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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">ijese</journal-id>
      <journal-title-group>
        <journal-title>Interdisciplinary Journal of Environmental and Science
Education</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2633-6537</issn>
      <publisher>
        <publisher-name>Modestum</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.29333/ijese/19450</article-id>
      <title-group>
        <article-title>Secondary school students’ engagement and conceptual
understanding of chemistry concepts: Examining the association with
riddle-based learning</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <contrib-id contrib-id-type="orcid">0000-0002-7119-1225</contrib-id>
          <name>
            <surname>Moju</surname>
            <given-names>Monday</given-names>
          </name>
          <email>mmonday@vt.edu</email>
          <xref ref-type="aff" rid="aff-1" />
          <xref ref-type="corresp" rid="cor-true">
            <sup>*</sup>
          </xref>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0009-0000-3077-8647</contrib-id>
          <name>
            <surname>Adejumo</surname>
            <given-names>Blessing Mary</given-names>
          </name>
          <xref ref-type="aff" rid="aff-2" />
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Shakiru</surname>
            <given-names>Jimoh Ibiyinka</given-names>
          </name>
          <xref ref-type="aff" rid="aff-3" />
        </contrib>
        <aff id="aff-1">
          <label>1</label>
          <institution-wrap>
            <institution>Department of Curriculum and Instruction, Virginia
Polytechnic Institute and State University, Blacksburg, VA,
USA</institution>
          </institution-wrap>
        </aff>
        <aff id="aff-2">
          <label>2</label>
          <institution-wrap>
            <institution>Department of Science and Technology Education, Faculty of
Education, Obafemi Awolowo University, Ile-Ife, Osun State,
NIGERIA</institution>
          </institution-wrap>
        </aff>
        <aff id="aff-3">
          <label>3</label>
          <institution-wrap>
            <institution>Lagos State Government, Ikeja, Lagos State,
NIGERIA</institution>
          </institution-wrap>
        </aff>
      </contrib-group>
      <pub-date date-type="pub" publication-format="electronic" iso-8601-date="2026-09-28">
        <day>28</day>
        <month>9</month>
        <year>2026</year>
      </pub-date>
      <volume>22</volume>
      <issue>4</issue>
      <elocation-id>e2622</elocation-id>
      <permissions>
        <copyright-statement>Copyright © 2026 by Author/s and Licensed by
Modestum DOO, Serbia.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/">
          <license-p>This is an open access article distributed under the Creative
Commons Attribution License which permits unrestricted use,
distribution, and reproduction in any medium, provided the original work
is properly cited.</license-p>
        </license>
      </permissions>
      <abstract>
        <p>
Disengagement and lack of conceptual understanding of abstract chemistry
concepts remain among the biggest problems faced in secondary chemistry
lessons. It is even more exacerbated by the tendency to associate
engagement with mere participation without considering the cognitive and
emotional components of engagement and incorporating them in the
learning process. To deal with the issue, the present study analyzed the
effect of the application of riddle-based learning as an instructional
strategy aimed at enhancing engagement and conceptual understanding of
the mole concept in secondary school chemistry students. With the use of
a pre-/post-test design, riddle-based instruction was employed in a
sample of 34 senior secondary school chemistry students during one
academic term. The data for the analysis were collected through an
assessment of conceptual understanding, an engagement questionnaire, and
qualitative student and teacher reflections on riddles. Results showed a
statistically significant improvement in cognitive (Z = -2.042, p =
.041), behavioral (Z = -2.023, p = .043), and emotional engagement (Z =
-2.072, p = .038) after the intervention, with medium effect sizes (r =
.35 to .36). Moreover, according to the results of paired-samples
t-test, a statistically significant increase in conceptual understanding
(pre-test mean [M] = 32.40, standard deviation [SD] = 14.22 to post-test
M = 45.60, SD = 13.54) was observed, t(33) = -3.17, p = .003, dz = 0.54.
Thematic analysis of qualitative reflections revealed that the use of
riddles was linked to deeper thinking, increased participation and
discussion, and higher levels of curiosity and enjoyment as well as
frustration. Therefore, riddles could be considered a low-cost
student-centered instructional strategy in chemistry lessons.
</p>
      </abstract>
      <kwd-group kwd-group-type="author">
        <kwd>riddle-based learning</kwd>
        <kwd>student engagement</kwd>
        <kwd>conceptual understanding</kwd>
        <kwd>mole concept</kwd>
        <kwd>chemistry education</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="introduction">
      <title>INTRODUCTION</title>
      <p>Student engagement is recognized as a fundamental prerequisite for
  productive learning and is emphasized in many national and
  international curriculum frameworks. Frameworks like the framework for
  K-12 science education developed by the National Research Council
  (2012), the next generation science standards (NGSS Lead States,
  2013), and the project 2061 (American Association for the Advancement
  of Science, 1993) highlight the necessity of engaging students in
  active scientific practices instead of mere content acquisition. In
  that way, engagement is perceived as a necessary condition for
  developing students’ conceptual understanding, scientific literacy,
  and transferable skills (Lawson &amp; Lawson, 2020; Reeve et al.,
  2020). Nevertheless, despite all the efforts of curriculum writers,
  student disengagement characterized by lack of attention, motivation,
  and emotional connection to learning activities is one of the
  persistent challenges faced in secondary science classes. The
  disengagement results in students’ lack of conceptual understanding
  and interest in sciences (Lawson &amp; Lawson, 2020; Reeve et al.,
  2020; Sinatra et al., 2015). Hence, educational researchers pay
  increased attention to the role of engagement in achieving conceptual
  understanding and better performance in science (Bundick et al.,
  2014).</p>
      <p>Engagement is viewed by researchers as a multi-dimensional
  construct that includes emotional, cognitive, and behavioral
  dimensions (Lei et al., 2018). According to Lei et al. (2018),
  emotional engagement represents students’ interest, enjoyment, and
  connection to the lesson activities; cognitive engagement implies the
  investment of cognitive effort, strategic thinking, and persistence in
  comprehension of complex phenomena; and behavioral engagement is
  defined as participation and involvement in classroom activities.
  While some scholars suggest that emotional engagement serves as a
  precondition for cognitive and behavioral engagement in learning
  activities (Linnenbrink-Garcia &amp; Pekrun, 2011; Naibert et al.,
  2022), other experts find that cognitive and behavioral engagement
  have a more direct impact on conceptual understanding (Lei et al.,
  2018). In chemistry in particular, the multi-dimensional view is
  strengthened by the call for researchers to identify what aspect of
  engagement they investigate and how it is measured (Lawrie, 2023) as
  well as validated activity-level measures of behavioral, cognitive,
  and emotional engagement (Naibert et al., 2022; Nayyar et al., 2024).
  All of the above shows that successful learning requires instructional
  strategies aimed at fostering all dimensions of engagement.</p>
      <p>The association between engagement and conceptual understanding
  becomes obvious in with science education. Conceptual understanding
  goes beyond knowing the facts and includes comprehension of the
  underlying principles, relationships and applying knowledge in various
  contexts (Barlow &amp; Brown, 2020; Çali et al., 2024; Darmofal et
  al., 2002; Vaiopoulou et al., 2023; Wang &amp; Degol, 2014). For
  instance, in chemistry, conceptual understanding implies that students
  interpret chemical equations as representations of particle changes
  and not merely as balancing procedure. Conceptual understanding
  emerges when students are engaged in learning experiences cognitively,
  emotionally, and behaviorally. According to meta-analyses and
  large-scale researches, instructional strategies that promote
  engagement lead to bigger conceptual gains compared to traditional
  lecturing (Chi &amp; Wylie, 2014; Freeman et al., 2014; Hake, 1998).
