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<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="doi">10.3389/fpsyg.2024.1384453</article-id>
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<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
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</subj-group>
</article-categories>
<title-group>
<article-title>Why and when does multitasking impair flow and subjective performance? A daily diary study on the role of task appraisals and work engagement</article-title>
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<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Pluut</surname> <given-names>Helen</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Darouei</surname> <given-names>Maral</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref rid="fn1001" ref-type="author-notes"><sup>&#x2020;</sup></xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Zeijen</surname> <given-names>Marijn Eveline Lidewij</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref rid="fn1001" ref-type="author-notes"><sup>&#x2020;</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Department of Business Studies, Institute of Tax Law and Economics, Leiden University</institution>, <addr-line>Leiden</addr-line>, <country>Netherlands</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Management and Organization, School of Business and Economics, VU Amsterdam</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Social, Health and Organizational Psychology, Utrecht University</institution>, <addr-line>Utrecht</addr-line>, <country>Netherlands</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Renato Pisanti, University Niccol&#x00F2; Cusano, Italy</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Diego Bellini, University of Cagliari, Italy</p>
<p>Claudia Kitz, University of Groningen, Netherlands</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Helen Pluut, <email>h.pluut@law.leidenuniv.nl</email></corresp>
<fn fn-type="equal" id="fn1001">
<p><sup>&#x2020;</sup>These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>07</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1384453</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>07</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Pluut, Darouei and Zeijen.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Pluut, Darouei and Zeijen</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>In this diary study, we contribute to research on day-level multitasking in organizations by investigating why and when multitasking impairs employees&#x2019; work-related flow and subjective job performance on a daily basis. Drawing on Lazarus and Folkman&#x2019;s transactional model of stress and coping, we propose that employees&#x2019; appraisal of their daily tasks (i.e., less challenging and more hindering) may explain why multitasking has negative implications for flow and job performance. Moreover, we expect that daily work engagement can buffer the detrimental effects of multitasking on flow and job performance. A total of 33 professional workers in the food industry participated in our study and were asked to respond to 10 daily surveys at work across 4 weeks. In line with our expectations, results showed that on days when employees&#x2019; working time was highly fragmented across a high number of tasks, they experienced less flow and, in turn, their job performance was lower on that particular day. Moreover, appraisal of daily tasks as less challenging &#x2013; though not more hindering &#x2013; explained why multitasking impairs flow. Finally, daily work engagement buffered the detrimental impact of multitasking on flow. The results presented in this paper offer novel and ecologically valid insights into why and when multitasking may backfire for employees.</p>
</abstract>
<kwd-group>
<kwd>multitasking</kwd>
<kwd>flow</kwd>
<kwd>engagement</kwd>
<kwd>stress appraisal</kwd>
<kwd>experience-sampling methodology</kwd>
</kwd-group>
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<fig-count count="2"/>
<table-count count="3"/>
<equation-count count="1"/>
<ref-count count="71"/>
<page-count count="12"/>
<word-count count="10773"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Organizational Psychology</meta-value>
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</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>People believe that doing several things at the same time will help them get more done, and by switching among tasks, they feel productive as more tasks are performed in a single day (<xref ref-type="bibr" rid="ref1">Adler and Benbunan-Fich, 2013</xref>; <xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>). Yet this might simply be an illusion, also referred to as the myth of multitasking (<xref ref-type="bibr" rid="ref57">Rosen, 2008</xref>) or multitasking paradox (<xref ref-type="bibr" rid="ref3">Appelbaum et al., 2008</xref>). Concerns about productivity loss due to multitasking are rampant, especially with the alarming new heights that it has reached. In a field study by <xref ref-type="bibr" rid="ref49">Mark et al. (2005)</xref>, almost a quarter of interrupted work was not resumed on the same day. If work was resumed, it took more than 25&#x2009;min and employees had worked in more than two other working spheres before resuming interrupted work. <xref ref-type="bibr" rid="ref68">Wajcman and Rose&#x2019;s (2011)</xref> study documented an average of 88 work episodes per day, with not even half of the workday being spent on activities that last for more than 10&#x2009;min. The COVID-19 pandemic posed additional challenges, as employees working from home reported an increase in multitasking behaviors (<xref ref-type="bibr" rid="ref47">Leroy et al., 2021</xref>). As <xref ref-type="bibr" rid="ref47">Leroy et al. (2021)</xref> put it: &#x201C;work time has never been so fragmented&#x201D; (p. 1457).</p>
<p>Scholars are yet to fully understand the implications of multitasking for employees and organizations. If detailed comprehension is lacking, society runs the risk that multitasking remains common organizational practice without proper management of its complexities. To increase organizations&#x2019; willingness and ability to address these concerns, it is imperative to study how multitasking behavior relates to employee effectiveness. After having been dominated by studies conducted in laboratory settings (see <xref ref-type="bibr" rid="ref5">Baethge et al., 2015</xref>), the field has witnessed a rise in diary studies, both quantitative (e.g., <xref ref-type="bibr" rid="ref2">Aitken et al., 2023</xref>) and qualitative (e.g., <xref ref-type="bibr" rid="ref26">Feldman and Greenway, 2021</xref>). Importantly, a few diary studies suggest that daily flow &#x2013; a short-term peak experience that individuals experience when fully immersed in an activity (<xref ref-type="bibr" rid="ref16">Csikszentmihalyi, 1997</xref>) &#x2013; may be a key mechanism in the day-level multitasking&#x2013;job performance relationship (<xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>; <xref ref-type="bibr" rid="ref2">Aitken et al., 2023</xref>). Yet it remains elusive what are the psychological processes underlying employees&#x2019; responses to multitasking.</p>
<p>Against this background, we develop and test a conceptual model that specifies a pathway (i.e., <italic>why</italic>) and condition under which (i.e., <italic>when</italic>) day-level multitasking behavior impairs work-related flow and ultimately hampers the subjective performance of employees. In building our conceptual model, we draw on the transactional model of stress and coping (<xref ref-type="bibr" rid="ref42">Lazarus and Folkman, 1984</xref>). This theoretical model posits that reactions to work stressors, such as fragmentation of work time due to multitasking, depend on (1) how we appraise those stressors (i.e., as opportunity or threat) and (2) the resources we possess to cope with those stressors. Recent research on interruptions has indeed shown that the (positive or negative) appraisals of employees shape reactions (<xref ref-type="bibr" rid="ref36">Hunter et al., 2019</xref>; <xref ref-type="bibr" rid="ref20">Darouei et al., 2024</xref>). We go one step further and argue that a work stressor can also shape the appraisal of other, more neutral job characteristics. Specifically, we propose that multitasking influences employees&#x2019; appraisal of their daily tasks (i.e., as less challenging and more hindering) and this explains why multitasking behaviors would impair flow. Moreover, we explore whether day-specific work engagement &#x2013; a positive and high arousal affective-motivational state characterized by energy and involvement (<xref ref-type="bibr" rid="ref6">Bakker et al., 2011</xref>) &#x2013; as a resource can help employees cope with multitasking.</p>
