Modelling data in applied areas particularly in reliability engineering is a prominent research topic. Statistical models play a vital role in modelling reliability data and are useful for further decision-making policies. In this paper, we study a new class of distributions with one additional shape parameter, called a new generalized exponential-X family. Some of its properties are taken into account. The maximum likelihood approach is adopted to obtain the estimates of the model parameters. For assessing the performance of these estimators, (...) a comprehensive Monte Carlo simulation study is carried out. The usefulness of the proposed family is demonstrated by means of a real-life application representing the failure times of electronic components. The fitted results show that the new generalized exponential-X family provides a close fit to data. Finally, considering the failure times data, the Bayesian analysis and performance of Gibbs sampling are discussed. The diagnostics measures such as the Raftery–Lewis, Geweke, and Gelman–Rubin are applied to check the convergence of the algorithm. (shrink)

Body ownership concerns what it is like to feel a body part or a full body as mine, and has become a prominent area of study. We propose that there is a closely related type of bodily self-consciousness largely neglected by researchers—experiential ownership. It refers to the sense that I am the one who is having a conscious experience. Are body ownership and experiential ownership actually the same phenomenon or are they genuinely different? In our experiments, the participant watched a (...) rubber hand or someone else’s body from the first-person perspective and was touched either synchronously or asynchronously. The main findings: (1) The sense of body ownership was hindered in the asynchronous conditions of both the body-part and the full-body experiments. However, a strong sense of experiential ownership was observed in those conditions. (2) We found the opposite when the participants’ responses were measured after tactile stimulations had ceased for 5 s. In the synchronous conditions of another set of body-part and full-body experiments, only experiential ownership was blocked but not body ownership. These results demonstrate for the first time the double dissociation between body ownership and experiential ownership. Experiential ownership is indeed a distinct type of bodily self-consciousness. (shrink)

Ensuring adequate informed consent for surgery in a trauma setting is challenging. We developed and pilot tested an educational video containing information regarding the informed consent process for surgery in trauma patients and a knowledge measure instrument and evaluated whether the audiovisual presentation improved the patients’ knowledge regarding their procedure and aftercare and their satisfaction with the informed consent process. A modified Delphi technique in which a panel of experts participated in successive rounds of shared scoring of items to forecast (...) outcomes was applied to reach a consensus among the experts. The resulting consensus was used to develop the video content and questions for measuring the understanding of the informed consent for debridement surgery in limb trauma patients. The expert panel included experienced patients. The participants in this pilot study were enrolled as a convenience sample of adult trauma patients scheduled to receive surgery. The modified Delphi technique comprised three rounds over a 4-month period. The items given higher scores by the experts in several categories were chosen for the subsequent rounds until consensus was reached. The experts reached a consensus on each item after the three-round process. The final knowledge measure comprising 10 questions was developed and validated. Thirty eligible trauma patients presenting to the Emergency Department were approached and completed the questionnaires in this pilot study. The participants exhibited significantly higher mean knowledge and satisfaction scores after watching the educational video than before watching the video. Our process is promising for developing procedure-specific informed consent and audiovisual aids in medical and surgical specialties. The educational video was developed using a scientific method that integrated the opinions of different stakeholders, particularly patients. This video is a useful tool for improving the knowledge and satisfaction of trauma patients in the ED. The modified Delphi technique is an effective method for collecting experts’ opinions and reaching a consensus on the content of educational materials for informed consent. Institutions should prioritize patient-centered health care and develop a structured informed consent process to improve the quality of care. The ClinicalTrials.gov Identifier is NCT01338480. The date of registration was April 18, 2011. (shrink)

