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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Exploratory Process Analysis of Teacher Learning of AI Integration through Collaborative Design</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Xiaoyu Wan⇤</string-name>
          <email>xwan3@u.rochester.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jingwan Tang⇤</string-name>
          <email>jtang21@u.rochester.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zhen Bai</string-name>
          <email>zbai7@ur.rochester.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Xiaofei Zhou⇤</string-name>
          <email>xzhou50@ur.rochester.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>University of Rochester</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>Little research has been done on the study of computersupported collaborative learning (CSCL) in the context of teacher learning, especially the temporal analysis of the knowledge construction process and its impact on learning outcomes. The purpose of our research is to explore multiple temporal analysis methods to understand the knowledge construction in K-12 teacher CSCL of ML-empowered lesson plan design using the video transcript data. The social network analysis yielded high and low meta-cognition across groups and indicated the association with the design artefact quality. Sankey diagram visualization demonstrated the macro-level cognition activity flow in the process. Lag sequential analysis found patterns of transition of technological, pedagogical, and content knowledge during collaborative design contributing to the group learning outcome. A discussion on the results is provided, which sheds light on analyzing and facilitating teacher learning in CSCL settings.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Computer-supported collaborative learning (CSCL)</kwd>
        <kwd>temporal analysis</kwd>
        <kwd>teacher learning</kwd>
        <kwd>knowledge construction</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. INTRODUCTION</title>
      <p>
        Artificial intelligence (AI) plays an increasingly critical role
in K-12 education as technology advancement [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. It
imposes a new requirement for K-12 teachers with limited
computing backgrounds to develop an understanding of teaching
with AI technologies in classrooms [
        <xref ref-type="bibr" rid="ref13 ref32">13, 32</xref>
        ]. Recent research
eo↵rts started initiating professional development programs
to prepare teachers with sucient knowledge about utilizing
AI to support student learning with subject matters [
        <xref ref-type="bibr" rid="ref47 ref52 ref58">47, 52,
58</xref>
        ]. These studies, however, provide little information about
how teachers engaged in sense-making activities of AI
technologies, which are essential in guiding the design of teacher
∗These three authors contributed equally.
      </p>
      <p>Copyright ©2021 for this paper by its authors. Use permitted under
Creative Commons License Attribution 4.0 International (CC BY 4.0)
education programs for AI integration.</p>
      <p>
        Our study attempts to address this inquiry by
investigating teachers’ learning process using existing data collected
from a professional development program, ML4STEM, in
April 2020 [
        <xref ref-type="bibr" rid="ref59">59</xref>
        ]. It introduced an ML-enhanced scientific
discovery learning environment to 18 in-service K-12 teachers
and engaged them in several learning activities to learn to
teach with a new tool. This paper specifically focuses on the
collaborative design activity in a computer-supported
collaborative learning context (CSCL). Teachers created
MLenhanced lesson plans (Fig. 7) facilitated by a web-based
learning environment, SmileyDiscovery (Fig. 6), enabling
novice learners to apply k-means clustering in science
context to discover patterns and new knowledge [
        <xref ref-type="bibr" rid="ref59">59</xref>
        ].
Collaborative design has been argued as the most e↵ective
method to support teachers’ understanding of technology
integration in classrooms [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. However, the desired
learning outcomes are not naturally guaranteed [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. An
e↵ective CSCL learning process depends on constructing new
knowledge and generating new understandings during the
collaboration process [
        <xref ref-type="bibr" rid="ref10 ref15">10, 15</xref>
        ]. Particularly, d [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. To
understand the quality of such knowledge construction process,
a key to di↵erentiating the quality of cognitive activities at
high and low levels becomes necessary, as we expected the
desired high level of knowledge construction during the
collaboration [
        <xref ref-type="bibr" rid="ref43">43</xref>
        ]. Previous research related to CSCL lacks
such e↵orts in studying the knowledge construction process
in the teacher learning context [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ] or limited to descriptive
analysis to reveal the factors within CSCL that contribute
to teacher learning [
        <xref ref-type="bibr" rid="ref18 ref27 ref34 ref4">18, 34, 4, 27</xref>
        ].
