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Full Terms & Conditions of access and use can be found at https://www.tandfonline.com/action/journalInformation?journalCode=urqe20 Research Quarterly for Exercise and Sport ISSN: 0270-1367 (Print) 2168-3824 (Online) Journal homepage: https://www.tandfonline.com/loi/urqe20 Two Pathways Underlying the Effects of Physical Education on Out-of-School Physical Activity Yubing Wang & Ang Chen To cite this article: Yubing Wang & Ang Chen (2020) Two Pathways Underlying the Effects of Physical Education on Out-of-School Physical Activity, Research Quarterly for Exercise and Sport, 91:2, 197-208, DOI: 10.1080/02701367.2019.1656325 To link to this article: https://doi.org/10.1080/02701367.2019.1656325 Published online: 24 Oct 2019. Submit your article to this journal Article views: 144 View related articles View Crossmark data Citing articles: 1 View citing articles

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Page 1: Two Pathways Underlying the Effects of Physical Education ... · Two Pathways Underlying the Effects of Physical Education on Out-of-School Physical Activity Yubing Wanga and Ang

Full Terms & Conditions of access and use can be found athttps://www.tandfonline.com/action/journalInformation?journalCode=urqe20

Research Quarterly for Exercise and Sport

ISSN: 0270-1367 (Print) 2168-3824 (Online) Journal homepage: https://www.tandfonline.com/loi/urqe20

Two Pathways Underlying the Effects of PhysicalEducation on Out-of-School Physical Activity

Yubing Wang & Ang Chen

To cite this article: Yubing Wang & Ang Chen (2020) Two Pathways Underlying the Effects ofPhysical Education on Out-of-School Physical Activity, Research Quarterly for Exercise and Sport,91:2, 197-208, DOI: 10.1080/02701367.2019.1656325

To link to this article: https://doi.org/10.1080/02701367.2019.1656325

Published online: 24 Oct 2019.

Submit your article to this journal

Article views: 144

View related articles

View Crossmark data

Citing articles: 1 View citing articles

Page 2: Two Pathways Underlying the Effects of Physical Education ... · Two Pathways Underlying the Effects of Physical Education on Out-of-School Physical Activity Yubing Wanga and Ang

Two Pathways Underlying the Effects of Physical Education on Out-of-SchoolPhysical ActivityYubing Wanga and Ang Chenb

aUniversity of Wisconsin at Whitewater; bUniversity of North Carolina at Greensboro

ABSTRACTOne primary goal of physical education (PE) is to promote students’ lifelong physical activity (PA).This goal implies that PE should not only improve students’ PA in PE classes but also promotetheir PA outside of the school known as the “PE effect.” Purpose: In this study, we proposeda two-pathway model of the “PE effect” and hypothesized that learning in PE and positivemotivational experience in PE are two possible pathways through which the “PE effect” emerges.We tested the tenability of this two-pathway model from the perspective of knowledge learningand autonomous motivation in PE. Methods: A total of 394 eighth-grade students from fiveschools provided data on PA knowledge, out-of-school PA, and autonomous motivation towardPE and PA. Structural equation modeling was used to test the two-pathway model. Results:Results showed that the students’ knowledge had a direct effect (β = .18, p < .05) on theirautonomous motivation for PA and an indirect effect (β = .02, p < .05) on out-of-school PAthrough influencing autonomous motivation toward PA. Students’ autonomous motivation for PEhad a direct effect (β = .41, p < .05) on their autonomous motivation toward PA and an indirecteffect (β = .04, p < .05) on out-of-school PA through autonomous motivation toward PA.Conclusion: These results indicate that the two-pathway model is tenable in terms of knowledgelearning and autonomous motivation in PE and imply that teaching knowledge in an autonomy-supportive PE environment may be an effective way to promote students’ out-of-school PA.

ARTICLE HISTORYReceived 29 September2018Accepted 8 August 2019

KEYWORDSPE effect; exerciseknowledge; autonomousmotivation

One primary goal of physical education (PE) is topromote students’ lifelong physical activity (Corbin,2002; Ennis, 2017). This goal implies that PE shouldnot only improve students’ in-class physical activity(PA) behavior but also promote their PA behavior out-side of the school. Green (2014) refers to the impact onout-of-school PA as the “PE effect” (p. 357). The “PEeffect” is frequently cited by PE teachers and scholarsand is often included in government policies across theworld. Despite the wide citations of the “PE effect”,there is little research evidence documenting the “PEeffect” due to the limited research on the connectionbetween PE and out-of-school PA behavior.

To achieve the “PE effect”, one critical step is tounderstand the underlying mechanisms. To understandthe mechanisms, two issues need to be addressed. Thefirst is to identify key factors in PE that contribute toout-of-school PA behavior. The second is to under-stand the way these factors function (e.g., direct effector indirect effect). In this study, we proposed a two-pathway model of the “PE effect”, as a priori, by synthe-sizing two existing theoretical models. We then set outto test the tenability of this two-pathway model.

A two-pathway model of the “PE effect”

There seem to be different perspectives on achievingthe “PE effect.” Ennis (2017) proposed the concept of“Transformative PE” (p. 1) to promote lifelong PA.She argued for a focused transformative PE to targetstudents’ cognitive knowledge, self-motivation, andpersonal meaning about PA. Penney and Jess(2004), however, proposed to broaden the scope ofPE curricula to include functional PA, recreationalPA, health-related PA, and performance-related PA.Corbin (2002), on the other hand, emphasized theneeds for independent and self-directed behavioradaptation and suggests that PE should focus on self-management knowledge (e.g., goal setting) and pro-blem-solving skills (e.g., how to assess fitness) alongwith the activities.

The diverse perspectives reflect that theoretical mod-els focusing on the “PE effect” mechanisms are rare. Inour literature search, we found two such models. Onemodel is Chen and Hancock (2006) situational-to-self-initiated motivation model. The other is the Haggerand Chatzisarantis (2016) trans-contextual model.

CONTACT Yubing Wang [email protected] Department of Health, Physical Education, Recreation and Coaching, 800 W. Main Street, Whitewater, WI53190-1790

RESEARCH QUARTERLY FOR EXERCISE AND SPORT2020, VOL. 91, NO. 2, 197–208https://doi.org/10.1080/02701367.2019.1656325

© 2019 SHAPE America

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The situational-to-self-initiated motivation model

The situational-to-self-initiated motivation model (Chen&Hancock, 2006) proposes that children and adolescents’PAmotivation tends to be situational and depends on theimmediate appealing characteristics of an environment oractivity. This situational motivation is effective in chan-ging PA behavior for a short period such as those in a PElesson, but not enough for long-term behavior change.The key for long-term or sustained behavior change relieson self-initiated motivation, which is defined as “the driveto engage in an activity based on a person’s self-conceptsystem consisting of his/her perceived competence, self-efficacy, and expectancy beliefs and values in the activity”(Chen & Hancock, 2006, p. 357). Internalizing situationalmotivation into self-initiated motivation depends on thenature of the PE curriculum. Chen and Hancock (2006)believe a competence-centered PE curriculum withemphases on learning knowledge and motor skills cancontribute to this internalization process.

