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Predictive Eye Movements Characterize Active, Not Passive, Participation in Collective Embodied Learning of a Scientific Concept

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02 July 2023

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04 July 2023

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Abstract
Abstract: Embodied pedagogy maintains that teaching and learning abstract concepts can benefit significantly from integrating bodily movements in the process. Here we explored the involvement of eye movements in the process of collective embodied learning of a concept in physics - angular velocity. Embodied learning was accomplished by the subjects forming a line that rotated around a central object, in this case, a bottle. We tracked the gaze resulting from eye and head movements in 12 subjects, who both actively participated in the collective embodied exercise and passively watched it. The tracking data of 7 of these 12 subjects passed our tracking reliability criteria in all trials and are reported here. During active learning, the learners tended to look ahead of the rotating line (by 35.18±14.82 degrees). In contrast, while passively watching others performing the task, the learners tended to look directly at the line. Interestingly, while the learners were performing the collective exercise they were unaware of looking ahead of the rotating line. We discuss possible differences between active and passive embodied learning that might be indicated by the observed differences in gaze control.
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Subject: Biology and Life Sciences  -   Neuroscience and Neurology

1. Introduction

Neuro-pedagogy is an interdisciplinary field that integrates perspectives of learning sciences and neuroscience. A main discipline in this field is the study of teaching and learning strategies. Monitoring aspects of neural processing can facilitate an understanding of the effects of different teaching environments and pedagogics. This is a central objective of the research presented in this paper. Our pedagogical approach is based on a full-body, technology-free, embodied pedagogy for teaching and learning physics that we have developed in a previous study [1,2]. Our neurobiological probing is based on tracking the motor aspect of visual perception via gaze (as determined by head and eye control) tracking [3].

1.1. Embodied Cognition

One approach to connecting experience with conceptual knowledge is embodiment - a cognitive science paradigm that sees brain and body as intricately intertwined and inseparable entities. According to this approach, mental functions include activities throughout the body, environment, and society. Numerous studies based on the embodiment paradigm lend support to the premise that cognition is grounded in the physical reality [4-8].
The embodied cognition perspective supports the paradigm of learning through movement: "To say that cognition is embodied means that it arises from bodily interactions with the world. […] cognition depends on the kinds of experiences [coming] from having a body with particular perceptual and motor capabilities […] inseparably linked and [forming] the matrix within which reasoning, memory, emotion, language […] are meshed" [9]. Theorists of Embodied Cognition position sensorimotor activity as embedded in virtually all reasoning and conceptual processes [10]. The main argument is that understanding is rooted in physical experience, hence a learning environment that incorporates learner mobility to solve motor problems can support the development of cognitive abilities such as concept learning [11]. Embodied cognition has a significant impact on educational research [12-14], some of which is described below.

1.2. Embodied Pedagogy for Teaching and Learning Physics

Numerous studies over the years have explored students' difficulties in learning physics. One of the most researched directions in studying students’ difficulties is based on the learner’s active participation [15,16]. Active learning can be based on computers, research, writing, peer instruction, and additional approaches in which the student does not just watch and listen. Passive learning is learning in which the learner is only listening to the teacher. In contrast, active learning is learning in which the learner is an active partner in the lesson, for example through games, discussions, sessions, discourse, and more. Active learning has a clear advantage over traditional learning, in the context of conceptual understanding [17,18]. The research presented here is consistent with active learning based on the embodied pedagogy approach for teaching and learning physics which we developed in a previous study [1,2]. This embodied pedagogy involves full-body movements without any support from a technological environment. The approach coheres with the embodiment paradigm and relies on the interrelationship between existing (intuitive) physical knowledge and novel formal knowledge.
The underlying assumption of this pedagogy is that actual physical experience can be used as a unique resource for learning complex concepts (e.g. angular velocity in physics) by associating them with daily bodily activities. This assumption is supported by frequent indications about the contribution of embodiment to learning and problem solving [19, 8]. The central principle of this pedagogy is to enable learners to physically experience a physics-related phenomenon before defining and explaining it verbally - “experience first, signify later” [4,2, 20].