      </p>
      <p>
        To uncover patterns of teachers’ collaborative learning and
investigate the knowledge construction process demonstrated
by the quality of cognitive processing, we explored multiple
methods to analyze the temporal data at both individual and
group levels. Social network analysis is to uncover both the
interactions between participants and with cognitive
activities to identify group collaboration patterns and suggest
collaboration strategies based on groups’ end-product of
learning [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. Lag sequential analysis (LSA) is to investigate how
knowledge is transiting between groups during collaborative
design. Sankey diagram visualizes macro-level cognitive
activity flow through the collaborative design process. The
results provide insights into how die↵rent collaboration
patterns across teams ae↵ct learning and how knowledge
constructs across groups. The implications of such findings are
discussed at the end of this paper.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. RELATED WORK</title>
    </sec>
    <sec id="sec-3">
      <title>2.1 Artificial Intelligence in K-12 Teaching</title>
      <p>
        AI technologies have become increasingly crucial in
education by playing four roles: intelligent tutor, intelligent tutee,
intelligent learning tool &amp; partners, and the policy-making
advisor [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. Implementing them in classrooms, however, is
a challenge for K-12 teachers. One of the primary obstacles
is that guiding students to learn with AI tools require
teachers to understand relevant technological knowledge [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. It
is another challenge to prepare K-12 teachers for teaching
with AI in classrooms due to their limited computing
backgrounds [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], and the lack of teaching materials [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]. To
provide insights on potential solutions to the aforementioned
challenges, we analyzed the learning process showing how
K-12 STEM teachers learned collaboratively to design
MLempowered lesson plans.
      </p>
    </sec>
    <sec id="sec-4">
      <title>2.2 Collaborative Design &amp; Teacher Learning</title>
      <p>
        Collaborative design is viewed as a form of professional
development [
        <xref ref-type="bibr" rid="ref2 ref54">2, 54</xref>
        ] and has been advocated as a desirable way
for sustaining teachers to implement innovative practices
enhanced by advanced technologies [
        <xref ref-type="bibr" rid="ref16 ref2 ref34">2, 16, 34</xref>
        ]. It is an activity
in which teachers and technology designers work together to
create teaching materials that comply with the function of
technologies, and the realities of teaching contexts [
        <xref ref-type="bibr" rid="ref54">54</xref>
        ]. It
argues that active engagement, as well as the shared
process of collaborative design, o↵ers ample opportunities for
teachers to reflect on and deepen their understanding of the
usage of the new technology in classroom teaching [
        <xref ref-type="bibr" rid="ref54">54</xref>
        ].
The model of technological, pedagogical, and content
knowledge (TPACK) [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] is frequently applied in this research
field to describe what knowledge that teachers should
develop for technology integration. It consists of seven
dimensions: technology knowledge (TK), pedagogy
knowledge (PK), content knowledge (CK), technology pedagogy
knowledge (TPK), technology content knowledge (TCK),
pedagogical content knowledge (PCK), and technological
pedagogical content knowledge (TPCK). Previous research
has identified two kinds of support necessary for
developing teachers’ TPACK in collaborative design activities. One
is expert support, which means the design teams should
involve participants who are knowledgeable in the area of
content, pedagogy, and technology on the materials that are
being developed [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. The other is process support, referring to
monitoring the design process for ensuring the design
intention is achieved [
        <xref ref-type="bibr" rid="ref27 ref4">4, 27</xref>
        ]. These studies employ a descriptive
analysis method, while our research examines the learning
process using statistics and visualization techniques.
