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Fostering student learning using a complexified educational strategy: A case study in higher education

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This paper reports on the design and application of a complexified educational strategy for the administration and delivery of a course in game design at the University of Worcester, UK. We conceived an educational strategy following recommendations provided by Davis and Sumara (2006), aimed at generating conditions key to foster emergence of learning in educational complex-adaptive systems, namely specialisation, trans-level learning and enabling constraints. The strategy was designed through an iterative and adaptive process, informed by evidence and events emerging from the development of the course. The strategy fostered student collaboration, and allowed both students and tutors to deal with complex and unanticipated situations requiring adaptation. Data analysed so far indicates that teamwork was initially challenging for students, but collective learning emerged as the course developed, positively affecting teams' performance. Students felt highly motivated and enjoyed working on the learning activities. Likewise, their progress and expertise levels were always perceived as high. Students' academic performance was on average very good.
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Fostering student learning using a complexified educational strategy:
A case study in higher education
Carlo Fabricatore
University of Worcester, UK
c.fabricatore@worc.ac.uk
Ximena López
Initium, Italy
Ximena.lopez@initium-studios.com
Abstract
This paper reports on the design and application of a complexified educational strategy for
the administration and delivery of a course in game design at the University of Worcester,
UK. We conceived an educational strategy following recommendations provided by Davis
and Sumara (2006), aimed at generating conditions key to foster emergence of learning in
educational complex-adaptive systems, namely specialisation, trans-level learning and
enabling constraints. The strategy was designed through an iterative and adaptive process,
informed by evidence and events emerging from the development of the course. The
strategy fostered student collaboration, and allowed both students and tutors to deal with
complex and unanticipated situations requiring adaptation. Data analysed so far indicates
that teamwork was initially challenging for students, but collective learning emerged as the
course developed, positively affecting teams’ performance. Students felt highly motivated
and enjoyed working on the learning activities. Likewise, their progress and expertise levels
were always perceived as high. Students’ academic performance was on average very good.
Keywords: complexity, education, educational strategies, complex adaptive systems, higher
education
1 INTRODUCTION
In 2010 the University of Worcester (UK) commissioned to the authors the design and administration of a new
11-weeks course in game design, to be delivered from October 2011 within the scope of the Worcester Business
School “Computer Games Design and Development” BSc.
Our first activity in this academic endeavour was analysing salient aspects of the context of administration and
delivery of the course, focusing on both exogenous contextual factors (e.g.; state of the art in the domain of
game design; current employability requirements) and endogenous ones (e.g. University of Worcester strategic
plan; student entry skills and backgrounds). As a result, we defined general educational objectives for the course
which served as a foundation to define an educational strategy. At this stage, systemic complexity entered the
scene.
2 THE NEED FOR COMPLEXITY THEORY IN AN EDUCATIONAL STRATEGY
2.1 EDUCATIONAL STRATEGIES
Educational strategies can be regarded as plans aimed at facilitating student achievement of desirable learning
objectives within concrete educational systems. Based on the definition of the concept of system provided by
Meadows (2008), in this context we define educational systems as wholes composed of interconnected agents
(e.g. teachers, students) and elements (e.g. classrooms, books, technology assets), organized and interoperating
to achieve educational purposes throughout the lifespan of the system.
Hence, an educational strategy is normally meant to purposefully regulate processes in an educational system. It
does so by defining a rationale and modus operandi for the development and organization of contents,
infrastructures of the learning environment, assessment approaches and learning activities, and for the actual
execution of the learning activities. All this, in compliance with the constraints of the context which the
educational system belongs to (e.g. availability of technological infrastructures; logistics; maximum duration of
learning activities). Thus, educational strategies must be elaborated depending on the nature of the system they
should be applied to, and the context within which they should be enacted.
2.2 THE COURSE AS A COMPLEX SYSTEM
Research into complexity indicates that learning and education are complex phenomena and that educational
systems are complex adaptive systems - CAS (Davis & Sumara, 2005, 2006, 2010; Morrison, 2006; Frei, 2011).
CAS are “(…) dynamical and emergent, sometimes unpredictable, non-linear organizations operating in
unpredictable and changing external environments (…) [They] adapt to macro- and micro-societal change, and,
through self-organization, respond to, and shape the environments of which they are a part. (Morrison, 2006, p.
3).