<p>Our study contributes to the literature on multitasking, stress, and flow in at least three notable ways. First, we put forward flow as a key mediator that can explain the relationship between multitasking and job performance. The multitasking reality of modern organizations suggests that interruptions to workflow are an accepted part of organizational life (<xref ref-type="bibr" rid="ref39">Jett and George, 2003</xref>). Yet, surprisingly, the concept of flow has received hardly any attention in research on multitasking and work interruptions (see the review by <xref ref-type="bibr" rid="ref55">Puranik et al., 2020</xref>). Our study is among the first to examine the day-to-day relationship between multitasking and flow [for related work, see <xref ref-type="bibr" rid="ref53">Peifer and Zipp&#x2019;s (2019)</xref> study on multitasking behaviors, and <xref ref-type="bibr" rid="ref2">Aitken et al.&#x2019;s (2023)</xref> on intrusions while teleworking]. Second, we propose that appraisal is key to understanding the psychological processes that may explain how multitasking influences employees&#x2019; well-being and job performance. We link daily fluctuations in multitasking behaviors to meaningful variations in task appraisals in order to illuminate the stressor&#x2013;well-being relationship (see also <xref ref-type="bibr" rid="ref64">Smith et al., 2022</xref>). Our third contribution relates to the examination of work engagement as a day-level variable that explains why individuals may experience multitasking differently across days. No prior studies have yet investigated whether and how work engagement can assist employees in handling daily job demands, even though it is a source of energy and concerns the investment of personal resources (<xref ref-type="bibr" rid="ref14">Christian et al., 2011</xref>). While work engagement is typically studied as an outcome in and of itself (<xref ref-type="bibr" rid="ref55">Puranik et al., 2020</xref>) or as a mediator in the association between job characteristics and performance (<xref ref-type="bibr" rid="ref8">Bakker et al., 2023</xref>), we examine work engagement as a day-specific resource that can buffer the detrimental effects of multitasking behaviors on flow and job performance.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Theoretical framework</title>
<p>We draw on the two-dimensional typology of multitasking behaviors to conceptualize multitasking along the lines of <italic>share of resources</italic> allocated to the execution of work activities and <italic>share of time</italic> in which work activities are observed (<xref ref-type="bibr" rid="ref15">Circella et al., 2012</xref>). With regard to the time dimension, our focus is on multitasking within the time frame of a single working day; that is, all tasks performed during the day will be considered to have happened sequentially or simultaneously (see <xref ref-type="bibr" rid="ref41">Kirchberg et al., 2015</xref>). Monotasking refers to the situation in which a single activity occupies a person&#x2019;s full resources for a particular period of time. Within the time frame of a full working day, monotasking is very uncommon nowadays, since many &#x2013; if not most &#x2013; employees are forced to shift attention between a high number of tasks on a daily basis. When employees execute multiple tasks, their behavior can be classified as switching, interleaving, or overlaying, depending on a person&#x2019;s allocation of (e.g., mental) resources among the tasks of a particular workday (<xref ref-type="bibr" rid="ref15">Circella et al., 2012</xref>). Switching is alternating between activities in such a way that one fully interrupts one task with another. Interleaving involves partial alternation to a second task, while another activity remains in the background. Hence, in the case of interleaving, the main activity claims most but not all resources, for instance due to attention residue (<xref ref-type="bibr" rid="ref44">Leroy, 2009</xref>). Overlaying refers to the simultaneous execution of tasks: both activities are carried out at the same time with a parallel allocation of resources. Whether it happens sequentially or simultaneously, multitasking can lead to fragmentation of the work day (<xref ref-type="bibr" rid="ref3">Appelbaum et al., 2008</xref>), and the question central to our study is &#x201C;at what cost?&#x201D;</p>
<p>In this diary study, we integrate key theoretical models of stress with the literature on multitasking and flow in order to elucidate the process by which day-level multitasking impedes job performance. Carrying out a task can be seen as goal-directed behavior, and doing more than one thing at a time (be it sequentially or simultaneously) is associated with regulation hindrances that act as stressors (<xref ref-type="bibr" rid="ref28">Frese and Zapf, 1994</xref>). In the transactional model of stress and coping (TSC), <xref ref-type="bibr" rid="ref42">Lazarus and Folkman (1984)</xref> viewed stress as an individual outcome generated through the person&#x2019;s appraisal of stressors in the environment. When we encounter a stressor, we first assess how stressful it is through primary appraisal. We simultaneously engage in secondary appraisal, evaluating whether we have the necessary resources to cope with the stressful situation. Building on the TSC, the challenge-hindrance stressor framework (CHSF; <xref ref-type="bibr" rid="ref43">LePine et al., 2005</xref>) postulates that stressors are conceptually distinct from each other, such that some stressors tend to be appraised as challenges (i.e., potential for achievement and personal growth), while other stressors tend to be appraised as hindrances (i.e., may thwart personal development). Interestingly, <xref ref-type="bibr" rid="ref53">Peifer and Zipp (2019)</xref> relied on a model that integrates flow into the transactional model of stress, which they refer to as the transactional model of stress and flow (TMSF). This adapted model explains the connection between stressors and flow. When individuals perceive stressors as challenges (primary appraisal) and possess adequate coping resources (secondary appraisal), they are more likely to experience flow as an alternative state to stress.</p>
<p>The concept of flow finds it origins in the work of Mihaly Csikszentmihalyi. He studied the subjective experiences of creative painters, chess players, rock climbers, and many others, and he was intrigued when these people became fully absorbed in their activity and found that activity intrinsically motivating. People &#x201C;in flow&#x201D; are in a state of consciousness where they become totally immersed in an activity and operate at full capacity (<xref ref-type="bibr" rid="ref51">Nakamura and Csikszentmihalyi, 2002</xref>). People can find flow in almost any activity, but research shows it is mainly experienced in the work environment (<xref ref-type="bibr" rid="ref18">Csikszentmihalyi and LeFevre, 1989</xref>), where flow refers to peak experiences of fluent, uninterrupted work (<xref ref-type="bibr" rid="ref30">Gerpott et al., 2022</xref>).</p>
<p>We draw on <xref ref-type="bibr" rid="ref42">Lazarus and Folkman&#x2019;s (1984)</xref> TSC and its extensions (CHSF and TMSF) to propose that day-level multitasking is a hindrance stressor that negatively impacts the primary appraisal of one&#x2019;s daily tasks, ultimately influencing flow experiences and daily performance. We also propose that multitasking interferes with the experience of flow less strongly when employees feel engaged at work. Work engagement is a motivational construct that refers to the investment of personal resources toward the tasks associated with one&#x2019;s work role (<xref ref-type="bibr" rid="ref14">Christian et al., 2011</xref>). In contrast to flow, which is more closely related to a specific activity as it is an optimal experience of fluent work (i.e., experiential well-being; <xref ref-type="bibr" rid="ref37">Ilies et al., 2017</xref>), work engagement represents a psychological connection with one&#x2019;s work in general (<xref ref-type="bibr" rid="ref14">Christian et al., 2011</xref>; <xref ref-type="bibr" rid="ref30">Gerpott et al., 2022</xref>) (see also <xref ref-type="bibr" rid="ref70">Yan and Donaldson, 2023</xref>, on the differences between flow and engagement). While engagement is a relatively enduring state of mind, it also ebbs and flows, showing day-to-day fluctuations around an employee&#x2019;s average level (<xref ref-type="bibr" rid="ref65">Sonnentag et al., 2010</xref>). Applying the TMSF, we argue that state work engagement will allow for a more positive secondary appraisal in stressful situations of high multitasking such that on days when employees are engaged, they come to experience flow as an alternative experience to stress. The overall conceptual model guiding this research is depicted in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Conceptual model.</p>
</caption>
<graphic xlink:href="fpsyg-15-1384453-g001.tif"/>
</fig>
<sec id="sec3">
<label>2.1</label>
<title>Hypotheses</title>
<p>Multitasking may be an impediment to flow. Task-related preconditions for the experience of flow are a balance between challenges and skills, clear and specific goals, and immediate feedback on one&#x2019;s performance (see <xref ref-type="bibr" rid="ref29">Fullagar and Kelloway, 2013</xref>). Under these conditions, experience naturally unfolds from moment to moment and one enters a flow state (<xref ref-type="bibr" rid="ref51">Nakamura and Csikszentmihalyi, 2002</xref>). However, the cognitive costs of executing multiple tasks in parallel and alternating between tasks may add considerably to the demands and challenges of a particular workday. Challenge stressors may turn into hindrance stressors when interruptions accumulate (<xref ref-type="bibr" rid="ref5">Baethge et al., 2015</xref>). Moreover, alternations imply that employees are shifting goals, and any feedback from the work itself is suspended until the moment of resumption and completion of the main task (<xref ref-type="bibr" rid="ref50">Monk et al., 2008</xref>). Thus, multitasking interferes with the preconditions of flow.</p>
