
Defining and highlighting the significance of Collective Teacher Efficacy
In understanding efficacy within schools, it is important to highlight a fundamental aspect of
working within a school system, which is that teachers operate collectively within an
interactive social system rather than as isolates (Bandura 1993: 141). Whilst this may be a
somewhat apparent statement to make, it nevertheless highlights a crucial distinction in
regards to this study: efficacy can (and has) been studied both in terms of individual and
collective notions; this paper is concerned solely with that of collective efficacy within
schools, or Collective Teacher Efficacy (CTE). Tschannen-Moran & Barr help to underline
this distinction:
Collective teacher efficacy differs from teachers individual sense ofefficacy,in that [it] is a property of the school. Collective teacher efficacy is a group
attribute rather than the aggregate of individual teachers self-efficacy beliefs
(Tschannen-Moran & Barr 2004: 191).
CTE is therefore concerned with the collective belief system of staff in a given school; it
relates to the perceptions of teachers in a school that the faculty as a whole can organize and
execute the courses of action necessary to have positive effects on students (Goddard et al.
2002, cited in Cybulski et al. 2005: 441). In summary, it is concerned with identifying the
collective perception of ability within staff, and in turn attributing these shared beliefs
(positive or negative) to the student achievements made within the school.
Indeed, a varied body of research suggests that promoting CTE within schools can be
advantageous to student outcomes in several ways (for example, Ross et al. 2004; Cybulski et
al. 2005; Evans 2009). Firstly, CTE has been found to foster a normative environment of
positive expectation, in which a shared sense of responsibility consequently leads to positive
goal attainment throughout the school (Goddard et al. 2004).
Secondly, encouraging CTE has also been found to increase the overall health and
organizational climate of the school, allowing for an increase in staff and pupil morale
(Tschannen-Moran & Barr 2004). Evidence also suggests that teachers of highly efficious
schools are more likely to set challenging benchmarks for themselves, display an increased
enthusiasm for teaching, and generally own a greater sense of collective confidence in their
abilities (Leithwood et al. 2009).
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In it together? Exploring Collective Teacher Efficacy perceptions 3
However, whilst this varied body of research does suggest that promoting CTE may
indirectly lead to greater student outcomes, contextual caution must be applied; for instance,
much of the research surrounding CTE is of American origin: schooling systems in the U.K
are inherently different. Similarly, the means and methods for defining efficacy itself have
themselves evolved over time (for example, Rotter 1966; Gibson & Dembo 1985). These
combined factors may lead to a misinterpretation of the overall effect of CTE if vigilant
academic scrutiny is not applied; they warrant a greater discussion which cannot be fully
considered within the scope of this paper (for example, see Tschannen-Moran et al. 1998).
Defining focus and expectations
Based on the positive evidence found in understanding and developing CTE, the researchconducted within this study therefore explores the collective belief systems of staff within a
Leicestershire Middle School (hereafter referred to as School M); its primary aim is to
explore commonalities and disparities in group perceptions of ability. It is the hope that in
pinpointing these alternating perceptions, a greater insight into the collective dynamics of the
teaching staff, overall climate, enthusiasm and organisational aspects of the school might be
gained.
In doing so, the expectations of the research are two-fold: firstly, that leaders within School
M may be able to pin-point key areas of collective strength and weakness within their school;
as such, they may be able to improve the overall ethos and collective attitude of it.
Secondly, it is hoped that in fostering these key factors, senior leaders might ultimately be
able to improve and maintain positive student outcomes of learning, as suggested within
similar CTE studies and their findings.
Theory and practical application in context
Whilst this study has endeavoured to base its rationale on sound academic theory and
practise, it is nevertheless important to highlight the value of context within this study.
Indeed, whilst factors such as the size of the school, its demographic and location (for
example) may affect the practical application of any such studyand by rote its natureit is
the construct of efficacy that is perhaps most susceptible to contextual arguments:
Teacher efficacy is context specific... even from one class period to another,teachers' level of efficacy may change. (Goddard et al. 2000: 482)
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In it together? Exploring Collective Teacher Efficacy perceptions 4
In understanding and assessing the value of the research and evidence uncovered within this
study, it is therefore imperative that the context of the school, its staff and pupils are firstly
acknowledged before any assumptions are made.