A stage of change model is the hypothesized mechan-isms for the situational-to-self-initiated motivation inter-nalization process. Drawing from the stages of domainlearning, Chen and Hancock (2006) suggested that adoles-cents’ PA behavior change is a process involving progressthrough three stages: acclimation, competence, and profi-ciency. Adolescents can be categorized into one of thesethree stages based on their knowledge, self-conceptions,and motivation sources.

In this model, the PE curriculum plays a pivotalrole during the motivation and behavior change pro-cess. It is a vehicle that guides and carries adolescentsto progress through these motivational and beha-vioral change stages. For example, PE can help ado-lescents who can only be motivated to exercise withpeers (situationally motivated) become motivated toexercise on their own (self-motivated) once havinglearned strategies to apply effective knowledge andskills.

Chen and Hancock (2006) also suggested that com-munity variables, such as community resources andsafety, can influence the process of adolescents’ motiva-tional and behavioral change. An effective PE curricu-lum may reinforce the positive effects and constrain orreduce the negative effects of community variables onadolescents’ motivation and behavior change.

The trans-contextual model

The trans-contextual model (Hagger & Chatzisarantis,2016) explains how students’ autonomous motivationfor PE impacts their PA behavior in the out-of-schoolcontext. It integrates the theoretical tenets of self-

determination theory (Deci & Ryan, 2000), hierarchicalmodel of intrinsic and extrinsic motivation (Vallerand,1997), and the theory of planned behavior (Ajzen,1991). Autonomous motivation in this model is definedas “engaging in activities out of a sense of personalagency, for interest and satisfaction derived from theactivity itself, or its concomitant outcomes, and in theabsence of any externally referenced contingencies”(Hagger & Chatzisarantis, 2016, p. 361). Three formsof autonomous motivation were proposed in thismodel, intrinsic motivation, integrated regulation, andidentified regulation, to contrast with two forms ofcontrolled motivation—introjected regulation andexternal regulation.

The trans-contextual model is supported by three basictenets (Hagger & Chatzisarantis, 2012). The first is thatstudents’ perception of autonomy support predicts theirautonomous motivation for PE. The second is that auton-omous motivation for PE predicts autonomous motiva-tion toward PA. The third basic tenet is that autonomousmotivation toward PA predicts intended and actualengagement in out-of-school PA. Autonomous motiva-tion toward PA influences attitude, subjective norms, andperceived behavior control, which in turn impact PAintention and eventually PA behavior. Hagger et al.(2009) tested the trans-contextual model using a three-wave prospective design in samples from four Europeannations. They found that the central propositions of thetrans-context model were supported in samples of all fournations. González-Cutre, Sicilia, Beas-Jiménez, andHagger (2014) using the same design confirmed the ten-ability of the central propositions of the trans-contextualmodel in Spanish adolescents. In addition, using a cluster-randomized experimental design Yli-Piipari, Layne,Hinson, and Irwin (2018) showed that positive motiva-tional experience in PE did transfer to influence out-of-school PA.

Integrating the two models

The two models share one common assumption. That is,PE is central to students’ out-of-school PA behavior. Thesituational-to-self-initiated motivation model (Chen &Hancock, 2006) suggests that effective learning in PEcan facilitate adolescents’ transition from situationalmotivation to self-initiated motivation, which subse-quently can lead to long-term PA behavior change. Thetrans-contextual model (Hagger & Chatzisarantis, 2016)proposes that autonomous motivation experienced in PEcan be transferred to autonomous motivation toward PA,which in turn can influence PA behavior outside school.The two models imply two pathways by which PE caninfluence students’ out-of-school PA. The first pathway is

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through influencing students’ learning in PE; the secondis through influencing their motivational experiencein PE.

Another common assumption of these two models isthat PE may not directly influence out-of-school PAbehavior. Instead, it contributes to out-of-school PAbehavior through influencing students’ PA motivation.In other words, the effects of students’ learning andmotivation in PE on out-of-school PA tend to bemediated by their motivation toward PA. Consistentwith this assumption, we propose a two-pathwaymodel in Figure 1 to explain how PE can contributeto out-of-school PA behavior. We conceptualize thisa priori model as a general conceptual framework ofthe “PE effect”. Testing this model is an initial attemptto identify possible pathways through which the “PEeffect” may emerge. Our intention is to establish aninitial model that allows mediators and moderatorsthat emerge in the situational-to-self-initiated motiva-tion model and the trans-contextual model to be inte-grated in future research studies.

Currently, most studies examining the “PE effect”were based on the trans-contextual model and focusedon examining the pathway of motivational experiencein PE (Hagger & Chatzisarantis, 2016). Little evidenceis available to identify the pathway of learning in PE toachieving the “PE effect”. Examining these two path-ways simultaneously can be a plausible way to furtherour understanding about the “PE effect”. The purposeof this study was to identify and verify the two path-ways simultaneously to determine the tenability of thistwo-pathway model of the “PE effect”.

The present study

Learning in PE is multidimensional, generally includingthree dimensions—knowledge acquisition, motor skilldevelopment, and affective character cultivation (e.g.,confidence, attitude). As illustrated in the situational-to-self-initiated motivation model, knowledge and skilllearning in PE could be the sub-pathways through

which PE impacts out-of-school PA (Chen &Hancock, 2006). In this study, for the pathway of learn-ing in PE, we focused on students’ knowledge learningabout PA and fitness.

Knowledge about PA and fitness derives from manydomains that are generally referred to as health-relatedfitness knowledge. Keating et al. (2009) defined health-related fitness knowledge as “knowledge about indivi-duals’ ability to perform PA and protect themselves fromchronic disease” (p. 335). Zhu, Safrit, and Cohen (1999)have included a broad range of domains in this body ofknowledge including concepts of fitness, scientific princi-ples, components of physical fitness, effects of exercises onhealth, exercise prescription, nutrition, and injury preven-tion. In this study, the knowledge domains we focused oninclude concepts about PA (e.g., intensity, duration) andhealth-related fitness (e.g., cardiorespiratory fitness), exer-cise principles (e.g., principles of overload), PA recom-mendations, and self-management concepts about PA(e.g., SMART goal).