      </p>
    </sec>
    <sec id="sec-5">
      <title>2.3 Learning Process Analysis in CSCL</title>
      <p>
        Understanding the temporal aspect of learning is essential
as learning, by nature, is a process that occurs over time [
        <xref ref-type="bibr" rid="ref23 ref41">23,
41</xref>
        ]. In the context of CSCL, two reasons stand out to study
the temporal data of the collaboration process: 1) CSCL is a
complex social process, including characteristics of multiple
actors (e.g., learners, technology, etc.) between events over
time [
        <xref ref-type="bibr" rid="ref26 ref8">26, 8</xref>
        ]; 2) collaboration has a great potential to provide
a learning environment with the shared learning process and
shared learning activities for knowledge construction [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ].
However, such a shared process does not necessarily lead to
productive knowledge outcomes. A Previous study showed
the interrelations between cognitive events under knowledge
building discourse and uncovered the sequential pattern of
events using frequent pattern mining and latent sequential
analysis [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. In addition, another work studied how
lowperforming and high-performing groups progress through a
framework of socially shared regulation of learning and
argue the importance of recognizing challenges and strategies
in group collaboration [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ]. These two studies provided
insights for uncovering the patterns of knowledge construction
in the teacher learning context.
      </p>
      <p>
        Various methods have been used to study the process of
CSCL, mainly in inferential statistics and the
coding-andcount approach [
        <xref ref-type="bibr" rid="ref26 ref26">26, 26</xref>
        ], including social network analysis
analyzing the group interactions over time (e.g., [
        <xref ref-type="bibr" rid="ref28 ref50 ref51">51, 50, 28</xref>
        ]),
sequential analysis studying the learning event patterns (e.g,
[
        <xref ref-type="bibr" rid="ref57 ref9">9, 57</xref>
        ]), and di↵erent types of visualizations studying online
discussions (e.g., [
        <xref ref-type="bibr" rid="ref12 ref25">12, 25</xref>
        ]). Social network analysis (SNA)
served as a primary research method for studying group
interactions, characteristics of relations, and influence of these
relations in online teaching and learning [
        <xref ref-type="bibr" rid="ref36 ref40 ref46">40, 46, 36</xref>
        ]. For a
CSCL process, the participants’ presence, roles, and their
interactions with other participants in the network are critical
factors that influence the collaboration process [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ] and lead
to di↵erent levels of learning performance [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] or knowledge
construction [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
    </sec>
    <sec id="sec-6">
      <title>3. METHODOLOGY</title>
    </sec>
    <sec id="sec-7">
      <title>3.1 Research Questions</title>
      <p>The following three questions guide our analysis of the
learning process: RQ1 What are the interaction patterns of group
participants (teacher-to-teacher)and knowledge construction
(teacher to cognitive activities) during teachers’
collaborative design? RQ2 What are the sequential patterns of
cognitive activities during the individual learning journey? RQ3
What are the sequences of knowledge construction
concerning discussion contents at the group level during teachers’
collaborative design?</p>
    </sec>
    <sec id="sec-8">
      <title>3.2 Research Context</title>
      <p>
        The data was collected from a two-week teacher learning
program conducted in April 2020. The program aims to
equip teachers with sucient knowledge about teaching with
an ML-enhanced scientific discovery learning environment,
SmileyDiscovery, designing for supporting STEM teaching
and learning in K-12 contexts [
        <xref ref-type="bibr" rid="ref59">59</xref>
        ]. In this study, we mainly
focused on the second session - teacher-as-designer in which
teachers worked collaboratively to design ML-enhanced
lesson plans by using SmileyDiscovery components (Fig. 6).
