European Sociological Review Advance Access published June 5, 2009 European Sociological Review VOLUME 00 NUMBER 00 2009 1–17 1 DOI:10.1093/esr/jcp031, available online at www.esr.oxfordjournals.org Curricular Choice: A Test of a Rational Choice Model of Education Limor Gabay-Egozi, Yossi Shavit and Meir Yaish Rational choice theories of education view student’s educational decision as a sequence of binary choices between options that entail long-term utility and options that reduce short-term risk of failure. One of the best articulated models of educational choice asserts that choice between alternative options is affected by students’ utility considerations, their expectations regarding the odds of success or failure in alternative educational options, and their motivation to avoid downward social mobility. We evaluated these propositions using data on students’ curricular choices in Tel Aviv-Jaffa high schools. We found that educational choice was affected by subjective utility and failure expectations, but not by class maintenance motivations. Just as important, and contrary to the model’s main assertion, educational inequality between social strata was not mediated by any of these choice mechanisms. Finally, and importantly, about a fifth of the students in Tel Aviv-Jaffa did not choose between long-term utility and short-term risks, but combined the two. These students, the hedgers, combined the riskier scientific subjects that are expected to yield long-term utility with social sciences and the humanities that reduce the risk of failure in the short term, but are not expected to yield large long-term utilities. The hedgers, moreover, were shown to be disproportionately female and drawn from disadvantaged social strata. These results suggest that educational systems that allow multiple rather than alternative choices may enhance the attainment of working-class youth because they enable them to opt for long term utility while providing a safety-net in the form of additional safer subjects. Introduction In recent years policy makers have advocated choice in education as a means to enhance equality of educational opportunity (Hayman et al., 1997; Plank and Sykes, 2003). But as some argue, choice could be a stratifying rather than an equalizing mechanism in the educational attainment process. For example, Ayalon (2006), who studied students in Israeli high schools differing in the degree of choice available to students, found that gender and socioeconomic differences among them were more pronounced where choice was prevalent. The implications of educational choice for educational stratification therefore merit study. One of the main debates in the literature on educational stratification is encapsulated in the title of Gambetta’s (1987) book: Were They Pushed or Did They Jump? Push factors refer to the various structural and social constraints that determine students’ educational attainment, while pull factors refer to choice. These concepts echo Boudon’s (1974) distinction ß The Author 2009. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected] 2 GABAY-EGOZI, SHAVIT AND YAISH between primary and secondary effects. The former are factors responsible for the association between social origins and children’s scholastic ability and performance; the latter are factors that account for educational choices controlling for class differences in ability. In recent years interest has grown in choice-related explanations of educational stratification (e.g. Boudon, 1974; Gambetta, 1987; Goldthorpe, 1996, 1998; Erikson and Jonsson, 1996; Breen and Goldthorpe, 1997; Morgan, 1998, 2005). Rational-choice theory, for example, assumes that individuals are conscious decision makers whose choices are influenced by a costsbenefit calculus (Hedström and Stern, 2008). The growing interest in choice as an educational stratification mechanism has led scholars to develop theoretical models to explain why children of similar abilities but different class backgrounds are observed to make different educational choices (Goldthorpe, 1996, 1998; Erikson and Jonsson, 1996; Breen and Goldthorpe, 1997; Morgan, 1998, 2005). One of the most influential of these models is Breen and Goldthorpe’s (henceforth BG) model of educational decision making. Although this model was motivated by, and developed to explain persistent inequality in class based educational opportunity (cf. Blossfeld and Shavit, 1993), it is ultimately a model of educational choice (cf. Breen and Yaish, 2006; Stocké, 2007; Van de Werfhorst and Hofstede, 2007), and we approach it as such. Importantly, the BG model is theoretically well developed, and a number of empirical studies have found support for its predictions regarding the statistical association between class and educational attainment patterns (Need and De Jong, 2000; Davies et al., 2002; Breen and Yaish, 2006). Yet, the model’s assumptions have rarely been tested directly (cf. Stocké, 2007; Van de Werfhorst and Hofstede, 2007). Choice and Educational Stratification Most studies on the determinants of inequality of educational opportunity focus on two main sets of variables: familial resources and characteristics of the educational