Background Ensuring adequate informed consent for surgery in a trauma setting is challenging. We developed and pilot tested an educational video containing information regarding the informed consent process for surgery in trauma patients and a knowledge measure instrument and evaluated whether the audiovisual presentation improved the patients’ knowledge regarding their procedure and aftercare and their satisfaction with the informed consent process. Methods A modified Delphi technique in which a panel of experts participated in successive rounds of shared scoring of items (...) to forecast outcomes was applied to reach a consensus among the experts. The resulting consensus was used to develop the video content and questions for measuring the understanding of the informed consent for debridement surgery in limb trauma patients. The expert panel included experienced patients. The participants in this pilot study were enrolled as a convenience sample of adult trauma patients scheduled to receive surgery. Results The modified Delphi technique comprised three rounds over a 4-month period. The items given higher scores by the experts in several categories were chosen for the subsequent rounds until consensus was reached. The experts reached a consensus on each item after the three-round process. The final knowledge measure comprising 10 questions was developed and validated. Thirty eligible trauma patients presenting to the Emergency Department were approached and completed the questionnaires in this pilot study. The participants exhibited significantly higher mean knowledge and satisfaction scores after watching the educational video than before watching the video. Conclusions Our process is promising for developing procedure-specific informed consent and audiovisual aids in medical and surgical specialties. The educational video was developed using a scientific method that integrated the opinions of different stakeholders, particularly patients. This video is a useful tool for improving the knowledge and satisfaction of trauma patients in the ED. The modified Delphi technique is an effective method for collecting experts’ opinions and reaching a consensus on the content of educational materials for informed consent. Institutions should prioritize patient-centered health care and develop a structured informed consent process to improve the quality of care. Trial registration The ClinicalTrials.gov Identifier is NCT01338480. The date of registration was April 18, 2011. (shrink)

We investigate two issues about the subjective experience of one's body: first, is the experience of owning a full-body fundamentally different from the experience of owning a body-part?Second, when I experience a bodily sensation, does it guarantee that I cannot be wrong about whether it is me who feels it? To address these issues, we conducted a series of experiments that combined the rubber hand illusion (RHI) and the “body swap illusion.” The subject wore a head mounted display (HMD) connected (...) with a stereo camera set on the experimenter's head. Sitting face to face, they used their right hand holding a paintbrush to brush each other's left hand. Through the HMD, the subject adopted the experimenter's first-person perspective (1PP) as if it was his/her own 1PP: the subject watched either the experimenter's hand from the adopted 1PP, and/or the subject's own hand from the adopted third-person perspective (3PP) in the opposite direction (180°), or the subject's full body from the adopted 3PP (180°, with or without face). The synchronous full-body conditions generate a “self-touching illusion”: many participants felt that “I was brushing my own hand!” We found that (1) the sense of body-part ownership and the sense of full-body ownership are not fundamentally different from each other; and (2) our data present a strong case against the mainstream philosophical view called the immunity principle (IEM). We argue that it is possible for misrepresentation to occur in the subject's sense of “experiential ownership” (the sense that I am the one who is having this bodily experience). We discuss these findings and conclude that not only the sense of body ownership but also the sense of experiential ownership call for further interdisciplinary studies. (shrink)

We investigated whether, in the emergency department, educational video-assisted informed consent is superior to the conventional consent process, to inform trauma patients undergoing surgery about the procedure, benefits, risks, alternatives, and postoperative care. We conducted a prospective randomized controlled trial, with superiority study design. All trauma patients scheduled to receive trauma-related debridement surgery in the ED of Kaohsiung Medical University Hospital were included. Patients were assigned to one of two education protocols. Participants in the intervention group watched an educational video (...) illustrating informed consent information, whereas those in the control group read an informed consent document. The primary outcome was knowledge scores and the secondary outcome was assessment of patient satisfaction. A multivariable regression model, with predefined covariates, was used to analyze differences in knowledge scores and patient satisfaction levels between the groups. A total of 142 patients were enrolled, with 70 and 72 assigned to the intervention and control groups, respectively. Mean knowledge scores were higher in the intervention ) than in the control group. By multivariate analysis, the intervention group had significantly greater differences in knowledge scores. Age, injury severity score, and baseline knowledge score significantly affected the differences in knowledge scores. Significant improvements were observed in patients’ perception of statements addressing comprehension of the information provided, helpfulness of the supplied information for decision making, and satisfaction with the informed consent process. Multivariate analysis showed significant correlations between video education and patient satisfaction. Both the educational approach and severity of injury may have an impact on patient understanding during the informed consent process in an emergency environment. Video-assisted informed consent may improve the understanding of surgery and satisfaction with the informed consent process for trauma patients in the ED. Institutions should develop structured methods and other strategies to better inform trauma patients, facilitate treatment decisions, and improve patient satisfaction. The ClinicalTrials.gov Identifier is NCT01338480. The date of registration was April 18, 2011. (shrink)