Eighteen teachers were divided into four groups (noted as
group A, group B, group C, and group D) based on their
teaching grades and subjects. Each group included a
participant (for example, a1) volunteering for a mediator and
a researcher(for example r1) playing as a facilitator
(Table 1). Due to the COVID-19 lockdown, teachers
communicated with each other via ZOOM and created the lesson
plans on design canvas supported by an online collaborative
platform Lucidchart. The design canvas contains draggable
cards representing di↵erent SmileyDiscovery system
components (Fig. 6) for teachers to select for specific instructional
steps in their lesson plan. The collaborative design
activity consists of four phases: Deciding topic (10min)- teachers
select a subject matter to work on; Discussing learning
objectives (10min)- teachers identify the targeted grade levels
of students, questions of their interests, and other materials
required to fulfill the learning materials; Developing learning
activities (25min)- teachers determine the pedagogical steps
according to the 5E instructional model [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], then design the
related instructional activity in this step, and select the
appropriate SmileyDiscovery features that could support
implementations of each instructional activity; Reflecting the
design (20min)- teachers critically reflect on the current
lesson plan design and propose the desired improvement on a
specific aspect of SmileyDiscovery.
      </p>
      <p>
        The end product of teachers’ collaboration design are the
designed lesson plans that include specific instructional steps
(e.g., Fig. 7) listed along with corresponding
SmileyDiscovery components (Fig. 6). We assessed the quality of lesson
plans as the group learning outcome using an empirically
validated framework [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] (see Table 5). It was created for
measuring the quality of technology-enhanced teaching
materials built from the TPACK model [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. Two researchers
independently evaluated the lesson plans, achieving a
nearperfect agreement (Cohen’s kappa = 0.92).
      </p>
    </sec>
    <sec id="sec-9">
      <title>3.3 Data and Analytical Approach</title>
      <p>We collected recordings of four groups’ collaborative design
and transcribed the verbal data for analysis. The raw
transcripts contain 1869 turns. The social talk and incomplete
talk were dropped o↵ as they are less relevant with
knowledge construction, ended with 1765 turns in total (Group A
= 504, Group B = 328, Group C = 478, Group D = 455).</p>
      <sec id="sec-9-1">
        <title>3.3.1 RQ1: Social Network Analysis</title>
        <p>
          A social network analyzes the patterns of connections
(represented as ties or edges with strengths and directions) among
entities (individual, groups, events, etc.), represented by
nodes with sizes, and relations between entities [
          <xref ref-type="bibr" rid="ref40 ref46">40, 46</xref>
          ].
This research question investigates participants’ positions
and their interactions in groups and their engagement in
die↵rent cognitive activities involved in the knowledge
construction process. Thus, we utilized SNA to visualize the
relations and participants’ roles in the network and
quantified the relations using both the node-level measures and
network measures with the Igraph library in the R
programming language. Conceptually, a social network can be
structured as a one-mode network [
          <xref ref-type="bibr" rid="ref30">30</xref>
          ] and a two-mode
network with mode referred to the set of nodes [
          <xref ref-type="bibr" rid="ref46">46</xref>
          ]. One-mode
analysis is used to study the relations of people (e.g.,
interactions between teachers and participant’s positions and
roles). Two-mode analysis is used to analyze networks that
involve participants and events (e.g., teacher’s participation
frequency engaged in the knowledge construction process).
Before running the analysis, we segmented the transcripts to
the turn level. First, two researchers reviewed each group’s
transcript independently to code the source and target of
each turn of speech, reaching the agreement (Cohen’s Kappa
= 0.97). Second, we coded the cognitive activity for each
turn using an adapted version of the meta-cognitive
regulation coding scheme [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ] (See Table 7, 8, 9). The original
coding framework (see [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]) is developed by [
          <xref ref-type="bibr" rid="ref53">53</xref>
          ] to analyze
group knowledge construction behavior and validated in [
          <xref ref-type="bibr" rid="ref48">48</xref>
          ].
We extended it with response tokens (e.g. right, yeah, Uh
huh, and hmm), showing that a talk sent by a speaker has
been received by the audience). These response tokens are
important for analyzing discussions since they serve to
forward the course of a conversation [
          <xref ref-type="bibr" rid="ref33">33</xref>
          ]. Four low-level codes,
thus, were generated after we conducted an open coding for
the transcripts: follow-up response (FU), show uncertainty
(SU), show hearing (SH), agree with peers (AP). Two
researchers independently coded all the transcripts, reaching
a near-perfect agreement (Cohen’s kappa = 0.95).