system. Among them are families’ economic resources (Duncan et al., 1998), cultural resources (De Graaf et al., 2000), students’ track placement (Shavit, 1984, 1990) and the curriculum offered in schools (Apple, 1990; Oakes, 1990; Ayalon, 1995, 2002; Burkam et al., 1997). The privileged classes benefit from a variety of material, cultural, and cognitive assets which they mobilize to gain a persistent edge in the competition for desired credentials, and the educational systems are often structured in ways that benefit them further (e.g. Halsey et al., 1980; Gamoran and Mare, 1989). More recently, choice, rather than constraint, has attracted increasing attention as a stratifying mechanism in the educational attainment process. Some scholars have noted that despite the attenuation of structural constraints on processes of educational stratification, inequality between social strata in educational attainment persists. For example, Lucas argued that despite the replacement of overt tracking by apparent choice in course selection in America, de facto tracking persisted, as did class and race-based inequality therein (Lucas, 1999). Scholars interested in pull factors argue that inequality is also due to processes involving choice (e.g. Goldthorpe, 1996; Breen and Goldthorpe, 1997). Several studies have shown that class differentials in educational attainment persist even after controlling for push factors and scholastic performance (cf. Erikson and Jonsson, 1996; Breen and Jonsson, 2000; Need and De Jong, 2000; Davies et al., 2002; Breen and Yaish, 2006). In England and Wales, for example, class differentials in educational choice account for about 25 per cent of inter-class educational inequality (Erikson et al., 2005; Jackson et al., 2007). The publication of BG’s paper (1997) stimulated considerable research on rational choice processes in education. Following Mare (1981), BG view the educational attainment process as a sequence of transition points at which students (and their families) decide whether to drop out or to continue to the next level in any of the available educational options. At each transition point students evaluate each available option in terms of the expected utility to be gained by successfully completing it, and in terms of the risk of failing to do so.1 Utility is defined as the degree to which completion would enhance the student’s future occupational and economic attainment. Risk is defined as the odds of failing to complete the prescribed course of study. Importantly, the model implies that subjective utility and risk are positively correlated. This is because educational trajectories that are associated with high utility expectations are also associated with high failure expectations. Thus, decision makers face an inherent dilemma between maximizing the former and minimizing the latter. The theoretical centerpiece of BG’s model is the so called Relative Risk Aversion mechanism (RRA). Accordingly, there exists a threshold that determines a student’s minimum acceptable level of educational CURRICULAR CHOICE attainment, which will guarantee entry to a class position at least as good as that of their parents. In other words, students set their threshold at a level that will minimize the risk of downward mobility (Breen and Goldthorpe, 1997, pp. 283–285). The model further assumes that students from all social classes are equally motivated to maintain their parental class position. The implications of the RRA mechanism for educational choice, however, differ by class background. For upper class children it implies choosing the risky option because this alone will lead them to the upper class. Conversely, working-class children tend to choose less risky options because they suffice for the attainment of working-class occupations. When individuals reach an educational threshold which they believe will gain them entry into the same social class position as their parents’, the costs of pursuing any further education (in terms of real costs, earnings forgone, and the risk of failure to complete) outweigh the utility of doing so (Breen and Yaish, 2006). Hence, net of scholastic ability, the RRA mechanism raises the class differentials in educational choice, and reproduces inequality of educational attainment between classes. In sum, BG’s model postulates that students’ educational choices are affected by: their beliefs about the relative utility of available alternatives; their beliefs about the relative odds of success or failure in each alternative, and their motivation to avoid downward mobility. Although BG recognize class differences in scholastic ability and economic resources (Breen and Goldthorpe, 1997, p. 283), they further assume that net of ability, classes do not differ in relative risk aversion motivation; future utility attributed to educational options, and success expectations within different educational trajectories. This study tests the motivational mechanisms underlying the BG model in the context of curricular choice of secondary school students in Tel Aviv-Jaffa in Israel. BG’s objective was theoretical and they did not test their propositions empirically. In recent years others have attempted to