<p>In addition, the very nature of multitasking is contradictory to how the flow experience is characterized. Flow is a subjective state with the following characteristics: (a) intense and focused concentration, (b) loss of self-consciousness, (c) a sense of control, (d) distortion of time, and (e) intrinsic rewards (<xref ref-type="bibr" rid="ref51">Nakamura and Csikszentmihalyi, 2002</xref>; <xref ref-type="bibr" rid="ref29">Fullagar and Kelloway, 2013</xref>). When work is fragmented due to multitasking, it becomes difficult to get fully absorbed in one&#x2019;s work. After all, deep involvement in the task at hand is interrupted and disrupted. Multitasking may also limit one&#x2019;s sense of control over the processes and outcomes of the task because many alternations are uncontrollable and require the expenditure of self-regulatory resources (<xref ref-type="bibr" rid="ref27">Freeman and Muraven, 2010</xref>). Ready-to-resume interventions may work (<xref ref-type="bibr" rid="ref46">Leroy and Glomb, 2018</xref>), however, as <xref ref-type="bibr" rid="ref29">Fullagar and Kelloway (2013)</xref> noted, &#x201C;as soon as attention shifts to try to maintain control, flow dissipates&#x201D; (p. 44). Furthermore, when people multitask, it is very unlikely that the notion of time disappears and that employees will feel time is flying by. Instead, multitaskers are very much aware of the notion of time, as indicated by their higher sense of time pressure (<xref ref-type="bibr" rid="ref4">Baethge and Rigotti, 2013</xref>; <xref ref-type="bibr" rid="ref46">Leroy and Glomb, 2018</xref>).</p>
<p>To experience the peak state of flow at work, an initial investment of self-regulatory resources is required (<xref ref-type="bibr" rid="ref17">Csikszentmihalyi, 2000</xref>). Interestingly, research shows that people sometimes voluntarily switch between tasks when they are unable to achieve the state of flow in an ongoing task (e.g., when they are stuck; <xref ref-type="bibr" rid="ref1">Adler and Benbunan-Fich, 2013</xref>). Although we acknowledge that a switch can enhance flow, based on the aforementioned, we posit that cumulative switches during the day will make it difficult to enter or stay in a flow state. Thus, we hypothesize that on days when employees experience higher levels of multitasking, they will report reduced flow compared with days when they multitask to a lesser extent (see also <xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>).</p>
<disp-quote>
<p><italic>Hypothesis 1</italic>: Within individuals (across days), multitasking is negatively related to flow experienced at work.</p>
</disp-quote>
<p>We also propose a mediating mechanism for the within-individual relationship between multitasking behaviors and flow, namely appraisal of the daily tasks as challenging or hindering. No single day is the same; that is, employees work on a different set of tasks every day. Importantly, how employees appraise these tasks may vary across days. Although tasks are stressors, &#x201C;many everyday stressors are not clearly positive nor negative and so are most likely to be open to personal appraisal&#x201D; (<xref ref-type="bibr" rid="ref35">Hobfoll, 1989</xref>, p. 519). In line with this notion, scholars have distinguished between challenge and hindrance stressors (<xref ref-type="bibr" rid="ref43">LePine et al., 2005</xref>).</p>
<p>We believe that primary appraisal of the daily tasks may explain why multitasking behavior has negative implications for flow. Doing more than one thing at a time is not harmful <italic>per se</italic>, but employees may find it difficult to interpret their tasks, on average, as opportunities to grow either personally or professionally when they have to perform multiple tasks in parallel (i.e., overlaying) or alternate between tasks (i.e., switching and interleaving). Any single task that would under normal circumstances be considered a challenge stressor may become a hindrance stressor when an employee has limited opportunity to work on it with undivided attention. Thus, we expect that the higher the level of multitasking on a particular day, the less likely it is that an individual will appraise the sum of daily tasks as a positive challenge and the more likely it is that the daily tasks are jointly appraised as a hindrance.</p>
<p>These appraisals, in turn, should be related to flow. The TMSF posits that flow is experienced during a task that is appraised as challenging (<xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>). Previous between-individual research has found that challenge demands are positively related to flow, while hindrance demands are negatively related to flow (<xref ref-type="bibr" rid="ref67">Van Oortmerssen et al., 2020</xref>). If employees see the potential for personal growth and gain in executing their tasks, they may come to experience &#x201C;eustress&#x201D; (<xref ref-type="bibr" rid="ref61">Selye, 1983</xref>), an experience of being totally focused in a mindful state of challenge and a healthy state of aroused attention on the task (<xref ref-type="bibr" rid="ref33">Hargrove et al., 2013</xref>). A difficult-yet-manageable set of tasks will help employees savor their work, find the work experience of that day rewarding, and stay immersed in the tasks at hand. In contrast, looking upon one&#x2019;s work as stressful may seriously undermine a flow state. Thus, we hypothesize that task appraisal mediates the relationship between multitasking and flow in such a way that multitasking is negatively associated with challenge appraisal, which in turn is positively associated with flow (H2a), while multitasking is positively associated with hindrance appraisal, which in turn is negatively associated with flow (H2b).</p>
<disp-quote>
<p><italic>Hypothesis 2a</italic>: Challenge appraisals of the daily tasks will mediate the within-individual effect of multitasking on flow.</p>
</disp-quote>
<disp-quote>
<p><italic>Hypothesis 2b</italic>: Hindrance appraisals of the daily tasks will mediate the within-individual effect of multitasking on flow.</p>
</disp-quote>
<p>Much research has been devoted to understanding when and for whom multitasking inhibits well-being and performance (<xref ref-type="bibr" rid="ref55">Puranik et al., 2020</xref>). Day-specific moderators, however, seem a neglected focus. We argue that people&#x2019;s ability to deal with multitasking can be higher on some days than on other days, dependent on one&#x2019;s daily level of work engagement. On days when employees are engaged, they feel energetic and are in a positive, fulfilling work-related state of mind (<xref ref-type="bibr" rid="ref58">Schaufeli et al., 2002</xref>). When they are in this state, they are better able to channel physical, emotional, and cognitive energies into their work tasks such that they are not easily fatigued and can show persistence in the face of difficulties (<xref ref-type="bibr" rid="ref14">Christian et al., 2011</xref>). A workday full of multitasking is cognitively and emotionally demanding and likely to deplete self-regulatory resources, with little opportunity for recovery and replenishment (<xref ref-type="bibr" rid="ref44">Leroy, 2009</xref>; <xref ref-type="bibr" rid="ref27">Freeman and Muraven, 2010</xref>; <xref ref-type="bibr" rid="ref4">Baethge and Rigotti, 2013</xref>; <xref ref-type="bibr" rid="ref5">Baethge et al., 2015</xref>). The state of work engagement offers substitute personal resources that should make it easier to deal with the stressful nature of multitasking. Applying insights from the TMSF (<xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>) to our model, we posit that work engagement offers the coping resources necessary to experience flow as an alternative experience to stress. Thus, we expect that on days when employees feel energetic and dedicated at work, they are rather well-equipped to retain a high level of concentration and absorption in the face of multitasking.</p>
<disp-quote>
<p><italic>Hypothesis 3</italic>: Work engagement moderates the within-individual effect of multitasking on flow such that on days when employees are highly engaged, the negative effect of multitasking on flow is weaker compared with days when employees are less engaged.</p>
</disp-quote>
<p>When employees become totally immersed in their work and enjoy it intensely, they are more likely to excel at what they do. During flow, performance is automatic, and one has a sense of confidence and ease (<xref ref-type="bibr" rid="ref34">Harris et al., 2017</xref>). Flow is a peak experience that often coincides with optimal performance (<xref ref-type="bibr" rid="ref16">Csikszentmihalyi, 1997</xref>). <xref ref-type="bibr" rid="ref9">Bakker and Van Woerkom (2017)</xref> argued that flow is a desirable state not only for task performance but also for creativity, productivity, and service quality. In a cross-sectional field study, <xref ref-type="bibr" rid="ref24">Demerouti (2006)</xref> showed that work-related flow was beneficial for both in-role and extra-role performance, as rated by colleagues, but only for conscientious employees, who apparently are better at directing their attention toward achieving crucial tasks that are in line with the goals of the organization. The flow&#x2013;performance relationship has been established also at the within-individual level, with a number of daily diary studies linking the flow state to both in-role and extra-role performance (<xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>; <xref ref-type="bibr" rid="ref8001">Soriano et al., 2021</xref>; <xref ref-type="bibr" rid="ref8002">Weintraub et al., 2021</xref>; <xref ref-type="bibr" rid="ref30">Gerpott et al., 2022</xref>; <xref ref-type="bibr" rid="ref2">Aitken et al., 2023</xref>). These findings have been further corroborated in a recent meta-analysis by <xref ref-type="bibr" rid="ref48">Liu et al. (2023)</xref>, who demonstrated that flow is positively related to job performance.</p>