For the one-mode analysis, we structured two data files
recording 1) an edge list (all source-target directions and each tie
weight) and 2) a node list (all participant id and their roles)
of the network. The weight of each turn is assigned
according to the level of cognitive activity: high-level (value = 2)
and low-level (value = 1). A two-dimensional co-concurrence
matrix was constructed for the two-mode analysis,
calculating each participant’s participation frequency engaged in
each type of cognitive activity. The measures of the social
network analysis are shown in the Appendix (Table 3).
        </p>
      </sec>
      <sec id="sec-9-2">
        <title>3.3.2 RQ2: Sankey Diagram</title>
        <p>
          A Sankey diagram is a visualization tool that illustrates
quantitative information of the activity flow of individual
participants by using directed, and weighted graphs [
          <xref ref-type="bibr" rid="ref42">42</xref>
          ].
Thus, we applied it to discern the patterns of cognitive
activity flow each participant engaged in across die↵rent phases
of the collaborative design. Moreover, we can explore the
sequential patterns of teachers’ engagement and role-switching
in di↵erent types of cognitive activities. To simplify the
visualization, we grouped all cognitive activities into six
categories based on the purposes of learning: plan the next step
(pl, ph), evaluate the design purpose (el, eh), enhance the
group’s conceptual understanding (vm, ei, jd, rm, sm, qm),
seek or provide basic information (si, ai), follow up
without creating much new information (sh, su, ci, fu, ap), and
conclude an episode of discussion (cd, sd). And the x-axis
represents the sequence of a participant’s cognitive
behaviors (e.g., one node with x = 7 represents the 7th cognitive
activity a participant conducted).
        </p>
      </sec>
      <sec id="sec-9-3">
        <title>3.3.3 RQ3: Lag Sequential Analysis</title>
        <p>
          Lag sequential analysis (LSA) is an analytical approach used
for determining if a statistically significant dependence
exists between sequential events [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. Many researchers have
adopted it to understanding the sequential patterns of
participants’ behaviors in learning activities and what the
desired patterns would be for learning [
          <xref ref-type="bibr" rid="ref55 ref56">55, 56</xref>
          ]. We applied it
to explore the sequential patterns of knowledge construction
occurring in the discussion contents that di↵erent groups
engaged in collaborative design activities.
        </p>
        <p>
          We first chunked the transcripts into segments, whereby
each segment corresponded to a unique topic of conversation
related to the design contents. For example, teachers were
required to identify the learning objectives of the design
lesson plan. A conversation around it, from the initiation to the
end, is considered a topic. Second, we adapted the TPACK
model [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ] to code the knowledge dimensions shown by the
specific speech of a turn (Table 6). Two researchers
independently coded the TPACK and reached an almost perfect
agreement, Cohen’s kappa = 0.95. Third, since we are
interested in understanding the sequential pattern of die↵rent
knowledge dimensions for each topic of conversation, the
duplicated codes were dropped o↵ for each segment. For
example, if TK occurs several times in one segment, we only
counted it occurred once.
        </p>
        <p>
          The LSA is performed for each group using the program
Generalized Sequential Query (GSEQ) [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. First, we run the
Pearson chi-square test to check if a significant dependence
exists between knowledge dimensions. Then, we used the
program to calculate the adjusted residual between any two
knowledge dimensions.