CAS adaptive evolution is the result of competition and cooperation dynamics among system agents (Davis &
Sumara, 2005, 2006; Mitchell Waldrop, 1992). These dynamics are self-organized and lead to the phenomenon
of emergence, whereby () well-formulated aggregate behaviour arises from local behaviour” (Miller and Page,
2007, p. 46), and new, unpredictable patterns of organization emerge spontaneously in the system without the
intervention of a centralized control (Ottino, 2004; McDaniel and Driebe, 2005; Miller and Page, 2007; Quinn
Patton, 2010).
The self-organized adaptive evolution of CAS can be considered the outcome of learning processes. In fact, as
Davis and Sumara (2006) maintain, CAS are understood to adapt through events of learning which entail
transformations leading to different forms of the same system. For this reason, CAS in general, and educational
systems in particular, can be considered proper learning systems (Davis & Sumara, 2005, 2006; Newell, 2008).
A higher education course is a specific instance of the broader concept of educational system, and it can
therefore be safely regarded as a complex system, embodying what Frei (2011) defines as micro-level
complexity in educational systems.
2.3 WHY COMPLEXIFYING AN EDUCATIONAL STRATEGY
2.3.1 THE PERSPECTIVE OF COMPLEXITY SCIENCE
Research into complexity management indicates that, dealing with CAS, approaches focused on understanding
and making use of natural system tendencies and behaviours, supporting and guiding natural self-organization
processes generate significantly better results than management approaches requiring centralized control and
continuous forcing to try to govern system dynamics (Helbing & Lämmer, 2008; Kempf, 2008). In fact, Bovaird
(2008) maintains that "(...) [in CAS] planners and strategists can hope only to join the game, as players
themselves, or to take part in the setting of very outline ‘meta-rules’ within which the game will be played."
(p.323); and that "(...) strategic management becomes the set of reactions of an agent by means of which it
hopes both to make the most of perceived changes in its environment and also to change the longer-term ‘rules
of the game’ which shape how its environment evolves." These ideas promote the adoption of complexified
educational strategies, relying on continuous iterative cycles of planning, acting, assessment of results and
revision of plans and/or assumptions, based on the concept of double-loop learning proposed by Argyris (1977)
(Figure 1).
Single-loop iterative & adaptive learning: adapt
approaches & aims, based on emerging results
Double-loop iterative & adaptive learning:
revise assumption regarding the system,
based on emerging results
Underlying
Assumptions
Goals, Values,
Strategies,
Techniques
Results
Figure 1 - Double loop learning
2.4 THE PERSPECTIVE OF EDUCATIONAL OUTCOMES
In the domain of complexity science cognition is regarded as an on-going process of adaptive activities involving
agents which can be either autonomous or coupled (Davis and Sumara, 2005, 2006, 2010; Kempf, 2008; Newell,
2008). Hence, within a given system learning is a trans-level process, happening both at the level of individuals
and collectives intended as wholes, proper learning entities (Davis and Sumara, 2005, 2006; Miller and Page,
2007; Newell, 2008). Collective learning reshapes the system as a whole and transcends individual learning,
although it arises from the interplay of individual understandings and knowledge (Davis and Sumara, 2005, 2006;
Newell, 2008). Emerging collective learning, in turn, feeds back into individual learning, enhancing it beyond
what could be achieved by individuals on their own (Figure 2). Thus, in a CAS individual learning evolves
adapting to collective learning, and vice-versa.
System Learning Processes
Collective
Learning
Individual
Learning
Figure 2: Learning processes in CAS
Disregarding the importance of collective learning would mean confining the development of individuals within
the boundaries of what is afforded by compartmentalised individual learning, and only through complexified
educational strategies it is possible to fully take into account the impact of the interplay between individual and
collective learning (Davis and Sumara, 2006; Frei, 2011).
Student heterogeneity is another important reason to promote the adoption of complexified educational
strategies. Adaptive and iterative methods are, in fact, best suited to support different learning styles and levels
of skills as they emerge from the learning processes (Mainemelis et al., 2002; Coffield et al., 2004).