<p>Based on the logic above, we hypothesize that on days when employees experience high levels of flow, they will feel they are performing better compared with days when they are not in a state of flow. As indicated in previously formulated hypotheses, we expect that multitasking will negatively influence flow through the mediating mechanism of task appraisal. Therefore, we also hypothesize a serial mediation such that multitasking has an indirect effect on job performance via challenge and hindrance appraisals of the daily set of tasks and subsequently flow.</p>
<disp-quote>
<p><italic>Hypothesis 4</italic>: Within individuals (across days), flow is positively related to job performance.</p>
</disp-quote>
<disp-quote>
<p><italic>Hypothesis 5</italic>: Challenge and hindrance appraisals of the daily tasks and flow will serially mediate the within-individual relationship between multitasking and job performance.</p>
</disp-quote>
</sec>
</sec>
<sec sec-type="materials|methods" id="sec4">
<label>3</label>
<title>Materials and methods</title>
<sec id="sec5">
<label>3.1</label>
<title>Sample and procedure</title>
<p>To empirically test the proposed model, we designed a diary study of work activities aimed to capture fragmentation of work time due to multitasking as it appears in everyday organizational life. The data for this study were collected at a multinational company that is world leading in the food industry. We collected data among employees of a business unit situated in the Netherlands. To get a representative view of employees&#x2019; multitasking, flow experience, work engagement, appraisal of daily tasks, and performance, daily measurements were repeated for a total of 10 days spread evenly across 4 weeks of data collection. Daily surveys were sent out to 65 employees who agreed to participate in this study. A response rate of 75.4% resulted in 49 employees completing the daily surveys, capturing a total of 189 daily records. Participants were instructed to complete the survey toward the end of their workday. Records that were not completed at the designated time were removed for further analyses. Moreover, as we aimed to study daily fluctuations in multitasking and other constructs, we also had to remove respondents with only a single daily record. Our final sample consisted of 158 daily records from 33 employees.</p>
<p>Only 27 of the 33 employees completed a one-time questionnaire at the end of the study, which contained questions on demographic variables. We have missing data for three of these participants, thus resulting in descriptive information for 24 respondents, which consisted of 11 women (45.8%) and 13 men (54.2%), with a mean age of 35.58&#x2009;years (<italic>SD</italic>&#x2009;=&#x2009;7.73). Analysis of this descriptive information revealed that, on average, participants had worked 4.96&#x2009;years within this organization (<italic>SD</italic>&#x2009;=&#x2009;2.16). Our respondents can be characterized as highly educated, as all had finished higher education, with 91.7% having a master&#x2019;s degree. The majority of respondents (91.7%) had a fixed contract. The sample included respondents from a variety of different countries, with the majority being French (58.3%) and 16.7% being Dutch. Other nationalities were Afghan, British, Finnish, Greek, Mexican, Polish, and Russian.</p>
</sec>
<sec id="sec6">
<label>3.2</label>
<title>Measures</title>
<sec id="sec7">
<label>3.2.1</label>
<title>Multitasking</title>
<p>Respondents were asked to provide a list of all their work activities that day and to indicate for each of the activities how much time they spent working on it. In line with the two-dimensional conceptualization of multitasking (<xref ref-type="bibr" rid="ref15">Circella et al., 2012</xref>), this strategy enabled us to operationalize day-level multitasking as the share of resources (here: time) allocated to work activities within the time frame of a single working day. Focusing on the workday as the unit of time is too coarse to assess the types of multitasking behavior (i.e., switching, interleaving, or overlaying), but our goal here is to get an indication of how fragmented the workday has become due to the execution of multiple and different activities, irrespective of whether tasks are executed in parallel or whether a task is fully or only partly left behind when alternating. We therefore used a diversity measure that captures fragmentation of time across multiple tasks, which was computed using <xref ref-type="bibr" rid="ref63">Simpson&#x2019;s (1949)</xref> diversity formula:<disp-formula id="E1">
<mml:math id="M1">
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo stretchy="true">&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>R</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula></p>
<p>Here, <italic>i</italic> represents a particular task, <italic>R</italic> is the total number of tasks, <italic>n</italic><sub>i</sub> is the proportion of time spent on the <italic>i</italic>th task, and <italic>N</italic> is the total amount of time spent across all tasks. In this sample, 15 was the highest number of tasks on a day, and an average working day consisted of 6.4 tasks. The value of <italic>D</italic> ranges between 0 (all working time is devoted to a single task &#x2013; that is, monotasking) and 1 (multitasking in a highly fragmented manner). Simpson&#x2019;s index captures the level of multitasking for an individual respondent on a given day.</p>
</sec>
<sec id="sec8">
<label>3.2.2</label>
<title>Flow</title>
<p>To measure employees&#x2019; daily flow experiences, we used the Flow State Scale (FSS) developed by <xref ref-type="bibr" rid="ref38">Jackson and Marsh (1996)</xref>. This scale consists of a total of 36 items on nine dimensions of the flow state. When conducting diary studies, <xref ref-type="bibr" rid="ref52">Ohly et al. (2010)</xref> recommend using short scales or even single-item measures. We therefore focused on the subscales &#x2018;concentration&#x2019; and &#x2018;autotelic experience&#x2019; and selected three items based on factor loadings and face validity. Example items are &#x201C;I had total concentration today&#x201D; and &#x201C;I really enjoyed today&#x2019;s work experience.&#x201D; We asked respondents to indicate their agreement on a five-point Likert scale ranging from 1&#x2009;=&#x2009;<italic>strongly disagree</italic> to 5&#x2009;=&#x2009;<italic>strongly agree</italic>. Across days, the average internal consistency was 0.79.</p>
</sec>
<sec id="sec9">
<label>3.2.3</label>
<title>Job performance</title>
<p>We evaluated employees&#x2019; daily performance at work using a single-item self-report measure. Respondents were asked to indicate their agreement with the following statement: &#x201C;Today, I was able to carry out the core parts of my job.&#x201D; Answers were recorded on a five-point Likert scale ranging from 1&#x2009;=&#x2009;<italic>strongly disagree</italic> to 5&#x2009;=&#x2009;<italic>strongly agree</italic>.</p>
</sec>
<sec id="sec10">
<label>3.2.4</label>
<title>Work engagement</title>
<p>To assess employees&#x2019; daily engagement, we relied on <xref ref-type="bibr" rid="ref12">Breevaart et al.&#x2019;s (2012)</xref> validated scale for measuring <italic>state</italic> work engagement and selected only those items that are part of the ultra-short version of the Utrecht Work Engagement Scale (UWES-3; <xref ref-type="bibr" rid="ref59">Schaufeli et al., 2019</xref>). The UWES consists of vigor, dedication, and absorption as dimensions of engagement. We used one item for each dimension, namely &#x201C;Today, I felt bursting with energy&#x201D; (vigor), &#x201C;Today, I was enthusiastic about my job&#x201D; (dedication), and &#x201C;Today, I was immersed in my work&#x201D; (absorption). We asked respondents to indicate their agreement with these statements on a five-point Likert scale ranging from 1&#x2009;=&#x2009;<italic>strongly disagree</italic> to 5&#x2009;=&#x2009;<italic>strongly agree</italic>. Given the conceptual overlap between absorption and flow (<xref ref-type="bibr" rid="ref58">Schaufeli et al., 2002</xref>), particularly on a daily level, we decided to drop the third item for the specific purposes of our study. The two-item measure of daily engagement had an average Cronbach&#x2019;s alpha of 0.54 across days.</p>
</sec>
<sec id="sec11">
<label>3.2.5</label>
<title>Appraisal of daily tasks</title>