  Without proper engagement, students have to memorize facts that limit
  their capacity to apply scientific knowledge in the real life and
  solve the problems connected with climate change, health, and
  technology innovations (OECD, 2019; Sinatra et al., 2015).</p>
      <p>Learning engagement in chemistry education is a particularly
  difficult task. Chemistry is a discipline characterized by abstract
  concepts, symbolism, and phenomena that are not observable by students
  (Taber, 2001; Treagust &amp; Duit, 2008). A number of misconceptions
  formed on the basis of chemistry concepts, including misconceptions
  related to the mole concept, are not related to the deficiency of
  information but to students’ inappropriate application of commonsense
  heuristics to particulate-level phenomena (Talanquer, 2006). Thus,
  chemistry becomes perceived as a difficult subject, which leads to
  decreased engagement and misconceptions (Brakhage et al., 2023;
  Steidtmann et al., 2022). In particular, problems in engaging students
  emerge at the point of the first formal contact with the discipline
  when initial disengagement becomes formative. Difficulties with the
  mole concept have been identified in studies investigating students’
  reasoning while solving mole problems (Pratiwi et al., 2023),
  underscoring the need for instructional strategies that make students’
  reasoning visible and discursive rather than purely computational.</p>
      <p>Conceptual understanding in chemistry is often framed within the
  theory of conceptual change, which holds that learners revise or
  replace naive or incomplete conceptions when confronted with
  information their existing schemas cannot readily accommodate (Posner
  et al., 1982). From this perspective, effective instruction must first
  surface students’ existing conceptions and then create the cognitive
  tension needed to prompt their revision (Vosniadou, 2013). Riddles, by
  presenting familiar language in unfamiliar or paradoxical
  combinations, may function as precisely this kind of
  anomaly-generating device, inviting students to test, discard, or
  refine their conceptions of abstract quantities such as the mole.</p>
      <p>Student-centered pedagogies have been widely promoted as effective
  means of addressing disengagement in science classrooms. Approaches
  such as inquiry-based learning, problem-solving, and collaborative
  activity encourage learners to construct understanding actively rather
  than receive information passively (Levin et al., 2009; Lin et al.,
  2021). Active involvement of this kind is central to genuine classroom
  engagement. However, science teachers have been reported to conflate
  behavioral compliance, such as note-taking or quiet attention, with
  genuine engagement, resulting in instructional designs that fail to
  promote meaningful understanding (Linnenbrink-Garcia &amp; Pekrun,
  2011). This gap highlights the need for pedagogical strategies that
  simultaneously stimulate curiosity, promote reasoning, and sustain
  participation in chemistry learning.</p>
      <p>Within this context, riddle-based learning emerges as a promising
  yet underexplored instructional approach for promoting student
  engagement. Riddles are cognitively demanding tasks that present
  information in metaphorical, paradoxical, or puzzling forms, requiring
  learners to interpret clues, activate prior knowledge, and engage in
  analytical reasoning to arrive at solutions (Demirel &amp; Gül, 2021;
  Frye et al., 2015; Luo et al., 2004). Studies across disciplines
  suggest that riddles foster curiosity, enjoyment, and collaborative
  dialogue while supporting higher-order thinking and conceptual
  connection. Research in mathematics education, for instance, shows
  that riddle-rich classrooms are associated with deeper understanding
  and greater student enjoyment than conventional instruction (Farnell,
  2017). Similarly, studies in language arts and general science
  education suggest that riddles can function as low-stakes diagnostic
  tools, helping teachers uncover student misconceptions while
  encouraging learners to articulate and refine their reasoning (Mokaya
  &amp; Kebaya, 2022; Wardani et al., 2019). Demirel and Gül (2021)
  further reported associations between riddle use and young children’s
  language development and problem-solving capacity. Together, these
  findings point to the potential of riddles to support conceptual
  understanding by stimulating curiosity, activating prior knowledge,
  and engaging students in analytical reasoning as they work to resolve
  cognitively challenging problems.</p>
      <p>Emerging evidence suggests that puzzle-based activities can support
  students’ engagement and cognitive development. In mathematics
  education, the use of puzzles has been associated with increased
  interest and the development of mathematical abilities, including
  logical and critical thinking (Gorev et al., 2018). In computer
  science education, embedding riddles into instruction has been
  associated with improved algorithmic reasoning and increased student
  interest (Chaabi et al., 2025). In chemistry specifically, engagement
  has also been linked to instructional design choices such as
  context-based and simulation-supported instruction (Demelash et al.,
  2024). These findings indicate that riddles and related puzzle-based
  approaches can serve as accessible, low-cost tools for promoting
  cognitive challenge. Despite this potential, the systematic
  integration of riddles as a structured, student-centered instructional
  strategy in secondary chemistry education remains limited.</p>
      <p>From a theoretical perspective, riddle-based learning aligns
  closely with Vygotsky’s (1978) socio-cultural theory of learning,
  which emphasizes the role of social interaction, language, and
  cultural tools in the development of higher-order thinking. Learning,
  according to this theory, occurs within the zone of proximal
  development (ZPD), where learners, with guidance and collaboration,
  can accomplish tasks that exceed their independent capabilities.