Finally, embracing a complexified approach is the best way to prepare individuals for an increasingly complex
and intertwined world. Rapid and unpredictable change is one of the major challenges of today’s world, as
societies expand and become more connected. Global issues such as sustainability, economical exchange and
social development requires individuals able to decide and act with responsibility, which is only achieved if
individuals are capable to see the complexity of the whole and not only the parts. Capabilities such as the ability
to adapt to change, to understand phenomena in context, to make connections between aspects that are not
evidently linked, to face non-linear and ill-defined situations and to work in collaboration with others who may
not share ideas or interests should be promoted by contemporary education (Davis & Sumara, 2005, 2006; Frei,
2011). A complexity approach provides not only a theoretical sound approach but also a methodology that
supports a complexified educational practice (Phelps, 2005; Davis & Sumara, 2006).
3 A COMPLEXIFIED EDUCATIONAL STRATEGY FOR A GAME DESIGN COURSE
Our educational strategy pursued the generation of conditions key to fostering emergence in educational CAS,
mirrored by Davis and Sumara’s (2006) model (Figure 3).
Emergence
Specialisation
Trans-level
learning
Enabling
constraints
Collective learning arising from
interacting individual understandings
and knowledge, and feeding back into
individual learning
Determinants: neighbour interaction
& decentralised control
Knowledge heterogeneity affording varied system responses to the environment, backed by shared
knowledge and language permitting interactions amongst agents and failure compensation
Determinants: redundancy (shared knowledge and language) and diversity (heterogeneous knowledge)
Constraints granting sufficient
organisation to orient agents while
allowing varied and flexible responses
Determinants: coherence and
openness to unanticipated
possibilities
Figure 3: Conditions to foster emergence in educational CAS
Accordingly, our strategy aimed at: i) promoting specialisation, safeguarding redundancy in system agents’
knowledge and understandings while at the same time nurturing diversity; ii) fostering trans-level learning,
facilitating neighbour interactions and promoting decentralised control; and iii) influence system architecture
and dynamics through enabling constraints.
The strategy was not designed upfront. Rather, it emerged from iterative and adaptive design activities, based
on evidence and events arising from the development of the course.
3.1 COURSE SYSTEM ARCHITECTURE
We conceived an initial distributed system architecture comprising agents embodying the roles of students,
tutors, consultants, evaluators and clients.
Students were the key agents of the system, aiming at passing the course through successfully completing a
course team project and related individual learning journals. Students were initially required to form teams of 3-
4. Within these boundaries, students were allowed to change teams provided that they clearly explained to
tutors why they wished to change, and why both the team they were leaving and the one they were joining
were comfortable with the change. No rule was imposed as to the internal organisation of each team (e.g.
responsibilities and distribution of the workload). Teams were free to discuss and interact throughout the whole
course.
Tutors selected contents, prepared learning materials, delivered lectures and defined requirements for the
course project. They formed a team of three, coordinated by a course leader, and were able to talk to each
other at any given time.
Consultants provided advice to teams through project workshops. They formed a team of three with no formal
leadership. Consultants had different backgrounds and expertise, and engaged with student teams providing
independent advice (often on the same issue). Advice was provided only when required, mostly based on what
teams reported as being their state of progress, and on specific needs reported by each team.
Evaluators initially constituted a panel of three for the evaluation of project milestones. They also evaluated
individual learning journals related to project milestones.
Tutors embodied the role of consultants and evaluators in the case discussed in this paper.
Clients provided aims and core requirements for the course project. In our case, they were representative of the
Elgar Birthplace Museum (Worcester, UK).
3.1.1 ADAPTATIONS
In the early stages of the course, before the start of the project, the maximum team size was increased to six.
This was done in response to requests of students who clearly explained how they intended to organise larger
teams, and why this would be beneficial to their learning achievements.
The milestone evaluation panel was extended to five members for the most important project milestone, to
include museum representatives. This was done in response to the Museum’s interest in proactively providing
feedback to the teams, and the teams’ positive reaction to this possibility.
3.2 CONTENTS AND PEDAGOGICAL MATERIALS
Tutors initially identified a core set of contents whose knowledge would be essential to pass the course. Tutors
agreed that further contents would be added as the course unfolded, based on emerging events. Accordingly,
pedagogical materials were planned to study core contents iteratively, through different approaches and means
(e.g. books, slideshows, videos, guided tours).
3.2.1 ADAPTATION
Contents were broadened after the first project milestone, to study narrative in games and the contextualisation
of game worlds and explore with other core topics. This was done in reaction to students’ interests and the
approaches they chose to develop their team projects.
