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Motivating boys and motivating girls: does teacher gender really make a difference?


We explore the impact of student gender, teacher gender, and their interaction on academic motivation and engagement for 964 junior and middle high school students. According to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 the gender-stereotypic model, boys fare better academically in classes taught by males and girls fare better in classes taught by females. The gender-invariant model suggests that the academic motivation and engagement of boys and girls boys and girls

mercurialisannua.
 is the same for men and women teachers. We also examine the relative contribution of student-, class-, and school-level factors, finding that most variation was at the individual student level. Of the statistically significant main effects for gender, most favoured girls. In support of the gender-invariant model, academic motivation and engagement does not significantly vary as a function of their teacher's gender, and in terms of academic motivation and engagement, boys do not fare any better with male teachers than female teachers.

Introduction

Do boys fare best in classes taught by male teachers? Do girls fare best in classes taught by female teachers? In recent years, there has been considerable popular debate around these questions. A recent media release by the Attorney General's Department reported, 'The Government is extremely concerned about the decreasing number of male teachers and male role models, particularly in primary schools and the possible effect on learning and development of both boys and gifts in schools' (Ruddock rud·dock  
n. Chiefly British
An Old World robin (Erithacus rubecula) having olive-brown upper plumage and a conspicuous orange breast.
, 2004). An Australian Labor Party Noun 1. Australian Labor Party - the oldest political party in Australia, founded in 1891; the party is moderately liberal
labor party, labour party - a left-of-center political party formed to represent the interest of ordinary working people
 (2004, p. 14) policy document leading up to the 2004 federal election stated: 'now, more than ever, young boys need contact with men who can offer positive role models and mentor Mentor, in Greek mythology
Mentor (mĕn`tər, –tôr'), in Greek mythology, friend of Odysseus and tutor of Telemachus.
 them in the right direction ... Labor wants to see many more male teachers teaching and making a difference to the lives of young boys in our schools'. There have also been a number of reviews commissioned by government (House of Representatives Standing Committee on Education and Training, 2002; Lingard, Martino, Mills, & Bahr, 2002; Martin, 2002).

The present study seeks to address this debate by specifically examining the impact of student gender (the term 'gender' rather than the term 'sex' is used throughout the article) as a function of teacher gender on academic motivation and engagement. Essentially, it assesses two competing models. The first model can be considered a gender-stereotypic model which suggests that boys fare better in classes taught by males and girls fare better in classes taught by females, extended perhaps by the gender intensification in·ten·si·fy  
v. in·ten·si·fied, in·ten·si·fy·ing, in·ten·si·fies

v.tr.
1. To make intense or more intense:
 principal suggesting that gender-role stereotypes becomes increasingly important with age. The second model can be considered a gender-invariant model which suggests that the motivation and engagement of boys and girls does not significantly vary as a function of their teacher's gender.

Over the past two decades there has been a great deal of research investigating student motivation and engagement. Most of this research (but with important exceptions--Roeser, Eccles Eccles (ek`əlz), town (1991 pop. 37,166), Salford metropolitan district, NW England, in the Manchester metropolitan area on the Manchester Ship Canal. Industries include chemicals, rubber, plastics, textiles, and light and heavy engineering. , & Sameroff, 2000) is conducted on the assumption that motivation is primarily a student-level construct and does not account for the fact that there is also variation at other levels such as at the class and school levels. To date, it appears that most of the multilevel mul·ti·lev·el  
adj.
Having several levels: a multilevel parking garage.

Adj. 1. multilevel - of a building having more than one level
 research has been directed towards academic achievement. In terms of academic achievement, there is existing evidence that a good proportion of the variance The discrepancy between what a party to a lawsuit alleges will be proved in pleadings and what the party actually proves at trial.

In Zoning law, an official permit to use property in a manner that departs from the way in which other property in the same locality
 is explained at the student and class levels (Hill & Rowe, 1996; Rowe & Rowe, 2002).

To complement the existing body of research into the multilevel nature of achievement, the present study applies multilevel statistical procedures to determine the relative contribution of student, class, and school factors in boys' and girls' academic motivation and engagement and, in the same model, determine the relative contribution of student gender and teacher gender across junior and middle high school classes. The findings hold not only pedagogical ped·a·gog·ic   also ped·a·gog·i·cal
adj.
1. Of, relating to, or characteristic of pedagogy.

2. Characterized by pedantic formality: a haughty, pedagogic manner.
 implications for practitioners and researchers, but also have potential to better inform popular debate surrounding sur·round  
tr.v. sur·round·ed, sur·round·ing, sur·rounds
1. To extend on all sides of simultaneously; encircle.

2. To enclose or confine on all sides so as to bar escape or outside communication.

n.
 boys' and girls' educational needs and how these can best be met.

Gender and educational outcomes

There are gender differences on key educational outcomes. For the most part, these differences are not in boys' favour. Indeed, given this, the education of boys has been an issue of ongoing debate, research, and policy implementation over the past decade (Weaver-Hightower, 2003). On average, girls outperform Outperform

An analyst recommendation meaning a stock is expected to do slightly better than the market return.

Notes:
Exact definitions vary by brokerage, but in general this rating is better than neutral and worse than buy or strong buy.
 boys in a greater number of subjects and there are more girls among the higher achieving students (Collins, Kenway, & McLeod, 2000). More females complete school (Department of Education, Training and Youth Affairs, 2000). According to Marks and Fleming Flem·ing , Sir Alexander 1881-1955.