In a recent study (Chen et al., 2018), we conducted a series of experiments that induced the “four-hand illusion”: using a head-mounted display (HMD), the participant adopted the experimenter’s first-person perspective (1PP) as if it was his/her own 1PP. The participant saw four hands via the HMD: the experimenter’s two hands from the adopted 1PP and the subject’s own two hands from the adopted third-person perspective (3PP). In the active four-hand condition, the participant tapped his/her index fingers, imitated by the (...) experimenter. Once all four hands acted synchronously and received synchronous tactile stimulations at the same time, many participants felt as if they owned two more hands. In this paper, we argue that there is a philosophical implication of this novel illusion. According to Merleau-Ponty (1945/1962) and Legrand (2010), one can experience one’s own body or body-part either as-object or as-subject but cannot experience it as both simultaneously, i.e., these two experiences are mutually exclusive. Call this view the Experiential Exclusion Thesis. We contend that a key component of the four-hand illusion—the subjective experience of the 1PP-hands that involved both “kinesthetic sense of movement” and “visual sense of movement” (the movement that the participant sees via the HMD)—provides an important counter-example against this thesis. We argue that it is possible for a healthy subject to experience the same body-part both as-subject and as-object simultaneously. Our goal is not to annihilate the distinction between body-as-object and body-as-subject, but to show that it is not as rigid as suggested by the phenomenologists. (shrink)

Background: To evaluate the effectiveness of a multifaceted intervention in improving emergency department (ED) patient privacy and satisfaction in the crowded ED setting. Methods: A pre- and post-intervention study was conducted. A multifaceted intervention was implemented in a university-affiliated hospital ED. The intervention developed strategies to improve ED patient privacy and satisfaction, including redesigning the ED environment, process management, access control, and staff education and training, and encouraging ethics consultation. The effectiveness of the intervention was evaluated using patient surveys. Eligibility (...) data were collected after the intervention and compared to data collected before the intervention. Differences in patient satisfaction and patient perception of privacy were adjusted for predefined covariates using multivariable ordinal logistic regression. Results: Structured questionnaires were collected with 313 ED patients before the intervention and 341 ED patients after the intervention. There were no important covariate differences, except for treatment area, between the two groups. Significant improvements were observed in patient perception of "personal information overheard by others", being "seen by irrelevant persons", having "unintentionally heard inappropriate conversations from healthcare providers", and experiencing "providers' respect for my privacy". There was significant improvement in patient overall perception of privacy and satisfaction. There were statistically significant correlations between the intervention and patient overall perception of privacy and satisfaction on multivariable analysis. Conclusions: Significant improvements were achieved with an intervention. Patients perceived significantly more privacy and satisfaction in ED care after the intervention. We believe that these improvements were the result of major philosophical, administrative, and operational changes aimed at respecting both patient privacy and satisfaction. (shrink)

Self-location—the sense of where I am in space—provides an experiential anchor for one's interaction with the environment. In the studies of full-body illusions, many researchers have defined self-location solely in terms of body-location—the subjective feeling of where my body is. Although this view is useful, there is an issue regarding whether it can fully accommodate the role of 1PP-location—the sense of where my first-person perspective is located in space. In this study, we investigate self-location by comparing body-location and 1PP-location: using (...) a head-mounted display (HMD) and a stereo camera, the subjects watched their own body standing in front of them and received tactile stimulations. We manipulated their senses of body-location and 1PP-location in three different conditions: the participants standing still (Basic condition), asking them to move forward (Walking condition), and swiftly moving the stereo camera away from their body (Visual condition). In the Walking condition, the participants watched their body moving away from their 1PP. In the Visual condition, the scene seen via the HMD was systematically receding. Our data show that, under different manipulations of movement, the spatial unity between 1PP-location and body-location can be temporarily interrupted. Interestingly, we also observed a “double-body effect.” We further suggest that it is better to consider body-location and 1PP-location as interrelated but distinct factors that jointly support the sense of self-location. (shrink)

Recent studies of the rubber hand illusion (RHI) have shown that the sense of body ownership is constrained by several factors and yet is still very flexible. However, exactly how flexible is our sense of body ownership? In this study, we address this issue by investigating the following question: is it possible that one may have the illusory experience of owning four hands? Under visual manipulation, the participant adopted the experimenter’s first-person perspective (1PP) as if it was his/her own. Sitting (...) face to face, the participant saw four hands—the experimenter’s two hands from the adopted 1PP together with the subject’s own two hands from the adopted third-person perspective (3PP). We found that: (1) the four-hand illusion did not occur in the passive four-hand condition. (2) In the active four-hand condition, the participants tapped their index fingers, imitated by the experimenter. When tactile stimulations were not provided, the key illusion was not induced, either. (3) Strikingly, once all four hands began to act with the same pattern and received synchronous tactile stimulations at the same time, many participants felt as if they had two more hands. These results show that the sense of body ownership is much more flexible than most researchers have suggested. (shrink)