1.2.1. The Angular Velocity Concept and the Collective Circular Exercise

Circular motion is a complex topic to teach and learn [21]. Students have difficulties primarily with the kinematics of circular motion [22]. In particular, students often confuse linear velocity and angular velocity [23]. Moreover, the concept of angle is also often misconstrued [24]; many students confuse between the definition of angle and the definition of arc, which consequently impairs the understanding of angular velocity [20].
Angular velocity is defined as the angular displacement overtime of a body in a circular path. The mean angular velocity of bodies A and B moving from their respective Point 1 to Point 2 is the same when their motion lasts the same amount of time (Figure 1a); in this example, if the motion lasts 10 seconds, then the angular velocity of both bodies is 6 degrees per second.
The collective circular exercise is an embodied collective activity, which refers to learning this concept according to our embodied pedagogy approach for teaching and learning physics [2]. During this collective task, the instructor positions a bottle in the room and asks the learners to “walk around the bottle together as one body”. The students usually interpret the instruction as keeping the line intact as a straight line (Figure 1b). After several cycles of trial and error, the students typically stabilize on a collective method to circle the bottle together, with those farther away from the bottle walking faster. This exercise is typically followed by a verbal explanation accompanied by a specific arm gesture [2].
The contribution of this instructional approach to students’ learning is evident. For example, we tested it with high school female students, in both dance majors and physics majors, and the learning was evident and successful [20]. Moreover, after asking the students to summarize the concept of angular velocity through creative summary works, we found that the students expressed not only a deep conceptual understanding but also creativity and philosophical and effective depth [2, 20]. Examining the behavior of students practicing the collective circular exercise through microanalytically analysis, implied that head direction was actively involved in the learning process [2]. The current study was designed to monitor gaze behavior continuously throughout the exercise.

1.3. Eye Tracking in Learning

Most of our external information and perception of the world is achieved through vision. Tracking peoples’ gaze using eye-tracking technology can provide information about which elements attract people's attention - what people focus on and what they are ignoring [25]. Eye-tracking has become a widely used method to analyze user behavior in marketing, neuroscience, human-computer interaction, and visualization research [3]. Educational science is one of the fields of applied eye-tracking research [26].
Students’ behavior has been studied extensively by various eye-tracking measurements in individual learning, in various disciplines [27,28,]. These studies include: eye tracking in physics education [29], learning from graphics [30], multimedia learning processes [ 31], and learning from a scientific text [32].
In contrast, the study of learning in collaborative processes by investigating learners’ gaze is rather uncommon, with a few exceptions using computer-supported collaborative learning (CSCL) [33,34, 35]. Most studies use eye-tracking while the student is sitting or standing like this examples from mathematics education research [36, 37]. In some studies, the students move their head or arms [36, 39]. We present for the first time, to the best of our knowledge, the use of eye-tracking for investigating individual learners while participating in collaborative learning through a collective embodied exercise in full-body movement.

1.4. Be a Passive or Active Learner in Embodied Learning Environment

The pedagogical differences between active embodied learning and passive embodied learning (e.g., when observing active learners) are not yet clear [11] When collective embodied exercises are used in a whole-class setting, there may not be enough time for every student to physically engage with the learning environment. Therefore, an important question to consider is whether students who are situated outside the embodied environment as observers will learn as well as active learners. Note that even the supposedly passive learners are not physically passive, since they constantly move their eyes and perhaps additional body parts while observing the exercise. In this paper, a passive learner is one who observes active embodied learners.
The importance of actively performing embodied exercises, rather than just watching others performing them, was demonstrated, for example, in studies where students described mathematical graphs using body gestures [40]. On the other hand, there are studies that suggest that observing someone else’s actions may lead to a conceptual understanding akin to performing the action oneself [41]. Valuable passive embodied learning is assumed to be based on the activity of “mirror neurons”, neurons that can potentially translate observed movements to representations of self-movements [42-43]. In this study, we have tested among other things, whether eye movements of passive and active learners behave similarly.