Similarly, there is evidence to suggest that personal and collective efficacy levels may also
fluctuate, depending on a range of circumstances and variables . For example, Banduras
(1993) study of CTE found that teachers collective sense of efficacy varied across grade
levels, ability groups, time of the year, and teaching longevity (Evans 2009: 72).
Although American in origin, Figure 1 nevertheless helps to highlight his contextual
argument regarding CTE:
Figure 1:
Bandura, A., 1993. Perceived self-efficacy in cognitive development and functioning. Educational
Psychologist, 28, pp. 142
Therefore, whilst the application of theoretical and empirical aspects of efficacy may help to
broadly outline a schools perceived collective efficacy, it would be crass to assume that the
exact same means and measurements apply directly to each school; notions of collective
efficacy should be fine-tuned to the unique circumstances in which they are measured. It is
under these guidelines that the following contextual information regarding the school has
been given.
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In it together? Exploring Collective Teacher Efficacy perceptions 5
School M: Contextualising the study
School M is an 11-14 Leicestershire middle-school of a mixed social demographic, currently
with 600+ pupils on roll (Mohammed 2009). There are over 80 members of staff in total,
including all leaders, teachers, learning assistants and support staff; of this, there are fivemembers of senior leadership (under guidance, the schools bursar has been included in this
category), 17 middle-managers (either Heads of Year or Department) and 43 teachers
(including the 17 middle-managers).
A key significance regarding the school is its current double-outstanding status: it has been
classified as outstanding by Ofsted, both in 2006 and 2009 respectively. In explaining the
rationale behind the classification given in 2009, the report asserts:
This is an outstanding school. It has an exceptionally high regard for pupils'
personal development and well-being, coupled with a strong ethos of meeting
individual needs. This is acknowledged by parents, who recognise that each
pupil is valued and supported within an ethos of a caring school community in
which all pupils thrive. (Mohammed 2009: 3)
Indeed, community and ethos are perceived to be strong elements within the school, and are
often credited as key factors in the positive student outcomes, and the success of the school as
a whole. On School Ms website, the Headmaster (hereafter referred to as MF) similarly
states:
We have a clear set of beliefs that drive our school... The great strength of our
school is the quality of relationships and the care that staff have for pupils and
pupils have for one another. No one individual is more important than anybody
else. (MF 2011)
The statement by Ofsted and MF both appear to suggest that CTE is operating at the school;
one might assume that the collective belief systems postulated by Bandura et al. are not only
present, but flourishing. Certainly, the implicit assumption from both parties is that the
success of the school is based at least in part on these collective strengths. Indeed, it is here
that the nature of the study may become more significant: is a school which holds a double-
outstanding, and clearly prides itself as being more than the sum of its parts, a highly efficious
one; does it generally hold similar perceptions of skill and ability amongst its staff?
Before further questions are raised, however, it is important to acknowledge several other
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In it together? Exploring Collective Teacher Efficacy perceptions 6
contextual elements which are similarly important to the study. Firstly, the study itself was
undertaken during the latter part of the spring term, between 02/03/11 and 08/04/11
inclusively. In relation to efficacy in context, Banduras (1993) study found that teachers
exhibited higher collective sense of efficacy earlier in the year. Using this as a guideline, it is
clear that the specific timing of a study might indeed yield differing results.
Secondly, School M is currently aiming to convert from a middle-secondary (11-14) to a full-
secondary (11-16) within two-to-three years. Clearly, this is contextually important: it held
significant influence across the school during the time of study, with its senior leaders
attending regular meetings, and members of staff being actively encouraged to discuss these
proposals. Overall, the bid was met with interest and enthusiasmthis in turn generated an
upbeat atmosphere amongst staff, who were largely buoyed by the prospects; as such, it is
certainly a possible that this may have positively impacted on the CTE research conducted at
the time.