  Riddles create cognitive tension by presenting challenges that are
  just beyond students’ immediate understanding, encouraging peer
  discussion, teacher scaffolding, and dialogic sensemaking (Gachanja
  &amp; Kebaya, 2013). Through guided exploration and the gradual
  withdrawal of support, learners can internalize concepts, transforming
  socially mediated reasoning into individual understanding (Mercer et
  al., 2004; Palincsar, 1998).</p>
      <p>In chemistry classrooms, riddles may also function as semiotic
  tools by embedding abstract ideas within familiar language, metaphor,
  and symbolic representation. Such representations can reduce cognitive
  load, support meaning-making, and enhance retention by helping
  students link new concepts to existing knowledge structures (Frye et
  al., 2015). When strategically integrated into instruction, riddles
  may therefore be associated with emotional engagement through
  curiosity and enjoyment, cognitive engagement through reasoning and
  problem-solving, and behavioral engagement through discussion and
  collaboration.</p>
      <p>Despite growing recognition of the importance of engagement for
  conceptual understanding, and despite evidence supporting riddle-based
  approaches in other disciplines, there is a notable lack of empirical
  research examining riddle-based learning in secondary chemistry
  contexts. Little is known about how riddles relate to different
  dimensions of students’ engagement or how that engagement, in turn,
  relates to conceptual understanding of chemistry concepts. Addressing
  this gap is important for advancing both theory and practice in
  chemistry education, and for supporting students’ understanding of and
  interest in chemistry.</p>
      <p>Accordingly, the present study investigates riddle-based learning
  as a structured, student-centered instructional strategy in secondary
  school chemistry. Grounded in socio-cultural theory, the study
  examines how riddle-based instruction supports students’ emotional,
  cognitive, and behavioral engagement, and students’ conceptual
  understanding of the mole concept in chemistry. In doing so, the study
  offers insight into how playful yet cognitively demanding
  riddle-infused instructional approaches may support engagement and
  meaningful learning in chemistry education. The study addressed the
  following research questions:</p>
      <list list-type="order">
        <list-item>
          <p>How is riddle-based learning associated with students’
      emotional, cognitive, and behavioral engagement during chemistry
      instruction?</p>
        </list-item>
        <list-item>
          <p>What is the association of riddle-based learning with secondary
      school students’ conceptual understanding of selected chemistry
      concepts?</p>
        </list-item>
      </list>
    </sec>
    <sec id="method">
      <title>METHOD</title>
      <p>This study used a multi-method research design that integrated
  qualitative and quantitative approaches to provide a holistic
  understanding of the research problem (Almalki, 2016; Vivek &amp;
  Nanthagopan, 2021). The rationale for a multi-method design lies in
  its capacity to capture the complex and multifaceted nature of student
  engagement and conceptual understanding (Vivek &amp; Nanthagopan,
  2021). Quantitative data were used to gain insight into students’
  levels of conceptual understanding and dimensions of engagement, while
  qualitative data provided rich, contextualized accounts of students’
  cognitive, behavioral, and emotional experiences in the classroom. The
  qualitative component supported explanatory interpretation by
  illuminating how engagement manifested during instruction.</p>
      <sec id="context-and-participants">
        <title>Context and Participants</title>
        <p>The study was conducted in Lagos State, Nigeria, which is
    administratively divided into six educational districts and operates
    under a national curriculum supervised by the Lagos State Ministry
    of Education. The Nigerian education system follows a 9-3-4
    structure: nine years of free and compulsory basic education, three
    years of senior secondary schooling, and four years of tertiary
    education (Fafunwa, 2018). After completing basic and senior
    secondary education, students may pursue either technical education
    or university study, depending on their interests and career
    goals.</p>
        <p>Participants were students transitioning from basic education to
    the first year of senior secondary school (SSS1) at a public high
    school in Educational District VI. At this level, students begin to
    engage with distinct academic disciplines, including chemistry,
    physics, and biology, alongside commercial and arts subjects, and
    are expected to specialize in one of three tracks: science,
    commerce, or arts. Participants in this study majored in science,
    were offered chemistry during the first term of the 2025 academic
    session and had no prior exposure to riddle-based learning, making
    them suitable for examining its instructional relevance. The age
    range of participants was 12 to 14 years. Students at the point of
    first exposure to chemistry are often discouraged by the perception
    that the subject is abstract and difficult to grasp; alongside
    mathematics, chemistry is widely perceived as a gateway to STEM
    disciplines at higher levels of education (Zhao, 2022). The present
    study accordingly targeted students who had opted for the science
    track, with the specific aim of examining their engagement in
    chemistry. A total of 34 SSS chemistry students participated,
    selected as an intact class; ethical approval and informed consent
    were obtained prior to data collection.</p>
      </sec>
      <sec id="ethical-considerations">
        <title>Ethical Considerations</title>
        <p>Ethical approval for the study was obtained prior to data
    collection from the relevant institutional and school ethics review
    authority, and permission to conduct the study was granted by the
    school administration in Educational District VI, Lagos State.
    Because participants were minors (12-14 years old), written informed
    consent was obtained from parents or legal guardians, and student
    assent was obtained directly from participants before the engagement
    questionnaire, achievement test, and reflection instruments were
    administered. Students were informed that participation was
    voluntary, that declining to participate would not affect their
    standing in the class, and that their responses would be anonymized.
    The classroom teacher, who administered the instruments as part of
    regular instruction, collected the paper-based responses and
    forwarded scanned copies to the first author; no student names or
    other identifying information were retained in the analytic
    dataset.</p>
      </sec>
      <sec id="instructional-intervention">
        <title>Instructional Intervention</title>
        <p>Riddle-based learning was implemented as a structured
    instructional strategy rather than as an isolated classroom
    activity. Riddles were deliberately integrated into regular
    chemistry lessons and aligned with the prescribed curriculum topics
    for the term. Each riddle was designed to introduce or reinforce key
    chemistry concepts by presenting them in metaphorical or
    problem-oriented forms that required reasoning and discussion.
    Riddles were generated using a generative artificial intelligence
    tool (ChatGPT-5) and subsequently reviewed by the classroom teacher
    and the researcher to verify content accuracy, curriculum alignment,
    and age appropriateness. This review process helped to ensure that
    the resulting riddles functioned as meaningful cognitive prompts
    rather than as entertainment devices. A sample of the
    riddle-modified syllabus is presented in <bold><xref ref-type="table" rid="table-393">Table 1</xref></bold>.</p>
      </sec>
      <sec id="adapting-the-5e-instructional-model-for-riddle-based-learning">
        <title>Adapting the 5E Instructional Model for Riddle-Based
    Learning</title>
        <p>Instruction was organized around the 5E instructional model
    (Bybee et al., 2006). Riddles were embedded in the engage and
    explore phases to stimulate curiosity, activate prior knowledge, and
    encourage collaborative learning, and in an application, phase drawn
    from the model’s elaborate stage, in which students solved mole
    problems and composed riddles of their own. The explain and evaluate
    phases proceeded as in conventional instruction and were not
    modified by the intervention. The teacher scaffolded instructions to
    support learning within students’ ZPD. Riddle-based activities were
    infused into the chemistry syllabus throughout the term, ensuring
    that students encountered them in every chemistry topic. <bold><xref ref-type="table" rid="table-394">Table 2</xref></bold> presents the three riddle-adapted phases.</p>
      </sec>
      <sec id="instruments-and-data-collection-procedures">
        <title>Instruments and Data Collection Procedures</title>
        <p>A multi-method data collection approach was used to capture the
    association of riddle-based learning with students’ engagement and
    conceptual understanding. Riddles functioned as mediating tools
    within students’ ZPD, prompting dialogue, reflection, and
    collaboration. Data were collected through a student engagement
    survey, a pre-/post-test achievement test, and qualitative
    reflections from students and the classroom teacher.</p>
        <sec id="student-engagement-survey">
          <title>Student engagement survey</title>
          <p>To assess students’ engagement, a Likert-scale survey
      instrument adapted from Burch et al. (2015) was administered.
      Items were organized around three dimensions of engagement
      (cognitive, behavioral, and emotional), with five items per
      dimension. Students rated their agreement with each item on a
      four-point scale (1 = strongly disagree, 4 = strongly agree).
      Emotional engagement items addressed interest and enjoyment;
      cognitive engagement items addressed effort, strategy use, and
      persistence; behavioral engagement items addressed participation
      and task involvement (Burch et al., 2015). Items underwent a
      validation process to ensure clarity, relevance, and alignment
      with the constructs under study. A pilot test was then conducted
      with a comparable group of students to assess reliability and
      usability; pilot data indicated internal consistency reliabilities
      of α = .78, .84, and .88 for the cognitive, emotional, and
      behavioral subscales, respectively. The instrument was
      administered twice, at the beginning and end of the riddle-based
      learning intervention, to capture change in engagement over the
      instructional period. All 34 participants completed the survey on
      both occasions. The teacher collected the paper-based responses
      and forwarded scanned copies to the first author at the end of the
      intervention.</p>
        </sec>
        <sec id="conceptual-understanding-test">
          <title>Conceptual understanding test</title>
          <p>Students’ conceptual understanding was assessed using a 50-item
      test combining multiple-choice and free-response questions
      targeting foundational knowledge of the mole concept. Each item
      was scored dichotomously (1 point for a fully correct response, 0
      points otherwise), yielding a maximum obtainable score of 50
      points; this scoring approach was intended to ensure consistency
      and transparency in evaluating conceptual understanding. All items
      were drawn from a standardized examination item bank maintained by
      the West African Examinations Council. The items were modified to
      reflect the difficulty level appropriate for the participants and
      administered before and after the riddle-based learning
      intervention. The use of multiple-choice items was considered
      appropriate because they allowed objective measurement across a
      range of understanding while facilitating statistical analysis of
      the resulting data (Haladyna et al., 2002).</p>
        </sec>
        <sec id="qualitative-reflection">
          <title>Qualitative reflection</title>
          <p>To complement the quantitative data, students responded to
      open-ended questions asking them to reflect on how the riddle
      activities influenced their engagement and conceptual
      understanding of the mole concept and their interest in chemistry.