1.5. Predictive Behavior and Looking Ahead

Predictive behavior is ubiquitous in life and in neural systems [44]. Anticipatory control is observed, for example, in diving birds that retract their wings before plunging into water [45]; catching a ball requires both predictive and reflexive (feedback) mechanisms [46]. According to Nijhawan and Wu, in order to sense and interact with moving objects, for example, the visual system must predict the future position of the object to compensate for delays [46]. Predictive responses are also found in single cells [48].
Rats tend to “look ahead” with their whiskers before turning [49-51]. It is known that people tend to look ahead of a rotating clock arm [52, 53]. Eye movements often precede hand movements in natural tasks [54]. In addition, and relevant to our current study, studies show that when one person is required to follow the actions of someone else, the observer anticipates the other’s movements, preceding them with their gaze [55, 56]. Predictive behavior is often associated with closed-loop dynamics [44,49].

1.6. Closed–Loop Perception (CLP)

Brains contain closed-loops at all levels, many of which have been implicated in perceptual processing [57]. CLP maintains that perception emerges from continuous circular processes in such loops, processes in which the brain moves its sensory organs in a manner that matches the sensory inputs resulting from these movements; the relationships between the motor and sensory components of perception represent external objects or events [58]. Perception then, according to CLP, is a closed-loop process in which information flows between the environment, sense organs, and the brain in a continuous loop with no starting or ending point. The motor-sensory loops strive to reach a steady state in which the motor behavior predicts the sensory input, and the sensory input predicts the motor behavior. In these perceptual processes, the visual system is expected to control specific motor variables, depending on the task and conditions [59, 60].

1.7. The objective of the current study

The main objective of the current study had been to probe the dynamics of visual perception, via the recording of eye movements, during active and passive participation in embodied pedagogy.

2. Materials and Methods

2.1. Participants

Thirty healthy, middle-school physics teachers with normal vision (24 females and 6 males, 30 – 60 years old) participated in the study as part of a physics teacher training held in a studio class. All the subjects signed a health declaration in the context of their eye health and vision (. We preferred to start with teachers in order to maximize abeyance and minimize attention distractions. We selected the teachers on the basis of their lack of familiarity with the learned concept (post-hoc we have discovered that two of them were familiar with the concept). Twelve of the subjects (10 females and 2 males) had their eye movements tracked during the study. Only one subject from the 12, was familiar with the concept being learned (angular velocity). All subjects provided written consent and received payment for their participation.
All 12 subjects wore eye trackers in all the experimental tasks (Pupil Core eye tracker from Pupil Labs, Berlin). We used the remote recording app (Pupil Mobile) and the offline eye-tracking analysis software (Pupil Player) supplied by Pupil Labs, using the manufacturer’s default confidence threshold. Subjects (n=5) whose confidence level was above threshold for < 25% of the recording time were excluded from the analysis; the analysis of eye movements hereafter is based on the remaining 7 subjects.

2.2. The Experimental Tasks and Design

Each subject participated in 4 trials: 2 active trials (trial 1 and trial 3) and two passive trials (trial 2 and trial 4), each trial lasting ~30 seconds. An active trial is when subjects performed the collective circular exercise, and a passive trial is when subjects just watched other subjects performing the collective circular exercise. Before the first trial, each subject answered a written questionnaire related to the concept of angular velocity: “In the illustration, in front of you, there are 12 equal cuts, every 30 degrees. Three points (1,2,3) are marked in the illustration. Each of the points moves in its own circle at a constant rate, but they all return to the place from which they began to move after 24 seconds.
Preprints 78310 i001
Between trials 1 and 2, the instructor gave the subjects a brief (~ 5-minute) verbal explanation of the concept of angular velocity, accompanied by a demonstration using arm gestures (elbow as a pivot and rotation of the forearm). All procedures met the Weizmann Institute of Science ethical standards and were approved by the Weizmann Institute’s Institutional Review Board (IRB).
The collective circular exercise: The subjects were asked to walk around a bottle together with other subjects while keeping the line intact (Figure 1). Six groups of five subjects were trained on the collective circular exercise described above. Twelve (12) of the 30 subjects who stood at one of the two edges of the moving line during the exercise (Figure 1b) were the subjects in the experiment, and we tracked their eye movements. The subjects were asked to provide verbal reports, after the experiments, stating where were they looking during the experiment.

2.3. Materials

We used eye trackers, which were connected to a cell phone attached to the subject's clothing, enabling easy movement in the space. There are three cameras on this eye tracker device: one camera for each eye at a sampling rate of 200 Hz (200 frames per second) and one HD world camera at a sampling rate of 30 Hz (30 frames per second) that captured the subject’s field of view (Figure 2).