3.3 LEARNING ACTIVITIES
We articulated the course through four key types of learning activities: lectures; formative tasks; project
milestone presentations; project workshops.
Lectures aimed at studying core contents from an abstract perspective, independent of specific contexts.
Lectures explored contents iteratively, proposing, at each iteration, alternative perspectives, contexts,
integrations and mode of study. Tutors initially designed and planned a minimal set of lectures sufficient to
cover the core contents, leaving the possibility open to adding further lectures to cover new topics and/or revisit
core contents.
Formative tasks aimed at presenting to students problems closely related to what explored in the lectures,
requiring them to conceive and discuss solutions. At the beginning of the course formative task included both
problem solving activities and step-by-step tutorials, to boost students’ confidence. Later on, only collaborative
problem-solving activities were proposed.
The course project required students to design an educational game for the Edward Elgar Birthplace Museum,
based on aims and specifications provided by museum representatives integrated with requirements provided
by tutors. It was agreed that a core set of requirements would be provided at the beginning of the course,
allowing the addition/modification of requirements as the project unfolded, mimicking real-world scenarios.
Project milestone presentations required teams to present their project advancement state, and were the
opportunity for evaluators to provide related feedback, just-in-time. There were three core project milestones:
pitch, requiring an initial game concept compliant with the project requirements; pre-production, requiring a
preliminary design and proof of concept illustrating key game mechanics; production, requiring the final game
design, and a playable prototype implementing the core game features. A fourth milestone (post-production)
was also included for finishing touches or late-minute fixes. Milestone deadlines were initially scheduled every
three weeks. However, it was agreed by tutors that milestones could be postponed, depending upon emerging
events.
Project workshops allowed teams to work receiving consultant advice. Consultants “visited” teams if requested,
and worked with within constrained time windows, ensuring that all teams had a chance of receiving support.
3.3.1 ADAPTATION
The project production milestone was postponed by one week, to allow museum representatives to participate
in the evaluation panel.
3.4 ASSESSMENT
The course was assessed through a portfolio comprising the team project and an individual learning journal.
The course project was assessed through the milestone presentations. Evaluators provided independent scores,
not necessarily coinciding. After each presentation teams were asked to report on the team members’
contributions. Members adequately engaged were awarded the full milestone score earned by the team.
Contributions of students not adequately engaged were assessed individually, receiving a percentage of the
team’s grade.
Learning journals were structured to help students to reflect on and critically analyse specific aspects of their
learning experience, and comprised both open entries/questions and closed questions. Students were required
to compile a learning journal entry after the completion of each project milestone. A typical entry comprised
evaluations of and reflections on: i) project milestone outcomes; ii) team dynamics; iii) personal learning
experience; iv) learning activities.
3.5 RATIONALE
3.5.1 COURSE PROJECT TO COALESCE SYSTEM DYNAMICS
The project integrated, guided and gave meaningfulness to all the learning activities of the course. In fact: i)
lectures, formative tasks and project workshops were designed/planned based upon events emerging from the
development of projects; ii) lectures always covered contents immediately applicable to produce/enhance
projects outcomes, possibly in response to the evolution of projects; iii) project workshops served to provide
contextualised, timely support, strengthening students’ understandings in relation to their concrete experiences
with the course project; iv) milestone presentations triggered reflection processes as to the project progress.
3.5.2 DECENTRALISED CONTROL AND SELF-ORGANISATION WITHIN TEAMS
We created a decentralised framework and allowed teams to self-organise, to facilitate the emergence of a
decentralised architecture which is the most suited to foster specialisation and trans-level learning (Davis and
Sumara, 2006; Newell, 2008). The project goals and requirements were intrinsically multidisciplinary and could
be fulfilled through numerous alternative solutions, none of which was discussed with students a priori. Hence,
we wanted teams to freely define their approaches, and each student’s role and responsibilities to emerge and
reshape through a student/team dialogic relationship, based on the student’s skills and interests, and on what
the whole team considered to be suitable for the pursuit of a common interest (i.e. succeeding in the project).
We expected all this to favour the emergence of both specialization and trans-level learning (Davis and Sumara,
2005, 2006; Newell, 2008).