        </p>
      </sec>
    </sec>
    <sec id="sec-10">
      <title>4. RESULTS</title>
    </sec>
    <sec id="sec-11">
      <title>4.1 RQ1.1 Teacher-teacher interaction</title>
      <p>The sociogram of the teacher-teacher interaction (see Fig. 1)
showed di↵erent roles of participants (researcher, mediator,
teacher) and their levels of contributions to the discussion,
demonstrated by the position and size of nodes in the
network. First, for the researcher position, r1(group A) and
r4 (group D) had a higher degree of centrality (especially
out-degree centrality) than r2 (group B) and r3 (group C),
with r2 holding the least out-degree centrality, evident by
the node-level measures (see Appendix Table. 4). This
illustrated that r1 and r4 played more proactive roles in
facilitating the discussion and o↵ering guidance, whereas r2
intervened less and relied more on the mediator b4 to
facilitate the discussion. Second, for the mediator position,
d3 (out-degree centrality = 500) and c4 (out-degree
centrality = 469) played dominant roles in the group discussions,
taking responsibility for note-taking and guiding the
discussion than a1 (out-degree centrality = 215) and b3(out-degree
centrality = 260). Third, compared the out-degree
centrality for teacher participants and visual positions in the
network, b1, c5, and d4 are relatively peripheral in
contributing to the group discussions. The reason might be due to
the teacher’s insucient technology knowledge about
SmileyDiscovery. As to the closeness measure, we observed the
highest closeness of participants in group A, demonstrating
their relatively equal participation and greater mutuality in
the discussions.</p>
      <p>Comparing the one-mode network attribute (see Fig. 2), we
found all groups shared a relatively high density value,
between 30-40%. This indicated highly active and cohesive
participation in the group discussion across four groups, with
no isolated participants. On average, group C (avg.degree
= 360) and group D (avg.degree = 394) had a higher
frequency of group interactions than group A (avg.degree =
320) and group B (avg.degree = 268). However, the
contribution among participants was rather equal for group A and
group B, indicated by the smaller standard deviation(SD)
of the degree centrality-12.40 and 13.50 respectively-
compared to that of group C (SD = 26.44) and group D (SD
= 21.05). Reciprocity refers to the balance of the network.
The values of all groups are larger than 0.5, showing a
relatively high mutual communication between participants.
Compared the one-node network attributes with the scores
of teacher-designed lesson plans, group C and group D with
high avg degrees and high density and more proactive roles
of researcher and mediator had better final sores. Although
not tested statistically, the association might demonstrate
a need for explicit facilitation and mediation training of
researchers and mediators in the future.</p>
    </sec>
    <sec id="sec-12">
      <title>4.2 RQ1.2 Teacher-cognitive activity interaction</title>
      <p>The two-mode network attributes Table 2 showed the
distribution of low and high-level cognitive activity frequency
during teachers’ collaborative design. While group A had
the highest number of cognitive activity events (N = 504),
the ratio of engagement in the high-level cognitive activities
(37.70% ) was smaller than that of Group C (44.98%) and
group D (43.74%). Group B had the slightest participation
in cognitive activities (N = 328) and the high-level cognitive
activities (ratio = 37.20%). This indicates that the better
quality of the lesson plans designed by group C and group D
might result from the high-quality discussion they engaged
in the knowledge construction process.</p>
      <p>The two-mode sociogram (Fig. 2) shows interaction patterns
of the participants with the cognitive activities, with the
size of the participant node indicating the degree of
participation. Group A had a relatively equal distribution of
cognitive activities. Participants b1 and c5 had the
relatively less engagement compared to the other participants
in their groups. Group D was unequal as the mediator
d3 undertook more cognitive activities than other
participants.Furthermore, participants of group C shared a
relatively higher frequency of the high-level cognitive activity;
because the nodes of cognitive activities are near each other
and surround all participant nodes. The researcher and
mediator in group C both actively participated in high-level
planning (PH) and explore ideas (EI). For group D, we
observed a proactive role of mediator in facilitating
discussions, demonstrated by d4’s engagement in the high-level
cognitive activities such as QM- Questioning, RM- reflect
meaning, and PH- high-level planning. Also, the mediator
engaged in low-level cognitive activities for responding to
the participants and transitioning the discussion, as SI- seek
information, SD- stop discussion, and SU- show uncertainty.