do so (Need and De Jong, 2000; Davies et al., 2002; Holm and Jaeger, 2005; Breen and Yaish, 2006; Van de Werfhorst and Hofstede, 2007; Stocké, 2007), with mixed results. Most of these studies examine the model’s behavioural predictions rather than its motivational mechanisms directly. For example, Need and De Jong (2000) analysed data on Dutch secondary school students. They evaluated the RRA proposition by testing whether students wish to attain an educational level at least as high as their parents’. They did not explore whether students’ level of educational aspiration was 3 motivated by a fear of class demotion, as assumed by the Breen and Goldthorpe model. Similarly, in their Danish study Davies et al. (2002) noted that if RRA is correct, when students reach their parents’ level of education, they gain no additional utility from any further education. They argue that this means that the impact of parental education should be strongest on students’ transitions up to the educational level attained by their parents themselves, and would decline thereafter. Again, this is an indirect derivative of RRA. Finally, Breen and Yaish (2006) tested behavioural predictions of the BG model in England and Wales but did not measure directly any of the motivational variables suggested by the model. Only two studies tested the actual motivational processes underlying the model. Using survey data taken from secondary school pupils in Amsterdam, Van de Werfhorst and Hofstede (2007) tested whether, and to what extent, family cultural capital and relative risk aversion explained the educational performance and ambitions of secondary school students in Amsterdam. Unlike previous studies, they measured RRA directly by asking students to indicate how closely they agreed with a series of six statements such as ‘I find it important to achieve a better job than my parents’ (p. 399). The reliability of the composite measure was 0.77. They found that the effects of social origin on school performance were largely mediated by cultural capital rather than by RRA, while RRA rather than cultural capital affected educational ambitions. Hence, cultural reproduction theory provides an important explanation for class inequalities in early school performance, whereas ambitions are affected by concerns with mobility, as suggested by Breen and Goldthorpe. By measuring RRA directly, Van de Werfhorst and Hofstede advanced research on rational choice in education substantially, but they did not measure the model’s other motivational components. Specifically they did not measure the subjective utility and the failure expectations that students associate with the alternative options they face. Utilizing data on parents of fourth graders in Rhineland–Palatinate in Germany, Stocké (2007), provided the most comprehensive test to date of the motivational mechanisms proposed by the BG model: subjective costs, success probabilities, and the status maintenance motivation (RRA). He found that net of ability, parents’ subjective beliefs about their childrens’ odds of success, as well as RRA (but see below), strongly affected their educational choices. However, contrary to BG’s expectation, he did not find that these 4 GABAY-EGOZI, SHAVIT AND YAISH mechanisms mediated class inequality in secondary school choice. Stocké measured RRA using two questionnaire items: (i) ‘For many parents, the occupational future of their children is particularly important. Would you please tell me how strongly it would bother you if your child reached a less prestigious occupation than yourself?’ (ii) ‘Please think about what your child will be able to reach in future with different educational degrees. As how likely do you regard it that your child, endowed with the different educational degrees, will be able to reach occupationally at least what you reached?’ (asked for all three degrees) (verbatim, Stocké, 2007, p. 517 notes 4 and 5). In our view, the first question measures RRA and is consistent with the measure employed by Van de Werfhorst and Hofstede (2007). The second question would appear to measure the labor market returns that parents attribute to various educational credentials. In other words, it measures utility expectations rather than RRA. We note in Stocké’s findings that while the measure of subjective utility affected educational choices RRA did not. The aim of our study is to provide a comprehensive and direct test of the motivational mechanisms underlying the BG model. Like Stocké, we simultaneously test whether subjective utility, failure expectations and RRA affect educational choices. However, we employ Van de Werfhorst and Hofstede’s measure of RRA. We test the following hypotheses: Hypothesis I: Students’ educational choices are affected by their subjective utility, namely their beliefs as to the likely returns on the various educational options. Hypothesis II: Students’ educational choices are driven by their beliefs as to their own odds of success or failure in the alternative educational options. Hypothesis III: Educational decisions are motivated by individuals’ apprehension of downward class mobility (i.e. the relative risk aversion). Hypothesis IV: The three motivational