Finally, in returning to the normative environments in schools postulated by Goddard et al.
(2004), MF has been active in the role of Headmaster at the school for over 15 years: a
substantial period, in which normative states throughout the school are likely to have been
embedded:
Once the collective efficacy of a school is established, whether it enhances
student learning or obstructs it, it becomes a stable component of the culture
that requires substantial effort to change (Tschannen-Moran & Barr 2004:
191).
As such, the influence of a comparatively long-standing Headmaster is likely to be a
significant one in relation to the studys results: a long period of stability under one leader
may again positively (or, indeed, negatively) affect CTE results.
Methodology: Specification and justification
In concurrence with key educational studies conducted since the understanding and
development of efficacy meanings and measures (for example, Rotter 1966, Bandura 1977,
Gibson & Dembo 1985, Hoy & Woolfolk 1993, Tschannen-Moran & Barr 2004) this studys
findings have similarly been amassed though the use of a Likert-scale questionnaire,
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In it together? Exploring Collective Teacher Efficacy perceptions 7
comprised of 21 positive and negative statements in total. These were placed in staff pigeon-
holes on 02/03/11 and asked to be completed and returned within the month.
It was felt that although other methods such as interviewing or surveying have been justified
as legitimate techniques in many forms of empirical research (for example, Robson 2002)
that these would be inappropriate and unconducive for the expectations outlined within this
study.
Whilst interviewing might allow for a greater detail of information to be given, being a
versatile method of gaining data... [allowing] researchers to address a wide range of goals
and purposes (Hobson & Townsend 2010: 227), practical factors must also be considered: in
assessing CTE perceptions in School M, it was felt that as many members of staff as possible
should participate in the study in order to maximise the collective basis of the inquiry, and
thus its empirical validity. Therefore, a six-point Likert-scale questionnaire was selected, in
order to maximise the practicality and scope of the study. Figure 2:
The selection of the exact Likert-scale was comparatively straightforward: Goddards (et al.,
2000) model of 21 statements, developed from Gibson & Dembos (1985) 30-point model -
at the time one of the most commonly used and well-researched instruments for assessing
teacher efficacy (Goddard et al. 2000: 487) was drawn from the retrospection of 30 years
of previous efficacy research and analysis.
Importantly, however, Goddard et al. (2000) also adapted Gibson & Dembos Likert-scale
questionnaire in order to assess CTE as its primary focus; in contrast to assessing individual
teacher efficacy, to which the scale had previously been utilised.
As such, individual statements under Gibson & Dembos (1985) model were subsequently
refocused to assess the collective beliefs within schools; thus, a statement such as I am able
to get through to the most difficult students was translated into Teachers in this school can
get through to the most difficult students. In this way, participants of the study were forced
into collective modes of thinking, rather than purely considering their own individual
confidence and efficacy perceptions: a fundamental component of this study.
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In it together? Exploring Collective Teacher Efficacy perceptions 8
Methodology: Data reduction
Goddards (et al. 2000) Likert-scale model contains 21 statements in total, each within a six-
point-scale. All staff were asked to complete the questionnaire: of this, a total of 50 members
of staff participated. Each member of staff was subsequently labelled under one of six
categories: Senior Leader, Middle-Manager, Teacher, Learning Support Assistant, or Support
Staff. The rationale behind this distinction was to locate areas of collective and mixed
perceptions within key areas of staff; in this way, senior leaders within School M might be
able to pin-point and develop these particular cohorts, maximising efficiency.
Clearly, including all data within the body of this study would have been impractical within
the confines of this paper: as such, six key findings have been selected as a basis for
discussion; three illustrations which suggest positive CTE within the school, and three which
suggest negative and / or mixed perceptions. A full outline of the findings can be located
within the appendices.
Initial findings a): Positive Collective Teacher Efficacy found in School M
For the purposes of this study, positive results are defined as those in which a clear 60% or
above demonstrated a commonality of perception as a collective. Within this specification,
11 of the 21 statements returned positive results.