We argue that for future study, the researcher or mediator
should be oe↵red a more explicit strategy to help facilitate
the discussion and actively participate in the collaborative
design to support participants engaging in high-level
cognitive activities.
4.3</p>
    </sec>
    <sec id="sec-13">
      <title>RQ2 Sequential patterns of cognitive activities</title>
      <p>Preparation phase. Die↵rent from the rest phases, there
is no enhance of conceptual understanding during this phase
(Fig. 3). There are two main patterns identified in
participants’ cognitive flows: (1) some participants mainly focused
on seeking information or providing information; (2) some
participants (e.g., researchers) illustrated how the next step
should take place and evaluated the current progress.
The phases for learning objective setup, learning
activity development and reflection. During these three phases
(Fig. 4), most participants switched frequently between the
role to enhance the group’s conceptual understanding
(‘enhance’), the role to seek or add basic information (‘info’),
and the role to follow up with someone else (‘follow’). Fig. 4
showed that, during these three phases, a few participants
generated much longer cognitive activity flows than other
participants (long-tail flows). Those participants who
contributed more to the discussions tended to be more
constantly and frequently engaged in cognitive activities that
enhance the group’s conceptual understanding (‘enhance’).
This indicates that individual participant’s frequency of the
cognitive activities might be positively related to one’s
contribution to the group’s conceptual understanding.</p>
    </sec>
    <sec id="sec-14">
      <title>4.4 RQ3 Sequential patterns of TPACK transition in knowledge construction</title>
      <p>Fig. 5 illustrates the patterns of TPACK transition in
knowledge construction of di↵erent groups. The curve indicates
the sequence between two knowledge dimensions and the
values are the adjusted residual of the sequential transition.
Any sequential transition below 1.96 is dropped o↵ as it
indicates a non-significance between two knowledge dimension.
Also, the information of group B is not presented here
because the overall pattern is not significant assessed by the
chi-sqaure test (p = 0.97). By comparing the knowledge
construction patterns of group A, group C, and group D
with the quality of their design artifacts, we found the level
of complexity of TPACK transition patterns in knowledge
construction corresponds to the groups’ outcomes.</p>
      <p>Group C (with the highest group outcome) shows the most
complex patterns of knowledge transition, including six sets
of transitions with six knowledge dimensions involved (TK–
&gt;TPK, CK–&gt;TCK, CK–&gt;PCK, TPK–&gt;TK, PCK–&gt;CK,
PCK–&gt;PK). Group D (the second-highest group outcome)
consists of four sets of transitions with five knowledge
dimensions involved (PCK–&gt;PK, PK–&gt;TPK, TCK–&gt;CK, CK–
&gt;TCK). Compared with group C, group D lacks the
transition between TK with any other knowledge dimensions.
That means teachers in group D were more likely to discuss
TK exclusively for a design component than connecting it
to others. Group A (the third highest group outcomes) has
a simpler pattern, containing four sets of knowledge
construction with four knowledge dimensions (TK–&gt;TPK, CK–
&gt;TCK, TPK–&gt;TK, TCK–&gt;CK). Compared with group C
and group D, group A lacks PK and PCK as well as their
transitions to other knowledge dimensions. Group B (the
lowest group outcomes) does not show significant
dependence between any two knowledge dimensions. According to
the LSA results, the higher group outcomes, the more
complex TPACK transition patterns displayed in the knowledge
construction process. Nevertheless, given the small sample
data, further studies are needed to validate this finding.</p>
    </sec>
    <sec id="sec-15">
      <title>DISCUSSION</title>
      <sec id="sec-15-1">
        <title>Effective group discussion and the role of participants.</title>
        <p>
          Group C and group D outperformed group A and group B
as for the discussion quality, and the result is potentially
associated with the previously-graded design artefacts scores,
with lesson plan scores (group C &gt; group D &gt; group A
&gt; group B). The result, consistent with the previous
literature, indicates that groups engaged in a large amount of
high-level conceptual understanding, elaboration, and
justification of content material were also associated with better
overall conceptual understanding demonstrated in the end
learning product [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]. We expected to see high group
density, active participation, and high-level knowledge
construction To promote a high-quality discussion [
          <xref ref-type="bibr" rid="ref22 ref53">22, 53</xref>
          ].