British bacteriologist who discovered penicillin in 1928. He shared a 1945 Nobel Prize for this achievement.
 (1999), the ratio of early school leaving is 3:2 (males: females), although it needs to be noted that many boys leave school to take apprenticeships and when controlling for this factor, the gender gap in early school leaving is smaller. There are markedly higher rates of suspension for boys (Ainley & Lonsdale Lonsdale can refer to: People
  • Angela Lonsdale
  • Bruce Lonsdale
  • Corrine Lonsdale
  • David Lonsdale
  • Derrick Lonsdale
  • Earl of Lonsdale
  • Frederick Lonsdale
  • Gordon Arnold Lonsdale
  • Gordon Lonsdale
  • Harvey Lonsdale Elmes
, 2000). Boys are more negative about school, see homework as less useful, are less likely to ask for help, and are more reluctant to do extra work. Moreover, teachers believe that boys are less able to concentrate, are less determined to solve difficult problems, and are less productive.

The interaction of student and teacher gender

There has been substantial anecdotal evidence anecdotal evidence,
n information obtained from personal accounts, examples, and observations. Usually not considered scientifically valid but may indicate areas for further investigation and research.
 pointing to the need for more male role models in boys' lives. This expressed social and emotional need has filtered into the academic domain and translated into the need for more male teachers in boys' lives. Indeed, in interviews with teachers as well as key researchers and policy makers in the boys' education debate, Martin (2002) found that participants consistently endorsed the need for more male teachers in boys' lives. This, it was considered by participants, was a key element to the success of any boys' education strategy.

However, in the same study, focus groups and interviews with boys themselves indicated no particular preference for male or female teachers on the topic of teaching and learning. Focus groups and interviews with girls derived similar findings. When asked about their most effective teachers, boys and girls were able to identify a solid list of key characteristics reflected in educational research (Hill & Rowe, 1996; Martin, 2002). The gender of the teacher did not emerge in any consistent fashion. Boys and girls were more concerned that their teacher could teach well than whether their teacher was male or female. Interestingly, there was a marginal preference for one gender over the other in relation to personal and emotional issues with boys preferring the involvement of male teachers and girls preferring the involvement of female teachers. Hence, from an academic perspective, boys and girls expressed a preference for a good teacher irrespective of irrespective of
prep.
Without consideration of; regardless of.

irrespective of
preposition despite 
 gender, whereas from an emotional and personal development perspective, the gender of the teacher was partly an issue.

Because these findings were derived from qualitative methods, there is a need for generalisable quantitative work to determine whether and to what extent this occurs on a larger scale. Numerous commentators over the past four decades have noted the benefits to be derived from complementary quantitative and qualitative approaches to educational research (Patton Pat·ton   , Charley 1881-1934.

American blues singer and guitarist who wrote several blues standards, including "Mississippi Boll Weevil Blues," and helped pioneer the Mississippi blues style.
, 2002) and motivation research is no exception (see Martin, Marsh, Williamson Wil·liam·son   , Mount

A peak, 4,382.9 m (14,370 ft) high, in the Sierra Nevada of east-central California.
, & Debus, 2003).

Grade and gender

It appears that grade (year in school) is another significant factor in motivation and engagement. From a motivational perspective, the transition from junior high to middle high can be a difficult one resulting in declines in motivation, engagement, and performance--particularly in mathematics (Jacobs, Lanza Lan·za   , Mario Originally Alfredo Arnold Cocozza. 1921-1957.

American tenor and actor who recorded both popular music and opera. His films include That Midnight Kiss (1946).
, Osgood Osgood may refer to:

In places in the US:
  • Osgood, Idaho, a place in Idaho
  • Osgood, Indiana
  • Osgood, Missouri
  • Osgood, North Dakota
  • Osgood, Ohio
In fiction:
  • Osgood, a lizard from the anime Noozles
, Eccles & Wigfield, 2002). However, motivation and engagement can vary as a function of gender and grade. Martin (2005), for example, found that although both boys' and girls' motivation and engagement is lower in middle high school, only girls' motivation is relatively higher in senior high school. Hence, grade and gender are important elements to include in research on academic motivation and engagement. When studies concentrate on only one and not the other, vital information may be lost as to the level of student motivation and engagement as a function of the independent and interactive effects of gender and grade.

The hierarchical A structure made up of different levels like a company organization chart. The higher levels have control or precedence over the lower levels. Hierarchical structures are a one-to-many relationship; each item having one or more items below it.  nature of motivation and engagement

Duda The Magyar duda—Hungarian duda—(also known as tömlösíp and börduda) is the traditional bagpipe of Hungary. It is an example of a group of bagpipes called Medio-Carparthian bagpipes.  (2001) emphasised the need to evaluate the combined effects and interactions of individual motivation and class-level motivation on a variety of outcome measures as well as the theoretical basis for pursuing such research. She lamented la·ment·ed  
adj.
Mourned for: our late lamented president.



la·mented·ly adv.
, however, that this is rarely pursued in motivational research motivational research
n.
Systematic analysis of the motives behind consumer decisions, used especially by advertisers and marketers to assess attitudes toward products and services. Also called motivation research.
. Duda also indicated that particularly strong class-level effects might override An arrangement whereby commissions are made by sales managers based upon the sales made by their subordinate sales representatives. A term found in an agreement between a real estate agent and a property owner whereby the agent keeps the right to receive a commission for the sale of  the effects of individual orientations, whereas individuals with particularly strong motivation orientations are likely to be less affected by class-level motivation. Although there is a relatively more consistent line of research assessing the hierarchical nature of achievement, there is relatively little that examines the hierarchical nature of motivation and engagement and the issue of class-level motivation in the academic context (Midgley & Urdan, 1995). The present study therefore, not only examines the issue of student and teacher gender in motivation and engagement, but also in the same analysis accounts for the hierarchical structure See hierarchical.  of the data. Hence, the relative contribution of student and teacher gender can be assessed after accounting for variance at student, class, and school levels. This constitutes a powerful analysis of the contribution of teacher and student gender to motivation and engagement.