It is important to note that there is a mix of positively and negatively-phrased statements
throughout the questionnaire, in accordance with Goddards (2000) model:
Figure 3:
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In it together? Exploring Collective Teacher Efficacy perceptions 9
Above, Statement 6 demonstrates high CTE perceptions in regard to teachers perseverance
within the school; 42 out of 50 either Strongly Disagree or Disagree with this negatively-
phrased statement.
Figure 4:
Similarly, Statement 9 supports the positive CTE perceptions regarding the skill-set of
teachers within School M; here it is important to note that a combined 84% of the entire staff
surveyed either Disagreed or Strongly Disagreed with this statement.
Figure 5:
Equally, although comparatively more varied to previous statements, Statement 21 again
demonstrates an overall positive CTE perception in relation to whole-school discipline issues.
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In it together? Exploring Collective Teacher Efficacy perceptions 10
Initial findings b): Negative / Mixed Collective Teacher Efficacy found in School M
For the purposes of this study, negative results are defined as those in which a clear 60% or
more of the collective were in disparity of perception. Mixed results are defined as those in
which the results were evidently spread across all, or most (5/6th) of the 6-point Likert-scale.
It is important to highlight that in this study, none of the results yielded a negative response
under this stipulation: 10 of the 21 can be defined as having mixed CTE responses,
however:
Figure 6:
Although Statement 7 does demonstrate marginally more positive-to-negative responses,
there is nevertheless a certain level of disparity amongst staff, yielding an overall mixed CTE
response to the need for training; further, it may perhaps be considered to be at odds with the
positive response to Statement 21.
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In it together? Exploring Collective Teacher Efficacy perceptions 11
Figure 7:
Similarly, whilst Statement 8 does reveal some unity in response, there is nevertheless a clear
division of CTE perceptions in regards to the teacher-student expectations within the school.
Figure 8:
Equally, Statement 15 appears to highlight mixed opinions regarding the schools facilities,
and its relationship to teacher-student outcomes.
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In it together? Exploring Collective Teacher Efficacy perceptions 12
Exploring the data: a breakdown ofcollectors
As stipulated earlier, an important factor in understanding CTE perceptions within a school is
highlighting which staff categories (Senior Leader, Middle Manager, etc) or collectors hold
particular perceptions; in this way, school leaders may be able to more accurately identify
where the mixed perceptions are located, and therefore address these more precisely. It is on
this basis that the previous three mixed responses are broken down into the key collectors
within each statement:
Figure 9:
In re-assessing the data in this way, evidence suggests that the LSAs in School M mostly
Agree or Strongly Agree with this statement; contrastingly, Teachers themselves hold
comparatively mixed perceptions in regards to whether training is needed.
Statement 7: Whole-staff perceptions
Statement 7: LSA perceptions Statement 7: Teacher perceptions
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In it together? Exploring Collective Teacher Efficacy perceptions 13
Figure 10:
In this example, evidence demonstrates clear boundaries of perception within each of the
collectors selected: Teachers have mixed perceptions overall; the Support Staff in School M
generally disagree with the statement, whereas LSAs all Agree or Strongly Agree with the
statement.
Statement 8: Whole-staff perceptions
Statement 8: Support-staff perceptions Statement 8: LSA perceptions
Statement 8: Teacher perceptions
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In it together? Exploring Collective Teacher Efficacy perceptions 14
Figure 11:
Finally, Statement 15 reveals a clear disparity between Senior Leaders and Middle Manager
perceptions for School Ms facilities, and its contribution to school outcomes; Teachers
evidently hold mixed perceptions in this regard.
Statement 15: Whole-staff perceptions Statement 15: Senior Leader perceptions
Statement15: Middle-manager perceptions Statement 15: Teacher perceptions
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In it together? Exploring Collective Teacher Efficacy perceptions 15
Defining limitations and drawing conclusions
In defining limitations, it is important to firstly highlight the brevity of this paper; as such a
significant proportion of the results have been omitted in favour of highlighting key examples
on which discussion and analysis can be based. The evidence given should therefore be seen
as more ofa snap-shot of perception, rather than a holistic understanding of it.