Yen Fu was one of the four representatives who looked to the West for truth before the birth of the Chinese Communist Party. Our research on his life and work is still insufficient. Needless to say, both Yen Fu and Lin Shu were known as famous translators in pre-Liberation days. But Lin Shu cannot be equated with Yen Fu, insofar as their ideological and academic achievements and their contributions to modern China are concerned. From the post-Liberation days to the eve (...) of the Great Cultural Revolution, research works on Yen Fu remained scanty and he was seldom mentioned in articles on the advanced models among modern Chinese thinkers. More articles on Yen Fu appeared during the Criticize-Lin, Criticize-Confucius Campaign because Yen Fu had been mentioned by Chairman Mao. But the "Gang of Four" openly defied Chairman Mao's explicit direction by tampering with modern Chinese history, fabricating the struggle between the Confucians and the Legalists and describing Yen Fu as a Legalist. Chairman Mao pointed out: "Before the May Fourth movement, the struggle on the Chinese cultural front was one between the new bourgeois culture and the old feudal culture, and the antagonisms between modern schools and imperial examinations, between the new learning and the old learning and between Western thought and Chinese thought were all of the same nature." But, in the articles by Liang Hsiao and Lo Ssu-ting, all this has been described as the struggle between Legalists and Confucians and between Legalism and Confucianism. Thus, Chang Tai-yen, not Sun Yat-sen, is regarded as a bourgeois revolutionary and "Legalist." Yen Fu, not the "Confucian" K'ang Yu-wei, is treated as a representative of the bourgeois Reformists. This attitude has caused serious theoretical, ideological and academic chaos. We should do away with the chaos, conduct a thorough criticism of the "Gang of Four" and push forward our academic research work in accordance with the principle of "letting a hundred schools of thought contend.". (shrink)

Case law retrieval is the task of locating truly relevant legal cases given an input query case. Unlike information retrieval for general texts, this task is more complex with two phases (legal case retrieval and legal case entailment) and much harder due to a number of reasons. First, both the query and candidate cases are long documents consisting of several paragraphs. This makes it difficult to model with representation learning that usually has restriction on input length. Second, the concept of (...) relevancy in this domain is defined based on the legal relation that goes beyond the lexical or topical relevance. This is a real challenge because normal text matching will not work. Third, building a large and accurate legal case dataset requires a lot of effort and expertise. This is obviously an obstacle to creating enough data for training deep retrieval models. In this paper, we propose a novel approach called supporting model that can deal with both phases. The underlying idea is the case–case supporting relation and the paragraph–paragraph as well as the decision-paragraph matching strategy. In addition, we propose a method to automatically create a large weak-labeling dataset to overcome the lack of data. The experiments showed that our solution has achieved the state-of-the-art results for both case retrieval and case entailment phases. (shrink)

Do people with different views of what is fair attribute different intentions to actions? In a novel experimental design, participants were significantly more likely to attribute a no-redistribution vote to selfishness if they considered redistribution as being fair. I define this—attributing actions that do not adhere to one’s own fairness view to selfishness—as suspicious attribution. I develop a theory of intention attribution to show how suspicious attribution arises from two other findings from the experiment: the participants underestimate the number of (...) people with fairness views differing from their own and overestimate the selfishness of participants with other fairness views. I discuss how the findings can help explain political polarization. (shrink)

Our paper draws attention to a neglected channel of corruption—the bribe payments by state-owned enterprises. This is an important phenomenon as bribe payments by SOEs fruitlessly waste national resources, compromising public welfare and national prosperity. Using a large dataset of 30,249 firms from 50 countries, we show that, in general, SOEs are less likely to pay bribes for achieving organizational objectives owing to their political connectivity. However, in deteriorated institutional environments, SOEs may be subjected to potential managerial rent-seeking behaviors, which (...) disproportionately increase SOE bribe propensity relative to privately owned enterprises. Specifically, our findings highlight the importance of fostering democracy and rule of law, reducing prevalence of corruption and shortening power distance in reducing the incidence of SOE bribery. (shrink)