      Questions were designed to elicit responses reflecting deeper
      thinking, conceptual clarity, and real-world connection. For
      example, students were asked, “When you solved chemistry-related
      riddles, how did it help you explain mole concepts?” Follow-up
      prompts encouraged elaboration on how riddles related to their
      understanding of the mole concept. Students wrote their
      reflections on paper, which the teacher collected and scanned to
      the first author.</p>
        </sec>
        <sec id="teacher-reflection">
          <title>Teacher reflection</title>
          <p>In addition to the student data sources, the classroom teacher
      provided a one-page reflection on the relationship between
      riddle-based learning and students’ engagement and understanding
      of the mole concept. This reflection was used to triangulate the
      data and to provide additional insight into the perceived
      effectiveness of riddle-based learning in chemistry.</p>
        </sec>
      </sec>
      <sec id="data-analysis">
        <title>Data Analysis</title>
        <p>The multi-method design allowed both quantitative and qualitative
    analytic approaches to examine the association of riddle-based
    learning with students’ engagement and conceptual understanding.
    Students’ engagement was analyzed using the Wilcoxon signed-rank
    test, and the achievement test was analyzed using a paired-samples
    t-test. Students’ responses to open-ended questions on dimensions of
    engagement were analyzed thematically to provide deeper insight into
    their learning experiences.</p>
        <sec id="students-engagement">
          <title>Students’ engagement</title>
          <p>A Wilcoxon signed-rank test was conducted to examine changes in
      students’ engagement following the riddle-based chemistry learning
      experience. This nonparametric approach was adopted because the
      Likert-scale data violated the normality assumption and the sample
      size was small (Mircioiu &amp; Atkinson, 2017; Pett, 2016). The
      test was used to determine the difference between paired pre- and
      post-intervention engagement median (Mdn) scores across the three
      dimensions of engagement: cognitive, behavioral, and emotional. To
      support interpretation of practical significance alongside
      statistical significance, effect size r was calculated for each
      dimension using the standard formula <italic>r = Z/√N</italic>
      (Fritz et al., 2012), where <italic>N</italic> refers to the
      number of observations (N = 34 for each dimension).</p>
        </sec>
        <sec id="conceptual-understanding">
          <title>Conceptual understanding</title>
          <p>To understand the association of riddle-based learning with
      students’ conceptual understanding of the mole concept, a
      paired-samples t-test was conducted to compare pretest and
      posttest scores. Normality of the pretest and posttest score
      distributions was assessed using the Shapiro-Wilk test; results
      supported the assumption of normality and justified the use of the
      paired-samples t-test. Effect size was calculated using Cohen’s d
      for paired samples (Cohen, 1988). Significance was set at α =
      .05.</p>
        </sec>
        <sec id="qualitative-data-analysis-procedure">
          <title>Qualitative data analysis procedure</title>
          <p>Students’ written reflections and the teacher’s reflective
      journal were analyzed using thematic analysis (Braun &amp; Clarke,
      2006). Because the engagement construct had already been
      operationalized quantitatively along cognitive, behavioral, and
      emotional dimensions, these three dimensions were used as an a
      priori coding framework, consistent with a deductive approach to
      thematic analysis (Braun &amp; Clarke, 2006). The first author
      read all reflections repeatedly for familiarization and then coded
      each excerpt according to the dimension(s) of engagement it
      reflected: statements about thinking or reasoning were coded as
      cognitive; statements about participation, discussion, or
      collaboration were coded as behavioral; and statements about
      curiosity, enjoyment, confidence, or frustration were coded as
      emotional. A subset of the data was independently coded by the
      second author, and any discrepancies were discussed and resolved
      by consensus to strengthen the trustworthiness of the coding. A
      fourth, inductively derived category, challenges associated with
      riddle-based learning, was retained because it recurred saliently
      across both student and teacher accounts without mapping cleanly
      onto the three engagement dimensions. Verbatim quotations may
      contain grammatical errors because students’ comments are
      reproduced as written, consistent with recommended multi-method
      reporting practice in education research (Creswell &amp; Plano
      Clark, 2018).</p>
        </sec>
      </sec>
    </sec>
    <sec id="findings">
      <title>FINDINGS</title>
      <p>Chemistry is widely regarded as an abstract subject that presents
  considerable challenges for learners. Prior studies suggest that these
  challenges are related to limited student engagement, which in turn is
  associated with difficulty grasping chemistry concepts. This study
  reports findings addressing the study’s two research questions:</p>
      <list list-type="order">
        <list-item>
          <p>How is riddle-based learning associated with students’
      emotional, cognitive, and behavioral engagement during chemistry
      instruction?</p>
        </list-item>
        <list-item>
          <p>What is the association of riddle-based learning with students’
      conceptual understanding of selected chemistry concepts?</p>
        </list-item>
      </list>
      <p>Findings are presented in two parts. First, survey data are
  analyzed to examine the association of riddle-based learning with
  behavioral, cognitive, and emotional engagement, supported by excerpts
  from students’ qualitative reflections and the teacher’s reflection.
  Second, paired-samples t-test results are presented to examine changes
  in students’ conceptual understanding of the mole concept from pretest
  to posttest.</p>
      <sec id="riddle-based-learning-and-students-engagement-in-chemistry">
        <title>Riddle-Based Learning and Students’ Engagement in
    Chemistry</title>
        <p>A Wilcoxon signed-rank test was conducted for each dimension of
    engagement; results are presented in <bold><xref ref-type="table" rid="table-395">Table 3</xref></bold>.</p>
        <sec id="cognitive-engagement">
          <title>Cognitive engagement</title>
          <p>For the cognitive dimension, the Wilcoxon signed-rank test
      indicated a statistically significant difference between the Mdn
      score before the intervention (Mdn = 15) and after the
      intervention (Mdn = 20), Z = -2.042, p = .041, r = .35, a medium
      effect. This result indicates an association of riddle-based
      learning with cognitive engagement in chemistry. Students’
      reflections corroborated this pattern:</p>
          <disp-quote>
            <p>It makes me think deeply. For example, I am given a riddle I
        need to think deeply because normally riddles required thinking
        and reasoning and I need to think deeply to get the answer.