Present research

The present study explores (a) the extent to which student gender, teacher gender, and their interaction impact on student motivation; (b) the extent to which grade interacts with student gender and teacher gender to impact on motivation; (c) the extent to which motivation and engagement vary at student, class, and school levels; (d) the relative salience sa·li·ence   also sa·li·en·cy
n. pl. sa·li·en·ces also sa·li·en·cies
1. The quality or condition of being salient.

2. A pronounced feature or part; a highlight.

Noun 1.
 of each of these levels and what level accounts for most variance in motivation and engagement; (e) the implications of these findings for educational intervention A procedure used in a lawsuit by which the court allows a third person who was not originally a party to the suit to become a party, by joining with either the plaintiff or the defendant.  aiming to enhance motivation and engagement; and (0 the implications of findings for current thinking and theorising about student motivation and engagement.

Method

Sample and procedure

The present study focuses on Year 8 and Year 10 high school students in their mathematics classes. The sample comprises 964 high school students in Year 8 (60%) and Year 10 (40%) from five Australian Australian

pertaining to or originating in Australia.


Australian bat lyssavirus disease
see Australian bat lyssavirus disease.

Australian cattle dog
a medium-sized, compact working dog used for control of cattle.
 co-educational government schools. Just under half (48%) the respondents In the context of marketing research, a representative sample drawn from a larger population of people from whom information is collected and used to develop or confirm marketing strategy.  were girls and 52% were boys. The mean age of respondents was 14.30 (SD = 1.12) years. In total, 68 classrooms were surveyed. Fifty-five per cent of the teachers teaching the target classes were females and 45 per cent were males.

Teachers administered the Student Motivation and Engagement Scale (Martin, 2001) as well as a set of items capturing other educational constructs of relevance to students during class. The rating scale was first explained and a sample item presented. Students were then asked to complete the instrument on their own and to return the completed instrument to the teacher at the end of class.

Importantly, students rated their mathematics motivation and engagement in their mathematics class.

Materials

The instrument comprised the Student Motivation and Engagement Scale (Martin, 2001, 2003) as well as a set of other constructs deemed to be of relevance to the breadth of students' experience in the classroom.

The Student Motivation and Engagement Scale

The Student Motivation and Engagement Scale is an instrument that measures high school students' motivation and engagement. It is hypothesised to assess motivation through three adaptive cognitive dimensions Cognitive dimensions are design principles for notations & programming language design, described by researcher Thomas R.G. Green. The dimensions can be used to evaluate the usability of an existing interface, or as heuristics to guide the design of a new one. , three adaptive behavioural Adj. 1. behavioural - of or relating to behavior; "behavioral sciences"
behavioral
 dimensions, three impeding im·pede  
tr.v. im·ped·ed, im·ped·ing, im·pedes
To retard or obstruct the progress of. See Synonyms at hinder1.



[Latin imped
 cognitive-affective dimensions, and two maladaptive Maladaptive
Unsuitable or counterproductive; for example, maladaptive behavior is behavior that is inappropriate to a given situation.

Mentioned in: Cognitive-Behavioral Therapy
 behavioural dimensions of motivation and engagement. Each of the 11 factors comprises four items--hence it is a 44-item instrument. To each item, students rate themselves on a scale of I (Strongly Disagree) to 7 (Strongly Agree). Martin (2001) has shown that the Student Motivation and Engagement Scale has a sound factor structure, comprises reliable and approximately normally distributed dimensions, is significantly associated with literacy, numeracy numeracy Mathematical literacy Neurology The ability to understand mathematical concepts, perform calculations and interpret and use statistical information. Cf Acalculia. , and achievement in mathematics and English 1. English - (Obsolete) The source code for a program, which may be in any language, as opposed to the linkable or executable binary produced from it by a compiler. The idea behind the term is that to a real hacker, a program written in his favourite programming language is , and is sensitive to age- and gender-related differences in motivation.

Adaptive dimensions of motivation and engagement

Each adaptive dimension falls into one of two groups: cognitions and behaviours. Adaptive cognitions include self-efficacy self-efficacy (selfˈ-eˑ·fi·k , mastery orientation, and valuing of subject. Adaptive behaviours include persistence (1) In a CRT, the time a phosphor dot remains illuminated after being energized. Long-persistence phosphors reduce flicker, but generate ghost-like images that linger on screen for a fraction of a second. , planning, and study management.

Self-efficacy (e.g., 'If I try hard, I believe I can do my school work well'): Adapted in part from the Midgley et al. (1997) Patterns of Adaptive Learning (algorithm) adaptive learning - (Or "Hebbian learning") Learning where a system programs itself by adjusting weights or strengths until it produces the desired output.  Survey, self-efficacy is students' belief and confidence in their ability to understand or to do well in their schoolwork, to meet challenges they face, and to perform to the best of their ability.

Valuing of subject (e.g., 'Learning in this subject is important to me'): Adapted in part from Pintrich, Smith, Garcia Gar·ci·a   , Jerome John Known as "Jerry." 1942-1995.

American musician who gained fame as the cofounder and lead guitarist of the folk-rock group the Grateful Dead (1965-1995).
, & McKeachie's (1991) Motivated mo·ti·vate  
tr.v. mo·ti·vat·ed, mo·ti·vat·ing, mo·ti·vates
To provide with an incentive; move to action; impel.



mo
 Strategies for Learning Questionnaire, valuing of a subject is how much students believe what they learn in that subject is useful, important, and relevant to them or to the world in general.

Mastery orientation (e.g., 'I feel very pleased with myself when I really understand what I'm taught in this subject'): Adapted in part from Nicholls (1989), mastery orientation is being focused on learning, solving problems, and developing skills,

Planning (e.g., 'Before I start an assignment I plan out how I am going to do it'): Adapted in part from Miller, Greene, Montalvo, Ravindran, & Nichols (1996), planning is how much students plan their schoolwork, assignments, and study and how much they keep track of their progress as they are doing them.

Study management (e.g., 'When I study, I usually study in places where I can concentrate'): Adapted in part from Pintrich et al. (1991), study management refers to the way students use their study time, organise their study timetable, and choose and arrange where they study.