"Science and religion are often viewed as dichotomies. But although our contemporary society is often perceived as a rationalization process, we still need broad, metaphysical beliefs outside of what can be proven empirically. Rituals and symbols remain at the core of modern life. Do our concepts of science and religion require revitalization? Can science itself be considered a religion, a belief, or an ideology? Science's authority and prestige allows for little in the way of alternate approaches not founded in empirical (...) science. It is not unusual to believe that technology and science will solve the world's fundamental problems. Has truth been colonized by science? Have scientific disciplines become so specialized and "operationally closed" that they have constructed barriers to other disciplines as well as the general public? The writers of this book set out to investigate whether the symbols of academia may in some cases take on a quality of sacrality, whether the rule of experts can be said to have the character of a "priesthood of knowledge", whether religion has a place in scientific contexts, and a selection of other questions concerning science and its relations to religious belief."--P. [4] of cover. (shrink)

Compared with the related western studies, Russian ecological philosophy has paid more attention to Eschatology and represented a unique path of thinking, that is, an intense rational conception and a religious consciousness. In the era of globalization, Russian ecological Eschatology, as an active response of Russian ideology to the world ecosystem crisis, contains a strong eschatological emotion and a spirit of salvation. It mainly deals with the sin and punishment between the nature and human being as well as the endeavor (...) of atoning humanity. The first part of the essay traces back the origin and evolution of eschatology and ecology in the two systems of Russian philosophy—humanism and cosmism, with a trimming of the original relationship between the ecological eschatology and the traditional eschatology. The second part explores the way of salvation for the human being in crisis directed by Russian ecological philosophy, which is nourished by the profound spiritual tradition. For the human being, the way of civilization lies in a rebuild of rationality by faith. The goal of faith is to achieve a self-completeness in morality by a heart-open through God. In this way, the destiny of the world may be changed. This is the only hope of the human being and, therefore, a new chapter of salvation for our times. (shrink)

Compensation rules for patent infringement greatly affect patent quality, which is closely related to R & D investments. In this study, A duopoly game model was developed to analyze innovative factories’ R&D investment and patent licensing behavior, as well as the strategic choices of potential infringers under different compensation rules for patent infringement. Furthermore, a comparative analysis was conducted to analyze the patent quality under different scenarios, ultimately finalizing an optimal sequence rule for patent infringement compensation. The results show that (...) patent quality is influenced by the invention height of patent and R&D efficiency, while the amount of patent infringement compensation has a great effect on potential infringement behavior. Patent quality can be effectively improved if the court adopts a proper sequence rule for patent infringement compensation according to the market circumstances. (shrink)

Antibiotic resistance in bacteria has become a great threat to global public health. Tigecycline is a next‐generation tetracycline that is the final line of defense against severe infections by pan‐drug‐resistant bacterial pathogens. Unfortunately, this last‐resort antibiotic has been challenged by the recent emergence of the mobile Tet(X) orthologs that can confer high‐level tigecycline resistance. As it is reviewed here, these novel tetracycline destructases represent a growing threat to the next‐generation tetracyclines, and a basic framework for understanding the molecular epidemiology and (...) resistance mechanisms of them is presented. However, further large‐scale epidemiological and functional studies are urgently needed to better understand the prevalence and dissemination of these newly discovered Tet(X) orthologs among Gram‐negative bacteria in both human and veterinary medicine. (shrink)

Liang Qichao was a leading political thinker and publicist. His manifesto, On the New People, was published serially in Japan, where Liang—like many other progressive intellectuals in the late Qing—lived and worked for a decade in order to avoid governmental suppression. The present essay was published in 1902 as part of On the New People. Liang began writing about rights as early as 1896; they came to occupy a prominent place in his theorizing after he arrived in (...) Japan in 1898. He was influenced by the Social Darwinist ideas of Kato Hiroyuki, which can be seen most clearly in Liang's 1899 essay "The Right of the Strongest." Although some of these ideas are still present in the current essay, Liang had by this time developed a more complex position, partly through reading and interpreting the ideas of Rudolph von Jhering , a pioneering German legal theorist whose influence on Liang was significant, as Liang himself declares early in this essay. (shrink)