2.5. Data Analysis

2.5.1. Eye Movement Tracking Setup

Figure 3 shows a snapshot from the Pupil Player software as viewed by a subject standing near the bottle (and who cannot be seen in the image). The green dot surrounded by a yellow circle marks this subject’s gaze while participating in the collective circular exercise. The curved blue and yellow arrows that are superimposed on the image indicate the directions of the subjects’ movement, demonstrating the larger linear distances covered by the farther participant who was one of the two subjects in the activity.

2.5.2. Human Observers Classification

For each subject’s recording, in each frame, 2 human observers classified the position of the gaze relative to the line of walkers and whether it is (1) on the line, (2) ahead of the line, or (3) behind the line. Observer 1 is the first author of the paper and observer 2 was unfamiliar with the study. The video recording of the experiment was analyzed using the Pupil Player software.

2.5.3. Azimuthal Angle Analysis

Pupil Player Software Azimuthal Angle:
For each subject’s recording, 2 human researchers conducted a semi-automatic analysis of the recording to estimate the azimuthal angle of the gaze from the line, as seen in Figure 3a. This analysis was conducted with the Pupil Player software, using the validation function. The two researchers chose frames where the subject’s gaze was clearly detected, and part of the participant’s line was visible. At each appropriate frame, they manually marked a point on the line that seemed closest to the subject’s gaze (see the yellow dot on the line, in Figure 3a above). Based on the chosen point on the line and the location of the gaze, an estimate of the angular distance was made. In order to measure inter-observer reliability, we measured the intra-class correlation (ICC) of the two measurements, and received r_ICC=0.68 for the active subjects, r_ICC=0.58 for the passive and r_ICC=0.95 for the combined data set (active and passive together). The inter-observer reliability values fall within the range of inter-observer reliabilities previously found in our lab [61] and elsewhere [62]. The high level of inter-observer correlation for the combined data set reflects the fact that the noise coming from the difference between observers was small compared to the signal we report. In fact, the square root of the mean squared differences (MSE) between the observers (9.9%) was at least 7 times smaller than the mean differences between their reported observations (>70%, Figure 7).
Manual Measurement of Azimuthal Angle:
To test the reliability of our measurements of the angular distance, we selected certain video images of situations that could be physically reconstructed in the studio class. Below in Figure 3b we can see one instance out of 12 in which we physically reconstructed the finding of the angle. Using information from the video frames, we reconstructed the location of the center, the gaze, and the line. We placed a bottle in the room and two other objects that symbolized the gaze and the line and, with the help of a protractor, we physically measured the angle. To measure the reliability of our semi-automatic measurements (of one observer) using these manual angular measurements, we measured the ICC of the two measurements, and obtained r_ICC=0.87.

2.6. Statistical Analysis

Descriptive statistics were calculated to characterize gaze behavior in active & passive embodied collective exercises. A t-test was used to test whether the gaze was on the line for the majority of the time, as indicated by the subjects, and to compare the time spent gazing ahead of the line between active and passive subjects. A Kolmogorov-Smirnov test for normality of our data set showed that it does not differ significantly from that which is normally distributed (D-statistic = 0.23, p = 0.77).

3. Results

3.1. Questionnaires

The subjects received questionnaires before and after the collective circular exercise (see Materials and Methods). Ten of the subjects were not familiar with the concept of angular velocity before the experiment and their answers were analyzed. In sections A and B, no changes were found before and after the collective circular exercise and the brief (~ 5-minute) verbal explanation of angular velocity accompanied by a demonstration using arm gestures. These were sections that did not relate to the concept of angular velocity. In section C, which referred to linear velocity, 4/10 subjects answered correctly before the collective circular exercise and the explanation and 10/10 answered correctly after it. In section D, which referred to the concept of angular velocity, all the ten subjects answered wrongly before the collective circular exercise and the explanation and correctly afterward.