3.5.3 ESSENTIAL KNOWLEDGE AND SHARED UNDERSTANDINGS
Core contents represented an essential knowledge base that students had to assimilate to be able to contribute
to project teamwork activities. Thus, they were the object of the shared (redundant) understandings and the
language necessary to permit fruitful and purposeful collaborative dynamics within each team and across teams
(Davis and Sumara 2005, 2006).
3.5.4 SUPPORT FOR HETEROGENEITY IN LEARNING
The adoption of redundant and heterogeneous pedagogical materials was aimed at supporting different learning
styles (Mainemelis et al., 2002; Coffield et al., 2004), thus promoting heterogeneity among students to further
foster the emergence of specialisation (Davis and Sumara, 2006; Newell, 2008).
3.5.5 PERTURBATIONS TRIGGERING ADAPTIVE DYNAMICS
We leveraged consultant advice, evaluations and project requirements to expose students to frequent and often
unexpected perturbations, requiring teams to continuously adapt to a dynamic context.
Consultants provided advice which was never prescriptive, and aimed at scaffolding team learning, acting as
enabling constraints (Davis and Sumara, 2006). Consultant advice was independently provided and reflected
consultants’ heterogeneous perspectives. Therefore, student teams had the final responsibility as to what to
accept and how to synthesise sometime divergent recommendations.
Evaluators provided just-in-time qualitative feedback for interim outcomes of each team project. Furthermore,
through the evaluation of individual learning journals they provided qualitative feedback regarding individual
progress, reflections and ideas that students proposed in relation to their team project. Evaluators’ feedback
was never prescriptive. Rather, evaluations proscribed undesirable approaches/decisions and emphasized
critical weaknesses of the project being evaluated.
Project requirements implicitly promoted collaborative dynamics through requiring a workload that was hardly
affordable without appropriate team organisation. They were never prescriptive, specifying objectives but not
ways to achieve them. Furthermore, frequent moderate changes in project specifications required teams to
adapt their approaches on a regular basis.
Thus, consultant advice, evaluator feedback and project requirements served as forms of enabling constraints,
fostering coherence while enabling the emergence of diverse responses (Dennis and Sumara, 2006).
3.5.6 RELEVANCE AND FEASIBILITY OF CONTENTS
The definition of the core contents was driven by the ethos of ‘thinking globally and acting locally’ (Frei, 2011).
To promote meaningfulness and relevance, core contents were selected based on analyses of exogenous
contextual factors (e.g. game industry state of the art; employability requirements). At the same time we took
into account important endogenous factors (e.g. time constraints) to safeguard feasibility.
3.5.7 ITERATIVE AND INCREMENTAL TEACHING
Learning activities were organised to iteratively study and apply concepts and frameworks at different levels of
depth, complexity and integration. This aimed at promoting the redefinition of ideas and concepts at
increasingly sophisticated levels through a spiral process, requiring to learners “(…) a continual deepening of
one’s understandings of them [ideas and concepts] that comes from learning to use them in progressively more
complex forms.” (Bruner, 1960, p13)
3.5.8 ASSESSMENT PORTFOLIO AS A FACILITATOR OF SPECIALISATION
A portfolio comprising a multi-disciplinary self-organised project was an appropriate choice to both assess
standard skills and promote the development of emerging skills (Frei, 2011). We planned the portfolio to foster
skill heterogeneity and allow students to specialise and develop along diversified paths, decentralising control
and allowing team self-organisation to make specialisation possible (Davis and Sumara, 2006; Newell, 2008).
3.5.9 COMPOUND ASSESSMENT TO NURTURE COLLABORATIVE DYNAMICS
Our strategy defined the grade of each student as the result of his/her engagement in team activities, and hence
in collective system dynamics. In fact, although learning journals were individual, they were based on the
outcomes of team activities (milestones), and it was impossible to earn significant credits through the learning
journals without properly engaging in the project. Furthermore, team as a whole ultimately decided whether its
members adequately contributed to team dynamics or not, being consequently entitled (or not) to share the
team’s score. All this was planned to nurture collaborative dynamics, minimising the risk of students “leeching
on team performance”.
3.5.10 ASSESSMENT AS A WINDOW ONTO THE SYSTEM
Assessment activities were planned to generate a constant flow of information regarding system dynamics,
necessary to adapt the educational strategy based upon emerging events.