Research findings on the relationship between knowl-edge and PA behavior are mixed (e.g., Chen, Sun, Zhu, &Chen, 2014; Erwin & Castelli, 2008). Some studies showedthat students who had high levels of knowledge hadhigher levels of PA than students who had low knowledgelevel (e.g., Chen, Liu, & Schaben, 2017). Other studiessuggested that knowledge about PA did not have signifi-cant predictive effects on PA behavior (e.g., Chen et al.,2014; Erwin & Castelli, 2008). Most of these studieshypothesized and tested the direct relationship betweenknowledge and PA. Few of them involved testing mediat-ing factors between knowledge and PA behavior. As thetwo-pathway model suggests, knowledge learning in PEtends to influence students’ out-of-school PA indirectlythrough motivation toward PA. We hypothesized thatstudents’ knowledge about PA would positively influencetheir motivation toward PA. We believe that knowing theconcepts about PA and health-related fitness, principlesabout how to assess health-related fitness and design a PAplan, and strategies about self-management can increasestudents’ perceived competence for PA, which

Motivation for PA

Learning in PE

Motivation in PE

Out-of-school PA

Figure 1. The a priori path model. Solid lines signify direct positive paths; broken lines indirect positive paths. PE: Physical education;PA: Physical activity.

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subsequently can positively increase their motivationtoward PA (Deci & Ryan, 2000). In addition, we believethat knowing the health benefits of PA which serve asa strong rationale for PA, can increase students’ perceivedautonomy for PA participation, which subsequently canalso increase their motivation toward PA (Reeve, 2009). Itis not clear in the literature, however, about the ways thatthe knowledge–motivation–behavior pathways wouldwork. This directional hypothesis would allow us to testdirect and/or indirect effects of knowledge on out-of-school PA. We believe that the results will further ourunderstanding of the relationship.

Students’ motivation for PE has been studied frommany theoretical perspectives. The prominent theoriesthat have guided most motivation research in PEinclude self-determination theory, expectancy-valuetheory, achievement goal theory, self-efficacy theory,and interest theory. In this study, for the pathway ofmotivation in PE, we focused on the construct ofautonomous motivation, which has been theorized ascontributing to student motivation for PA outside ofthe school (Hagger & Chatzisarantis, 2016).

Most studies examining the direct and indirecteffects of autonomous motivation for PE on out-of-school PA indicate that there is an indirect effect butno direct effect of autonomous motivation for PE onout-of-school PA (e.g., Hagger et al., 2009). Severalvariables have been found to be significant mediatorsof the effects of autonomous motivation for PE on out-of-school PA. It includes autonomous motivationtoward PA, attitude toward PA, subjective norm, per-ceived behavior control, and PA intention, enjoymentin PE, and PA level in PE. In this study, we focused onthe mediator of autonomous motivation toward PA,since it was the most widely examined mediator inprevious studies. To further confirm previous findings,both direct and indirect effects were identified andtested in this study.

In this study we addressed the following specificresearch question: to what extent did eighth-grade stu-dents’ knowledge about PA and autonomous motiva-tion for PE contribute to their autonomous motivationtoward PA and, subsequently, influence their out-of-school PA? We hypothesized that students’ knowledgeand autonomous motivation for PE would not directlyinfluence out-of-school PA. Instead, they would indir-ectly influence out-of-school PA behavior throughinfluencing students’ autonomous motivation towardPA. To answer the research question, we tested thea priori path model (Figure 1) empirically to identifyand verify the hypothesized pathways among these fourvariables.

Methods

The research context and participants

This studywas conducted in fivemiddle schools in a south-eastern state of the United States. Students in three of thefive schools received a knowledge-intensive PE curriculumthe year before this study and were currently studying thetraditional, multi-activity PE curriculum. Students in othertwo schools were only studying the multi-activity curricu-lum during the middle-school years. The rationale ofincluding these two types of schools is that knowledge→-autonomous motivation toward PA→out-of-school PA isone pathway to be tested in this study. Knowledge learningis usually not emphasized in the traditional, multi-activityPE (Ennis, 2010). Students learning in the traditional,multi-activity PE tend to demonstrate low level of knowl-edge about PA and fitness in comparison with those learn-ing in the concept-based PE (Sun, Chen, Zhu, & Ennis,2012). Pooling the data from the two groups togetherensured enough variability of the knowledge measures sothat the tenability of the knowledge pathway in the a prioripath model in Figure 1 could be tested with adequatestatistical power.

A typical lesson of the multi-activity curriculumstarted with about 10 to 15 min of teacher-directedwarm-up and fitness activities, then about 15 to 25min of skill development or scrimmage gameplay, andthen about 5 min of closure and/or cool-down activ-ities. With the progress of the unit, more class time wasspent on playing games.

A total of 394 eighth-grade students from 30 classes offive schools provided complete data sets for this study. Itincluded 51.0% boys (n = 201) and 49.0% girls (n = 193).The ethnicity composition of this sample was that 24.6%students (n = 97) wereWhite, 25.6% Black (n = 101), 30.5%Hispanic (n = 120), 21 Asian/Pacific Islander (n = 21), 0.8%American Indian (n = 3), 0.5% Arabic American (n = 2),and 12.7%mixed race (n = 50). This studywas approved bythe University Institutional Review Board and the ResearchCommittee of the school districts in which these fiveschools were located. All participants returned the signedparent/guardian consent form and student assent form.

Variables and measures

Autonomous motivation toward PAAutonomous motivation for PA was measured usingthe Behavioral Regulation in Exercise Questionnaire(BREQ) (Wilson, Rodgers, & Fraser, 2002). The term“exercise” was explained at the top of the questionnaireto inform the students that exercise in this question-naire refers to any structured and unstructured physical

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activities. The BREQ scores were converted into onecomposite score named as the relative autonomy index(RAI) to represents students’ autonomous motivationfor PA (Vallerand, 1997).

BREQ includes 15 items measuring intrinsic motiva-tion (four items, e.g., I exercise because it is fun),identified regulation (four items, e.g., I value the bene-fits of exercise), introjected regulation (three items, e.g.,I feel guilty when I do not exercise), and externalregulation (four items, e.g., I exercise because otherpeople say I should). Each item is scored usinga 5-point Likert-type scale ranging from 0 (not truefor me) to 4 (very true for me). This scale has demon-strated satisfactory internal consistency reliability (α=.65-.93) and construct validity when used to measureadolescents’ autonomous motivation toward PA(Hagger et al., 2009; Wilson et al., 2002).