3.2. Eye Movements During Active and Passive Participation in the Collective Circular Exercise

We measured the subjects’ gaze during the collective circular exercise. Two observers scanned all detectable frames (see 2.5.2) and categorized each such frame as: (1) looking at the line, (2) looking ahead of the line, or (3) looking behind the line. Figure 4 shows two snapshots from one subject’s world camera recording while he was doing the activity. The subject stood near the bottle and is not visible in the figure. The green dot represents his gaze in this frame. Figure 4a on the left is an example of what was most often observed during an active trial. The subject’s gaze was ahead of the line, preceding the movement of the line. On the right, Figure 4b is an example of what was less often observed during active trials. The subject’s gaze is on the line of subjects. This behavior stood in contrast to the subjects’ verbal reports, stating that they were mostly looking at the other subjects in the line.
We measured the subjects’ gaze during passive trials, i.e., while they were watching other subjects performing the collective circular exercise. Throughout the activity, there were two passive observers standing in front of both edges of the walking line (before it started moving). One of the observers stood in front of the subject at the end of the moving line and one stood in front of the bottle. The exact instructions that were given to each observer were: “please stand and watch the group performing the task". In Figure 5 we see four snapshots from the world camera recording of the passive subject who was in front of the bottle, while he was watching the collective circular exercise. The green dot represents his gaze in this frame. The two figures on the left, (a) and (b), are examples of cases most often observed, where the subject is looking at the line of subjects in the exercise. The two figures on the right, (c) and (d), are examples of cases less often observed, where the subject is looking ahead of the line or behind the line of subjects, respectively.
The distribution of gaze directions differed between the active and passive trials (Figure 6 ). While subjects looked ahead of the line 90±2% of the time during active trials, they did so in only 19±3% of the time during passive trials (p<0.001, 2-tailed t-test; 2-tailed independent t-val = 13.9, df=12; data averaged across the 2 observers; n = 7 subjects). To test the probability that this difference could happen accidentally, we tested it against a null hypothesis that the gaze was directed at the line 50% of the time. This null hypothesis was rejected (p<0.001, 2-tailed t-test; 2-tailed independent t-val = 27.7, df=6; data averaged across the 2 observers; n = 7 subjects).

3.3. Dynamics of Gaze During Active Trials

We quantified the frame-by-frame angle between the gaze and the subjects’ line during active trials.

3.3.1. Looking-Ahead During the Collective Circular Exercise

Each plot in Figure 7 shows the angle between a single subject’s gaze and the subjects’ line in each frame during the entire trial (see Materials and Methods). Two trials are shown for each subject (trial 1 in green dots and trial 3 in blue dots).
The four graphs at the far left of Figure 7 refer to the subjects who stood near the bottle at the center of the circle, and the three graphs at the right of Figure 7 refer to the subjects who stood at the end of the walking line. The subject depicted in the bottom right (light colors) was the only subject in this group who was familiar with the concept of angular velocity before the experiment. We can see from the graphs that the activity lasted about 20-30 seconds where most of the points are positive in the vertical axis. Positive dots show that the subject looked ahead of the moving line in the collective circular exercise. Points on the horizontal axis represent a situation where the subject looks at the line, so the measured azimuthal angle is zero. The lower right graph is in a different color from the others because it is the only one referring to a subject who, in retrospect, turned out to be familiar with the concept of angular velocity before the activity.
No systematic difference was found between the patterns of eye movements before (Figure 7, green) and after (Figure 7, blue) the explanation of the concept of angular velocity. Specifically, we have compared three gaze-dependent variables: The mean of percentage of time the gaze was ahead of the line was 16 ± 13 % before the intervention and 22 ± 20 % after it; the mean pairwise difference was 6 ± 12 % (p = 0.65; paired T-Test). The mean of the gaze angular distance from the line was 29.9 ± 4.1 degrees before the intervention and 28.5 ± 7.1 degrees after it; the mean pairwise difference was 1.5 ± 6 degrees (p = 0.83; paired T-Test). The mean standard deviation of gaze angular distance from the line was 15.2 ± 3.4 degrees before the intervention and 13.4 ± 2 degrees after it; the mean pairwise difference was 1.8 ± 3.9 degrees (p = 0.66; paired T-Test)