<p>As mentioned earlier, we asked respondents to provide a list of all their work activities on a particular day. Respondents were also asked how they appraised each of their work activities. We built on prior work on stress appraisal by <xref ref-type="bibr" rid="ref60">Searle and Auton (2015)</xref>, who proposed that appraisal scales can be framed in different ways, amongst others in relation to a task the respondent is currently performing. We then used the response scale of the Valencia Eustress-Distress Appraisal Scale (VEDAS) developed by <xref ref-type="bibr" rid="ref56">Rodr&#x00ED;guez et al. (2013)</xref> to measure task appraisals. Specifically, each task had two corresponding six-point Likert scales that enabled respondents to indicate their positive and negative appraisals of their daily tasks. The response scale for challenge appraisal referred to a task as 1&#x2009;=&#x2009;<italic>very definitely is NOT a source of opportunity/challenge</italic> or 6&#x2009;=&#x2009;<italic>very definitely IS a source of opportunity/challenge</italic>, while the response scale for hindrance appraisal referred to a task as 1&#x2009;=&#x2009;<italic>very definitely is NOT a source of pressure</italic> or 6&#x2009;=&#x2009;<italic>very definitely IS a source of pressure</italic>. To obtain scores on the degree of challenge and hindrance employees perceived in the total of tasks performed during the workday, we aggregated the task-level challenge and hindrance appraisals of a particular day.</p>
</sec>
</sec>
<sec id="sec12">
<label>3.3</label>
<title>Analyses</title>
<p>The use of repeated measurements resulted in a nested data structure, where days (Level 1; <italic>n</italic>&#x2009;=&#x2009;158) are nested within individuals (Level 2; <italic>n</italic>&#x2009;=&#x2009;33). For each variable, we estimated a two-level null model (i.e., no predictors) that partitions the total variance into between-individual and within-individual variance components. <xref ref-type="table" rid="tab1">Table 1</xref> shows that the percentages of variance due to within-individual variation in construct scores varied between 53.0% (hindrance appraisal) and 94.6% (multitasking). Thus, our constructs show high day-to-day fluctuations, and within-individual analyses are thus appropriate. We therefore use hierarchical linear modeling (HLM; <xref ref-type="bibr" rid="ref13">Bryk and Raudenbush, 1992</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Variance components of null models for level-1 variables.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Dependent variable</th>
<th align="center" valign="top">Within-individual variance (<italic>&#x03C3;</italic><sup>2</sup>)</th>
<th align="center" valign="top">Between-individual variance (<italic>&#x03C4;</italic><sup>2</sup>)</th>
<th align="center" valign="top">Percent variability within individuals</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Multitasking</td>
<td align="center" valign="middle">0.021</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">94.6</td>
</tr>
<tr>
<td align="left" valign="top">Flow</td>
<td align="center" valign="middle">0.486</td>
<td align="center" valign="middle">0.159</td>
<td align="center" valign="middle">75.3</td>
</tr>
<tr>
<td align="left" valign="top">Work engagement</td>
<td align="center" valign="middle">0.596</td>
<td align="center" valign="middle">0.246</td>
<td align="center" valign="middle">70.8</td>
</tr>
<tr>
<td align="left" valign="top">Challenge appraisal</td>
<td align="center" valign="middle">0.352</td>
<td align="center" valign="middle">0.152</td>
<td align="center" valign="middle">69.8</td>
</tr>
<tr>
<td align="left" valign="top">Hindrance appraisal</td>
<td align="center" valign="middle">0.310</td>
<td align="center" valign="middle">0.275</td>
<td align="center" valign="middle">53.0</td>
</tr>
<tr>
<td align="left" valign="top">Job performance</td>
<td align="center" valign="middle">0.965</td>
<td align="center" valign="middle">0.242</td>
<td align="center" valign="middle">80.0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Percent variability within individuals was computed as <italic>&#x03C3;</italic><sup>2</sup>/(<italic>&#x03C3;</italic><sup>2</sup>&#x2009;+&#x2009;<italic>&#x03C4;</italic><sup>2</sup>) &#x002A; 100. All within-individual variances were significantly different from zero (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001).</p>
</table-wrap-foot>
</table-wrap>
<p>To avoid an overly piecemeal analysis of our model, we used the multilevel modeling approach outlined by <xref ref-type="bibr" rid="ref10">Bauer et al. (2006)</xref> to test our mediation hypotheses. This methodology estimates simultaneously the distinct paths in a mediation model. In all HLM analyses, we specified random intercepts &#x2013; random slopes for the models at level 2 to account for differences in slopes across individuals. We centered each level-1 predictor variable relative to the individuals&#x2019; means across days on that variable. As such, the scores represent deviations from the respondent&#x2019;s respective mean, and &#x201C;the subject serves as his or her own control&#x201D; (<xref ref-type="bibr" rid="ref23">DeLongis et al., 1988</xref>, p. 487).</p>
</sec>
</sec>
<sec sec-type="results" id="sec13">
<label>4</label>
<title>Results</title>
<p><xref ref-type="table" rid="tab2">Table 2</xref> presents the descriptive statistics for all study variables as well as the between- and within-individual correlations.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Correlation matrix.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">
<italic>M</italic>
</th>
<th align="center" valign="top">
<italic>SD</italic>
</th>
<th align="center" valign="top">1</th>
<th align="center" valign="top">2</th>
<th align="center" valign="top">3</th>
<th align="center" valign="top">4</th>
<th align="center" valign="top">5</th>
<th align="center" valign="top">6</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">1. Multitasking</td>
<td align="center" valign="middle">0.74</td>
<td align="center" valign="middle">0.08</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2212;0.24&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">&#x2212;0.08</td>
<td align="center" valign="middle">&#x2212;0.37&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">&#x2212;0.09</td>
<td align="center" valign="middle">&#x2212;0.07</td>
</tr>
<tr>
<td align="left" valign="middle">2. Flow</td>
<td align="center" valign="middle">3.33</td>
<td align="center" valign="middle">0.52</td>
<td align="center" valign="middle">0.004</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">0.59&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.33&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.48&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">3. Work engagement</td>
<td align="center" valign="middle">3.24</td>
<td align="center" valign="middle">0.68</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.71&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.23&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">4. Challenge appraisal</td>
<td align="center" valign="middle">3.75</td>
<td align="center" valign="middle">0.51</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.28</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">0.23<sup>&#x2020;</sup></td>
<td align="center" valign="middle">0.17<sup>&#x2020;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">5. Hindrance appraisal</td>
<td align="center" valign="middle">3.66</td>
<td align="center" valign="middle">0.62</td>
<td align="center" valign="middle">0.26</td>
<td align="center" valign="middle">&#x2212;0.42</td>
<td align="center" valign="middle">&#x2212;0.52&#x002A;&#x002A;</td>
<td align="center" valign="middle">&#x2212;0.05</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">0.06</td>
</tr>
<tr>
<td align="left" valign="middle">6. Job performance</td>
<td align="center" valign="middle">3.47</td>
<td align="center" valign="middle">0.73</td>
<td align="center" valign="middle">&#x2212;0.02</td>
<td align="center" valign="middle">0.49&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.26</td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">&#x2013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Means (M) and standard deviations (SD) are between-individual descriptive statistics. The correlations below the diagonal represent between-individual associations, which are calculated based on individuals&#x2019; aggregated scores (<italic>n</italic>s&#x2009;=&#x2009;32&#x2013;33, pairwise). The correlations above the diagonal represent within-individual associations and are calculated using the group-mean centered scores (<italic>n</italic>s&#x2009;=&#x2009;141 to 156, pairwise). <sup>&#x2020;</sup><italic>p</italic>&#x2009;&#x003C;&#x2009;0.10, &#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, &#x002A;&#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>To test Hypothesis 1, we regressed flow on multitasking. We found that on days characterized by high levels of multitasking, employees experienced less flow compared with days on which they had to multitask to a lesser extent (<italic>B</italic>&#x2009;=&#x2009;&#x2212;1.09, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001, <italic>&#x03B2;</italic>&#x2009;=&#x2009;&#x2212;0.23). We then used the multilevel procedures of <xref ref-type="bibr" rid="ref10">Bauer et al. (2006)</xref> to holistically test a 1&#x2013;1&#x2013;1 mediation model in which multitasking influences flow via appraisal of daily tasks. We observed that multitasking was negatively associated with appraisal of the sum of daily tasks as challenging (<italic>B</italic>&#x2009;=&#x2009;&#x2212;1.40, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001, <italic>&#x03B2;</italic>&#x2009;=&#x2009;&#x2212;0.34), and challenge appraisals were positively associated with flow (<italic>B</italic>&#x2009;=&#x2009;0.28, <italic>p</italic>&#x2009;=&#x2009;0.017, <italic>&#x03B2;</italic>&#x2009;=&#x2009;0.24). Thus, both paths of the mediation were significantly different from zero (see also Model 1 in <xref ref-type="table" rid="tab3">Table 3</xref>). Yet, to test our mediation hypothesis directly, we used a package called &#x2018;RMediation&#x2019; (<xref ref-type="bibr" rid="ref66">Tofighi and MacKinnon, 2011</xref>), which provides an estimate of the indirect effect and a confidence interval around this effect on the basis of the distribution-of-the-product method. RMediation estimated the indirect effect at &#x2212;0.396 with a 95% CI [&#x2212;0.821, &#x2212;0.075], which supports Hypothesis 2a; on days when employees multitasked, they were less likely to appraise their daily tasks as challenging, which interfered with their flow experience. To test Hypothesis 2b, we specified an alternative model with hindrance appraisal as the mediator (Model 2 in <xref ref-type="table" rid="tab3">Table 3</xref>). Within individuals, multitasking was unrelated to appraisal of the sum of daily tasks as hindering (<italic>B</italic>&#x2009;=&#x2009;&#x2212;0.66, <italic>p</italic>&#x2009;=&#x2009;0.182, <italic>&#x03B2;</italic>&#x2009;=&#x2009;&#x2212;0.17), and hindrance appraisals were not linked to flow (<italic>B</italic>&#x2009;=&#x2009;0.11, <italic>p</italic>&#x2009;=&#x2009;0.353, <italic>&#x03B2;</italic>&#x2009;=&#x2009;0.09). We can conclude that the association between multitasking and flow was not mediated by appraisal of daily tasks as hindering, and we, therefore, reject Hypothesis 2b.