The composite score of RAI for PA has been used torepresent autonomous motivation toward PA (e.g.,Hagger et al., 2009). RAI for PA was calculated based onthe BREQ scores using this formula: RAI = 2× Intrinsicmotivation + 1× Identified regulation − 1× Introjectedregulation − 2× External regulation (Hagger et al., 2009).

Out-of-school PAStudents’ out-of-school PA was operationalized as thetime students spent in PA during the out-of-schoolhours. It was measured using the modified Three-DayPhysical Activity Recall (3DPAR) survey (Weston,Petosa, & Pate, 1997). This survey asks students forthe types and time duration of PA during out-of-school hours. This instrument demonstrated strongevidence for test–retest reliability (r = .98) and concur-rent validity (r = .77 with accelerometers) in adoles-cents (Weston et al., 1997). The 3DPAR has been usedto measure students’ out-of-school PA in recent years(e.g., Chen et al., 2014).

Autonomous motivation for PEAutonomous motivation for PE was measured using therevised Perceived Locus of Causality Scale (PLOCS)(Vlachopoulos, Katartzi, Kontou, Moustaka, & Goudas,2011). The 15-item scale measures intrinsic motivation(4items, e.g., I participate in physical education becausephysical education is enjoyable), identified regulation (4items, e.g., I participate in physical education because it isimportant to me to do well in physical education), intro-jected regulation (4 items, e.g., I participate in physicaleducation because I would feel bad if the teacher thoughtI am not good at physical education), and external regula-tion (3 items, e.g., I participate in physical educationbecause in this way I will not get a low grade). Eachitem was scored using a 7-point Likert-type scale ranging

from 0 (Not at all true for me) to 6 (Absolutely true forme). The revised PLOCS has demonstrated plausible con-struct validity and reliability in children and adolescents(Vlachopoulos et al., 2011).

Relative autonomy index (RAI) was used to repre-sent students’ autonomous motivation for PE. The RAIwas calculated using the following formula: RAI = 2 ×Intrinsic motivation + 1× Identified regulation − 1×Introjected regulation − 2× External regulation.

Knowledge about PA and fitnessStudents’ knowledge about PA and fitness was measuredusing a 25-item, multiple-choice knowledge test. Theknowledge domains measured include concepts aboutPA (e.g., intensity, duration) and health-related fitness(e.g., cardiorespiratory fitness), exercise principles (e.g.,principles of overload), PA recommendations, and self-management concepts (e.g., SMART goal). These itemswere selected from a knowledge question bank validatedduring the Science of Healthful Living project (Ennis,2015). The following describes the validation process foreach item.

Each question item was reviewed and determined byexercise physiologists and PE experts (n = 7) for contentaccuracy. All the experts were associate or full professorsfrom departments of kinesiology and had published 10more articles in their field. All experts rated each questionitem on a 5-point scale to indicate the knowledge accuracy(1 = “inaccurate”, 5 = “accurate”) and language appropri-ateness (1 = “inappropriate”, 5 = “appropriate”). Questionitems that were rated below 5 by one ormore experts werediscussed, revised, and rated again. Questions thatachieved a score of five by all experts were entered thequestion bank for field-testing. The field test was con-ducted in a group of students (n = 330) for further item-analysis. Questions with a difficulty index between .45-.65and discrimination index greater than .40 were kept in thequestion bank for use.

Data collection

Data were collected by the researchers in person. PEteachers assisted in class organizations. A plannedsequence was followed to minimize threats to datareliability and data contamination. PLOCS and BREQwere administered first in one PE class session.A counter-balanced sequence was used to control forpossible confounding of administering the two motiva-tion scales (PLOCS and BREQ). Then, the knowledgetest was administered in another PE class session. Thissequence was purposely arranged so that students’response to the motivation scales would not be affectedby the questions in the knowledge test. The Three-Day

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Physical Activity Recall (3DPAR) surveys were admi-nistered during the next 2 weeks. Daily out-of-schoolPA recall was conducted three times during the 2 weeksfor the students to record out-of-school activities ontwo weekdays and one weekend day (Sunday in thisstudy). Prior to data collection, the students wereinstructed and practiced on how to document andrecall their out-of-school activities. Students’ questionswere addressed immediately during the data collectionby the researchers.

Data analysis

To determine whether multi-level analysis is needed, theintra-class correlations (ICC) of all variableswere calculatedat the class and school level using the following formula: ρ=(MSb—MSw)/(MSb + (n-1)MSw) (ρ refers to intra-correlation coefficient; MSb is between-groupmean square;MSw is within-group mean square; n is number of groups)(Chen & Zhu, 2001). The class-level ICCs for knowledge,autonomous motivation for PE, autonomous motivationfor PA, and out-of-school PA were .093, .017, .023, and.003, respectively. The school-level ICCs for knowledge,autonomous motivation for PE, autonomous motivationfor PA, and out-of-school PA were .285, .005, .018, and.009, respectively. Huitema, Mckean, and Mcknight (1999)have recommended that when the ICC coefficient is lessthan .10, the assumption of independent observation can beconsidered met, and individual scores can be used foranalysis. In this study, all ICCs were less than .10 exceptfor the school-level ICC for knowledge, which suggest thatonly individual students’ knowledge data can be consideredto be nested under schools. Although using a multi-levelanalysis model might address potential bias from theknowledge variable (Maas & Hox, 2005), the trade-offwould be losing effects from individual students on thetested a priori model. We eventually chose not usingamulti-level model in this analysis to preserve interpretableresults because motivation is an individual-level mentalprocess and was the focus of this study. The reader shouldbe cautious with making their own interpretation of theresults and advised to consult findings fromother studies tomake their final determination on “PE effects.”

To answer the research questions, the a priori model(Figure 1) was analyzed by testing the paths betweenthe four variables. The structural equation modeling(SEM) was used to test the a priori model and itscompeting model. Because all variables were repre-sented using a composite score, no latent factors to beestimated in the a priori model. Thus, a SEM-basedpath modeling analysis was used to answer the researchquestions.

Before testing the model and its alternatives, the uni-variate normality and multivariate normality werechecked. The a priori model was a full, saturated modelin which all direct effects were assumed and tested. Onecompeting model of the full model was generated andtested in which the direct effects of knowledge and auton-omous motivation for PE on out-of-school PA were notassumed. This competing model was generated based onthe following rationale: (a) the model would fit the theo-retical propositions of the two-pathway model of the “PEeffect”; (b) the model was a more parsimonious modelbased on the suggestions of the modification indices. Totest the model fit, the following indices were used: Chi-square (p> .05), RMSEA (<.08), SRMR (<.08), and CFI(>.90) (Kline, 2011). The SEM was conducted usingLISREL 9.30. Hayes’ PROCESS macro v3.3 for IBMSPSS (Hayes, 2013) was used to test the indirect effectsinvolved in the model. PROCESS used the bootstrapmethod for inferential test of the indirect effects; thenumber of bootstrap samples in the current study was5000, as recommended by Hayes (2013).