4. Discussion

Tracking the visual gaze of human subjects while they are actively engaged in an embodied learning task of a physical concept (angular velocity) revealed that subjects tend to look substantially ahead of the moving group. In contrast, these subjects did not tend to look ahead of the moving group when they were passively watching the moving group. Since the subjects were free to move their entire body, the visual gaze was determined by the superposition of body, head, and eye movements.
Looking ahead of a moving object is not a novel finding. It is known that eye movements usually precede hand movements [63] For example, people tend to look ahead of a rotating clock arm [52,53] and eye movements can precede hand movement in a natural task like mountaineering [54] In addition, predictive responses are found even in single cells [48]. Such behavior is typically referred to as a predictive behavior [44,46,49].
Yet, the finding of looking ahead while actively performing the collective circular exercise was unexpected. First, people who previously performed this task, including the instructor of the current study, were unaware of this phenomenon. Second, in their verbal reports all subjects reported looking at each other so as to synchronize their movements in the exercise, and not looking ahead. This disparity between what the subjects verbally reported looking at and what they actually looked at might be explained by the observation that people do not necessarily look at what they are attending to [64]. It could be that our subjects reported what they were attending to, and not where they were looking.
How might looking ahead be related to embodied learning? Our interpretation of looking ahead behavior corresponds with the predictive interpretation mentioned above, and takes it one step further. The predictive interpretation maintains that our motor actions are attuned to meeting the relevant sensory inputs at the right time, taking into consideration the time delays involved in the relevant sensory-motor loop. We adopt this interpretation within a general interpretation of closed-loop perception (CLP) [58]. In our general scheme, sensory and motor processes are equal partners in a circular motor-sensory process that underlies perception. Importantly, perception is not a sensory process. Rather, it is the phenomenon emerging from an ongoing circular process in which sensory events predict motor events and motor events predict sensory events.
Previous studies in mathematics education and physics education have shown that eye-tracking is particularly beneficial for studying processes rather than outcomes [37,29]. Specifically, previous studies indicated the importance of intersubjective sensorimotor coordination [36], a dynamic coordination between individual perception–action systems [65]. Our results add additional angle to this line of studies. Assuming that each individual perceives her or his environment via an array of closed-loop motor-sensory circuits (CLP, [58]), the dynamic intersubjective coordination is further assumed to form an extension of such motor-sensory loops to the intersubjective level. That is, the completion of a motor-sensory cycle in each individual now depends also on the sensory information collected about the dynamics of the group. While a theoretical framework for such group perceptual processes is still lacking, it can already be speculated that the looking ahead phenomenon observed here is part of this process. Namely, the intersubjective coordination required for the perceptual process of a group involves an inter-subject predictive control of each individual’s gaze.
These results are also relevant to the collaboration quality of collaborative learning groups [38,35]. Assessing the collaboration quality in remotely-linked student dyads, for example, demonstrated the importance of mediating technologies, such as eye tracking, for supporting joint attention in collaborative learning activities [35]. In our study, joint attention was probably obtained not by attending to external objects but rather by attending to the common movement pattern of the group, as indicated by the consistent looking ahead behavior. As attending to the common movement of the group requires the assessment, or perception, of the angular velocity, this joint attention might play a role in the collaborative learning of the angular velocity concept. This joint attention is embodied – it is expressed by eye movements. Naturally, it must also involve neuronal representations that are included in the motor-sensory loop(s) controlling eye (and head) movements [58]. It can be said that the dynamics of the entire motor-sensory loop, including gaze behavior, forms the embodied representation of the concept of angular velocity in this task [59-62]. The different embodiment pattern observed here between active and passive participants may provide a clue for explaining previously reported advantages of active versus passive participation in learning a mental task [63].
The gaze behavior observed in our passive trials was contrary to studies in the literature that show that when one person is required to follow the actions of someone else, the observer anticipates the other’s movements, preceding them with their gaze [55, 56]. This difference might be explained by the fact that our passive observers were required to follow the actions of a group rather than of an individual, and this might affect their predictive behavior, possibly due to the reduced level of action mirroring. In any case, whatever the reason is, the striking difference between active and passive trials in our group task calls for the attention of educators when conducting collective embodied learning tasks – active and passive participation may lead to different results. This recommendation can be reconciled with the literature, which indicates an advantage for active learning over passive learning [71, 72].
According to the closed-loop perceptual scheme, the angle between the line of subjects (a sensory variable) and each participant’s gaze (a motor variable) is a dynamic variable whose behavior reflects the perceptual process. In the case of embodied learning, as is the case here, the behavior of this variable may also reflect the learning process. For example, our subjects’ looking patterns may be affected by their attempts to estimate the distance that each of the subjects had to pass in a given time in order to keep the line intact.
If indeed sensory-motor behavior played a role in such predictive calculations, then the fact that this behavior was typical only for the active trials (and not for the passive trials) suggests a principal advantage of the embodied learning process [73,74]. Namely, when one is passive, her gaze is directed at where things are; however, when one is active, her gaze is directed at where things would be had her assessment of the world been correct.
The current study focused on the analysis of looking behavior during embodied teaching. Looking behavior is only one component of the behavior underlying visual perception, visual perception is only one component of sensory perception, and sensory perception is only one component in the process underlying embodied learning. In our view, the primary importance of our results is not in the actual measured behavior of the gaze, but in identifying the existence of dynamic, perception-related processes that differ between passive and active learning, which are likely involved in the embodied learning process.
How exactly these processes are related remains to be studied in future studies. Such future studies should attempt to overcome the limitations of the current study. Primarily, the current study did not allow the investigation of the possible contribution of eye movements to concept learning. Additional limitations of the current study include: insufficient statistical power for characterizing differences in eye movement dynamics between the different conditions and insufficient power for identifying dynamical patterns of convergence or oscillations within each trial.