Similarly, as Goddard et al. (2004: 3) acknowledge, CTE perceptions are, by definition,
beliefs about individual or group capability, not necessarily accurate assessments of those
capabilities. This is a key factor in assessing CTE perceptions, since it is evident that people
regularly over or underestimate their actual abilities (ibid.). As such, whilst the findings do
assess collective perceptions, caution must be given in connecting these beliefs with theirpossible objective realities.
Equally, contextual arguments relating to the period in which the study was undertaken;
normative factors such as a long-term Headship and significant issues such as a potential 11-
16 development within the school may have affected the results. By its nature, the
assessment of CTE perceptions must be considered as a fundamentally subjective and fluid
construct, unique to each school setting.
Nevertheless, despite these limitations, it is possible for a number of statements to be made
regarding the CTE perceptions of School M, based on this studys findings:
1. Results demonstrated a slightly more positive overall CTE perception (11/21) withinthe school, based on the criteria set;
2. There were marginally less (10/21) mixed CTE perceptions; of these none could bedescribed as entirely negative based on the criteria given (60% or more in disparity
of perception)
3. Positive CTE perceptions related to teacher perseverance, academic and disciplineskills within the school;
4. Mixed CTE perceptions related to teacher training, whole-school facilities andcollective teacher conviction in students;
5. A breakdown of these mixed CTE results highlighted a Teacher/LSA disparity ofperception, as well as Support-staff/LSA and Leadership/Middle-manager disparities.
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In it together? Exploring Collective Teacher Efficacy perceptions 16
In returning to this papers initial premise of exploring the CTE perceptions within School M,
the findings have (whilst limited in scope) uncovered clear areas of commonality and
disparities of perception; further, key staff cohorts within the school system have been
explored, and their diverging perceptions revealed. It is recommended that academic
researchers, and leaders of School M, refer to the full list of findings included in the
appendix, for a more holistic understanding of the schools CTE perceptions.
Whilst it would perhaps be tempting to relate School Ms double-outstanding category to its
positive CTE perceptions, it would also be unwise and assumptive: there is simply not
enough evidence based on this papers findings to firmly associate the two. It is evident,
however, that staff do hold an overall strong perception of their academic skills and
perseverance as a collective; something which is supported by MF and Ofsteds own
assessments, and is defined by CTE academics as a fundamental aspect found in highly
efficious schools with positive student outcomes. Overall, these results therefore point
towards a positive assessment; it is the recommendation of this paper that additional studies
are conducted within School M to develop, and possibly support the findings within this
study.
By way of a final consideration, it is important to return to the documented effects of
fostering collective perceptions: recent studies have found that CTE operates within schools
on a reciprocal level; that is, the relationship between belief patterns and subsequent
achievements are seen to be inexorably linked: outcomes affect efficacy beliefs, and beliefs
contribute to higher attainments.
There is a reciprocal relationship between collective teacher efficacy and
student achievement. The school environment can affect teachers belief intheir collective efficacy to improve student achievement, and increased student
achievement can increase teachers sense of collective efficacy. (Tschannen-
Moran & Barr 2004: 196)
As such, assessing and fostering positive CTE perceptions within a school may not only lead
to enhanced normative states, increased teacher confidence and overall staff and pupil
morale, it may indirectly lead to improved student outcomes, in turn creating a reciprocal
cycle of positive beliefs, and subsequent achievement.
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In it together? Exploring Collective Teacher Efficacy perceptions 17
Figure 12:
Tschannen-Moran et al., 1998. Teacher Efficacy: Its Meaning and Measure. Review of Educational
Research, 68(2), pp. 202.
Whilst more empirical evidence is needed, initial findings suggest that assessing CTE
perceptions may potentially offer educational leaders a means of unlocking and
understanding the very foundations of their school and its outcomes.