Results

Table 1 shows the descriptive results of all the variables ofthis study. On average, participants answered 41% of theknowledge items correct. On average, the students spentmore than 1 hour per day (71.54 ± 63.39 min) on PAoutside of the school. During this time, 25.32 min werespent on sport, 22.22 on fitness, and 24.00 on other PA suchas walk the dog, shopping, or housework. Table 2 shows thebinary correlations of all variables. Knowledge about PAand fitness was weakly correlated to autonomous motiva-tion for PA (r = .19, p < .05) and had no significant relation-ship with autonomous motivation for PE (r = .004, p > .05)and out-of-school PA (r = .01, p > .05). Out-of-school PAwas weakly correlated to autonomous motivation for PE (r= .13, p < .05) and PA (r = .14, p < .05). Autonomousmotivation for PE was moderately correlated with autono-mous motivation for PA (r = .42, p < .05).

Before conducting path modeling analysis, we firstchecked univariate normality based on skewness andkurtosis indexes. The results indicated that the

Table 1. Descriptive statistics for all variables.Variable Mean SD Skew Kurt

Knowledge .41 .17 .46 −.30RAI-PE 2.47 5.27 .47 −.10RAI-PA 4.07 3.24 .02 −.43OS-PA (minutes/day) 71.54 63.39 1.18 1.58Sport 25.32 44.60 2.53 8.66Fitness 22.22 33.79 2.88 13.28Other PA 24.00 35.94 1.97 4.09

SD = standard deviation; Skew = skewness; Kurt = kurtosis; PA = physicalactivity; PE = physical education; OS-PA = out-of-school physical activity.

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univariate normality assumption was met based on thecriterion of skewness ranging between −3 and 3 andkurtosis between −7 and 7 (Kline, 2011). We thenchecked the multivariate normality based onMahalanobis distance. Mahalanobis distance was testedusing the Chi-square test with a critical value of .001 todetermine the multivariate outliers (Kline, 2011). Twocases were identified as multivariate outliers (p < .001).We then conducted a verification with the originalresponses from these two students’ scores and deter-mined that these two outliers were not the result ofincorrect data entry. The two outliers were then keptfor analysis.

Figure 2a and Table 3 shows the results of thea priori model. The results showed that knowledgeabout PA and fitness had significant direct effects onautonomous motivation toward PA (β = .19, p < .05);so did autonomous motivation for PE on autonomousmotivation toward PA (β = .41, p < .05). Both indepen-dent variables explained 21% variance of autonomousmotivation for PA. Knowledge about PA and fitnessand Autonomous motivation for PE did not have

significant direct effects on out-of-school PA (β =−.01 and .09, p> .05; respectively). Autonomous moti-vation for PA had a significant direct effect on out-of-school PA (β = .11, p < .05). All three variablesexplained 3% variance of out-of-school PA. We thenremoved the outliers in a diagnostic attempt as sug-gested by Kline (2011), and found the similar results.

The a priorimodel is statistically saturated, which maylead to erroneous model-data fit results. We then con-structed a parsimoniousmodel, shown in Figure 2b, basedon the results of the a priori model. In this model, thedirect path coefficients from knowledge about PA andfitness and autonomous motivation for PE to out-of-school PA were fixed as 0. The test results from thisparsimonious model showed that it fitted the data verywell with the following fit indices: χ2 = 2.80, df = 2, p = .25;RMSEA = .03; CFI = .99; SRMR = .03. The standardizedpath coefficients are shown in Table 4. These resultsindicate that knowledge about PA and fitness and auton-omous motivation for PE had significant direct effects onautonomous motivation toward PA (β = .19 and .41,respectively, p < .05); Autonomous motivation towardPA had a significant direct effect (β = .14, p < .05) on out-of-school PA. The SEM analysis without the outliersshowed similar results. The Hayes’ PROCESS mediationmodel analysis was conducted to determine the indirecteffects of knowledge and autonomous motivation for PEon out-of-school PA. The results showed that knowledgeabout PA and fitness had small, but significant indirecteffect on out-of-school PA through influencing

Table 2. Correlation matrix of all variables.Variable Knowledge OS-PA RAI-PE

Knowledge 1OS-PA .01 1RAI-PE .00 .13** 1RAI-PA .19** .14** .42**

PA = physical activity; PE = physical education; OS-PA = out-of-schoolphysical activity; **, p< .01

(a)

(b)

Knowledge

Autonomous Motivation PA

Autonomous Motivation PE

Out-of-school PA.11*

Knowledge

Autonomous Motivation PA

Autonomous Motivation PE

Out-of-school PA.14*

Figure 2. Results from path analysis. Solid lines signify direct effect paths; broken lines indirect effect paths. PE: Physical education;PA: Physical activity; path coefficients are standardized coefficients; * p < .05; ** p < .01. (a) The SEM results of the a priori model. PE:Physical education; PA: Physical activity; ** p < .01, * p < .05. (b) The SEM results of the parsimonious model.

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autonomousmotivation for PA (indirect effect = .02, SE =.01, 95% Confidence Interval = [.0007, .0424], p < .05), sodid autonomous motivation for PE (indirect effect = .04,SE = .02, 95% Confidence Interval = [.0020, .0896],p < .05).

Discussion

The purpose of this study was to identify and verifythe two pathways simultaneously to determine thetenability of a two-pathway model of the “PE effect”.These results indicate that the two-pathway model ofthe “PE effect” is tenable in terms of knowledge aboutPA and fitness and autonomous motivation for PE.Specifically, we found that the students’ knowledgeabout PA and fitness had a direct effect on theirautonomous motivation toward PA and a small butsignificant indirect effect on out-of-school PA throughinfluencing autonomous motivation toward PA. Theirautonomous motivation for PE had a direct effect ontheir autonomous motivation toward PA and a smallbut significant indirect effect on out-of-school PAthrough autonomous motivation toward PA. Anothernoticeable result is that knowledge about PA and fit-ness was not significantly related to autonomous moti-vation for PE. One plausible reason could be thatstudents in this study were studying the multi-activity PE curriculum in which knowledge learningwas not emphasized. Students’ knowledge about PA,therefore, may not influence or be influenced by theirmotivation in PE.