Persistence (e.g., 'If I can't understand my school work at first, I keep going over it until I understand it'): Adapted in part from Miller et al. (1996), persistence is how much students keep trying to work out an answer or to understand a problem even when that problem is difficult or challenging.

Impeding cognitive-affective dimensions

Impeding cognitive-affective dimensions are anxiety, failure avoidance, and uncertain control.

Anxiety (e.g., 'When exams and assignments are coming up, I worry a lot'): Adapted in part from Pintrich and DeGroot (1990), anxiety has two parts: feeling nervous and worrying. Feeling nervous is the uneasy or sick feeling students get when they think about their school work, assignments, or exams. Worrying is their fear about not doing very well in their school work, assignments, or exams.

Failure avoidance (e.g., 'Often the main reason I work in this subject is because I don't want to disappoint dis·ap·point  
v. dis·ap·point·ed, dis·ap·point·ing, dis·ap·points

v.tr.
1. To fail to satisfy the hope, desire, or expectation of.

2.
 my parents'): Adapted from an orientation outlined by Harter, Whitesell and Kowalski (1992), students have an avoidance focus when the main reason they do their school work is to avoid doing poorly or to avoid being seen to do poorly.

Uncertain control (e.g., 'I'm often unsure how I can avoid doing poorly in this subject'): Adapted in part from Connell's (1985) Unknown Cognitive Dimension of the Multidimensional mul·ti·di·men·sion·al  
adj.
Of, relating to, or having several dimensions.



multi·di·men
 Measure of Children's Perceptions of Control (1985), this subscale assesses students' uncertainty about how to do well or how to avoid doing poorly.

Maladaptive behavioural dimensions

Maladaptive behavioural dimensions are self-handicapping and disengagement disengagement /dis·en·gage·ment/ (dis?en-gaj´ment) emergence of the fetus from the vaginal canal.

dis·en·gage·ment
n.
.

Self-handicapping (e.g., 'I sometimes don't study very hard before exams so I have an excuse if I don't do "I Don't Do" was the debut single by glamour model Michelle Marsh, released on 6 November 2006. The single reached 27 in the UK in its first week, selling only 9,000 copies and over 16,000 copies as of January 2007. The single spend a total of four weeks in the Top 75.  as well as I hoped'): Adapted from the Academic Self-Handicapping Scale (Midgley, Arunkumar, & Urdan, 1996) and the Shortened short·en  
v. short·ened, short·en·ing, short·ens

v.tr.
1. To make short or shorter.

2.
 Self-handicapping Scale (Strube, 1986), students self-handicap when they do things that reduce their chances of success at school. Examples are putting off doing an assignment or wasting time while they are meant to be doing their school work or studying for an exam.

Disengagement (e.g., 'I often feel like giving up in this subject'): Students are disengaged dis·en·gage  
v. dis·en·gaged, dis·en·gag·ing, dis·en·gag·es

v.tr.
1. To release from something that holds fast, connects, or entangles. See Synonyms at extricate.

2.
 or at risk of disengagement when they feel like giving up in particular school subjects. Students high levels of disengagement tend to accept failure and behave in ways that reflect helplessness helplessness,
n a perception held by a person because of which he or she feels powerless or unable to act independently. Typically associated with persons diagnosed with chronic disease.
.

Educational 'Outcomes'

In order to conduct a more expansive analysis of the issues under focus, it was also of interest to explore the nature of effects on some other conceptually relevant educational constructs. To this end, the sample also administered items that explored students' enjoyment of the subject (e.g., 'I enjoy this subject'), class participation (e.g., 'I get involved in things we do in class'), educational aspirations aspirations nplaspiraciones fpl (= ambition); ambición f

aspirations npl (= hopes, ambition) → aspirations fpl 
 (e.g., 'I'd like to continue studying or training in this subject after I complete school'), teacher-student relationships (e.g., 'I get along well with my teacher'), and academic resilience resilience (r·zilˑ·yens),
n
 (e.g., 'I think I'm good at dealing with school work pressures'). Psychometric psy·cho·met·rics  
n. (used with a sing. verb)
The branch of psychology that deals with the design, administration, and interpretation of quantitative tests for the measurement of psychological variables such as intelligence, aptitude, and
 properties of these scales are presented below.

Statistical analysis

Data analysis essentially involved two procedures: confirmatory factor analysis In statistics, confirmatory factor analysis (CFA) is a special form of factor analysis. It is used to assess the the number of factors and the loadings of variables.  (CFA (Computer Fraud and Abuse Act of 1986) Signed into law in 1986, the CFA was a significant step forward in criminalizing unauthorized access to computer systems and networks. The Act applies to "federal interest computers" that include any system used by the U.S. ) and multilevel modelling. In the first instance, CFA was conducted to explore the psychometric properties of the instrument under focus. Having established the psychometrics psychometrics

Science of psychological measurement. Psychometricians design and administer psychological tests (see psychological testing), both to generate empirical data on mental processes and to refine their understanding of measurement techniques and the
, the analysis progressed to an assessment of variance as a function of student, class, and school level factors and the relative salience of a set of predictors comprising the main effects of grade, student gender, teacher gender and the interaction of these.

Confirmatory factor analysis

Confirmatory factor analysis (CFA), performed with LISREL LISREL Linear Structural Relations  version 8.54 (Joreskog & Sorbom, 2003), is the primary method used to test the psychometric properties of the Student Motivation and Engagement Scale and the other educational constructs. Maximum likelihood was the method of estimation estimation

In mathematics, use of a function or formula to derive a solution or make a prediction. Unlike approximation, it has precise connotations. In statistics, for example, it connotes the careful selection and testing of a function called an estimator.
 used for the models. In evaluating goodness of fit Goodness of fit means how well a statistical model fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected under the model in question. Such measures can be used in statistical hypothesis testing, e.  of alternative models, the root mean square error of approximation approximation /ap·prox·i·ma·tion/ (ah-prok?si-ma´shun)
1. the act or process of bringing into proximity or apposition.