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>HLM results for testing mediation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="4">Mediation model 1</th>
<th align="center" valign="top" colspan="4">Mediation model 2</th>
<th align="center" valign="top" colspan="4">Mediation model 3</th>
</tr>
<tr>
<th/>
<th align="center" valign="top" colspan="4">Y: Flow</th>
<th align="center" valign="top" colspan="4">Y: Flow</th>
<th align="center" valign="top" colspan="4">Y: Job performance</th>
</tr>
<tr>
<th/>
<th align="center" valign="top" colspan="2">X &#x2013; M1</th>
<th align="center" valign="top" colspan="2">M1 &#x2013; Y</th>
<th align="center" valign="top" colspan="2">X &#x2013; M2</th>
<th align="center" valign="top" colspan="2">M2 &#x2013; Y</th>
<th align="center" valign="top" colspan="2">X &#x2013; M3</th>
<th align="center" valign="top" colspan="2">M3 &#x2013; Y</th>
</tr>
<tr>
<th align="left" valign="middle">Level-1 predictors</th>
<th align="center" valign="top">
<italic>B</italic>
</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">
<italic>B</italic>
</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">
<italic>B</italic>
</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">
<italic>B</italic>
</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">
<italic>B</italic>
</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">
<italic>B</italic>
</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Intercept</td>
<td align="center" valign="top">3.79&#x002A;&#x002A;</td>
<td align="center" valign="top">0.08</td>
<td align="center" valign="top">3.35&#x002A;&#x002A;</td>
<td align="center" valign="top">0.09</td>
<td align="center" valign="top">3.64&#x002A;&#x002A;</td>
<td align="center" valign="top">0.10</td>
<td align="center" valign="top">3.37&#x002A;&#x002A;</td>
<td align="center" valign="top">0.09</td>
<td align="center" valign="top">3.36&#x002A;&#x002A;</td>
<td align="center" valign="top">0.09</td>
<td align="center" valign="top">3.45&#x002A;&#x002A;</td>
<td align="center" valign="top">0.12</td>
</tr>
<tr>
<td align="left" valign="middle">Multitasking (X)</td>
<td align="center" valign="top">&#x2212;1.40&#x002A;&#x002A;</td>
<td align="center" valign="top">0.37</td>
<td/>
<td/>
<td align="center" valign="top">&#x2212;0.66</td>
<td align="center" valign="top">0.49</td>
<td/>
<td/>
<td align="center" valign="top">&#x2212;1.19&#x002A;&#x002A;</td>
<td align="center" valign="top">0.33</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Challenge appraisal (M1)</td>
<td/>
<td/>
<td align="center" valign="top">0.28&#x002A;</td>
<td align="center" valign="top">0.11</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Hindrance appraisal (M2)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.11</td>
<td align="center" valign="top">0.12</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Flow (M3)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.69&#x002A;&#x002A;</td>
<td align="center" valign="top">0.11</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>B, unstandardized HLM coefficient; SE, standard error. The X &#x2013; M and M &#x2013; Y models were estimated simultaneously with <xref ref-type="bibr" rid="ref10">Bauer et al.&#x2019;s (2006)</xref> procedures in HLM 7. &#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, &#x002A;&#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.01.</p>
</table-wrap-foot>
</table-wrap>
<p>The next step involved testing a model that incorporates daily work engagement as a moderator of the multitasking&#x2013;flow relationship. In this moderation model, both multitasking (<italic>B</italic>&#x2009;=&#x2009;&#x2212;0.84, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001, <italic>&#x03B2;</italic>&#x2009;=&#x2009;&#x2212;0.17) and engagement (<italic>B</italic>&#x2009;=&#x2009;0.53, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001, <italic>&#x03B2;</italic>&#x2009;=&#x2009;0.59) had significant main effects on flow. In addition, the interaction between multitasking and work engagement was significant in predicting flow (<italic>B</italic>&#x2009;=&#x2009;1.25, <italic>p</italic>&#x2009;=&#x2009;0.027). This result lends support to Hypothesis 3. The interactive effect is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, further explored using the simple slopes procedure described by <xref ref-type="bibr" rid="ref54">Preacher et al. (2006)</xref>. Simple slopes were calculated for conditional values of the moderator at &#x00B1;1 <italic>SD</italic>. Tests of simple slopes indicated that the effect of multitasking on flow was significant at lower (&#x2212;1<italic>SD</italic>) levels of work engagement (simple slope&#x2009;=&#x2009;&#x2212;1.69, <italic>p</italic>&#x2009;=&#x2009;0.003) and at average levels of work engagement (simple slope&#x2009;=&#x2009;&#x2212;0.84, <italic>p</italic>&#x2009;=&#x2009;0.017). At higher (+1<italic>SD</italic>) levels of work engagement, multitasking did not significantly reduce flow (simple slope&#x2009;=&#x2009;0.01, <italic>p</italic>&#x2009;=&#x2009;0.985). We also calculated the region of significance of the simple slopes, which defines the specific values of the moderator at which the slope is statistically significant. We found that the simple slope of flow regressed on multitasking was significant for any value of work engagement below 0.11, and centered scores ranged from &#x2212;1.79 to 2.00. In other words, moderate to high levels of daily work engagement buffered the detrimental effect of multitasking on flow.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Interaction of work engagement with multitasking in predicting flow.</p>
</caption>
<graphic xlink:href="fpsyg-15-1384453-g002.tif"/>
</fig>
<p>Finally, we regressed performance on flow. In support of Hypothesis 4, we found that on days when employees experienced more flow, they reported higher performance compared with days on which they experienced less flow (<italic>B</italic>&#x2009;=&#x2009;0.65, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001, <italic>&#x03B2;</italic>&#x2009;=&#x2009;0.46). We again used the procedures of <xref ref-type="bibr" rid="ref10">Bauer et al. (2006)</xref>, this time to test a model in which flow mediates the association between multitasking and daily performance (Model 3 in <xref ref-type="table" rid="tab3">Table 3</xref>). We observed that multitasking was negatively associated with flow (<italic>B</italic>&#x2009;=&#x2009;&#x2212;1.19, <italic>p</italic>&#x2009;=&#x2009;0.001, <italic>&#x03B2;</italic>&#x2009;=&#x2009;&#x2212;0.25) and flow was positively associated with daily performance (<italic>B</italic>&#x2009;=&#x2009;0.69, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001, <italic>&#x03B2;</italic>&#x2009;=&#x2009;0.49). Thus, on days when employees multitasked more, they experienced less flow and in turn reported lower performance, compared with days on which they multitasked less. This indirect effect was estimated at &#x2212;0.82 with a 95% CI [&#x2212;1.38, &#x2212;0.34]. Together with the mediating mechanism of challenge appraisals of daily tasks that we found earlier, this result supports Hypothesis 5.</p>
</sec>
<sec sec-type="discussion" id="sec14">
<label>5</label>
<title>Discussion</title>
<p>Today, many &#x2013; if not most &#x2013; employees are forced to shift attention between a high number of tasks on a daily basis, perhaps even get addicted to multitasking (<xref ref-type="bibr" rid="ref22">Dean and Webb, 2011</xref>), yet at what cost? This paper aimed to investigate the implications of multitasking for individuals and organizations. We have argued that a better understanding of the consequences of multitasking requires (a) an ecologically valid examination of the way in which daily tasks unfold, (b) an integration of scholarly work on multitasking and work-related flow, and (c) identification of mediators and moderators that contextualize employees&#x2019; responses to multitasking. Hence, the present diary study developed and tested a comprehensive model of day-level multitasking that aimed to shed light on <italic>why</italic> and <italic>when</italic> performance of multiple tasks relates to flow and, consequently, to subjective performance at work. Our results provide support for most of the hypotheses advanced herein.</p>