Knowledge and out-of-school PA

The relationship between knowledge and PA behavior hasbeen debated for some time due to inconsistent researchfindings. Some scholars (e.g., Ajzen, Joyce, Sheikh, &Cote,2011) suggest that knowledge does not influence behavior,while others argue that relevant knowledge has the poten-tial to impact behavior change because behavior change isrooted in and derived from people’s cognition (Ennis,2007; von Glasersfeld, 1995). Our findings indicate thatknowledge about fitness and actual PA behavior haveaweak positive relationship. The finding can be significantin that the type of knowledge should be a central focus indesigning and developing future physical education curri-cula to promote self-initiated motivation and behavior forlifelong physical activity (Ennis, 2015).

Most previous studies examining the relationshipbetween knowledge about PA and fitness and PA assumedthat knowledge would have a direct effect on behavior (e.g.,Erwin & Castelli, 2008; Haslem, Wilkinson, Prusak,Christensen, & Pennington, 2016). Two types of researchdesigns were mainly used in these studies. The first wasa group comparison design—comparing the PA levelbetween students who have high knowledge level andstudents who have low knowledge level. Several studiesshowed positive results using this research design. Forexample, Thompson and Hannon (2012) found that stu-dents who demonstrated high level of health-related fitnessknowledge reported higher PA level than students who hadlow level of knowledge. Chen et al. (2017) also found thatstudents in a high knowledge group had higher level out-of-school PA than students in a low knowledge group.

Table 3. Model summary of the priori model.Dependent variable

RAI-PA OS-PA

Independent Variable β t p β t p

Knowledge .18 4.09 <.01 −.01 −.36 >.05RAI-PE .41 9.21 <.01 .09 1.66 >.05RAI-PA – – – .11 2.13 <.05

R2 = .21 R2 = .03F(2, 391) = 51.24, p < .01 F(3, 390) = 3.56, p < .01

PA = physical activity; PE = physical education; OS-PA = out-of-school physical activity.

Table 4. Model summary of the parsimonious model.Dependent variable

RAI-PA OS-PA

Independent Variable β t p β t p

Knowledge .18 4.09 <.01 – – –RAI-PE .41 9.21 <.01 – – –RAI-PA – – – .14 2.81 <.05

R2 = .21 R2 = .02F(2, 391) = 51.24, p< .01 F(1, 392) = 7.92, p< .05

PA = physical activity; PE = physical education; OS-PA = out-of-school physical activity.

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The second type of research design was the correla-tional design—using knowledge about PA and fitness todirectly predict PA behavior. Most studies adopting thistype of design did not find significant results (e.g.,Chen et al., 2017; Haslem et al., 2016). The debateabout the relationship between knowledge about PAand fitness and PA behavior mainly results from thedifferent findings of these two types of research studies.

Our findings suggest that the seemingly different find-ings of previous studies may not be contradictory to eachother. That knowledge about PA and fitness did not showa direct effect on out-of-school PA (see Figure 2a) is con-sistent with the findings of previous studies using the cor-relational designs. But we did find a small but significantindirect effect of knowledge about PAand fitness on out-of-school PA through influencing autonomous motivationtoward PA. This could be a plausible explanation for thefindings from group comparison studies. Generally, thesefindings indicate that knowledge about PA and fitness doesnot directly influence out-of-school PA. Instead, it indir-ectly influences out-of-school PA. PA motivation could beone significantmediator of the indirect effect. Themechan-ism of positive relationship between knowledge and auton-omous motivation toward PA could be that students’knowledge about PA (e.g., concepts about PA and health-related fitness, benefits of PA, principles about developingPA plan, and strategies about self-management) increasestheir perceived competence and autonomy for PA, whichenhances their autonomous motivation toward PA beha-vior. Future studies are needed to confirm this mechanism.

Our findings, to some extent, confirm the assumptionof the situational-to-self-initiated motivation model thatknowledge learning in PE can help students develop self-initiated motivation toward PA that leads to behaviorchange (Chen & Hancock, 2006). Ennis (2015) suggestedthat knowledge can increase the meaningfulness of thebehavior through empowering people to know what andwhy to do and when and how to perform. Learningknowledge about PA and fitness can help develop andsustain students’ rational and voluntary participation inphysical activities. Learning knowledge in PE could beone way for the “PE effect” to emerge. But it is importantto for readers to note that the effects of knowledge on out-of-school PA was small. Future studies should integrateanother important learning component in PE—motorskill—to see how motor skill influences motivationtoward PA and subsequently influences out-of-school PA.

Autonomous motivation for PE and out-of-schoolPA

It appears that autonomous motivation for PE did nothave a direct effect on out-of-school PA (see Figure 2a).

But it did show a small but significant indirect effect onout-of-school PA through positively influencing auton-omous motivation toward PA. These findings are con-sistent with previous findings (e.g., Hagger &Chatzisarantis, 2016). The indirect effect of autono-mous motivation for PE on out-of-school PA has alsobeen found in many other studies guided by either thetrans-contextual model or the self-determination the-ory (e.g., Timo, Sami, Anthony, & Jarmo, 2016).

Autonomousmotivation is driven by the satisfaction ofthe needs for competence, autonomy, and relatedness andis manifested in three forms—identified regulation, inte-grated regulation, and intrinsic motivation (Deci & Ryan,2000). Studies have shown that a high level of autono-mous motivation can lead to adaptive outcomes such ashigh levels of enjoyment, engagement, achievement, per-formance, and wellbeing (e.g., Black & Deci, 2000). Deciand Ryan (2000) suggest that the adaptive outcomesexperienced when engaging in autonomously motivatedactivity tends to increase one’s desire to further experi-ence the outcomes by engaging in similar activities irre-spective of the context. The mechanisms underpinningthis process are psychological need satisfaction and inter-nalization. Our findings seem to strengthen the notion,when a student experiences an activity that satisfies theirpsychological needs in an educational context, he/she islikely to internalize the activity into his/her repertoire ofactivities that satisfy his/her needs. It can be furtherspeculated that the student would tend to actively pursuitsimilar activities in other contexts such as in home or thecommunity as articulated by Chen and Hancock (2006).

One noticeable aspect of the finding is that theindirect effect may be small. In our study, the indirecteffect was .04 and in Hagger and Chatzisarentis’ meta-analysis study, the average indirect effect was .06. Itindicates that although increasing students’ autono-mous motivation in PE may contributes to their out-of-school PA, the contribution may be very limited.

It is important to acknowledge that in our study thepathway of autonomous motivation for PE in the two-pathway model was derived from the trans-contextualmodel. Because the goal of this study was to summarizethe theoretical propositions that relate to the “PE effect”and advance a general conceptual framework to furtherunderstand the “PE effect”, other mediators (e.g., attitude,perceived control, and subjective norm) proposed in thetrans-contextual model were not included in this study.