4 OUTCOMES AND DISCUSSION
What impact did the complexified educational strategy have on students? From complexity perspective, impact
is seen as a process of change that is adaptive in nature. This means that the process, and not only the outcomes,
should be looked at, trying to understand how individuals continuously interact with their context, leading to
knowledge production at micro and macro levels (Davis and Sumara, 2005). Embracing a complexity perspective
also means describing impact in terms of the evolution of processes and outcomes, feelings, skills and
knowledge that could be affecting the overall development of the course as a learning system.
Thus, in order to answer the initial question, we decided to evaluate the impact in terms of both process and
outcomes, and at different levels. For this, we analysed data provided by students through the learning journals.
These learning journals allowed us to explore the students’ opinions, feelings and perceptions regarding:
1. Teamwork
2. Perception of the activities (level of difficulty, relevance to the module, perceived quality of
performance, motivation, enjoyment)
3. Perception of progress and expertise, defined by feelings of autonomy and development of abilities and
confidence with the course topics.
Closed items of the learning journals were formulated as propositions to be rated on a 5-point Likert scale.
Averages were calculated to summarise the main trends found in the course.
Learning journal entries were evaluated based on items requiring students to reflect and deal with problems
requiring to apply knowledge and skills used for the milestones. Scores were categorised in a 5-point scale.
Evaluators assessed project milestone presentations using a 5-point scale. The teams’ total score was calculated
by averaging the scores given by the different tutors.
4.1 EVOLUTION OF TEAMWORK
There was a surprising difference between the evolution patterns across the different aspects of the work done
by teams (Figure 4). From the beginning, teams perceived that their ability to agree on key decisions regarding
their projects was very good, and this perception remained constant for the next milestones. Collaborative
problem solving and team communication were initially perceived by students as good”, and increased to “very
good” as they approached the production milestone. This did not happen with other teamwork aspects. On
average, workload distribution was always perceived as good, showing some fluctuations between milestones
but never increasing or decreasing too much. Time management skills presented the greatest variation
throughout the course. In the beginning students had some difficulties in organising their time to work in groups
and reconcile the course demands with their other academic activities. Good time management was achieved by
the teams after the first milestone, and it remained constant for the rest of the course.
When analysing team performance in light of the scores obtained by students in each milestone, it appeared
that team communication, collaborative problem solving, time management and ability to agree on key
decisions were correlated to the teams’ scores on the tasks (r=0.25, r=0.24, r=0.28, r=0.22 respectively).
Interestingly, no correlations were found between teamwork and the students’ individual scores. Despite the
small strength of the correlations, these results are coherent with the literature indicating the importance of
participatory, collective, and ongoing engagements that, in the process of adaptation to the requirements and
constrains of the context, enable the emergence of collective cognition and knowledge production (Davis &
Sumara, 2006; Newell, 2008; Davis & Sumara, 2010). Discussion plays an active role in the creation and
improvement of knowledge, especially when it is oriented towards a collective understanding (Jordan, 2010).
It is important to note that, beyond the complex nature of the strategy, teams had to face other situations that
were not foreseen (e.g. sickness of a member before a deadline; members’ disengagement), affecting the team
dynamics at different stages of the course. Students had to learn to adapt to these changes and organise in ways
that would enable them to continue their work. These situations were highly valuable to make new learning
emerge - a kind of learning not directly related to the course topics, but very relevant in terms of the capabilities
required to engage with the “real-world”.
Figure 4 Evolution of Teamwork
4.2 STUDENT PERCEPTION OF THE ACTIVITIES
Students considered learning activities relevant to better understand the topics of the course. Production and
post-productions milestones were perceived as the most relevant activities, nonetheless very close to the pitch
and pre-production activities done before.
In general, students perceived an almost ever-increasing level of difficulty. The pitch milestone was perceived as
neutral (“neither easy nor difficult”). Perceived difficulty increased until the production milestone, which was
mainly considered as difficult. The post-production milestone was perceived as less difficult than the production,
but more difficult than the pitch and pre-production.
Despite the progressive increase in milestones’ difficulty, from the beginning students felt very motivated to
work on the different learning activities proposed by the course. Notably, this motivation remained mostly
stable across the activities, slightly peaking in the production milestone. It is thus not surprising that the level of
enjoyment reported by students was very high as well, and stable across the different activities.
In summary, the increasing difficulty of milestones did not overwhelm students. On the contrary, most students
found the activities challenging, motivating, relevant to their learning and enjoyable to perform.