mechanisms discussed above mediate socio-economic inequality in educational choices. Hypothesis V: Students of different socio-economic backgrounds (e.g. class) do not differ in any of the following: (i) their relative risk aversion; (ii) their subjective future utility attributed to educational options; and (iii) net of ability, their success expectations in the different educational options. The Setting, Data, and Variables The Setting We tested these hypotheses with data on the choice of major subjects by secondary school students in Tel Aviv-Jaffa in Israel. Our sample was ninth and 10th graders who were about to choose a major for their matriculation examinations. The choice of advanced courses and examinations is an important junction in the socioeconomic life course of young Israelis. At age 12, after a year in pre-school and 6 years in primary school, Israeli children enter middle schools where they spend grades seven, eight and nine. This spell is followed by upper secondary school in grades 10 through 12, where students are prepared for the matriculation examinations leading to the award of the matriculation certificate (bagrut), which is required for higher education.2 The secondary school curriculum is composed of compulsory and elective subjects, such that students can choose from a range of advanced academic courses in different subjects. The various subjects are offered at different levels, ranging from one to five units, and students must pass exams in subjects totaling at least 21 units to earn the matriculation certificate.3 Seven subjects are compulsory (English, Mathematics, Civic Studies, Bible Studies, History, Literature, and Hebrew language—in the Hebrew school sector), and must be taken at either a basic (1–3 units) or an advanced (4 or 5 units) level. Students must also take at least one elective major at an advanced level. Advanced majors are usually chosen during the spring term of tenth grade (although in one of the schools we studied students made the choice as early as ninth grade). The elective majors are not stratified formally, and they should in principle all open meaningful educational opportunities. Nevertheless, informal stratification of these majors does exist, such that students from an advantaged social background tend to specialize in the sciences, while those from a lesser social background tend to specialize in the humanities and the social sciences (Ayalon, 1994, 1995; Ayalon and Yogev, 1997). Admission into higher education predicates a matriculation certificate, and the more prestigious departments and institutions of higher education set several additional requirements: (i) advanced English (at least 4 units); (ii) a high matriculation grade point average; (iii) some technical and prestigious CURRICULAR CHOICE departments (e.g. engineering and the sciences) and institutions (e.g. the Technion) specifically require higher matriculation grades in advanced math and sciences. The elaborate formula employed by universities also tends to favour applicants who have passed more than one advanced level examination. In recent cohorts, 54 per cent of students obtained the matriculation diploma (Ministry of Education, 2007). Of those who sat for matriculation examinations, about 65 per cent passed all the examinations necessary for the diploma. Mathematics and English are generally regarded difficult examinations, and unlike other difficult subjects (e.g. Physics, Chemistry, and Computer Science) they are compulsory. In an effort to raise students’ success rates in Mathematics schools evaluate their performance early on and assign them to unit levels as early as ninth grade. Once a student has been placed on a level he or she has little further choice in the matter except to opt for a lower level. Data In the spring term of 2006 we collected data in four public secondary schools in Tel Aviv-Jaffa. With a population of nearly 400,000, Tel Aviv-Jaffa is Israel’s largest city and is the core of the Tel Aviv Metropolitan area with its population of about three million (Tel Aviv-Jaffa, 2007). Tel Aviv-Jaffa has nine administrative districts, which are fairly homogeneous socio-economically (Tel Aviv-Jaffa, 2006). Southern districts are typically working class while northern ones are middle class. We restricted our sample to Hebrew academic secular high schools in Tel Aviv-Jaffa. We excluded vocational, religious, Arab and two magnet schools because they differ in their curricular menu and emphasis. Vocational schools offer a limited menu of academic subjects with an abundance of technical ones, Jewish religious schools emphasize religious studies and encourage their stronger students to take these rather than the sciences, and Arab schools offer a somewhat different curriculum than Hebrew schools. Specifically, they teach different languages (Hebrew and English as foreign languages rather than English, Arabic and French), put less emphasis on Bible studies, and teach some Koran instead. One of the two magnet schools specializes in the arts and the other caters primarily to Russian immigrant children and offers a mix of Russian and Hebrew curricula. In the interest of simplification, we chose to restrict the sample to schools which share a common curriculum. 