As such, Collective Teacher Efficacy is a notion which academics and school leaders may
wish to continue to explore and develop within this school and others like itthroughout
the foreseeable future: the benefits of doing so might be very powerful indeed.
END
3570 words
Daniel C. Thomas
Leicester Number: 077365703
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References
Bandura, A., 1993. Social Perceived Self-Efficacy in Cognitive Development and Functioning.Educational Psychologist, 28(2), pp.117-148
Cybulski et al. 2005. The roles of collective efficacy of teachers and fiscal efficiency in studentachievement.Journal of Educational Administration, 43(5), pp.439-461.
Evans, A., 2009. No Child Left Behind and the Quest for Educational Equity: The Role of TeachersCollective Sense of Efficacy.Leadership and Policy in Schools, 8(1), pp.64-91.
Gibson, S., & Dembo, M.,1985. Teachers Sense of Efficacy: An Important Factor in SchoolImprovement. The Elementary School Journal, 86(2), p.173.
Goddard et al., 2000. Collective Teacher Efficacy: Its Meaning, Measure, and Impact on Student
Achievement.American Educational Research Journal, 37(2), pp.479-507.
Goddard et al., 2004. Collective Efficacy Beliefs: Theoretical Developments, Empirical Evidence, and
Future Directions.Educational Researcher, 33(3), pp.3-13.
Hobson, A. J., & Townsend, A., 2010. Interviewing as Educational Research Methods. In Hartas, D.
(ed.),Educational Research and Inquiry: Qualitative and Quantitative Approaches. Cheltenham:
Nelson Thornes, pp. 223-238
Hoy, W. & Woolfolk, A., 1993. Teachers Sense of Efficacy and the Organizational Health ofSchools. The Elementary School Journal, 93(4), p.355.
Leithwood, K., et al. 2010. School leaders influences on student learning: the four paths. In Bush, T.,
Bell, L. & Middlewood, D. (eds.), The Principles of Educational Leadership &Management. 2nd ed.London: Sage.
MF, 2011. The Martin High School: Our Values and Ethos.
http://www.martin.leics.sch.uk/page4.html, 17/07/2011
Mohammed, A., 2009. Ofsted Inspection Report, Leicestershire LEA. URN 120255, pp. 1-9.
Robson, C., 2002. Surveys and questionnaires. In Robson, C.Real World Research. 2nd
ed. Oxford:
Blackwell Publishing, pp. 227-268.
Ross, J. & Gray, P., 2004. Transformational Leadership and Teacher Commitment to Organizational
Values: The Mediating Effects of Collective Teacher Efficacy. American Educational ResearchJournal, pp.1-30.
Rotter, J. B., 1966. Generalized expectancies for internal versus external control of reinforcement.
Psychological Monographs, 80, pp. 1-28.
Tschannen-Moran et al., 1998. Teacher Efficacy: Its Meaning and Measure.Review of Educational
Research, 68(2), pp.202.
Tschannen-Moran, M. & Barr, M., 2004. Fostering Student Learning: The Relationship of Collective
Teacher Efficacy and Student Achievement. Leadership and Policy in Schools, 3(3), pp. 189209.
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In it together? Exploring Collective Teacher Efficacy perceptions 19
Appendices
The following appendices are included in order to support and develop the findings
evidenced within the main section of this paper; it is hoped they will both support academic
scrutiny, and further assist leaders of School M in understanding the CTE perceptions of their
school.
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Appendix 1: Raw data for each statement
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Appendix 2: Visual breakdown of each statement
Statement 1:
Statement 2:
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Statement 3:
Statement 4:
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Statement 5:
Statement 6:
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Statement 7:
Statement 8:
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Statement 9:
Statement 10:
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Statement 11:
Statement 12:
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Statement 13:
Statement 14:
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Statement 14:
Statement 15:
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Statement 16:
Statement 17:
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Statement 18:
Statement 19:
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Statement 20:
Statement 21: