Entering the assemblage of (un) teaching

In this article, a collaborative Deleuze-Guattarian-inspired cartography is produced with preschool practitioners to explore the assemblages of teaching in preschool. The aim is to map how teaching comes into being in preschool planning and reflection practices following the movements of territorialisation and re-/de-territorialisation. Unwinding from a policy change that 4 years ago introduced teaching to the Swedish preschool curriculum, the overarching question of what teaching is and could be to follows through the text. The preschool teaching assemblages are visited through three territories in which different continuums of (un)teaching unfold when staying with the emerging messiness. The movements of de-territorialisation open for divergent thinking, questioning traditions and assumptions of how to conduct teaching in preschool practice, in entanglement with both local and global movements.

cartography with preschool practices and materialities is our way of engaging in what Haraway (2016) called staying with the trouble by actively taking part in creating and writing the story.A multiple and teeming story where a laughter, preventing children from picking fly agaric mushrooms and curriculum-waving researchers all take part in the becoming of teaching.We keep (un) folding and let the philosophical question of what teaching and education are and could become accompany us through this text.The arguments used in support for strengthening the teaching mission are mainly connected to the idea that an increased focus on teaching leads to higher goal completion in preschool education (Ministry of Education, [MoE] 2017).Preschool education, of which teaching is a part, is presented as a solution to a multiplicity of challenges that we currently face in society, such as integration, equality and equivalence, as well as increased ability of individual countries to compete in the global market (e.g.Åsén, 2020;Malone et al., 2020).To focus on teaching, when preschool education contains so much more, creates itching and chafing in and on our preschool-practice-researching-bodies.Doing research differently, questioning, provoking and speculating teaching, as part of childhoods, encouraged by Tesar et al. (2021aTesar et al. ( , 2021b)), is our way to complexifying preschool teaching, not only because teaching in preschool will matter in the future, when preschool children grow up to become adults, but also because it matters right here, right now.For children in preschool, teaching will produce and reproduce, and perhaps even instrumentalise and neutralise, worlds and stories.

Staying with the trouble: Aim and theoretical underpinnings
To stay with the trouble, we enter this study with the geographic philosophy of Deleuze and Guattari (1987) by performing a collaborative cartography with preschool practitioners to create rhizomatic assemblages of teaching.We map how teaching comes into being in preschool planning and reflection practices following the movements of territorialisation and re-/de-territorialisation.More specifically, the following questions are explored: Which multiplicities of desire were active within the teaching assemblage and what was produced?Which territories of teaching emerged in the planning and reflection practices?How did these territories and movements of re-/de-territorialisation function and with what?We lay out a collaboratory constructed 'map' of how teaching comes into being.The map should not be seen as a representation of the phenomena; rather, it was used to open for a collaborative knowledge production as an explorative research assemblage that is incorporeal, affective and entangled.Deleuze and Guattari's (1987) thoughts, theories and concepts are entangled and linked in myriad ways, similar to how they described one of their main concepts, the rhizome.This originates from biology and is used to denote the entanglements of people, ideas, things, practices or thoughts that arise from their connections or becomings.The rhizome 'has neither beginning nor end, but always a middle (milieu) from which it grows and which it overspills' (Deleuze and Guattari, 1987: 21).Deleuze and Guattari (1987) began by explaining another concept, the assemblage: [In] all things, there are lines of articulation or segmentarity, strata and territories; but also lines of flight, movements of deterritorialization and destratification.Comparative rates of flow on these lines produce phenomena of relative slowness and viscosity, or, on the contrary, of acceleration and rupture.All this, lines and measurable speeds, constitutes an assemblage... and as such is unattributable.It is a multiplicity (3)(4).
The lines of articulation can express normative perceptions and thoughts that if repeated enough may become segmentary, showing dominating discourses of thinking.There are also lines that express more marginalised thoughts and the disruptive lines of flight that move away from segmentary lines.Lines of flight have multiple and productive forces and opportunities to infringe upon the expected and common; if they are not acknowledged, the lines of flight will rapidly be extinguished (Deleuze and Guattari, 1987).Since the lines always connect back to the constantly moving rhizome, they are always on the move and not fixed.Additionally, Deleuze and Guattari (1987) point out that 'the only assemblages are machinic assemblages of desire and collective assemblages of enunciation' (Deleuze and Guattari, 1987:22).It is not a desire for something that a person inhabits or an interest in gaining something consciously in order to fulfil a lack, instead desires are here understood as unconscious forces of production.Desires produce realities (Buchanan, 2021), in this case, teaching.As Buchanan (2021) put it, 'Desire is primary; it is desire that selects materials and gives them properties that they have in the assemblage' (56).It is these assemblages of desire with their lines that produce territories and potentials for de-territorialisations (Mazzei and Jackson, 2017).Buchanan (2020) explained the process of territorialisation as follows: We territorialise because we need to and we need to territorialise because we have to confront chaos, both in its originary form and in the form of black holes.The territory transforms not only the elements constituting it but its inhabitants as well (as both the territory's creator and primary beneficiary) (289).
According to Deleuze and Guattari, territorialisation is worldmaking: 'The territory transforms forces of chaos into forces of the earth' and reminded us that '[i]t is not merely the ground beneath our feet but an intense center, a "natal" where we feel at "home"' (Buchanan, 2021: 105).To deterritorialise can therefore be frightening, since it involves leaving what feels comfortable, giving rise to re-territorialisation that resume some of the control (Buchanan, 2021).Buchanan (2021) reminded us that a '[t]erritory is a liveable order produced and sustained by a refrain' (85).As a way to acknowledge the multiple connections that are constantly created and re-created, we think of teaching as a rhizomatic assemblage.We will come back to the concepts of desire and territories further on as they are productive in this study but let us first enter the messy issue of teaching in preschool.

The messy issue of teaching in preschool
This study untangles from a national curriculum change made in 2019 that underlined teaching as part of preschool education.The policy change can be linked to the global movement of schoolification, a question discussed by both Malone et al. (2020) andJonsson et al. (2017).Swedish preschool, defined as the first stage in the education system, encompasses almost 86% of all children aged between 1 and 5 years (Swedish National Agency of Education [SNAE], 2022).The concept of teaching was introduced to the Education Act in 2011 (SFS 2010:800) and to the national curriculum for preschool education in 2019 (SNAE, 2019).However, teaching has been part of the debate on Swedish preschool education since its very beginning, in the 1830s.The understanding and vision of what preschool education and teaching is, both in content and form, have changed over the course of history (e.g.Lindgren and Söderlind, 2022).In the Education Act (SFS 2010:800), which applies to the entire school system, teaching is defined as 'goal-orientated processes that, under the guidance of teachers or preschool teachers, aim for development and learning through the acquisition and development of knowledge and values' 1 (section 3; our translation ) .Additionally, the new curriculum states that '[t]eaching means stimulating and challenging the children, taking the goals of the curriculum as a starting point and direction, and is aimed at encouraging development and learning among the children' (SNAE, 2019: 7).This formulation makes clear that teaching, in contrast to learning, is a relational concept, since it presupposes teachers and their relation to subjects and those who are being taught (Biesta, 2010).Inspection reports from the Swedish Schools Inspectorate (2018) showed that the terms 'learning' and 'education', but seldom 'teaching', were used by practitioners to frame activities in preschool and that 'learning' and 'teaching' were sometimes used synonymously.This conceptual confusion may be a part of the ambiguity and the resistance towards the validity of teaching, both as a concept and as content in relation to preschool practices, that is expressed by preschool practitioners (Jonsson et al., 2017;Westman and Bergmark, 2014).Eidevald and Engdahl (2018), among others, pointed out that the uniqueness of preschool justifies a special application of the teaching concept, especially since the national curriculum for Swedish preschool education does not prescribe goals to be achieved by individual children but goal to strive towards.Sheridan and Williams (2018) stressed that preschool education and its types of goals can be seen as a form of bildung in terms of a continuous and lifelong process in which learning and development are integrated with care and play.In addition, teaching is signified as a communicative and creative endeavour in which democratic aspects are highlighted (Eidevald and Engdahl, 2018).Many researchers have also discussed how different theoretical and pedagogical approaches can affect how teaching is performed in preschool (e.g.Malone et al., 2020;Vallberg Roth et al., 2022). Vallberg Roth et al. (2022) have argued that different theories and arrangements fit into different areas and settings of teaching (i.e.multivocal teaching), thereby moving beyond the one-size-fits-all idea of the theoretical underpinnings of teaching.
According to the national curriculum (SNAE, 2019), teaching can be either planned or spontaneous and preschool teachers have responsibility for different aspects of teaching, such as planning, targeting goals and arranging interesting and challenging environments.The new policy formulations, which have strengthened preschool teachers' responsibilities, can be seen as a breach of the Swedish preschool tradition in at least two ways.First, they challenge the idea of preschool as something different from primary school.Preschool teachers have expressed concerns over the loss of the uniqueness of preschool in the process of schoolification (Jonsson et al., 2017).In an overview of the research on Swedish preschool Åsén (2020) showed that learning in a preschool way, in which a holistic perspective combines education and care (sometimes referred to as Ed-uCare), differs from traditional schooling with formal and instrumental teaching in a classroom.Second, it challenges the tradition of flat work organisation that has prevailed since the 1970s.Following this tradition, the importance of the work team as a unit has been emphasised.Few distinctions between the different professions have been made, despite differences in education.The clarification of the teaching mission in Swedish preschool has resulted in new demands on the leadership of preschool teachers, which can be seen as professionalisation (Tallberg Broman, 2020).At the same time, teachers' pedagogical and didactic choices and professional judgement have become limited due to the increased quality measurements in certain areas (Edwards-Groves et al., 2018).Such narrowing of the curriculum can be seen as de-professionalisation of the teaching profession (e.g.Olsson et al., 2020).Malone et al. (2020) went further and asked if '[p]erhaps we have become enslaved by existing narrowing curricula' (151).Moreover, Haggerty et al. (2020) argued that intertwined policy-practice movements create both risks, through the reduction and narrowing of curricula, and possibilities, as multiplicities of becomings, for preschool education.Accordingly, teaching in preschool is not an isolated question.It is not only entangled with questions of teachers' work but also the complex questions of what a child and childhood is (Malone et al., 2020;Tesar et al., 2021aTesar et al., , 2021b)).These researchers encourage us to acknowledge multiple stories of childhoods by thinking with new philosophies and concepts and re-think how research can be done.

Methodology for creating explorative research assemblages: Collaborative cartography
To think with Deleuze and Guattari is to engage in philosophical ways of doing inquiry (Tesar et al., 2021a(Tesar et al., , 2021b)), what Masny (2013) expresses as 'doing Deleuze ' (p. 339).This 'can lead to a blurring of conceptual and practical boundaries' (Malone et al., 2020:218) making content and method entangled.In the process of the collaborative cartography in this study, we have plugged in philosophical concepts (Mazzei and Jackson, 2017) in order to think beyond and challenge the dominant and traditional stories of teaching.The choice to use a cartographic methodology was motivated by the desire to start from within and staying where thoughts, ideas and practices are constituted and defined in ongoing movements.Previous research from Aronsson and Lenz Taguchi (2018) showed that a collaborative chartography can be a productive exploration with the potential to differentiate both research and preschool practices.Deleuze and Guattari's (1987) encourage us to '[m]ake a map, not a tracing' (12).However, as underlined by Lenz Taguchi (2016), there is a double movement in the cartographic methodology, both tracing articulations and mapping to produce potentialities for new becomings which we have considered.In accordance with chosen methodology, we have not sought meaning about how teaching is produced, instead as Deleuze and Guattari (1987) put it: 'We will ask what it functions with, in connection with what other things it does or does not transmit intensities' (4).Mazzei and Jackson (2017) pointed out that 'Specifically, mapping the function and effects of the assemblage is to see how a territorial field is both made (through repetition) and unmade (de-territorialisation) through the rhizomatic connectivity of assemblages' (1094).
Due to the COVID-19 pandemic, we could not take part in preschool practices involving children to explore how teaching is produced in preschool practice.A collaborative chartography that took place in the planning and reflection practices with practitioners enabled an exploration in another way.This study was made as a part of a broader project where all teaching staff at three preschools, in the same preschool area, participates.The aim of that project was to develop both the joint development and quality work in the preschool area and the teaching at the different preschools based on the practitioners' own questions.Two groups of practitioners took part in this specific study, one consisting of a single work team and the other of a preschool teacher from each preschool assigned to work with quality development.Concerning ethics, informed consent was collected, and the broader project has received ethical approval from the Swedish Ethical Review Authority.
Although mapping should be understood as an ongoing process, only the specific sessions in which human (the practitioners and researcher(s)) and non-human (e.g.documentations, books, pictures and creative materials) agents met are described below.The practitioners were asked to bring different materials that they connected to teaching in preschool and the researchers also brought materials and participated in the mapping, that started on a tablecloth.It should not be understood that the map was a fixed item; rather, it was used to make the sessions the explorative and playful encounters that we wanted them to be.Over a period of 6 months, seven mapping sessions were conducted with the preschool practitioners.The doctoral student, the first author, participated in all the mapping sessions, whereas the senior researcher, supervisor and second author participated in two sessions with each group, at the beginning and end of the period.Each mapping session lasted around 2 hours, and all sessions were audio-recorded and transcribed.The transcripts were brought back to the participants to take part of the ongoing collaborative analysis, which was intertwined with the continuous mapping.Typically, the sessions started with a retrospective part, revisiting both the previous session, and discussing what had happened in preschool practice in the interim.The practitioners brought reflections, frustrations, documentations and materials to become part of the mapping.Sticky notes were used to add concepts, questions and thoughts and lengths of string to mark connections and intertwinings.In addition, we as researchers created friction and caused provocation to further trouble the concept and practice of preschool teaching.Tsing (2005) discussed friction as a productive forcenot as resistance per se, but as a reminder 'that heterogeneous and unequal encounters can lead to new arrangements of culture and power' (5).In this collaborative work, the creative provocations involved posing critical and annoying questions, documenting the frequency of teaching and proposing theoretical texts for reading or trying new teaching strategies.We as researchers were transparent with when we intended to provoke, and the practitioners were aware of this and had approved.In the following section, we enter the cartography by asking how teaching comes into being and following and exploring the movements of territorialisation and re-/de-territorialisation.
Entering the chartography: Desires, chaos and territories of teaching Throughout the collaborative process, the map was both created and transformed.Incorporating the assemblages of teaching, the map included books, previous experiences, documentations, reflections, iPads, pictures, articles, creative materials (i.e.paper, pencils, paints and paintbrushes), sticky notes, books for children, pedagogical literature, stories, toys and much more.During one of the mapping sessions, a printed edition of the Curriculum for the preschool (SNAE, 2019) lay just outside the tablecloth marking the map but still affected the dialogue.Utterances such as 'teaching is dependent on the teacher' and 'teaching is goal-orientated' echoed the curriculum formulations.These segmentary lines of articulation created tensions and frictions when meeting the desires in the teaching assemblage.When desire[s] 'selects materials' (Buchanan, 2021, p. 56), in this case to engage in teaching, a pinecone's properties become more than a carrier of seeds, cone-becomingworld: 'I love all natural materials, there's so much, it's everything, really, it's the world, this natural material, the smell, the shape, how it feels, it's beautiful, it's art too, just look on how it is structured.Bring in a dried flower'.Within the cartography, gathering natural materials and spending time outdoors, preferably in the forest, are driven by the creating-closeness-and-connection-to-thenature-desire.According to earlier research, the outdoors, as a place, has a special space in preschool education (e.g.Halldén, 2011).It is a space for freedom, where running and wild play are allowed, creating endless opportunities for children to play, but 'is this teaching?'Tensions and frictions between policy formulations and the desires create insecurity, ambiguity and/or resistance in relation to being a teacher and teaching in preschool are expressed in the cartography.We discuss these tensions and frictions as chaos below.Deleuze and Guattari (1987) highlight the relation between chaos and territory in the following 'I growl if anyone enters my territory, I put up placards.Critical distance is a relation based on matters of expression.It is a question of keeping at a distance the forces of chaos knocking at the door' (319-320).Although the professionalisation that is created through the strengthening of the teaching mission appeals to the teachers as the becomingprofessional-desire is active, the chaos also gives rise to movements of territorialisation.The territories feel familiar and comfortable and protect the teachers from the chaos and mark their resistance to the agency of policy as well as the space needed for professional judgement.We followed the lines and movements of territorialisation and de-territorialisation and in addition what these movements produced.
First, we enter three of the territories that emerged when mapping teaching in preschool planning and reflecting practices.The first territory we call The territory of teaching-happens-in-everysituation-and-all-the-time, the second The territory of teaching-takes-children's-interest-as-astarting-point and the third The territory of preschool-teachers-teach-while-learning-together-with-the-children.After the territories follow the movements of some de-territorialisations, that is, ruptures and reconfigurations of the dominant lines of thinking teaching in preschool.When thinking with Deleuze and Guattari, staying in the arising complexities become important, fighting against reductionism.
There is a constant tendency to seek a 'reduction' [...] But this is to content oneself with extracting a pseudoconstant of content, which is no better than extracting a pseudoconstant of expression.Placing-invariation allows us to avoid these dangers, because it builds a continuum or medium without beginning or end (94).
In the following, the '(un)' construction suggests that a phenomenon is considered a continuum, where all dimensions are continuously acknowledged, not an 'either/or'.We think of multiple continuums as layers of the territories of teaching, such as (un)place, (un)time, (un)arrangement, (un)knowledge and (un)goal, layers that will be (un)folded in coming sections.

The territory of teaching-happens-in-every-situation-and-all-the-time
Although she is still sitting down, her whole body shows how she walks backwards down the stairs to let the children try to take the steps on their own, in a safe way.'We've deliberately chosen to let them do that […] it just takes a little extra time'.The movements and non-movements, as in walking backwards and standing still, waiting, creates a space for trying, possibly failing and teaching.The situation above, and other routine situations such as the process of getting dressed or climbing the ladder to the nappy changing table, provides opportunities for teaching and learning.To handle the fact that preschool teaching is unfamiliar and sometimes inconvenient, the practitioners negotiated the space and content of teaching such as by making the nappy changing table a place for teaching communication skills and motor skills.By relating the situation of changing nappies to the goals of the curriculum, this routine situation becomes a teaching event.'We have this as a goal with the motor skills, and they [the children] love this, that you actually take the time to let them climb onto the changing table'.Here, teaching materialises as let-them-climb-care, in everyday preschool life.In line with this, the cloakroom can become a place for teaching mathematics (i.e.counting, pairing and naming prepositions) while getting dressed.'We have two gloves, and we must pull the ribbon under the heel, and we must put the sock on top of the foot, so we have mathematics everywhere'.The practitioners noted that they had changed their thoughts about what they considered to be teaching.'We are trying to think about this now-a teaching situation in everyday life [referring to changing nappies] that you have not always thought about before'.Their original thoughts on teaching mainly hade connotations to their notions on formal teaching from primary school, thought which they resisted to use in preschool practice.Mathematics, language and science were referred to as areas of knowledge instead of subjects in order to sustain the uniqueness of preschool as a place for broad and interdisciplinary learning and teaching.Thus, there remains a comfort in that mathematic can be taught everywhere, balancing the tensions between subject orientation and value orientation and/or interdisciplinary teaching.When the desire-to-maintain-preschool-as-somethingunique selects the changing table or the cloakroom as spaces for not-sitting-in-a-bench-as-inschool-teaching it can be seen as chaos management, handling the fear of schoolification.Although the distance to primary school is marked, collective enunciations from school traditions are used to underpin the fact that preschool is also a space for teaching, where activities that have mathematical content are considered to be teaching per se, since mathematics is a school subject.Within this territory rests the promise of teaching being full of potentialities following enunciations such as 'there is no limit'.This may be due to the high degree of freedom in the national curriculum, only pointing out what to teach about in terms of goals but not how to teach (SNAE, 2019).
The territory of teaching-happens-in-every-situation-and-all-the-time unfolds the continuums of un(place) and un(time).These continuums mark that this territory contains teaching that is not bound to a specific place or time but still connected to a specific place-time (i.e. the practice of preschool).With (un)place and (un)time, teaching becomes an ongoing practice in which 'you have to take all the chances you have' to teach, whenever and wherever they appear.The territory functions with the collective enunciations from the curriculum that teaching can also be spontaneous and take place during the whole day (SNAE, 2019).As such, there are rich opportunities for children but a challenge for the profession with the idea that teaching could potentially (and therefore should) take place during the extensive opening hours of preschools; up to 13 h a day, 250 days a year.The definition of teaching in the Education Act (SFS 2010:800) points out that preschool teachers are those who teach and/or guide the teaching, although teaching can also be performed by, for example, caregivers.The new policy formulations challenge the preschool tradition of sameness and of a united we as pedagogues, regardless of education, that is materialised in the organisation such as rolling schedules and division of labour, departing mainly from the idea of justice.Segmentary lines of articulation, such as 'everyone should be equal' and 'there should be no difference', underline the value of unity.Preschool teachers are unfamiliar with the idea of themselves having a leadership assignment; they struggle with didactics as a concept themselves and find it difficult to identify what a teaching strategy can be.This causes insecurity regarding teaching, depending on which profession is present in different situations during the day and whether teaching takes place or not.