        Introduction of riddle in the topic helped me to learn how to
        think deeply.</p>
            <p>For me it makes me think very deeply about the subject and
        takes some time to solve and sometimes it can be so
        trickish.</p>
          </disp-quote>
          <p>These statements suggest that students experienced the riddles
      as cognitively engaging, describing deliberate effort as they
      worked to resolve each riddle.</p>
        </sec>
        <sec id="behavioral-engagement">
          <title>Behavioral engagement</title>
          <p>For the behavioral dimension, the Wilcoxon signed-rank test
      indicated a statistically significant difference between the Mdn
      score before the intervention (Mdn = 14) and after the
      intervention (Mdn = 18), Z = -2.023, p = .043, r = .35, a medium
      effect. This result indicates an association of riddle-based
      learning with behavioral engagement in chemistry. Students’
      reflections further corroborated this pattern:</p>
          <disp-quote>
            <p>During the riddle sessions, I was more active in class than
        usual. I listened carefully, raised my hand to suggest answers,
        and worked with my classmates to solve the riddles because I
        wanted to figure out the problem before the solution was
        revealed.</p>
            <p>The riddles made me participate more in lessons. Instead of
        waiting for the teacher to explain everything, I tried to solve
        the questions myself and discussed my ideas with others. I was
        more focused and involved throughout the class.</p>
          </disp-quote>
          <p>This engagement was reflected in increased participation
      through discussion, willingness to talk, and idea-sharing as
      students worked collaboratively to answer the riddles,
      particularly during the Engage phase of the lesson. The teacher’s
      reflection on students’ engagement in the classroom echoed this
      observation:</p>
          <disp-quote>
            <p>Students who were ordinarily inactive in class were very
        active when the riddle was introduced (teacher).</p>
          </disp-quote>
        </sec>
        <sec id="emotional-engagement">
          <title>Emotional engagement</title>
          <p>For the emotional dimension, the Wilcoxon signed-rank test
      indicated a statistically significant difference between the Mdn
      score before the intervention (Mdn = 16) and after the
      intervention (Mdn = 19), Z = -2.072, p = .038, r = .36, a medium
      effect. This result indicates that riddle-based learning was
      associated with emotional engagement, with students expressing
      excitement, curiosity, and a positive connection to the learning
      activity. Students’ reflections corroborate this pattern:</p>
          <disp-quote>
            <p>The riddles made the lessons enjoyable and less stressful. I
        felt curious and excited to participate because solving the
        riddle felt like a challenge rather than a test, which made
        chemistry more interesting for me.</p>
            <p>I felt more confident and motivated during the riddle
        activities. Even when I was not sure of the answer, I was not
        afraid to try because the class atmosphere felt supportive and
        fun.</p>
          </disp-quote>
          <p>These results, together with the supporting excerpts, suggest
      that riddle-based learning was associated with greater curiosity,
      interest, and enjoyment of chemistry in the classroom.</p>
        </sec>
      </sec>
      <sec id="riddle-based-learning-and-students-conceptual-understanding-of-the-mole-concept">
        <title>Riddle-Based Learning and Students’ Conceptual Understanding
    of the Mole Concept</title>
        <p>To examine the association of riddle-based learning with
    students’ conceptual understanding, a paired-samples t-test was
    conducted; results are presented in <bold><xref ref-type="table" rid="table-396">Table 4</xref></bold>.</p>
        <p>The paired-samples t-test indicated a statistically significant
    difference between pre-test (mean [M] = 32.40, standard deviation
    [SD] = 14.22) and posttest conceptual understanding scores (M =
    45.60, SD = 13.54), t(33) = -3.17, p = .003, dz = 0.54, representing
    a medium effect size. This result indicates a statistically
    significant increase in conceptual understanding scores over the
    intervention period. Excerpts from students’ reflections further
    corroborate this pattern. Students described the riddles as
    prompting deep thought about the mole concept and supporting their
    ability to solve chemistry problems:</p>
        <disp-quote>
          <p>It helps me in solving problems because if I’m given a question
      to solve, I think before solving the problem, so it has helped me
      to learn how to think very well.</p>
          <p>For me it makes me think very deep about the subject and takes
      some time to solve and sometimes it can be so trickish. It also
      gives me a better understanding.</p>
          <p>The riddles help me understand the topic better than I imagine
      it to be ... riddles help me to think and reason about the topic
      very well and understand it more.</p>
        </disp-quote>
        <p>The deep thought prompted by the riddles also appeared to help
    students make connections to prior knowledge related to new topics.
    One student explained:</p>
        <disp-quote>
          <p>The riddle helps me understand the topic because it refers to
      topics taught in class, and when you think back you remember
      things taught in class and understand it better...For me it makes
      me go back to the subject that has been taught for a long
      time.</p>
        </disp-quote>
        <p>Beyond drawing on prior knowledge, students indicated that the
    riddles helped them explain chemistry concepts in their own words
    rather than focus solely on producing a technically correct
    answer:</p>
        <disp-quote>
          <p>Adding riddles helps me explain topics in my own words better.
      It was a whole lot easier for me to explain to the class the way I
      understood it instead of thinking about the right word.</p>
        </disp-quote>
        <p>Taken together, the quantitative results and the pattern of
    student reflections suggest that riddle-based learning was
    associated with students’ engagement with chemistry concepts, giving
    them the opportunity to reflect on the topic, connect it to prior
    experience, and explain it in their own words.</p>
      </sec>
      <sec id="challenges-associated-with-riddle-based-learning">
        <title>Challenges Associated with Riddle-Based Learning</title>
        <p>The thematic analysis of the data further revealed challenges
    associated with implementing riddle-based instruction. Despite the
    associations reported above, students’ and the teacher’s reflections
    indicated that riddle-based learning was also associated with
    difficulties, including overthinking and spending considerable time
    on a single riddle. The following excerpts illustrate these
    difficulties:</p>
        <disp-quote>
          <p>My challenge is that I will have to think about the things that
      I am not supposed to think. For me it takes a lot of time to solve
      riddles ... and all those thinking sometimes gives me
      headache.</p>
          <p>The answer to the riddles is sometimes challenging because it
      needs critical thinking and understanding to solve the answer.</p>
          <p>Solving riddles is not actually a challenge to me, but a means
      of exercising my brain by critically thinking to find the
      answers.</p>
        </disp-quote>
        <p>As a result, some students expressed a preference for direct
    instruction over riddle-based tasks:</p>
        <disp-quote>
          <p>I don’t know if I face any challenges because I hate riddles
      even if I try them in chemistry class it is because I was forced
      but I prefer straight teaching without the use of riddle ... [the
      straight teaching] makes me love chemistry more, but where there
      is riddle, I hate or dislike that topic more.</p>
        </disp-quote>
        <p>The teacher’s reflection likewise indicated that integrating
    riddles into chemistry instruction presented a genuine challenge for
    some students:</p>
        <disp-quote>
          <p>Students face different challenges according to their
      [learning] differences. Some like the sound of riddles in the
      class as it really spikes their curiosity, some enjoy it as a
      method of bringing excitement to the class, many understand a line
      or two in some given riddles but find it difficult to connect all
      points, some students hate the sound of it as they don’t like the
      idea of making their brain work or think too much. I think the use
      of riddles in chemistry to them is like forcing them to sit in a
      long-hour mathematics class. In one of my student’s feedback on
      the use of riddles in teaching chemistry, and I quote: it’s always
      giving me a headache (teacher).</p>
        </disp-quote>
        <p>The teacher also noted that the deliberately tricky wording used