2. a numerical value of limited accuracy.
 (RMSEA RMSEA Root Mean Square Error of Approximation ) is emphasised. Although the RMSEA is apparently the most widely endorsed criterion of fit, also presented are the non-normed fit index (NNFI NNFI Non-Normed Fit Index (statistics) ), the comparative fit index (CFI CFI
abbr.
cost, freight, and insurance
), the [chi square chi square (kī),
n a nonparametric statistic used with discrete data in the form of frequency count (nominal data) or percentages or proportions that can be reduced to frequencies.
] test statistic statistic,
n a value or number that describes a series of quantitative observations or measures; a value calculated from a sample.


statistic

a numerical value calculated from a number of observations in order to summarize them.
, and an evaluation of parameter (1) Any value passed to a program by the user or by another program in order to customize the program for a particular purpose. A parameter may be anything; for example, a file name, a coordinate, a range of values, a money amount or a code of some kind.  estimates. For RMSEAs, values at or less than .08 and .05 are taken to reflect an acceptably close fit and an excellent fit respectively. The NNFI and CFI vary along a 0 to 1 continuum Continuum (pl. -tinua or -tinuums) can refer to:
  • Continuum (theory), anything that goes through a gradual transition from one condition, to a different condition, without any abrupt changes or "discontinuities"
 in which values at or greater than .90 and .95 are typically taken to reflect acceptable and excellent fits to the data respectively. The EM Algorithm algorithm (ăl`gərĭth'əm) or algorism (–rĭz'əm) [for Al-Khowarizmi], a clearly defined procedure for obtaining the solution to a general type of problem, often numerical.  was used to handle missing data. Only 3.74 per cent of the data were missing and so the EM Algorithm was considered an appropriate procedure. We also explored a variety of alternative approaches to this problem, which showed that results based on the EM algorithm that we used were very similar to those based on the traditional pairwise and listwise deletion deletion /de·le·tion/ (de-le´shun) in genetics, loss of genetic material from a chromosome.

de·le·tion
n.
Loss, as from mutation, of one or more nucleotides from a chromosome.
 methods for missing data--as would be expected to be the case when there was so little missing data.

Multilevel modelling

For the present investigation, the data were conceptualised as a three-level model, consisting of student at the first level, class at the second level, and school at the third level. The multilevel analyses (Goldstein Gold·stein , Joseph Leonard Born 1940.

American biochemist. He shared a 1985 Nobel Prize for discoveries related to cholesterol metabolism.
, 2003; Raudenbush & Bryk, 2002) were conducted using MLwiN version 2.00 (Rasbash, Steele, Browne, & Prosser, 2004). In preliminary analyses, a baseline The horizontal line to which the bottoms of lowercase characters (without descenders) are aligned. See typeface.

baseline - released version
 variance components model (Rasbash et al., 2004) or intercept-only model (Hox, 1995) was used to evaluate how much variation in each of the outcome measures could be attributed to the school (level 3), the class (level 2) and the student (level 1). Following variance components models, the major focus of analyses was on a set of multilevel path models to test the effects of student and teacher gender, grade, and their interactions on various dependent variables. The major analyses consisted of a three-level model, with student at the first level, class at the second level, and school at the third level. For each dependent variable, the predictor variables Noun 1. predictor variable - a variable that can be used to predict the value of another variable (as in statistical regression)
variable quantity, variable - a quantity that can assume any of a set of values
 consisted of student gender, teacher gender, grade level, and the two-way and three-way interactions of these main effect factors.

Several data transformations were conducted to facilitate interpretations and infer interaction effects. We standardised Adj. 1. standardised - brought into conformity with a standard; "standardized education"
standardized

standard - conforming to or constituting a standard of measurement or value; or of the usual or regularized or accepted kind; "windows of standard width";
 (z-scoring) all variables to have M = 0, SD = 1 across the entire sample. Product terms were used to test interaction effects. In constructing these interaction effects, we used the product of individual (z-score Z-Score

A statistical measure that quantifies the distance (measured in standard deviations) a data point is from the mean of a data set. In a more financial sense, Z-score is the output from a credit-strength test that gauges the likelihood of bankruptcy.
) standardised variables. The product terms that were formed were not re-standardised.

Preliminary psychometric properties of the measures

Before conducting the central multilevel analyses, it was first important to establish the psychometric properties of the instrument used. This comprised a 16-factor CFA based on the 44-item Student Motivation and Engagement Scale items and the additional 20 items assessing each of the five additional educational constructs (enjoyment of subject, class participation, academic resilience, teacher-student relationship, and educational aspirations). For mathematics, the CFA yielded an excellent fit to the data ([chi square] = 7458.64, df = 1832, NNFI = .97, CFI = .97, RMSEA = .047). Factor loadings are presented in Table 1. Taken together, the loadings are acceptable. Reliabilities (Cronbach's alpha Cronbach's (alpha) has an important use as a measure of the reliability of a psychometric instrument. It was first named as alpha by Cronbach (1951), as he had intended to continue with further instruments. ) for each scale are presented in Table 1 as well. These data show that each scale can be considered reliable.

Results

Variance components model

Having established the psychometric properties of the instrument, we moved data analysis on to the issues under focus. The first part of this focus involved an assessment of the relative contribution of student-, class-, and school-level variance to the 16 motivation and engagement measures. The variance components model tests for such effects and this is conducted in MLwiN. The 16 measures were computed by aggregating the four items for each factor and then standardising (M = 0, SD = 1) this score. Findings are presented in columns two to four of Table 2. This table displays unstandardised parameters' estimates and the standard error.