Learning knowledge in an autonomy-supportive PEenvironment

Chen, Martin, Sun, and Ennis (2007) suggest that twoapproaches are commonly used in PE curriculum to

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change students’ PA behavior. The first is the behavior-ist approach which focuses on promoting in-class PAlevels for students to receive immediate health benefitsin PE. Studies have shown that this approach may beineffective in term of influencing out-of-school PA andmay have a negative impact on children’s motivationfor future PA participation (Xiang, Chen, & Bruene,2005). The other approach is the cognition-basedapproach which focuses on teaching the fact, concepts,and principles about PA and fitness. Although limited,research studies have shown that this type of PE curri-culum is effective to influence the long-term PA parti-cipation among high school (Dale & Corbin, 2000) andcollege students (Slava, Laurie, & Corbin, 1984). Thesefindings further indicate the contributive role of learn-ing knowledge in PE for “PE effect” to emerge.

The findings from this study indicate that learningknowledge and increasing autonomous motivation inPE could be two ways to influence students’ PA beha-vior outside of the school. It implies that learningknowledge in an autonomy-supportive environmentmay be an effective way to promote students’ out-of-school PA. Ennis (2017) suggested that as we move intothe twenty-first century, effective teaching in PE shouldtransform from focusing on students and teachers’ in-class behavior to students’ PA behavior outside of theschool. She further proposed that transformative PEcurricula are needed to change students’ lives and leadto physically active lifestyles. Our findings imply thatknowledge and autonomous-support learning environ-ment should be the basis for the development of trans-formative PE.

Conclusion

In this study, a two-pathway model of the “PE effect”was proposed and tested. The results showed that thetwo-pathway model of the “PE effect” was tenable interms of knowledge learning and autonomous moti-vation in PE. Specifically, it showed that students’knowledge had a direct effect on their autonomousmotivation toward PA and a small but significantindirect effect on out-of-school PA through influen-cing autonomous motivation toward PA. Students’autonomous motivation for PE had a direct effecton their autonomous motivation toward PA anda small but significant indirect effect on out-of-school PA through autonomous motivation towardPA. These findings imply that teaching knowledgein an autonomy-supportive PE environment may bean effective way to promote students’ out-of-schoolPA behavior.

What does this article add?

This article has provided an integrated conceptual fra-mework, the two-pathway model of “PE effect”, tofurther our understanding about how PE can influencestudents’ PA behavior outside of the school. Findingsreported in this article suggest that knowledge andautonomous motivation can be two foundations forthe development of transformative PE. In addition tothe contribution to the “PE effect” research, this articlealso contributed to the research about the relationshipbetween knowledge and behavior change by providingnew explanations about the contradictory findings fromprevious studies.

Funding

This study was approved by IRB of University of NorthCarolina at Greensboro. Research reported in this articlewas supported in part by the National Institutes of Healthunder award number R25OD011063 and the SHAPEAmerica Research Grant Program.

References

Ajzen, I. (1991). The theory of planned behavior.Organizational Behavior and Human Decision Processes,50, 179–211. doi:10.1016/0749-5978(91)90020-T

Ajzen, I., Joyce, N., Sheikh, S., & Cote, N. G. (2011).Knowledge and the prediction of behavior: The role ofinformation accuracy in the theory of planned behavior.Basic and Applied Social Psychology, 33(2), 101–117.doi:10.1080/01973533.2011.568834

Black, A. E., & Deci, E. L. (2000). The effects of studentself-regulation and instructor autonomy support on learn-ing in a college-level natural science course: Aself-determination theory perspective. Science Education,84, 740–756. doi:10.1002/1098-237X(200011)84:6<740::AID-SCE4>3.0.CO;2-3

Chen, A., & Hancock, G. R. (2006). Conceptualizinga theoretical model for school-centered adolescent physicalactivity intervention research. Quest, 58(3), 355–376.doi:10.1080/00336297.2006.10491887

Chen, A., Martin, R., Sun, H., & Ennis, C. D. (2007). Isin-class physical activity at risk in constructivist physicaleducation? Research Quarterly for Exercise and Sport, 78(5), 500–509. doi:10.1080/02701367.2007.10599449

Chen, A., & Zhu, W. (2001). Revisiting the assumptions forinferential statistical analyses: A conceptual guide. Quest,53(4), 418–439.

Chen, S., Liu, Y., & Schaben, J. (2017). To move more and sitless: Does physical activity/fitness knowledge matter inyouth? Journal of Teaching in Physical Education, 36(2),142–151. doi:10.1123/jtpe.2016-0137

Chen, S., Sun, H., Zhu, X., & Chen, A. (2014). Relationshipbetween motivation and learning in physical educationand after-school physical activity. Research Quarterly forExercise and Sport, 85(4), 468–477. doi:10.1080/02701367.2014.961054

206 Y. WANG AND A. CHEN

Page 12: Two Pathways Underlying the Effects of Physical Education ... · Two Pathways Underlying the Effects of Physical Education on Out-of-School Physical Activity Yubing Wanga and Ang

Corbin, C. B. (2002). Physical activity for everyone: Whatevery physical educator should know about promotinglifelong physical activity. Journal of Teaching in PhysicalEducation, 21(2), 128–144. doi:10.1123/jtpe.21.2.128

Dale, D., & Corbin, C. B. (2000). Physical activity participa-tion of high school graduates following exposure to con-ceptual or traditional physical education. ResearchQuarterly for Exercise and Sport, 71(1), 61–68.doi:10.1080/02701367.2000.10608881

Deci, E. L., & Ryan, R. M. (2000). The “What” and “Why” ofgoal pursuits: Human needs and the self-determination ofbehavior. Psychological Inquiry, 11, 227–268. doi:10.1207/S15327965PLI1104_01

Ennis, C. D. (2007). 2006 C. H. McCloy research lecture:Defining learning as conceptual change in physical educa-tion and physical activity settings. Research Quarterly forExercise and Sport, 78, 138–150. doi:10.1080/02701367.2007.10599411

Ennis, C. D. (2010). On their own: Preparing students for alifetime. Journal of Physical Education, Recreation &Dance, 81(5), 17–22.

Ennis, C. D. (2015). Knowledge, transfer, and innovation inphysical literacy curricula. Journal of Sport and HealthScience, 4(2), 119–124. doi:10.1016/j.jshs.2015.03.001

Ennis, C. D. (2017). Educating students for a lifetime ofphysical activity: Enhancing mindfulness, motivation, andmeaning. Research Quarterly for Exercise and Sport, 88(3),241–250.