    in some riddles could work against comprehension:</p>
        <disp-quote>
          <p>The tricky words used in formulating riddles can lead students
      to focus on irrelevant details rather than the core concepts,
      which in turn can make students misread or overanalyze the
      riddles, causing them to miss the intended concept (teacher).</p>
        </disp-quote>
        <p>These accounts suggest that riddles can be cognitively demanding
    in ways that are not uniformly productive, and that adequate teacher
    support is likely needed to help students move from a state of
    cognitive dissonance toward comfort and competence in resolving
    riddle problems.</p>
      </sec>
    </sec>
    <sec id="discussion">
      <title>DISCUSSION</title>
      <p>This study examined the association of riddle-based learning with
  students’ engagement and conceptual understanding in chemistry. The
  findings suggest that riddles, used as instructional prompts, are
  associated with students’ behavioral, emotional, and cognitive
  engagement, and that gains in conceptual understanding were observed
  over the same period. Although integrating riddles also introduced
  challenges for some students, the pattern of results points to the
  potential of riddle-based learning as one approach to the
  long-standing problem of disengagement with abstract chemistry
  concepts. These findings are interpreted through the lens of
  Vygotsky’s (1978) socio-cultural theory, which holds that learning is
  a socially mediated process shaped by interaction, language, and
  cultural tools. From this perspective, riddle-based learning may
  function as a mediational tool that supports students’ cognitive
  activity within social contexts, enabling them to co-construct meaning
  through dialogue, shared problem-solving, and guided
  participation.</p>
      <sec id="riddles-as-catalysts-for-engagement-and-conceptual-understanding">
        <title>Riddles as Catalysts for Engagement and Conceptual
    Understanding</title>
        <p>Consistent with the quantitative results, students’ reflections
    indicated that riddles prompted “deep thinking” and sustained mental
    effort, both core indicators of cognitive engagement (Doolittle,
    1995; Fredricks et al., 2004). This pattern aligns with a broader
    body of research suggesting that intellectually playful tasks, such
    as riddles, gamified instruction, and puzzles, are associated with
    deeper cognitive investment because they require learners to
    analyze, infer, and reason rather than passively recall information
    (Coelho et al., 2026; Fontes et al., 2024). It is also consistent
    with research indicating that learning activities introducing
    cognitive challenge without an immediate solution path can foster
    productive struggle in ways that support conceptual change and
    longer-term understanding (Kapur, 2016; Schonberg, 2025). The
    increased cognitive engagement observed here also reflects students’
    active use of language to make sense of chemistry concepts,
    consistent with Vygotsky’s (1978) view that thought develops through
    speech and social interaction; students’ reports that riddles made
    them “think deeply” and “reason” suggest that riddles externalized
    thinking that students later internalized as individual
    understanding.</p>
        <p>Behavioral engagement also increased, with students reporting
    greater participation, attentiveness, and collaborative
    problem-solving during riddle-based lessons. This finding is
    consistent with prior research suggesting that riddles and
    problem-based prompts encourage active classroom behaviors,
    particularly discussion and peer interaction (Prince, 2004), and
    with the general pattern that students who perceive a task as an
    intriguing challenge, rather than a routine exercise, are more
    likely to take initiative and persist. In chemistry specifically,
    interactive strategies that emphasize sense-making have been
    associated with greater willingness to participate and articulate
    ideas publicly (Cooper et al., 2018). This pattern resonates with
    Vygotsky’s (1978) concept of the ZPD, the distance between what
    learners can do independently and what they can accomplish with
    guidance from more capable peers or instructors. During the
    riddle-based activities, students collaboratively explored possible
    solutions, shared partial understanding, and refined ideas through
    discussion, positioning the riddles within students’ ZPD by offering
    challenges that were initially difficult but solvable through social
    mediation and scaffolded instruction. The teacher’s observation that
    previously inactive students became more involved when riddles were
    introduced is consistent with this interpretation: shared
    intellectual responsibility, from a socio-cultural perspective, can
    draw students into participation who might otherwise remain passive,
    by creating a shared problem space that allows students to
    contribute ideas without fear of immediate evaluation.</p>
        <p>Emotional engagement showed a similar pattern, with some students
    describing the riddle-based lessons as more enjoyable and motivating
    than traditional instruction. These responses are consistent with
    research suggesting that playful intellectual activity promotes
    curiosity and positive affect, which can in turn support attention,
    subject interest, and learning (Hidi &amp; Renninger, 2006; Pekrun
    et al., 2011). From a socio-cultural perspective, students’ reports
    of curiosity and enjoyment suggest that the riddles reframed
    chemistry learning as a socially supported intellectual challenge
    rather than an individual performance task; the supportive classroom
    discourse surrounding riddle-solving appeared to foster a sense of
    belonging and confidence that socio-cultural theorists consider
    important for sustained participation in learning communities.
    Students’ ability to explain concepts “in their own words” is also
    consistent with the process of internalization Vygotsky (1978)
    described, whereby socially mediated language gradually becomes
    internal speech supporting independent reasoning.</p>
        <p>The study also found a statistically significant increase in
    students’ conceptual understanding following the intervention, a
    pattern consistent with research indicating that learning tasks
    requiring explanation, reasoning, and connection to prior knowledge
    support meaningful learning in science (Chi &amp; Wylie, 2014;
    Vosniadou, 2013). Students’ reflections suggested that riddles
    helped them activate prior knowledge and reason through chemical
    ideas and explain concepts in their own words. Related patterns have
    been reported in studies using riddles, analogies, or conceptual
    puzzles to support understanding in chemistry and physics, with
    associated gains in conceptual clarity and problem-solving
    performance (Adzape et al., 2020; Huang et al., 2020; Lathwesan
    &amp; Belova, 2021). Collectively, these findings are consistent
    with the view that riddle-based learning functions as a form of
    cognitively activating instruction associated with engagement and
    conceptual understanding, positioning students as active
    sense-makers who bridge abstract chemical concepts and their
    existing cognitive frameworks.</p>
      </sec>
      <sec id="challenges-associated-with-riddle-based-learning-1">
        <title>Challenges Associated with Riddle-Based Learning</title>
        <p>Alongside its apparent benefits, riddle-based learning was also
    associated with notable challenges, a pattern that itself aligns
    with socio-cultural theory: students who experienced frustration or
    cognitive overload may have encountered tasks that exceeded their
    ZPD because scaffolding was insufficient for their needs. Some
    learners reported overthinking, cognitive fatigue, frustration, and
    even dislike for riddles, particularly when riddles were perceived
    as excessively demanding or time-consuming. These experiences are
    consistent with cognitive load theory, which suggests that tasks
    requiring high levels of reasoning can overwhelm learners when
    scaffolding is inadequate (Sweller et al., 2011); when riddles
    contain complex or misleading language, students may focus on
    irrelevant details rather than core concepts, increasing extraneous
    cognitive load. This pattern is consistent with prior cautions in
    the science education literature that, while productive struggle can
    support learning, unstructured or poorly supported challenge can
    instead lead to disengagement, especially among students with lower
    prior knowledge or confidence (Kapur, 2016; Kirschner et al., 2006).
    The teacher’s reflection illustrates this tension, noting that some
    students struggled to connect ideas within riddles or resisted the
    approach because they associated it with excessive mental effort, a
    pattern consistent with prior findings that students accustomed to
    teacher-centered instruction may initially resist inquiry-oriented
    approaches requiring sustained thinking (Brown et al., 2012).