The territory of teaching-takes-children's-interest-as-a-starting-point
After 3 months of planning, it was finally time for the party, with stuffed animals as guests.'They've [the children] been looking forward to this party quite a lot, they've waited quite a long time'.The preparations included activities such as drawing invitation cards and deciding what to do and eat at the party.Balloons, popcorn, leftover ginger biscuits and dressing up were used to create a party atmosphere at the preschool, and everyone was invited.Such parties provide a well-known and safe space for both children and adults.Stuffed animals are soft and feel nice on the skin, and they can be carried, hugged and cuddled.'The children are so interested in stuffed animals right now, so to focus on that, we read a book about a party for animals'.The choice of stuffed animals was driven by the desire-to-listen-to-the-not-so-loud-voices and let more children influence the content of the teaching, to counterbalance arising inequalities when firefighters and policemen are more prominent than stuffed animals.Following the interests of the children through reading a book and planning the party, the stuffed animals shift from being children's interests and an entrance to further exploring wild animals beyond traces, to be an (un)goal in itself.This territory of teaching enfolds the continuum of (un)goal, the goals and content do at some point shift into the teaching practice itself, the form or modality of the teaching and vice versa, a phenomenon discussed by Westman and Bergmark (2014).When the curriculum goals disappear, the overarching question of what teaching is and can be demands attention, since teaching per se is a goal-orientated practice according to the national curriculum (SNAE, 2019).The question is uncomfortable, making us, as researchers, become curriculum wavers, trying to give voice to the policy formulations on teaching.The desireto-listen-to-all-children's-voices and let children exercise influence, participate and experience democracy through the stuffed animals produced friction and a sort of chaos, since the curriculum states that teaching is goal-driven and therefore directional in some way.Having to decide which of the 33 goals from the curriculum to direct beforehand makes the practitioners to fear losing the children's interest and narrow the teaching, 'I don't want to set a limitation, it shouldn't just be reading comprehension or language, but let it be everything'.
The continuum of (un)time also unfolds in this territory.A fluctuation of children's interests, sometimes cheered on by the seasons, including the freezing and melting around winter, wakening of ants and small animals in the spring and growth of mushrooms in the autumn, causes the timeslots for different interests to narrow.As the practitioners noted, the process of teaching-reflectingplanning-teaching cannot keep up with the pace -'They [the children] are not there anymore'and dimensions of (un)time and (un)teaching emerge.Anyhow, the practitioners found some comfort in the fact that preschool in Sweden does not have goals to achieve but goals to strive for, placing the process, and not what might at first seem like the goal, in focus.'Regardless of what we do, the children will develop and still progress'.Accordingly, a continuum of (un)arrangements is also part of this territory, where practitioners in different degrees arrange encounters, with children, materials, content, questions and phenomena to intra-act, experience and explore.To provoke them, the practitioners were asked to document their frequency of teaching over the course of a week, divided into planned and spontaneous teaching.This division created confusion, frustration and also possibilities, as a clean-up situation turned into a joyful 'bear is sleeping' play spinning wide, and a planned bridge-building activity ended quickly when the bridge had been built, leaving few threads to work with.
The continuums of (un)goals and (un)arrangement in teaching became productive and created conversations about how children can show interest in things, thoughts and worlds that they have never previously encountered, or been introduced to, but also raised questions about teaching such as: is every activity that is planned teaching per se?Will finding small animals outdoors always become a natural science exploration in line with the curriculum goals?Possible (un)teaching events unfolded.