Author Contributions

Conceptualization, R.Z. and E.A.; methodology & execution, O.K, T.B.J, R.Z.; formal analysis, O.K, R.Z.; writing – original draft preparation, R.Z.; writing – review & editing, R.Z., O.K., E.A.; visualization, R.Z..; supervision, E.A.; funding acquisition, E.A. All authors have read and agreed to the published version of the manuscript.

Funding

The European Research Council (ERC) under the EU Horizon 2020 Research and Innovation Programme (grant agreement No 786949). The Neuro-wellness academic research grants program funded by the JOY Fund (grant agreement No 713641).

Institutional Review Board Statement

All procedures met the Weizmann Institute of Science ethical standards and were approved by the Weizmann Institute’s Institutional Review Board (IRB; approval number: 733-2).

Informed Consent Statement

Informed consent was obtained from all subjects involved in the study.

Data Availability Statement

Not applicable.

Acknowledgments

Special thanks to the group of Israeli academic mothers " Mothers researching alone together" (in Israel and the USA) for the genuine support in the writing process.

Conflicts of Interest

The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

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Figure 1. Illustration of the concept of angular velocity and the embodied collective activity re-lated to its teaching. (a) Angular velocity is defined as the angular displacement over time of a body in a circular path. Given that the blue arrow represents the movement over 10 seconds, the angular velocity of points A and B, while moving from their respective point 1 to point 2, is 6 degrees/second. (b) An illustration depicting the embodied collective activity (collective circular exercise), which refers to learning the concept of angular velocity according to our embodied pedagogy approach for teaching and learning physics. The learners are asked to walk together around a fixed point - a bottle. Using trial and error, they negotiate, verbally and using gestures, a collective method to circle the bottle together. They move to keep the line intact with those farther away from the bottle walking faster.
Figure 1. Illustration of the concept of angular velocity and the embodied collective activity re-lated to its teaching. (a) Angular velocity is defined as the angular displacement over time of a body in a circular path. Given that the blue arrow represents the movement over 10 seconds, the angular velocity of points A and B, while moving from their respective point 1 to point 2, is 6 degrees/second. (b) An illustration depicting the embodied collective activity (collective circular exercise), which refers to learning the concept of angular velocity according to our embodied pedagogy approach for teaching and learning physics. The learners are asked to walk together around a fixed point - a bottle. Using trial and error, they negotiate, verbally and using gestures, a collective method to circle the bottle together. They move to keep the line intact with those farther away from the bottle walking faster.
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Figure 2. Pupil Core eye tracker device with three cameras. The two cameras, one for each eye, are circled in yellow and the world camera is circled in red.
Figure 2. Pupil Core eye tracker device with three cameras. The two cameras, one for each eye, are circled in yellow and the world camera is circled in red.
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Figure 3. The azimuthal angle from the Pupil Player software and manual measurement of the azimuthal angle. (a) Snapshot from the Pupil Player software while performing the collective circular exercise while the subject is standing near the bottle. The green dot surrounded by a yellow circle marks this subject’s gaze. The curved blue and yellow arrows that are superimposed on the image indicate the directions of the subjects’ movement. The angular distance is the azimuthal angle between the direction of the subject’s gaze and the direction of the subjects’ line (yellow dot). Insets: a single frame of the binocular tracking; red indicates confidence > 0.6. (b) Example of a physical verification of the azimuthal angles calculated by the tracker’s software.