    Together, these findings suggest that riddles are most effective
    when thoughtfully designed and strategically facilitated, with
    teachers playing a critical role in moderating cognitive demand,
    clarifying task goals, and supporting students as they move from
    initial confusion toward understanding (Belland et al., 2017;
    Hmelo-Silver et al., 2007).</p>
      </sec>
    </sec>
    <sec id="conclusion">
      <title>CONCLUSION</title>
      <p>This study examined the association of riddle-based learning with
  students’ engagement and conceptual understanding in chemistry. Guided
  by socio-cultural theory, it sought to understand how riddles
  functioned as instructional tools in relation to students’ cognitive,
  behavioral, and emotional participation in learning, as well as their
  understanding of an abstract chemistry concept.</p>
      <p>The findings indicate that riddle-based learning was associated
  with all three dimensions of student engagement. Students demonstrated
  greater cognitive effort through deep thinking and reasoning, greater
  behavioral participation through discussion and collaboration, and
  heightened emotional engagement characterized by curiosity, enjoyment,
  and confidence. In addition, the observed improvement in students’
  conceptual understanding suggests that riddles were associated with
  meaningful learning, encouraging students to draw on prior knowledge,
  reflect on ideas, and explain concepts in their own words. These
  outcomes point to the value of riddles as cognitively activating tasks
  that may help move students beyond passive reception of information
  toward active sense-making.</p>
      <p>Interpreted through Vygotsky’s (1978) socio-cultural theory, these
  findings suggest that riddles functioned as mediational tools
  supporting learning through social interaction and shared
  problem-solving. The collaborative nature of riddle-solving positioned
  students within their ZPD, allowing them to co-construct understanding
  with peers and teacher support. The dialogic classroom interactions
  observed during riddle-based lessons appeared to support the
  internalization of scientific concepts, consistent with the view that
  learning is both a social and a cognitive process.</p>
      <p>Because the study relied on a single-group, pre-post design without
  a comparison group, these conclusions should be read as evidence of
  association rather than causation. Within that limitation, the study
  offers preliminary evidence that riddle-based learning can function as
  a socio-cultural instructional strategy in chemistry education when
  thoughtfully implemented. By supporting engagement, conceptual
  understanding, and social interaction, riddles appear to offer a
  promising, low-cost strategy for addressing some of the challenges
  associated with learning abstract chemistry concepts, provided that
  they are aligned with students’ developmental needs and supported
  through intentional teacher scaffolding.</p>
      <sec id="implications-for-practice">
        <title>Implications for Practice</title>
        <p>These findings suggest that riddle-based learning may be a useful
    tool for supporting students’ engagement and conceptual
    understanding in chemistry classrooms. By drawing on metaphor,
    dialogue, and problem-solving, riddles offer an accessible pathway
    into scientific thinking that does not require specialized materials
    or technology, an important consideration in resource-constrained
    classrooms. Riddles appear most effective when teachers
    intentionally support students’ movement from confusion to
    understanding, ensuring that challenges remain within what students
    can reasonably process, given appropriate scaffolding. Used in this
    way, riddles may function as tools for social meaning-making that
    support both engagement and conceptual understanding. The study adds
    to a growing body of work advocating creative, inquiry-oriented
    strategies in chemistry teaching, and is broadly consistent with the
    view that cognitive development is socially mediated and culturally
    shaped. As such, riddle-based learning holds promise not only to
    support students’ conceptual understanding but also to inform how
    science is taught and experienced in the classroom.</p>
      </sec>
      <sec id="limitations-and-directions-for-future-research">
        <title>Limitations and Directions for Future Research</title>
        <p>This study has several limitations that should be considered when
    interpreting its findings. First, and most importantly, the study
    used a single-group pre-/post-test design without a comparison or
    control group. While this design was appropriate given the ethical
    and logistical constraints of intervening in an intact classroom, it
    does not support causal inference about the specific effect of
    riddle-based learning. Several threats to internal validity cannot
    be ruled out: maturation, in that students’ natural cognitive
    development or growing familiarity with course content over the term
    may partly account for the observed gains; instructor effects, in
    that the classroom teacher’s general enthusiasm, skill, or
    attention, rather than the riddles specifically, may have
    contributed to the results; and testing or practice effects, in that
    scores may have improved partly because students had already
    encountered the pretest items. Accordingly, all findings reported
    here should be interpreted as associations between riddle-based
    learning and engagement and conceptual understanding, rather than as
    evidence of a causal effect.</p>
        <p>Second, the sample was small (N = 34) and drawn from a single
    intact classroom in one school within one educational district in
    Lagos State, which limits statistical power and the generalizability
    of the findings to other schools, regions, or educational systems.
    Third, engagement and reflection data relied on students’
    self-reports, which may be subject to social desirability bias,
    particularly given that the classroom teacher was involved in both
    instruction and data collection.</p>
        <p>Future research should replicate this study using a comparison or
    control-group design, ideally with random assignment at the
    classroom level, to strengthen causal inference regarding the
    specific effect of riddle-based learning. Longitudinal designs
    tracking engagement and conceptual understanding across a full
    academic year, or across multiple chemistry topics beyond the mole
    concept, would help clarify whether the associations observed here
    persist over time and generalize across content areas. Future work
    should also examine how different levels and forms of teacher
    scaffolding moderate whether riddles produce productive cognitive
    challenge rather than disengagement or frustration, given the
    difficulties evident in the data.</p>
        <p>
          <bold>Author contributions:</bold>
          <bold>MM:</bold>
    conceptualization, data curation, formal analysis; <bold>BMA:</bold>
    writing – review &amp; editing; <bold>JIS:</bold> formal analysis.
    All authors agreed with the results and conclusions.</p>
        <p>
          <bold>Funding:</bold> No funding source is reported for this
    study.</p>
        <p>
          <bold>Ethical statement:</bold> The authors confirm that this
    study was conducted in full compliance with the ethical standards of
    the American Psychological Association. Ethical approval was
    obtained prior to data collection, informed consent was secured from
    all participants and their guardians, participation was voluntary,
    and all data were anonymized to protect participants’ identities.