The territory of preschool-teachers-teach-while-learning-together-with-the-children During a walk in a nearby forest, the children found fly agaric mushrooms.To be on the safe side, no one was allowed to touch the mushrooms, and the practitioners took pictures of them.Further exploration of the mushrooms was carried out indoors, in relation to the photos that had been taken and some fact books.This mushroom story was told and re-told several times during the cartography and repeatedly put back on the map amid joyful laughter.When reading the fact books with the children, the practitioners learnt new facts, and the mushroom space changed from being something that was dangerous to something that functioned as a reminder that practitioners constantly need to stay in learning together with the children to meet the co-discovering-teacher-desire.'We explore together, instead of giving the answer directly', is the idea(l) of a good teacher, flattening the power relations between children and adults.The territory thus mainly functions through arrangements for learning to happen and through teacher participation, as part of a broad vision that children in preschool should 'learn how to learn'.A teaching strategy can be to pose questions that open up discussions and further exploration.To pose such questions may demand content knowledge of the phenomena in focus.Still, directing the teaching towards a specific content is not at the fore.This territory unfolds the continuum of (un)knowledge.Exploring together can be used to handle teachers' gaps in mycology and other subjects and to slow down the process of making space for the joint knowledge production.Frictions appear between being a knowledgeable teaching teacher and a genuinely curious co-explorer of the world together with the children.The practice of listening and not telling can be active in the co-construction of knowledge in a situation (Eidelvald and Engdahl, 2018).Questions of what knowledge is and in what different forms it may appear kept on returning.
Knowledge as what-do-we-for-sure-know-about-the-world-facts pushed forward.Instead of providing different understandings of/with mushrooms and the world, these scientific facts shut down and pushed away other aspects of knowledge.It was not the facts about the mushrooms or whose tracks could be seen in the snow that were in the children's interest, so the exploring togetherness did not appear.'We've seen these tracks every time, we're all bored. . .if we are to continue with this, how do we do that, how do we move forward?' To create joyful and meaningful situations for learning and teaching, as well as to give every child an opportunity to be heard, children are divided into weekly reoccurring buddy groups.What to do in the buddy groups is joint planned in collegial meetings, starting in what previously happened in the groups.The buddy-group-teaching-assemblage produces active-teachers-teachactive-children-expectations and creates a rising frustration when this is not what happens, expressed as 'They [the children] just sat there'.Strategies or (un)arrangementaimed to secure goodquality teachingseem to produce children with not-right-now-any-explorable-questions.Children can, with their (un)questions, show their (dis)like in relation to the ongoing teaching, and the direction of teaching will thereby be reinforced from the teacher to the child.The frustration concerning the buddy-group-teaching-assemblage made cracks in the territory, opening for new lines of thought and de-/re-territorialisation described in the following.

De-/re-territorialising teaching
Thinking aloud became a useful practice in the mapping sessions, with propositions, provocations and questions hovering over the table, 'What should we do?…We need to do something completely different'.Suddenly, a crack in the everyday life that knocks over the expected, a line of flight, moving us in new directions and leaving the well-known territories.Continued, 'Violation of the expected… Maybe that's what we should do more of', challenging the same-same-every-dayroutines that frame preschool practices, and then 'we throw out the buddy groups'.A movement of de-territorialisation, potentially dangerous, the danger was underlined by a burst of nervous laughing around the table.As Buchanan (2021) put it: 'In its fullest sense, deterritorialization means functioning without territory, that is, freefalling into chaos without a safety net or harness, which is why whenever we de-territorialize we immediately seek opportunities to reterritorialize' (89).Nevertheless, the movements of de-territorialisation are filled with a sprinkle of something new and other, things that are not yet known but have possibilities and potentialities.
The throwing-out practice challenges the whole structure and organisation of everyday life in preschools, since working in small groups and focusing on social aspects of learning can be seen as a preschool way to organise planned teaching and a means to keep the idea of a traditional school at a distance.The practice of throwing-out does not concern leaving preschool methods behind and becoming a school, but it is instead to rethink and reconfigure the everyday assumptions and practices of teaching in preschools.This way of organising children is intended to secure highquality education and teaching by giving children opportunities to exert influence while still being listened to, which can be harder to achieve when the whole group is together.Throwing-out was suggested, since the legitimacy for the system with buddy groups may be questioned.The following solution was formulated: 'Instead of planning the teaching, we need to plan the education'.The teaching assemblages unfolded, and the continuums of (un)arrangement, (un)knowledge, (un)time, (un)place and (un)goal placed the philosophical question of what teaching and education can be back on the map, along with tangible and practical questions of how to organise everyday practices in an adequate way.By directing the overall preschool education into goals, and not just teaching, the practitioners sought to secure a broader framing of teaching in time and space.The planned/spontaneous division loosens, from focusing on the content (goal) to focusing on whether an occasion is planned beforehand or if it just appears.Teaching as an exploring-togethernesspractice can take place everywhere-and-all-the-time, driven and challenged by the interests of the children.The movements of de-territorialisation are powerful, as they open up for thinking differently, creating multiplicities.A line of flight is only a line of flight the first time it appears; it cannot be repeated, and the second time it happens, it is already segmentary.Based on the connectivity of the rhizome, the territory is increased when de-territorialisation happens, as it will be followed by re-territorialisation.To throw out the buddy groups is ground-breaking the first time it happens and still tickling the second time, and it is also active in materialising teaching in slightly new practices.