<p>The results of our study have important implications for research on the consequences of multitasking. In a sample of professional workers, we observed that on days when employees&#x2019; working time was highly fragmented across a high number of tasks, they experienced less flow and, in turn, their self-reported performance was lower for that particular day. <xref ref-type="bibr" rid="ref1">Adler and Benbunan-Fich (2013)</xref> posited that people who are in flow are totally focused on a single task and unlikely to multitask. Our results speak to this notion as they indicate that day-level multitasking indeed impairs flow.</p>
<p>We further contribute to <xref ref-type="bibr" rid="ref53">Peifer and Zipp&#x2019;s (2019)</xref> line of research and theoretical model (i.e., transactional model of stress and flow) in three important ways. First, we have put forward (and empirically tested) a mediating mechanism that underlies the relationship between multitasking and flow, focusing on appraisal of daily tasks as challenging or hindering. We found that an explanation for this relationship is that a working day full of multitasking impairs the perception of one&#x2019;s daily tasks as challenges or opportunities. On days when employees&#x2019; time for tasks was highly fragmented, those tasks were appraised as less challenging, which resulted in less flow experiences. This result is in line with previous research on how flow experiences are particularly observed in challenging tasks (see <xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>). For instance, <xref ref-type="bibr" rid="ref17">Csikszentmihalyi (2000)</xref> described how surgeons find flow during difficult surgeries. We add to previous research the insight that multitasking as a stressor makes it more difficult to appraise one&#x2019;s tasks as challenging tasks. In other words, on days characterized by multitasking, employees are less inclined to appraise their daily tasks as challenging.</p>
<p>Importantly, we found no such effect for the hindrance appraisal of daily tasks. While interruptions as such are typically appraised as hindrances (<xref ref-type="bibr" rid="ref64">Smith et al., 2022</xref>), this does not necessarily mean that the interrupted and interrupting tasks are considered hindrances. Our result suggests that the hindrance of performing multiple tasks does not add to the pressure associated with a particular task or turn these tasks into hassles. Rather, multitasking is detrimental only in the sense that it interferes with the potential for achievement and personal growth of certain daily tasks (i.e., challenging tasks are not perceived as such). Hindrance appraisal of daily tasks was not related to flow, which is in line with the meta-analytic result of <xref ref-type="bibr" rid="ref48">Liu et al. (2023)</xref> that hindrance demands were not significantly related to flow or any of its subdimensions. Conceptually, flow is more closely linked to challenges (<xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>), and it indeed seems that only challenge appraisals can link multitasking to flow.</p>
<p>A second way in which we build on <xref ref-type="bibr" rid="ref53">Peifer and Zipp&#x2019;s (2019)</xref> study is that we have illuminated the &#x2018;when&#x2019; of the multitasking&#x2013;flow relationship by empirically testing daily engagement as a buffer for this relationship. It is not impossible to experience flow while multitasking. Our data indicated that employees are not equally engaged at work across days; there are days when employees feel more energetic and dedicated than on other days. Importantly, <xref ref-type="bibr" rid="ref65">Sonnentag et al. (2010)</xref> noted that &#x201C;in many work settings there are specific times and periods when it is necessary that employees are particularly engaged at work&#x201D; (p. 27). Work engagement may buffer flow-inhibitors and may build resources that could activate flow-enablers (<xref ref-type="bibr" rid="ref70">Yan and Donaldson, 2023</xref>). Our results speak to this notion, showing that on days when employees were highly engaged, the detrimental impact of multitasking on flow was weakened. It appears that daily engagement offers employees substitute resources to cope with day-level multitasking and remain in a flow state despite the demands of multitasking. Given that work engagement is a positive and high-activation state (<xref ref-type="bibr" rid="ref6">Bakker et al., 2011</xref>), in a multitasking environment, engaged employees should be more willing to put in the effort (e.g., to navigate attention back to a task) and have abundant energy to do so (e.g., in fact navigating back to a task), much like conscientious individuals are likely to do (<xref ref-type="bibr" rid="ref24">Demerouti, 2006</xref>). Thus, even though engaged employees have to multitask as much as their less engaged counterparts, they have the capacity and willpower to create conditions under which flow can be attained and maintained.</p>
<p>Third, we have addressed <xref ref-type="bibr" rid="ref53">Peifer and Zipp&#x2019;s (2019)</xref> call for studying objective multitasking demands. We consider it a key strength of our study that we relied on a fine-grained measure of multitasking that is based on daily diaries. We have investigated this phenomenon in an organizational setting, focusing on the daily working life of employees and examining how they feel they are performing in light of the multitasking reality of their organization. Thus, from a methodological point of view, we believe our results offer ecologically valid insights into why and when day-level multitasking hinders flow and subjective performance on a given day.</p>
<p>Our study contributes to the broad field of multitasking, as we believe the theorizing and empirical results presented in this paper may be useful in extending frameworks for the study of cumulative interruptions and task switches (see <xref ref-type="bibr" rid="ref5">Baethge et al., 2015</xref>; <xref ref-type="bibr" rid="ref55">Puranik et al., 2020</xref>). By first demonstrating that impaired flow explains the effect of multitasking on daily job performance, and then illuminating why (i.e., reduced challenge appraisals) and when (i.e., on days when employees are less engaged) day-level multitasking is detrimental to flow, we contribute to a more comprehensive understanding of employees&#x2019; short-term responses to juggling multiple tasks. The &#x2018;why&#x2019; and &#x2018;when&#x2019; of the multitasking&#x2013;flow relationship relate to the primary and secondary appraisal processes in the transactional model of stress and flow (<xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>). With regard to primary appraisal, we found that performing multiple tasks reduces the challenges one perceives throughout the workday, thereby hindering flow because flow tends to be experienced in challenging tasks. In accordance with the challenge-hindrance stressor framework (<xref ref-type="bibr" rid="ref43">LePine et al., 2005</xref>), we argue that multitasking can be categorized as a hindrance stressor, for which employees need to adopt a coping strategy if they want to experience flow. Our study suggests that daily work engagement may provide the necessary coping resources, allowing for a more positive secondary appraisal. We believe these are insights that help further specify the transactional model of stress and flow.</p>
<p>Finally, the present study advances our understanding of the antecedents and consequences of flow. We have shown that flow, as an experiential well-being state (<xref ref-type="bibr" rid="ref37">Ilies et al., 2017</xref>), has immediate implications for how employees perform. While research has established the importance of flow for predicting performance, our study adds to a small but growing body of research that examines flow as a within-person performance process (<xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>; <xref ref-type="bibr" rid="ref8001">Soriano et al., 2021</xref>; <xref ref-type="bibr" rid="ref8002">Weintraub et al., 2021</xref>; <xref ref-type="bibr" rid="ref30">Gerpott et al., 2022</xref>; <xref ref-type="bibr" rid="ref2">Aitken et al., 2023</xref>). Importantly, we have identified multitasking as a major obstacle to work-related flow, at least for those employees who do not feel particularly engaged. Our study thus provides empirical support for the notion that entering flow requires initial energy (which might get lost when multitasking), but once reached it is a state in which people can recover and build resources (see also <xref ref-type="bibr" rid="ref30">Gerpott et al., 2022</xref>).</p>
<sec id="sec15">
<label>5.1</label>
<title>Practical implications</title>