    The authors confirm that all processes were carried out in
    accordance with all applicable rules and guidelines with the
    Virginia Tech IRB approval number 24-1179. All participants
    consented to participate in the study.</p>
        <p>
          <bold>AI statement:</bold> In the preparation of this manuscript,
    ChatGPT version 5.0 was utilized to enhance language quality,
    specifically for grammatical corrections, and for generation of
    riddles. Subsequently, the generated riddles were reviewed by the
    chemistry teachers and the first author.</p>
        <p>
          <bold>Declaration of interest:</bold> No conflict of interest is
    declared by the authors.</p>
        <p>
          <bold>Data sharing statement:</bold> Data supporting the findings
    and conclusions are available upon request from the corresponding
    author.</p>
      </sec>
    </sec>
  </body>
  <back>
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    <sec sec-type="display-objects">
      <title>Tables</title>
      <table-wrap id="table-393">
        <label>Table 1</label>
        <caption>Sample of riddle-modified chemistry syllabus</caption>
        <table>
          <colgroup>
            <col width="25%" />
            <col width="25%" />
            <col width="25%" />
            <col width="25%" />
          </colgroup>
          <tbody>
            <tr>
              <td>
                <p>
                  <bold>Week</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>Topics</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>Learning objectives</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>Riddles</bold>
                </p>
              </td>
            </tr>
            <tr>
              <td>
                <p>1</p>
              </td>
              <td>
                <p>-Definition of mole</p>
                <p>-Calculation of molar mass/relative molecular mass</p>
                <p>-Percentage composition of elements in compounds</p>
              </td>
              <td>
                <p>-Explain the mole concept</p>
                <p>-Locate the atomic mass of elements on the periodic table</p>
                <p>-Calculate molar mass, relative molecular mass, and number of
        moles of a substance</p>
              </td>
              <td>
                <p>“I am a special number in chemistry, used to count
        particles you cannot see. Whether atoms or molecules, I’m the
        key. What am I?” (Anser: Mole)</p>
                <p>“I represent the mass of one mole, for atoms, elements, or
        compounds whole. On the periodic table you’ll find me, with
        units in grams per mole, you see. What am I?” (Anser: Molar
        mass)</p>
              </td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <table-wrap id="table-394">
        <label>Table 2</label>
        <caption>Riddle-infused, inquiry-based instructional implementation procedure</caption>
        <table>
          <colgroup>
            <col width="25%" />
            <col width="25%" />
            <col width="25%" />
            <col width="25%" />
          </colgroup>
          <tbody>
            <tr>
              <td style="vertical-align: top">
                <p>
                  <bold>Phase of
        teaching</bold>
                </p>
              </td>
              <td style="vertical-align: top">
                <p>
                  <bold>What the teacher
        did</bold>
                </p>
              </td>
              <td style="vertical-align: top">
                <p>
                  <bold>What the students
        did</bold>
                </p>
              </td>
              <td style="vertical-align: top">
                <p>
                  <bold>Connection to
        theory</bold>
                </p>
              </td>
            </tr>
            <tr>
              <td style="vertical-align: top">
                <p>Engage (cognitive and
        emotional engagement)</p>
              </td>
              <td style="vertical-align: top">
                <p>The teacher grouped students
        and presented a riddle representing the topic (mole concept): “I
        am the bridge between the mass of a substance and the number of
        particles. Who am I?” Students were encouraged to discuss the
        riddle among themselves. The goal was to activate prior
        knowledge and help students make connections that could lead
        toward the answer, rather than to elicit an immediate correct
        response.</p>
              </td>
              <td style="vertical-align: top">
                <p>Students listened, recalled
        prior concepts (moles, particles, atoms), and attempted initial
        guesses within their groups, talking with one another to resolve
        the riddle. Through this discussion, the teacher and researcher
        gained insight into how the riddle activated prior knowledge and
        prompted behavioral engagement.</p>
              </td>
              <td style="vertical-align: top">
                <p>The riddle placed the task
        just beyond students’ independent ability, sparking curiosity
        within a social learning environment. Because the mole concept
        was represented metaphorically, students had to attend closely
        to language to demystify its meaning, engaging students both
        cognitively and behaviorally in preparation for
        exploration.</p>
              </td>
            </tr>
            <tr>
              <td style="vertical-align: top">
                <p>Explore (behavioral
        engagement)</p>
              </td>
              <td style="vertical-align: top">
                <p>The teacher provided
        activities for students to explore the concept further and
        reconcile their thinking, offering hints where needed (e.g., “It
        is a fundamental unit in chemistry”) to encourage peer
        discussion and collaboration around the mole concept’s
        definition and calculation.</p>
              </td>
              <td style="vertical-align: top">
                <p>Students discussed in groups,
        shared reasoning, expressed curiosity about the riddle, and
        asked clarifying questions.</p>
              </td>
              <td style="vertical-align: top">
                <p>This phase promoted social
        interaction and scaffolded meaning-making, helping learners
        bridge prior and new knowledge within a social
        environment.</p>
              </td>
            </tr>
            <tr>
              <td style="vertical-align: top">
                <p>Elaborate/
        application (cognitive engagement)</p>
              </td>
              <td style="vertical-align: top">
                <p>The teacher provided model
        examples of mole-ratio and mass-number problems, gradually
        withdrawing support, and asked students to formulate their own
        riddles based on their experience.</p>
              </td>
              <td style="vertical-align: top">
                <p>Students applied reasoning to
        solve mole-related problems, explained their answers, attempted
        independent calculations, and formulated riddles.</p>
              </td>
              <td style="vertical-align: top">
                <p>Scaffolds were withdrawn as
        students internalized skills, demonstrating independent mastery
        within the social learning environment.</p>
              </td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <table-wrap id="table-395">
        <label>Table 3</label>
        <caption>Wilcoxon signed-rank analysis of engagement before and after riddle-based learning</caption>
        <table>
          <tbody>
            <tr>
              <td>
                <p>
                  <bold>Dimension</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>N</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>Median (pre/post)</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>Z</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>p</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>Effect size (r)</bold>
                </p>
              </td>
            </tr>
            <tr>
              <td>
                <p>Cognitive</p>
              </td>
              <td>
                <p>34</p>
              </td>
              <td>
                <p>15/20</p>
              </td>
              <td>
                <p>-2.042</p>
              </td>
              <td>
                <p>.041</p>
              </td>
              <td>
                <p>.35</p>
              </td>
            </tr>
            <tr>
              <td>
                <p>Behavioral</p>
              </td>
              <td>
                <p>34</p>
              </td>
              <td>
                <p>14/18</p>
              </td>
              <td>
                <p>-2.023</p>
              </td>
              <td>
                <p>.043</p>
              </td>
              <td>
                <p>.35</p>
              </td>
            </tr>
            <tr>
              <td>
                <p>Emotional</p>
              </td>
              <td>
                <p>34</p>
              </td>
              <td>
                <p>16/19</p>
              </td>
              <td>
                <p>-2.072</p>
              </td>
              <td>
                <p>.038</p>
              </td>
              <td>
                <p>.36</p>
              </td>
            </tr>
            <tr>
              <td colspan="6">Note. <italic>r = Z / √N</italic> (Fritz et al.,
        2012), where <italic>r</italic> values of approximately .10,
        .30, and .50 are conventionally interpreted as small, medium,
        and large effects, respectively</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <table-wrap id="table-396">
        <label>Table 4</label>
        <caption>Paired-samples t-test of students’ conceptual understanding of the mole concept</caption>
        <table>
          <tbody>
            <tr>
              <td>
                <p>
                  <bold>Test</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>M</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>SD</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>df</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>t</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>p</bold>
                </p>
              </td>
              <td>
                <p>
                  <bold>d</bold>
                </p>
              </td>
            </tr>
            <tr>
              <td>
                <p>Pre-test</p>
              </td>
              <td>
                <p>32.40</p>
              </td>
              <td>
                <p>14.22</p>
              </td>
              <td>
                <p>33</p>
              </td>
              <td>
                <p>-3.17</p>
              </td>
              <td>
                <p>.003</p>
              </td>
              <td>
                <p>0.54</p>
              </td>
            </tr>
            <tr>
              <td>
                <p>Post-test</p>
              </td>
              <td>
                <p>45.60</p>
              </td>
              <td>
                <p>13.54</p>
              </td>
              <td>
                <p> </p>
              </td>
              <td>
                <p> </p>
              </td>
              <td>
                <p> </p>
              </td>
              <td>
                <p> </p>
              </td>
            </tr>
            <tr>
              <td colspan="7">Note. N = 34; df = N-1 = 33; dz: Standardized
        mean difference for paired samples, computed as
        <italic>t/√N</italic> (Cohen, 1988); dz is based on the SD of
        the difference scores</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </sec>
  </back>
</article>