Concluding remarks
The idea of the chartography in this study, in line with Aronsson and Lenz Taguchi (2018), was to make 'a shift from orthodoxy to multiplicity' (254) and create encounters to continue to think with, rather than trying to understand and categorise practices (of teaching) and thoughts as good or bad, and instead follow movements of re-/de-territorialisation and constantly ask how and with what teaching functions.This Harawayian staying-with-the-trouble-approach enabled several nonunison stories of teaching to be heard.As noted, tension and frictionand even chaosare created when changes in policy formulations encounter the desiresthe forces of productionthat materialise and act in different ways, producing territories of teaching.The three territories laid out in the cartography unfold multiple continuums such as (un)place, (un)time, (un)arrangement, (un) knowledge and (un)goal, showing that layers of the territories exist simultaneously, within the assemblage of teaching, which in itself become a continuum of (un)teaching.
The preschool practitioners in this study are busy navigating policy with a slightly new vocabulary and assumptions about teaching from other school traditions.Place and time for teaching are negotiated to fit the renewed assignment and retain the uniqueness of preschool, trying to cope with fears over schoolification.In addition, arrangements and strategies for teaching beyond traditions are also in movement.According to the national curricula, the mission however is to perform teaching in line with the goals even though it feels uncomfortable since it may reduce children's agencies and narrow or limit what teaching in preschool education can be.The continuum of (un)arrangements, where teaching is not always necessary for children's learning, acknowledges children's ability and curiosity as well as different learning environments.Still, it undervalues teachers' profession and the possibilities to challenge and tickle children's desire, engagement and motivation through teaching.
This study shows that the issue of time is tangible; there are many different times for specific activities, among them, teaching.Earlier research has discussed the temporality of education for young children and how to overcome the dominant linear view on time (e.g.da Rosa Riberio, 2023; Westman and Alerby, 2012).The continuum of (un)time unfolded in this study shows how different layers of time coexistlinear and rhizomatic and everything in-betweenentangled.Stretching in (un)time is an opportunity to dig deep as well as a risk of standing still and stopping, losing potential within children's interest.Olsson et al. (2020) described a development whereby the uniqueness of preschool has gradually decreased and shifted and adapted to other school forms.The territories of teaching that are mapped in this paper give a glimpse of what teaching can be beyond that.Some of the stories are more openended than others.The openness, sometimes a crack, like the throwing-out-practice, shows the potentiality for new assemblages of teaching.Colebrook (2017) as well as Malone et al. (2020) and Tesar et al. (2021a;2021b) argues that we need to think about and conduct education differently, not just by providing answers or using methods that are already known but by instead engaging in creating new worlds through encounters with human and non-human bodies.
Teaching, in both preschool policy and practice, can be seen as constantly becoming or in multiple entanglements with the here and now; the then and before; global trends and local movements; and what is yet to come.Policy changes do not happen in a vacuum but in ongoing entanglement with the world, giving rise to differing policy priorities at different times (Haggerty et al., 2020).Policy affects preschool teachers' professional identity, preschools' institutional identity and how teaching should be performed, as well as children's possibility to be and become both now and in the future.The assemblages of (un)teaching which we entered in this study prompt questions: Who have the legitimacy and power to define what counts as teaching?What kind of place for children, practitioners and the world do we want preschools to be?We also find it important that policymakers acknowledge teachers' professional judgement concerning how teaching may come in to being in preschool.If learning can take place and shape in a myriad of ways, teaching needs to respond to that.

Declaration of conflicting interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.