The subject of the study is the works of contemporary St. Petersburg artists of different generations and creative trends, as well as the forms and features of their communication with each other and with the general as well as professional public. The trends of artistic communication in the city are determined by the activities of such institutions as art and non-art museums, art galleries and exhibition centers, which are a classic form of presentation of contemporary art; alternative venues such as (...) creative spaces and art clusters. The field of attention also includes the attraction of St. Petersburg authors to the organization of small artistic associations, mainly art groups, for example, "Unconquered", "North-7", "Parasites", etc. In addition to works of art, theoretical works and reflections by researchers of contemporary art in St. Petersburg and the spaces of its public presentation are involved. The methodological basis is the analysis of the works of St. Petersburg masters of the beginning of the XXI century in the context of the development of urban institutions of artistic communication. The research is based on theoretical works devoted to the problem of artistic communication and trends in the current art process. Comparative-interpretative and typological methods are used to compare the works of artists and forms of artistic communication. The problem of artistic communication in the field of fine art in St. Petersburg is becoming the subject of a separate study. This area of city life is currently developing quite dynamically, as new art associations, curatorial practices and alternative classical platforms for the presentation of the work of authors belonging to different generations and art movements are emerging. Traditional museums and galleries, as well as creative spaces, art clusters and other often non-core institutions, such as libraries and cafes, are involved in this process. Against this background, the features of St. Petersburg artistic communication crystallize, which is characterized by a desire to organize communities, to fuse realistic traditions and current trends, to escapism and symbolism, as well as an interest in oriental themes and stylistics. (shrink)

In this paper, we analyze how citizens evaluate their president, especially focusing on why voters lower their evaluations at an individual-level perspective. We assert that citizens raise their evaluations of a new president when their expectations are met and lower their opinions when his or her performance disappoints them. Furthermore, the evaluations of the president are not only affected by a government's economic and diplomatic performance, but are also influenced by individual awareness of salient political issues, the contents of the (...) news, and their own perceived influence on politics. We test the theoretical hypotheses using Taiwan's Election and Democratization Study panel survey data. The statistical results support our theoretical hypotheses and show that when President Ma's performance did not meet respondents media exposure and political efficacy are significantly associated with the change in their opinions of Ma. (shrink)

Sydney Shoemaker, developing an idea of Wittgenstein’s, argues that we are immune to error through misidentification relative to the first-person pronoun. Although we might be liable to error when “I” (or its cognates) is used as an object, we are immune to error when “I” is used as a subject (as when one says, “I have a toothache”). Shoemaker claims that the relationship between “I” as-subject and the mental states of which it is introspectively aware is tautological: when, say, we (...) judge that “I feel pain,” we are tautologically aware that feels pain is instantiated and that it is instantiated in oneself. Moreover, he contends that this relationship holds not just for bodily sensations, but also for the sense of agency and for visual perception. But we deny that this relationship is tautological; instead, we treat Shoemaker’s principle (IEM) as a hypothesis. We then proceed to show that certain pathological states and experimentally-induced illusions can be adduced to show that IEM describes not a necessary relationship but a contingent relationship, one that sometimes fails to obtain. That we are not immune to error in the way Shoemaker describes has grave consequences for many aspects of his ideas concerning the first-person perspective. In the course of arguing that these empirical phenomena count against IEM, we also show that not only can the content of conscious experience be misrepresented, so too can the subject: that is, not only can the what of conscious experience be misrepresented, so too can the who. (shrink)

The study reported here considers the relationship between emotional state and cooperation. An experiment is conducted in which the emotions of fear, happiness, and disgust are induced using 360-degree videos, shown in virtual reality. There is also a control condition in which a neutral state is induced. Under the Fear, Happiness, and Disgust conditions, the cooperation level is lower than under the Neutral condition. Furthermore, cooperation declines over time in the three emotion conditions, while it does not under Neutral. The (...) findings suggest that emotions are associated with the dynamic pattern of declining cooperation over time. (shrink)

There has been a major international focus on the education and care of toddlers. To date, empirical studies on adults’ interactions in play with toddlers have focussed on the proximity of teachers, teachers’ affective responses, and joint attention between adults and children in play. However, less attention has been given to the role of two teachers working together in supporting children’s exploration of concepts in joint play. This paper takes a cultural-historical perspective and draws upon the concepts of play and (...) subjective positioning to investigate how co-teaching promotes toddlers’ joint play and exploration of mathematical concepts. Visual data of a group of toddlers playing with two teachers is analysed to explore how the teachers applied co-teaching pedagogy to support children’s exploration of mathematical concept. The study argues that co-teaching provides potential to support collective play as two teachers can work collaboratively to address the toddlers’ challenges and needs and support their exploration of the rules and mathematical concepts in play. Co-teaching by paired teachers enables toddlers’ joint play to become more complex, helping the children to explore mathematical concepts and, in turn, further enhancing their play. (shrink)