Figure 5: Students' perception of Learning Activities
4.3 PROGRESS AND EXPERTISE
Overall, students perceived that they were making progress and increasing their expertise in the topics related
to the course (Figure 6). Students strongly perceived that they were improving the abilities required to deal with
the topics of the course and that they were gaining more confidence. These perceptions were reported from the
beginning of the course and evolved positively during the semester.
From the beginning students also rated as “good” their level of understanding of the course topics and their
level of confidence in successfully accomplishing the tasks related to the topics seen so far, working both in
teams and autonomously. Their perceived level of understanding remained constant throughout the course,
while their level of confidence increased slightly.
Figure 6: Perception of Progress and Expertise
Evident differences appear between the perceived performance in the course and the scores in team and
individual work (Figure 7). Average team performance was fair” in the pitch and rapidly increased to “good” in
the following milestones. Average individual scores always remained in the good category. Interestingly, team
scores increased to level up with the individual scores. Considering the results presented in section 4.1, it is
possible that students initially perceived that their individual work was sufficient to produce a good team result.
After realising that their performance was not as good as expected, they probably recognised that they needed
to work more and better with their teams, interacting more and producing more collective knowledge. Team
self-organisation is not automatic, even more if students are not used to work in teams and face complex group
dynamics. Time and continuity of interaction is needed in order to create the clash of ideas and the interplay of
individual and collective learning, leading to the transformation of team knowledge into something that
transcends the sum of the student individual knowledge (Newell, 2008).
Figure 7: Perceived and Real Performance
5 PRELIMINARY CONCLUSIONS
The aim of this paper was to report an experience in a higher education course which used a complexified
educational approach. As complexity science leads us to focus on processes and on different levels, a huge
variety of information was collected in different moments and involving different actors. This paper only
presented the general design of the strategy and some preliminary results regarding the development of the
course as a CAS. Our research is ongoing and there is still much information to be analysed and integrated in the
general picture. Nonetheless, we believe that the experience analysed so far allows us to advance some
preliminary conclusions and reflections:
The development of complex thinking requires not only to learn about complex systems, but also to
participate in situations requiring to face the challenges of complex systems. Adaptation to change and
self-organisation cannot be learned if not by being part(icipants) of situations that require them. In our
experience, we witnessed how students had to deal with complex situations and how they managed to
self-organise and give continuity to their work. Likewise, we also “witnessed” our own transformational
process, which demanded us to adapt and change our plans, even revising our assumptions regarding
certain aspects of the course.
It is interesting to see how teamwork skills evolved throughout the course, and how they were related
to the learning being produced by the collective class. As Jordan (2010) indicates, individual and
collective learning are a consequence of the interactions of connected and diverse agents. Both
individual and team scores increased as students continued to work collaboratively in teams for the
different milestones, but it was the teams’ score that presented the greatest improvement throughout
the semester.
We were surprised to see that, from the beginning, students in general gave high ratings to their
motivation, learning and progress. It seems that an iterative and adaptive course strategy constantly
promotes students feeling of increasing their abilities and understanding of the topics of the module. It
also fosters the idea of being able to accomplish required tasks either autonomously or with a team.
Complexity cannot be scripted (Davis & Sumara, 2005, p.460). Since learning is a complex
phenomenon, teachers and learning strategy designers can provide students with learning
environments rich with possibilities for learning, but they cannot prescribe what will be learnt.
Nevertheless, the adoption of complexified learning strategies can promote and nurture complex
dynamics facilitating learning processes at different levels.