Clearly, the bulk of variance is accounted for at the student level. That is, there is greater variation from student to student than there is from class to class or school to school. On some of the measures in mathematics there is significant class-level variance. Specifically, there is significant class-level variation on mastery orientation, self-handicapping, disengagement, enjoyment of the subject, educational aspirations, and teacher-student relationship. Perhaps not surprisingly, where there is class-level variation, it appears to be greatest on the measure of teacher-student relationship which was the only factor on which there was relatively more substantial teacher-level variation.

Multilevel path modelling

The second model under focus built on the variance components model presented above to also include the predictive effects of grade (G), student gender (S), teacher gender (T) and the interactions of these three main effects, G x S, G x T, S x T, and G x S x T. Findings are presented in the second part of Table 2.

There are three major findings from this set of analyses. First, the inclusion of the main and interaction effects do not alter the effects of student- and class-level variance in any substantial way. Second, consistent with this, is the finding that there are relatively few significant main and interaction effects. Third, of all possible S x T and S x T x G effects (that is, interactions involving teacher and student gender), only one statistically significant effect emerged out of 64 that were tested--and on closer inspection, even this one significant effect does not reflect the stereotypical view that boys fare better under male teachers (discussed more fully below).

Grade is a significant predictor of anxiety and academic resilience with Year 10 students scoring higher than Year 8 students on anxiety and Year 8 students scoring higher than Year 10 students on academic resilience. Student gender significantly predicts mastery orientation, study management, anxiety, and academic resilience such that girls score higher than boys on all factors (including anxiety which is not in girls' favour) with the exception of academic resilience where boys score higher than girls. Teacher gender predicts no dependent variables. There is one significant teacher gender x student gender interaction on teacher-student relationship: boys rate their relationship with male and female teachers on fairly equal terms whereas girls rate their relationship with female teachers better than they rate their relationship with male teachers.

Discussion

The present study had two broad aims: (a) to explore the effects of student gender, teacher gender, grade, and their interaction on a set of psychometrically sound and reliable motivation and engagement constructs, and (b) to examine student-, class-, and school-level variance on each of these constructs. There were a few main effects for gender that were mainly in girls' favour with the exception of anxiety and academic resilience. Because there was only one significant interaction, findings demonstrate that boys and girls are no more or less motivated or engaged in classes taught by males than they are in classes taught by females. Hence, the data support the gender-invariant model and call into question the gender-stereotypic model and the gender intensification principal that suggests that gender-stereotypic differences grow larger with age. In terms of the multilevel structure of the data, findings showed that the bulk of variance is accounted for at the student level and on a relatively small set of constructs there was significant variance at the class level. No significant variance was explained at the school level.

Significance of findings

Counter to popular argument that boys fare better academically under male teachers (and that girls fare better under female teachers), it was found that there existed no such significant interaction between student gender and teacher gender. In fact, the only significant interaction that emerged was that girls reported a better relationship with female teachers than with male teachers, while boys reported fairly similar relationships with both female and male teachers. Taken as a whole, this argument supports previous contentions by multilevel research (Hill & Rowe, 1996; Rowe & Rowe, 2002) that where there is a class/teacher impact on academic outcomes, it is probably the nature of pedagogy that is key and not the gender of the person delivering it. This is also consistent with previous qualitative work (Martin, 2002) that shows it is the nature of pedagogy rather than demographic-type variables that students are most concerned about.

Another key finding is that the bulk of variance in motivation and engagement occurs at the student level. Where there was relatively more class-level variance, the construct related more explicitly to class and teacher factors, such as teacher-student relationships where up to a third of the variance was explained at the class level. Hence, on the more mentalistic men·tal·ism  
n.
1. Parapsychological activities, such as telepathy and mind reading.

2. The belief that some mental phenomena cannot be explained by physical laws.
 or intrapsychic intrapsychic /in·tra·psy·chic/ (-si´kik) arising, occurring, or situated within the mind.

in·tra·psy·chic
adj.
Existing or taking place within the mind or psyche.
 dimensions there exists more variance at the student level, and as the construct involves factors external to the individual, the context plays more of a role. This finding holds implications for educational intervention. It suggests that student-level intervention rather than whole-class or whole-school intervention on motivation and engagement will yield the best results.

The findings also provide further direction for intervention by way of the gender differences derived in the multilevel path modelling. As a general rule, where differences occur, they are in girls' favour: girls tend to score higher on a number of adaptive dimensions. However, it is important to note that they also score higher on anxiety. These findings not only support previous work demonstrating gender differences along similar lines (Martin, 2001, 2002, 2005), but extend earlier research because these differences emerged after accounting for variation at student, class, and school levels. Previous research has identified specific student- and class-level intervention aimed at enhancing boys' motivation, while sustaining girls' strengths (Martin, 2001, 2002).

Limitations and future directions

The present study provides much information on the role of student, class, and school-level variance in explaining motivation and engagement in mathematics and also sheds further light on the role of student gender and teacher gender in contributing to students' motivation and engagement. There are, however, a number of potential limitations which are important to consider when interpreting findings and which provide some direction for further research.

The data presented in this study are all self-reported. Although this is a logical and defensible de·fen·si·ble  
adj.
Capable of being defended, protected, or justified: defensible arguments.



de·fen
 methodology in its own right, given the substantive focus, it is important to conduct research that examines the same constructs using data derived from additional sources, for example, that from teachers and parents and also using different methodologies and paradigms such as those using structured interviews or observation to name but two (Martin et al., 2003). Inclusion of achievement data would also be important. Also in relation to the data, it is important to recognise that five schools were involved in the study and so this limits generalisability to other schools and is also thin in terms of a third level of a multilevel analysis. Future research needs to be conducted across more schools.