Erwin, H. E., & Castelli, D. M. (2008). National physical educa-tion standards: a summary of student performance and itscorrelates. Research Quarterly for Exercise and Sport, 79(4),495–505. doi:10.1080/02701367.2008.10599516

González-Cutre, D., Sicilia, A., Beas-Jiménez, M., &Hagger, M. S. (2014). Broadening the trans-contextualmodel of motivation: A study with Spanish adolescents.Scandinavian Journal of Medicine & Science in Sports, 24(4), e306–e319. doi:10.1111/sms.12142

Green, K. (2014). Mission impossible? Reflecting upon therelationship between physical education, youth sport andlifelong participation. Sport, Education and Society, 19(4),357–375. doi:10.1080/13573322.2012.683781

Hagger, M., Chatzisarantis, N. L., Hein, V., Soós, I., Karsai, I.,Lintunen, T., & Leemans, S. (2009). Teacher, peer andparent autonomy support in physical education andleisure-time physical activity: A trans-contextual model ofmotivation in four nations. Psychology and Health, 24(6),689–711. doi:10.1080/08870440801956192

Hagger, M. S., & Chatzisarantis, N. L. (2012). Transferringmotivation from educational to extramural contexts:A review of the trans-contextual model. European Journalof Psychology of Education, 27(2), 195–212. doi:10.1007/s10212-011-0082-5

Hagger, M. S., & Chatzisarantis, N. L. (2016). Thetrans-contextual model of autonomous motivation in edu-cation: Conceptual and empirical issues and meta-analysis.Review of Educational Research, 86(2), 360–407.doi:10.3102/0034654315585005

Haslem, L., Wilkinson, C., Prusak, K. A., Christensen, W. F.,& Pennington, T. (2016). Relationships betweenhealth-related fitness knowledge, perceived competence,self-determination, and physical activity behaviors of high

school students. Journal of Teaching in Physical Education,35(1), 27–37. doi:10.1123/jtpe.2014-0095

Hayes, A. F. (2013). Introduction to mediation, moderation,and conditional process analysis: A regression-basedapproach. New York, NY: Guilford.

Huitema, B. E., Mckean, J. W., & Mcknight, S. (1999).Autocorrelation effects on least-squares interventionanalysis of short time series. Educational andPsychological Measurement, 59(5), 767–786.doi:10.1177/00131649921970134

Keating, X. D., Harrison, L., Chen, L., Xiang, P., Lambdin, D.,Dauenhauer, B., … Piñero, J. C. (2009). An analysis ofresearch on student health-related fitness knowledge in K–16 physical education programs. Journal of Teaching inPhysical Education, 28(3), 333–349.

Kline, R. B. (2011). Principles and practice of structural equa-tion modeling (3rd ed.). New York, NY: The GuilfordPress.

Maas, C. J., & Hox, J. J. (2005). Sufficient sample sizes formultilevel modeling. Methodology, 1(3), 86–92.doi:10.1027/1614-2241.1.3.86

Penney, D., & Jess, M. (2004). Physical education and physi-cally active lives: A lifelong approach to curriculumdevelopment. Sport, Education and Society, 9(2), 269–287.doi:10.1080/1357332042000233985

Reeve, J. (2009). Why teachers adopt a controlling motivatingstyle toward students and how they can become moreautonomy supportive. Educational Psychologist, 44(3),159–175. doi:10.1080/00461520903028990

Slava, S., Laurie, D. R., & Corbin, C. B. (1984). Long-termeffects of a conceptual physical education program.Research Quarterly for Exercise and Sport, 55(2), 161–168.doi:10.1080/02701367.1984.10608393

Sun, H., Chen, A., Zhu, X., & Ennis, C. D. (2012).Curriculum matters: Learning science-based fitness knowl-edge in constructivist physical education. The ElementarySchool Journal, 113(2), 215–229.

Thompson, A., & Hannon, J. C. (2012). Health-related fitnessknowledge and physical activity of high school students.Physical Educator, 69, 71–88.

Timo, J., Sami, Y. P., Anthony, W., & Jarmo, L. (2016).Perceived physical competence towards physical activity,and motivation and enjoyment in physical education aslongitudinal predictors of adolescents’ self-reported physi-cal activity. Journal of Science and Medicine in Sport, 19(9),750–754. doi:10.1016/j.jsams.2015.11.003

Vallerand, R. J. (1997). Towards a hierarchical model ofintrinsic and extrinsic motivation. Advances inExperimental Social Psychology, 29, 271–360.

Vlachopoulos, S. P., Katartzi, E. S., Kontou, M. G.,Moustaka, F. C., & Goudas, M. (2011). The revised per-ceived locus of causality in physical education scale:Psychometric evaluation among youth. Psychology ofSport and Exercise, 12(6), 583–592. doi:10.1016/j.psychsport.2011.07.003

von Glasersfeld, E. (1995). Radical constructivism: A way ofknowing and learning. Bristol, PA: The Falmer Press.

Weston, A. T., Petosa, R., & Pate, R. R. (1997). Validation ofan instrument for measurement of physical activity inyouth. Medicine & Science in Sports & Exercise, 29,138–143. doi:10.1097/00005768-199701000-00020

RESEARCH QUARTERLY FOR EXERCISE AND SPORT 207

Page 13: Two Pathways Underlying the Effects of Physical Education ... · Two Pathways Underlying the Effects of Physical Education on Out-of-School Physical Activity Yubing Wanga and Ang

Wilson, P. M., Rodgers, W. M., & Fraser, S. N. (2002).Examining the psychometric properties of the behavioralregulation in exercise questionnaire. Measurement inPhysical Education and Exercise Science, 6(1), 1–21.doi:10.1207/S15327841MPEE0601_1

Xiang, P., Chen, A., & Bruene, A. (2005). Interactive impactof intrinsic motivators and rewards on behavior and moti-vation outcomes. Journal of Teaching in PhysicalEducation, 24, 179–197. doi:10.1123/jtpe.24.2.179

Yli-Piipari, S., Layne, T., Hinson, J., & Irwin, C. (2018).Motivational pathways to leisure-time physical activityparticipation in Urban physical education: Acluster-randomized trial. Journal of Teaching in PhysicalEducation, 37(2), 123–132. doi:10.1123/jtpe.2017-0099

Zhu, W., Safrit, M., & Cohen, A. (1999). The national health-related physical fitness knowledge test: FitSmart test usermanual (high school edition). Champaign, IL: HumanKinetics.

208 Y. WANG AND A. CHEN