<p>The results from this study suggest that multitasking poses serious concerns for employee effectiveness. Notably, we observed almost no between-individual variance in day-level multitasking (see <xref ref-type="table" rid="tab1">Table 1</xref>). Thus, the level of multitasking cannot be explained by any individual-level differences (such as personality or work style) but rather is determined by situational, day-level variables. In other words, multitasking is not a given or stable work feature; some days are characterized by more alternations between activities and will require more (simultaneous or sequential) multitasking behaviors than other days. In a way, this suggests that employees and managers are left with little opportunity to be proactive and optimize the daily work environment. However, <xref ref-type="bibr" rid="ref9">Bakker and Van Woerkom (2017)</xref> claimed that flow should not be seen as a passively determined state but can be shaped by individual behaviors (see also <xref ref-type="bibr" rid="ref48">Liu et al., 2023</xref>). In a similar vein, we believe that the level of multitasking should not be seen as something employees and managers have no control over. Employees need to realize they are active agents; they can develop strategies for managing cumulative alternations and opt for a flow-conducive strategy to cope with multiple tasks (which multitasking is not; <xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>). In fact, optimizing job demands (i.e., simplifying the job and bypassing inefficient work processes) may be more fruitful than minimizing job demands (<xref ref-type="bibr" rid="ref25">Demerouti and Peeters, 2018</xref>). For managers, it is important to realize that if employees are spread too thin, this limits the learning potential of challenging tasks. They should therefore be mindful of daily variations in multitasking and assist employees on those days when they have to juggle many tasks.</p>
<p>Such assistance could be reflected in promoting strategies for time and attention management. Specifically, organizations are recommended to enable employees to monotask more frequently and for longer stretches of time, for instance by creating spaces designated for focused, uninterrupted work. Moreover, anecdotal evidence from our study suggests that organizations should try to limit the number of meetings, as these prompted many of the task switches. Evitable work switches may be reduced also by implementing new ways of working that enable employees to work whenever and wherever they want, in particular when they need time to work on solitary projects, thereby distancing themselves physically from colleagues and clients. Such organizational interventions could enhance the restorativeness of the work environment (see <xref ref-type="bibr" rid="ref11">Bellini et al., 2023</xref>).</p>
<p>Working from home may help in shaping more engaged subsequent workdays (<xref ref-type="bibr" rid="ref21">Darouei and Pluut, 2021</xref>), which will assist employees in coping with multitasking, as our results suggest. That being said, teleworkers may struggle with homeplace intrusions and social isolation as impediments to flow (<xref ref-type="bibr" rid="ref2">Aitken et al., 2023</xref>). Personal resources (such as discipline and resilience) seem critical in this respect. Therefore, we recommend that organizations offer personal resources interventions and mindfulness trainings for employees who are regularly faced with the demands of multitasking. An intervention study found that personal resources had a positive impact on work engagement (<xref ref-type="bibr" rid="ref7">Bakker and van Wingerden, 2021</xref>), while mindfulness has been found to result in improved self-regulation (<xref ref-type="bibr" rid="ref31">Glomb et al., 2011</xref>) and work engagement (<xref ref-type="bibr" rid="ref45">Leroy et al., 2013</xref>). Mindfulness seems to be fundamentally connected to workplace functioning, especially in light of the multitasking reality of many organizations. The growing body of research on mindfulness interventions suggests that working mindfully is associated with attentional stability (sustaining attention), attentional control (directing attention amid competing demands), and attentional efficiency (economical use of attentional resources) (<xref ref-type="bibr" rid="ref32">Good et al., 2016</xref>). When the workday involves multiple tasks, those benefits of working mindfully should assist employees in alternating effectively between activities, finding focus in their work, and determining which tasks should be completed with undivided attention.</p>
</sec>
<sec id="sec16">
<label>5.2</label>
<title>Limitations and directions for future research</title>
<p>We should note several limitations of our study. Although multitasking was measured based on detailed reports of work activities (<italic>cf</italic>. perceptual measures; e.g., <xref ref-type="bibr" rid="ref41">Kirchberg et al., 2015</xref>; <xref ref-type="bibr" rid="ref53">Peifer and Zipp, 2019</xref>), we did not use in-the-moment data collection. We did not have information on the share of resources other than time allocated to activities, how often employees were interrupted, if and when they resumed their tasks, or the reasons for multitasking. Thus, we are somewhat limited in our understanding of the nature of employees&#x2019; multitasking behaviors and it remains unclear whether flow is hindered by the performance of multiple tasks simultaneously, the interruptions associated with multitasking, or the task-switching aspects. We therefore recommend that future studies distinguish between the switching, interleaving, and overlaying types of multitasking behavior (<xref ref-type="bibr" rid="ref15">Circella et al., 2012</xref>). Higher levels of granularity would allow for examining whether challenge and hindrance appraisals differ across types and what are the consequences for flow and job performance. Future studies are also recommended to use observation methods (see <xref ref-type="bibr" rid="ref68">Wajcman and Rose, 2011</xref>) or a fixed format in the survey by which employees log the start time, end time, and resumption time of all daily tasks (see <xref ref-type="bibr" rid="ref26">Feldman and Greenway, 2021</xref>), if feasible.</p>
<p>Despite this limitation, our study design and data collection method were still intensive and demanding, which has come at the cost of the number of participants in the sample and the number of daily records in the analysis. Given the small sample size, it is important to interpret the magnitude of the effect sizes reported herein with caution. Also, inter-item correlations can be unstable if the sample size is small (<xref ref-type="bibr" rid="ref40">Kennedy, 2022</xref>) and the internal consistency of a scale can decrease if items are dropped (<xref ref-type="bibr" rid="ref59">Schaufeli et al., 2019</xref>). We indeed observed in our study that day-specific Cronbach&#x2019;s alphas are quite sensitive to small sample sizes and shortened scales. Hence, we spur researchers to investigate the relationships proposed herein and replicate our results using a large sample, ideally with multiple measurements throughout the day. That is, our results may be subject to concerns regarding the possibility of reversed causation and common method bias (<xref ref-type="bibr" rid="ref62">Siemsen et al., 2010</xref>), as our design did not involve temporal separation of the daily measures and we relied merely on employees&#x2019; self-reports for the assessment of job performance.</p>
<p>Our daily diary design covered 4 weeks and we were therefore not able to take a long-term perspective on the consequences of multitasking. Notably, multitasking is considered a poor strategy for learning (<xref ref-type="bibr" rid="ref57">Rosen, 2008</xref>), and the results of the current study on challenge appraisal speak to this notion. Our suggestion is that researchers adopt longitudinal designs and examine the implications of day-level multitasking and flow for longer-term outcomes such as workplace learning. Moreover, we have exclusively focused on outcomes in the work domain. It would be interesting for future researchers to examine multitasking as a hindrance demand that depletes (personal) resources, thereby spilling over to the home domain and potentially leading to work&#x2013;family conflict. We further believe that research in the field of job crafting can make a contribution to the literature on multitasking by identifying crafting behaviors of individuals (mostly likely in the domains of task and relationship crafting, see <xref ref-type="bibr" rid="ref69">Wrzesniewski and Dutton, 2001</xref>) that serve as responses to organizational realities of multitasking. Finally, while we focused on state work engagement, trait work engagement may also prove promising to study as a person-level resource that buffers the detrimental impact of multitasking (see <xref ref-type="bibr" rid="ref55">Puranik et al., 2020</xref>) as well as its relationship with job crafting in this context (see <xref ref-type="bibr" rid="ref8">Bakker et al., 2023</xref>).</p>
</sec>
</sec>
<sec sec-type="data-availability" id="sec17">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation upon request.</p>
</sec>
<sec sec-type="ethics-statement" id="sec18">
<title>Ethics statement</title>
<p>Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. Written informed consent from the patients/participants or patients/participants legal guardian/next of kin was not required to participate in this study in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="sec19">
<title>Author contributions</title>
<p>HP: Conceptualization, Formal analysis, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. MD: Conceptualization, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. MZ: Conceptualization, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec20">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="sec21">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="sec22">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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