Further, on this issue of data collection, it is important to recognise that the data were collected at the one time point and so future longitudinal lon·gi·tu·di·nal
adj.
Running in the direction of the long axis of the body or any of its parts.
 work is needed to explore the stability of constructs over time and to provide greater scope to partial out residual variance Residual variance or unexplained variance is part of the variance of any residual. The other part is explained variance. In analysis of variance and regression analysis, residual variance is that part of the variance which cannot be attributed to specific causes.  that in this study was manifested in student-level variance. Employment of longitudinal research also has the potential to clarify and uncover the possible motivational fluctuations across time (Jacobs et al., 2002). Possible change would be particularly interesting to test at critical educational-stage transitions (e.g., junior to middle to senior high school).

A major finding in the present study was that boys and girls are no more or less motivated and engaged in classes taught by females than they are in classes taught by males. This finding runs counter to the gender-stereotypic model and some popular claims and beliefs that boys' (and girls') academic development is dependent on there being ample presence of male (and female) teachers in their academic lives. In relation to this, it is important to consider carefully the generalisability of this finding. First, it does not necessarily apply to younger children because the data collected in this study were from middle and high school students only. Similar research is needed at the elementary school elementary school: see school.  level to ascertain the generalisability of the finding to younger children. Second, it does not necessarily apply to the emotional and personal dimensions of students' byes. It may well be that boys prefer male teachers when dealing with emotional and personal issues just as girls may prefer female teachers on this count. Indeed, previous qualitative work (Martin, 2002) suggests this might be the case.

Conclusion

The present study used multilevel statistical procedures to determine the contribution of student gender and teacher gender across junior and middle high school and the relative salience of student, class, and school variance in boys' and girls' academic motivation and engagement. Of the few significant main effects that emerged, most of them were in girls' favour. Motivation and engagement did not vary substantially for boys and girls as a function of the teacher's gender, thus supporting the gender-invariant model and calling into question the gender-stereotypic model. Findings also demonstrated that the bulk of variance in motivation and engagement occurs at the student level, Relatively few measures yielded significant class-level variance. Taken together, the findings of the present investigation hold substantive and methodological implications for researchers studying issues relevant to motivation and engagement and are also relevant to educators seeking to enhance educational outcomes that rely in large part on the extent to which their students are affectively af·fec·tive  
adj. Psychology
1. Influenced by or resulting from the emotions.

2. Concerned with or arousing feelings or emotions; emotional.
, cognitively, and behaviourally engaged.

Key words

sex differences

educational attitudes

student teacher relationship

student motivation

pedagogy

teacher influence

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validation - The stage in the software life-cycle at the end of the development process where software is evaluated to ensure that it complies with the requirements.
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Midgley, C., Maehr, M., Hicks Hicks   , Edward 1780-1849.

American painter of primitive works, notably The Peaceable Kingdom, of which nearly 100 versions exist.
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Traditional analysis of firm-specific prospects for future earnings. It may be based on data collected by the analysts, there is no formal quantitative framework used to generate projections.
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Dr Andrew Martin
For the protagonist of Isaac Asimov's The Bicentennial Man, see that article.


Andrew Test Martin (born Andrew J. Martin on March 17, 1975 in Whitby, Ontario) is a Canadian professional wrestler.
 is a Postdoctoral post·doc·tor·al   also post·doc·tor·ate
adj.
Of, relating to, or engaged in academic study beyond the level of a doctoral degree.

Noun 1.
 Research Fellow at the SELF Research Centre, University of Western Sydney History
In 1987 the New South Wales Labor government decided to name the planned new university in Sydney's western suburbs Chifley University. When, in 1989, a new Liberal government renamed it the University of Western Sydney, controversy broke out.
, Bankstown Campus, Locked Bag 1797, Penrith South DC NSW NSW New South Wales

Noun 1. NSW - the agency that provides units to conduct unconventional and counter-guerilla warfare
Naval Special Warfare
 1797.

E-mail: a.martin@uws.edu.au Professor Herb Marsh is the founding director of the SELF Research Centre, University of Western Sydney, Bankstown Campus, Locked Bag 1797, Penrith South DC NSW 1797.

E-mail: h.marsh@uws.edu.au Requests for further information about this investigation can be made to Dr Andrew Martin.
Table 1 Factor Loadings and Reliabilities
for the Student Motivation and
Engagement Scale and Educational 'Outcomes'

                               Item 1   Item 2   Item 3

                               Student Motivation and
                               Engagement Scale Factors

Self-efficacy                   .69      .70      .65
Mastery orientation             .68      .72      .76
Valuing of subject              .57      .75      .74
Planning                        .66      .77      .77
Study management                .69      .70      .83
Persistence                     .61      .72      .73
Anxiety                         .75      .69      .55
Failure avoidance               .80      .82      .47
Uncertain control               .64      .67      .75
Self-handicapping               .64      .80      .77
Disengagement                   .62      .72      .71

                               Educational 'Outcomes'

Educational aspirations         .84      .85      .68
Enjoyment of subject            .68      .85      .67
Academic resilience             .67      .69      .71
Class participation             .73      .80      .86
Teacher-student relationship    .77      .85      .78

                               Item 4   Reliability

                               Student Motivation and
                               Engagement Scale Factors

Self-efficacy                   .74      .77
Mastery orientation             .81      .81
Valuing of subject              .68      .76
Planning                        .45      .74
Study management                .72      .82
Persistence                     .77      .80
Anxiety                         .70      .77
Failure avoidance               .61      .76
Uncertain control               .73      .79
Self-handicapping               .73      .82
Disengagement                   .79      .80

                               Educational 'Outcomes'

Educational aspirations         .64      .85
Enjoyment of subject            .79      .84
Academic resilience             .68      .79
Class participation             .79      .87
Teacher-student relationship    .80      .89

Table 2 Parameters Estimates and Standard Errors for
Variance Components and Multilevel Path Models
Variance Components Model Multilevel Path Model
Including Gender and Grade Main and Interaction Effects

                                  Variance Components Model

                            Student          Class          School
                             level           level           level