Figure 3. The azimuthal angle from the Pupil Player software and manual measurement of the azimuthal angle. (a) Snapshot from the Pupil Player software while performing the collective circular exercise while the subject is standing near the bottle. The green dot surrounded by a yellow circle marks this subject’s gaze. The curved blue and yellow arrows that are superimposed on the image indicate the directions of the subjects’ movement. The angular distance is the azimuthal angle between the direction of the subject’s gaze and the direction of the subjects’ line (yellow dot). Insets: a single frame of the binocular tracking; red indicates confidence > 0.6. (b) Example of a physical verification of the azimuthal angles calculated by the tracker’s software.
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Figure 4. Snapshots from the world camera recording of an active subject in the collective circular exercise, while he was standing closest to the center and wearing the eye-tracking device. The green dot represents the subject’s gaze. (a) The subject’s gaze is ahead of the line of subjects. (b) The subject‘s gaze is at the line (showed on the participant who was standing next to him).
Figure 4. Snapshots from the world camera recording of an active subject in the collective circular exercise, while he was standing closest to the center and wearing the eye-tracking device. The green dot represents the subject’s gaze. (a) The subject’s gaze is ahead of the line of subjects. (b) The subject‘s gaze is at the line (showed on the participant who was standing next to him).
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Figure 5. A snapshot from the world camera of a passive subject who was watching the collective circular exercise, where the green dot represents the subject’s gaze. The passive observer in this figure stands in front of the bottle (a) The subjects move while facing the passive subject. The subject’s gaze is at the line of subjects. (b) The subject’s gaze is ahead of the line of subjects. (c) The subject’s gaze is behind the line of subjects. (d) The subjects move with their backs to the passive subject. The subject’s gaze is at the line of subjects.
Figure 5. A snapshot from the world camera of a passive subject who was watching the collective circular exercise, where the green dot represents the subject’s gaze. The passive observer in this figure stands in front of the bottle (a) The subjects move while facing the passive subject. The subject’s gaze is at the line of subjects. (b) The subject’s gaze is ahead of the line of subjects. (c) The subject’s gaze is behind the line of subjects. (d) The subjects move with their backs to the passive subject. The subject’s gaze is at the line of subjects.
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Figure 6. Distribution of gaze direction across three categories – at, ahead of, or behind the line. The vertical axis is the average percent of time in each movement category. The different colors represent the two human observers. (a) While passively watching the collective circular exercise. (b) While actively performing the collective circular exercise.
Figure 6. Distribution of gaze direction across three categories – at, ahead of, or behind the line. The vertical axis is the average percent of time in each movement category. The different colors represent the two human observers. (a) While passively watching the collective circular exercise. (b) While actively performing the collective circular exercise.
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Figure 7. The angular distance over time between the subjects’ gaze and the line of the subjects while performing the collective circular exercise – one graph per subject. Left, four subjects who stood near the bottle; Right, three subjects who stood at the end of the subjects’ line. Green, trial 1; Blue, trial 3. The subject depicted in the bottom right (light colors) was the only subject in this group who was familiar with the concept of angular velocity before the experiment. Positive angles indicate looking ahead of the line; zero angles indicate looking at the line.
Figure 7. The angular distance over time between the subjects’ gaze and the line of the subjects while performing the collective circular exercise – one graph per subject. Left, four subjects who stood near the bottle; Right, three subjects who stood at the end of the subjects’ line. Green, trial 1; Blue, trial 3. The subject depicted in the bottom right (light colors) was the only subject in this group who was familiar with the concept of angular velocity before the experiment. Positive angles indicate looking ahead of the line; zero angles indicate looking at the line.
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