5 Of the remaining seven schools in the city we sampled two in working-class districts and two in middle-class districts. Fortunately, all four school principals cooperated with the study and allowed us access to their schools. The four schools offer students similar core curricula, as well as the option to choose among the following advanced subjects: Physics, Chemistry, Computer Science, Biology, Economics, Social Sciences, History, Literature, and Communication. We distributed self-administered questionnaires among 10th graders attending three of the schools and among both tenth and ninth graders in the fourth (because students at that school where encouraged to choose an advanced major as of ninth grade). In total, we collected data in 28 classes and obtained 683 completed student questionnaires. Of these, 18 per cent were incomplete and were excluded from the analysis, which accordingly covered 563 cases.4 Like Stocké’s (2007) and Van de Werfhorst and Hofstede’s (2007) studies before us, our sample too is local rather than nationally representative. However, our data include good measurements of the central theoretical concepts under investigation, including relative risk aversion, utility and failure expectations, as well as social origins and other control variables (see below). While acknowledging the limited generalizability of our findings beyond Tel Aviv-Jaffa, we believe that our data are suitable to the task at hand. If the BG model holds as a general theory, it should help explain socio-economic differences in educational attainment in Tel Aviv and in other stratified communities. To anticipate, the results of our study together with those of Stocké (2007) and Van de Werfhorst and Hofstede (2007), add up to a rather consistent message with respect to the BG model. The Dependent Variables We study the determinants of two types of curricular choices that students make in anticipation of their matriculation examinations. Respondents were presented with a list of electives that were available in their school, and were asked to indicate whether or not they intend to take each of them at an advanced level. The distribution of choices shown in Table 1 indicates that boys tended to choose Physics, Computers, Economics and other Social Sciences, while girls are more inclined to take the Social Sciences, Communications, Economics, and Biology. Our first dependent variable distinguishes between those who chose to take English at an advanced (4 or 5 units), rather than at a basic level (3 units). 6 GABAY-EGOZI, SHAVIT AND YAISH Table 1 Per cent distributions of subject choice by gender Advanced subjects English Physics Chemistry Computers Biology Economics Social Science History Literature Communications Boys Girls Total 93 33 22 28 19 30 30 16 12 14 92 12 17 13 20 25 52 15 14 24 93 23 19 20 20 27 41 16 13 19 Recall that admission into higher education predicates a matriculation certificate with advanced English. Thus, the choice of advanced English has very clear stratifying consequences. Given the importance of advanced English for university enrolment, it is not surprising to see in Table 1 that 93 per cent of our respondents intended to take English at that level.5 Our second dependent variable concerns the choices that students make among the elective subjects. Following common practice in the literature on school curriculum (Apple, 1990; Kliebard, 1992; Kamens and Benavot, 1992) we form the nine elective subjects into two groups: the sciences (Physics, Chemistry, Computers, and Biology) and the humanities and social sciences (Economics, Social Sciences, History, Literature, and Communications). The sciences (hereafter hard subjects) are generally regarded as more prestigious than the humanities and social sciences (hereafter soft subjects) and are considered more demanding (Ayalon and Yogev, 1997). In Table 2 we compare the three curricular choices in terms of perceived utility and risk of failure. We measured perceived utility by asking respondents the following question: ‘For each subject listed below, in your opinion, if a student succeeds in this subject at the five-unit level, what are his or her chances of admission to a university?’ [scale: 1 (‘not high at all’) to 5 (‘very good’)]. Perception of risk is defined as students’ subjective belief that they would gain a low grade (64 or less on a 100-point scale) in a subject were they to take it at an advanced level. Students’ perception of risk in the hard or the soft subjects is then refers to the proportion of those who thought that their grade, in each subject within the hard and the soft subjects, would be low. As seen in Table 2, on average, (across subjects) students perceived the hard electives as associated with both higher utility and Table 2 Means (and standard deviations) of perceived utility and perceived risk in advanced English, and in hard and soft advanced Electives Advanced Hard Soft English subjects subjects Perceived utility in university admission Perceived risk of failure 4.44 (0.79) 0.03 (0.16) 4.09 (0.78) 0.15 (0.26) 3.50 (0.80) 0.06 (0.15) Note: Asterisks indicate significant (P50.05) differences