Self-efficacy             951 (045) *      046 (020)       000 (000)
Valuing of subject        944 (044) *      053 (021)       000 (000)
Mastery orientation       943 (044) *      057 (022) *     000 (000)
Planning                  971 (045) *      028 (016)       000 (000)
Study management          999 (046) *      000 (000)       000 (000)
Persistence               942 (044) *      050 (021)       009 (012)
Anxiety                   975 (046) *      019 (015)       005 (008)
Uncertain control         935 (044) *      058 (023)       007 (011)
Failure avoidance         968 (045) *      033 (017)       000 (000)
Self-handicapping         887 (042) *      122 (034) *     000 (000)
Disengagement             942 (044) *      057 (022) *     000 (000)

                                      Educational "Outcomes"

Class participation       972 (046) *      026 (016)       000 (000)
Enjoy subject             916 (043) *      082 (026) *     000 (000)
Ed aspirations            918 (043) *      080 (026) *     000 (000)
Tch-student r'ship        788 (037) *      206 (049) *     000 (000)
Academic resilience       969 (045) *      024 (016)       006 (009)

                         Multilevel Path Model Including Gender
                         and Grade Main and Interaction Effects

                         Student         Class           School
                         level           level           level

                         Student Motivation and
                         Engagement Scale Factors

Self-efficacy             938 (044) *     -035 (017)       000 (000)
Valuing of subject        932 (044) *     -008 (018)       000 (000)
Mastery orientation       922 (043) *      034 (017)       000 (000)
Planning                  967 (045) *      024 (015)       000 (000)
Study management          983 (045) *      000 (000)       000 (000)
Persistence               936 (044) *      039 (019)       010 (012)
Anxiety                   901 (041) *      000 (000)       003 (005)
Uncertain control         927 (043) *      055 (022)       005 (009)
Failure avoidance         964 (045) *      031 (017)       000 (000)
Self-handicapping         887 (042) *      099 (029) *     000 (000)
Disengagement             938 (044) *      054 (021) *     000 (000)

                                      Educational "Outcomes"

Class participation       964 (045) *      023 (016)       001 (005)
Enjoy subject             908 (043) *      071 (025) *     001 (008)
Ed aspirations            913 (043) *      061 (023) *     006 (011)
Tch-student r'ship        775 (036) *      192 (048) *     005 (017)
Academic resilience       939 (043) *      000 (000)       007 (008)

                         Multilevel Path Model Including Gender
                         and Grade Main and Interaction Effects

                         Grade (G)       Student         Teacher
                                         Gender (S)      (Gender (T)

                         Student Motivation and Engagement
                         Scale Factors

Self-efficacy              057 (042)      -035 (033)      -046 (033)
Valuing of subject        -032 (043)      -008 (033)      -061 (033)
Mastery orientation        097 (041)      -144 (033)      -077 (033)
Planning                  -028 (040)      -047 (033)       033 (033)
Study management          -029 (033)      -119 (033)      -002 (033)
Persistence               -005 (043)      -080 (033)       002 (033)
Anxiety                    133 (032) *    -287 (033) *    -023 (033)
Uncertain control          006 (046)      -062 (033)      -031 (047)
Failure avoidance         -036 (041)      -037 (033)      -050 (041)
Self-handicapping         -103 (054)       014 (033)      -058 (054)
Disengagement              018 (046)      -014 (033)       013 (046)

                                      Educational "Outcomes"

Class participation        031 (039)      -019 (033)      -020 (033)
Enjoy subject              075 (049)      -037 (033)      -022 (033)
Ed aspirations             078 (047)       022 (033)      -046 (033)
Tch-student r'ship         059 (067)      -016 (033)      -067 (033)
Academic resilience       -151 (033) *     178 (032) *    -071 (033)

                         Multilevel Path Model Including
                         Gender and Grade Main and
                         Interaction Effects

                             S x G           S x T

                         Student Motivation and
                         Engagement Scale Factors

Self-efficacy             -040 (033)       057 (033)
Valuing of subject        -032 (033)       062 (043)
Mastery orientation       -031 (033)       022 (033)
Planning                   006 (033)       021 (033)
Study management          -012 (033)      -006 (033)
Persistence               -025 (033)      -006 (033)
Anxiety                   -077 (033)      -027 (032)
Uncertain control         -052 (033)       001 (033)
Failure avoidance         -039 (033)      -017 (033)
Self-handicapping          025 (032)       022 (032)
Disengagement              024 (033)      -016 (046)

                             Educational "Outcomes"

Class participation        041 (033)       050 (033)
Enjoy subject             -005 (033)       041 (033)
Ed aspirations            -001 (033)       037 (033)
Tch-student r'ship         015 (033)       079 (030) *
Academic resilience        038 (032)       029 (032)

                         Multilevel Path Model Including
                         Gender and Grade Main and
                         Interaction Effects

                            T x G         S x T x G

                         Student Motivation and
                         Engagement Scale Factors

Self-efficacy             -068 (042)      -083 (033)
Valuing of subject        -107 (043)      -077 (033)
Mastery orientation       -066 (041)       051 (033)
Planning                  -051 (040)      -007 (033)
Study management          -034 (033)      -034 (033)
Persistence               -076 (045)      -061 (033)
Anxiety                   -004 (033)      -048 (033)
Uncertain control          057 (047)      -060 (033)
Failure avoidance         -024 (041)      -018 (033)
Self-handicapping          078 (054)      -002 (033)
Disengagement              058 (046)       047 (033)

Educational "Outcomes"

Class participation       -034 (040)      -048 (033)
Enjoy subject             -038 (049)      -072 (033)
Ed aspirations            -057 (048)      -057 (033)
Tch-student r'ship         000 (067)      -070 (033)
Academic resilience       -034 (034)       007 (033)

* p < 0.01; Decimals omitted.
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