The mediator and the researcher might play a pivotal role
in promoting the discussion quality. Group C and group
D’s mediators (c4 and d3) played a dominant role in
directing the discussions and taking notes for the whole group,
demonstrated by their engagement in planning, evaluation,
and direction while group A had a relatively equal
engagement in the cognitive activities. Previous literature showed
that assigning students with leadership roles (e.g.,
facilitators) could empower students to engage in the discussions
[
          <xref ref-type="bibr" rid="ref39">39</xref>
          ], which echoed with the case in group C and group D,
but how to empower and engage the peripheral members
would be a future discussion. Also, discussion facilitation
strategies make a significant di↵erence in the extent of
collaboration [
          <xref ref-type="bibr" rid="ref40 ref49">40, 49</xref>
          ]. In our case, researchers who take an
active role in facilitation and help address the technological
and content knowledge gap of participants promoted
better quality of discussion. Thus we need to explicitly train
mediators and researchers to facilitate discussions.
        </p>
      </sec>
      <sec id="sec-15-2">
        <title>Engage learners in more meaningful discussion. The</title>
        <p>
          Sankey diagrams show that teachers who participated in the
discussion constantly and frequently engaged in more
activities enhancing the group’s conceptual understanding. One
interpretation is that note-takers in each group who had to
talk more throughout the design activity needed to take
responsibility for the learning activity construction and
reflection; in turn, they got involved in more cognitive activities
that enhance the conceptual understanding. Another
potential explanation is that participants who produced more
dialogues of “enhance” had more opportunities to explore
their ideas further. This suggests the facilitation is needed
to prompt learners with fewer discourses or fewer “enhance”
cognitive activities to share their ideas with the group.
Knowledge transition in group discussions contributes
to the TPACK development. The results of the lag
sequential analysis suggest that the transitions between the
subdimensions of TPACK in collaborative design might
contribute to groups’ learning outcomes. This finding adds new
evidence to the research of TPACK, showing that grasping
the connections between TK, PK, and CK is significant for
developing an integrative understanding of TPACK.
Previous research has found the impacts of TK, PK, and CK on
teachers’ TPACK by a regression model using pre-post
assessments [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. Few studies, however, have examined it taking
a process perspective. Given the importance of collaborative
design in developing TPACK [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ], our research suggests the
design contents are better to be addressed by discussing the
knowledge dimensions and the related sub-dimensions. For
example, when teachers are engaged in talking about TPK
for a while, the facilitator can intervene and guide
teachers to discuss TK or/and PK related to the TPK. Such a
process provides teachers with opportunities to understand
each dimension of TPACK and its connections. Our further
step is to conduct a qualitative analysis of the transcript
data, primarily how knowledge transition occurred in some
interaction units but not others. The findings generated can
o↵er more insights on how to facilitate teachers’
collaborative design activities.
        </p>
      </sec>
    </sec>
    <sec id="sec-16">
      <title>APPENDIX</title>
      <p>Number and ratio of low-level cognitive activities in the
network.</p>
      <p>Number and ratio of high-level cognitive activities in the
network.</p>
      <p>Two-mode Network</p>
      <p>Roles
Reflect on meaning
Follow-up response
Confirm information
Show uncertainty
Show hearing
Seek meaning
Volunteer meaning
Conclude from discussions
Codes
Evaluate without justification
Evaluate with justification</p>
    </sec>
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