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Some conceptions of knowledge invite the emergence of new worlds and the exploration of possible futures rather than attempt to reinforce stabilization and replication (Allen & Vargas, 2007; Osberg, Biesta, & Cilliers, 2008). The model by Mowat and Davis (2010) of mathematics as a " complex unity " makes such an invitation. If mathematics is a complex network of concepts linked by metaphors, then the understanding of mathematics needed by mathematicians, scientists, engineers, and students at all levels is not one of stationary concepts related in sequentially static order leading to the construction of a tower of mathematics, but a relational understanding of mathematics that privileges the dynamic interdependencies among and between mathematical concepts and metaphors and emphasizes the ways that boundaries connect as well as separate (Cilliers, 2001). Adoption of such a model could facilitate new understandings not only of what mathematics is, but also of what it means to learn mathematics. A tower is built sequentially step-by-step, brick by concrete, definite, solid brick; a brick is either locked in place or it is not, learning has either occurred or it has not occurred. But a network of mathematics, where concepts depend on the strength of multiple metaphors of differing weights and on their relationships to other concepts enables a conception of learning as an ambiguous and heterogeneous process in which concepts come in and out of focus and knowledge shifts between smoke-like and crystal-like organization (Taylor & Van Every, 2000). Learners need to expect learning experiences to proceed in non-linear fits and starts, for activities to be evolving and structuring, not pre-structured, and for
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This book explores the contributions, actual and potential, of complexity thinking to educational research and practice. While its focus is on the theoretical premises and the methodology, not specific applications, the aim is pragmatic--to present complexity thinking as an important and appropriate attitude for educators and educational researchers. Part I is concerned with global issues around complexity thinking, as read through an educational lens. Part II cites a diversity of practices and studies that are either explicitly informed by or that might be aligned with complexity research, and offers focused and practiced advice for structuring projects in ways that are consistent with complexity thinking. Complexity thinking offers a powerful alternative to the linear, reductionist approaches to inquiry that have dominated the sciences for hundreds of years and educational research for more than a century. It has captured the attention of many researchers whose studies reach across traditional disciplinary boundaries to investigate phenomena such as: How does the brain work? What is consciousness? What is intelligence? What is the role of emergent technologies in shaping personalities and possibilities? How do social collectives work? What is knowledge? Complexity research posits that a deep similarity among these phenomena is that each points toward some sort of system that learns. The authors’ intent is not to offer a complete account of the relevance of complexity thinking to education, not to prescribe and delimit, but to challenge readers to examine their own assumptions and theoretical commitments--whether anchored by commonsense, classical thought or any of the posts (such as postmodernism, poststructuralism, postcolonialism, postpositivism, postformalism, postepistemology) that mark the edges of current discursive possibility. Complexity and Education is THE introduction to the emerging field of complexity thinking for the education community. It is specifically relevant for educational researchers, graduate students, and inquiry-oriented teacher practitioners. © 2006 by Lawrence Erlbaum Associates, Inc. All rights reserved.
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Educational theorists are making increasing use of the metaphors and concepts of complexity thinking in their discourses. In particular, Professors Brent Davis, Elaine Simmt, and Dennis Sumara have written extensively about using complexity thinking to shift attention from the individual student as the locus of learning (cognizing agent) to the social collective—the class—as the locus of learning. In this model, the class (students and teacher) is (potentially) a complex adaptive system. The students and teacher remain complex adaptive systems in their own right, but through dynamic local interactions there is the possibility of emergent behaviours indicative of learning that transcends that of the individuals within the class. The social collective we know as a class becomes an instance of the Aristotlean adage, “The whole is greater than the sum of its parts.” (With the coda that we cannot understand the whole by merely understanding the components.) Davis, Simmt, and Sumara have segued from complexity-informed descriptions of educational collectives to discussions about facilitating the self-organization of classes into complex adaptive systems – learning systems, in their language. In this paper, I discuss complex adaptive systems and look at how Davis, Simmt, and Sumara developed their thesis that the class collective, rather than individual student, is the appropriate level to investigate learning and teaching. We conclude by addressing some of the possibilities and challenges inherent in such a redescription of communities of learners.
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In this article, the authors extend Phelps & Hase's (2002) explorations of the theoretical and methodological connections of complexity theory and action research by emphasizing complexity science as the study of learning systems. By emphasizing the importance of ‘complexity thinking’, an argument is made for conceptualizing action research as a ‘pragmatics of transformation’ that explicitly aims to bring together the self-interests of autonomous agents into grander collective possibilities. In addition, the authors offer pragmatic advice that is relevant for the ‘educational’ and ‘learning’ aspects of educational action research by describing a number of conditions that need to be in place in order for complex learning systems to develop and thrive.
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Much of the traditional scientific and applied scientific work in the social and natural sciences has been built on the supposition that the unknowability of situations is the result of a lack of information. This has led to an emphasis on uncertainty reduction through ever-increasing information seeking and processing, including better measurement and observational instrumentation. Pending uncertainty reduction through better information, efforts are devoted to uncertainty management and hierarchies of controls. A central goal has been the avoidance of surprise.