between the means of the hard and the soft clusters. a higher risk of failure than the soft electives.6 The utility that students associate with advanced English is higher than the mean utility associated with either the hard or the soft electives. In addition, the risk of failure they associate with advanced English is comparable to that associated with the soft subjects which are perceived as relatively safe. As indicated earlier, although students are only required to take one advanced subject to be eligible for a matriculation certificate, there are strong incentives for taking more because students can then discount the advanced subject in which they scored lowest. The great majority (96 per cent) of students in our sample did indicate that they intended to take two or more advanced electives. Although most students tended to pick subjects within the two clusters of electives, some intended to take a mix of both hard and soft subjects. Thus, our second dependent variable consists of a three-category classification representing choice of advanced subjects: (i) hard subjects (Physics, Chemistry, Computer Science, and Biology); (ii) soft subjects (Economics, Social Sciences, History, Literature and Communication); and, (iii) a mixture of both. As seen in Table 3, 36 per cent of the students in our sample intended to take advanced subjects in the sciences alone, 42 per cent intended to take only soft subjects, and 22 per cent intended to take a mix of the two. Thus, about a third of students who intended to take a hard elective seemed to hedge their risk of failure by taking a soft elective too. This strategy seems quite reasonable given that students are only required to complete a single advanced elective course and can discount an extra course in which they might do poorly. Independent Variables As noted, the rational choice model of education refers to three motivational variables (i.e. secondary factors) CURRICULAR CHOICE Table 3 Per cent distribution of elective choice clusters Choice categories Hard subjects only Physics, chemistry, computers and biology Soft subjects only Social science, economics, history, literature and communications Mix of hard and soft subjects Total % (N) Percentage 36 42 22 100 (563) affecting educational choice: relative risk aversion, and, for each educational option, beliefs about future utilities and beliefs about failure expectation. We measured Relative Risk Aversion with the following questions: ‘to what extent do you agree with each of the following statements? [scale: 1 (‘strongly disagree’) to 5 (‘strongly agree’)]: (a) It is important for me to work in an occupation that is better than the occupations of my parents. (b) It is important for me that my salary be at least equal to the level of my parents’ salary. (c) My parents would not be satisfied if I were to work at a lower occupation than theirs. (d) I would like to attain a social class on a level at least equal to my parents’. (e) I am concerned that I might reach a social class that is lower than the social class of my parents. (f) It is important for me to attain a higher level of education than the level of education of my parents’. This measure is based on Van de Werfhorst and Hofstede’s six-scale items measurement of Relative Risk Aversion (2007). Items (ii) to (v) represent students’ concern with downward mobility whereas items (i) and (vi) represent their attitude to upward mobility. Consistent with Van de Werfhorst and Hofstede’s measurement, factor analysis of these six items found them to load on a single factor, which we interpret to represent the class maintenance motivation (i.e. relative risk aversion). This factor accounted for 63 per cent of the total variance in the test items, and the factor loadings of five out of the 7 six items were above 0.66 (item e ¼ 0.47). The relatively low loading of item e is probably related to the translation of the original statement, and was therefore removed from the analysis due to translation issue.7 The five-item factor accounted for 72 per cent of the total variance, and its reliability was identical to that obtained by Werfhorst and Hofstede (0.78). Beliefs about future utilities were measured by the question cited earlier concerning the subjective odds that a student (i.e. any student) who succeeds in each subject will enter university. For each student we computed the mean perception of success associated with the hard subjects and the soft subjects. The ratio of the former to the latter was then our measure of the relative utility that students attribute to the hard subjects as against the soft subjects. Relative Failure Expectation was measured as the difference between the proportion of hard and soft subjects respectively, in which the student expected to obtain a low grade (64 or less). High values represent apprehension of the hard subjects. Control Variables Following well documented gender differences in curricular choices (e.g. Ayalon, 1995; Bradley, 2000), we include a dummy variable for gender. Against the relatively constancy of class differentials in educational attainment, in nearly all advanced societies gender differentials in levels of educational attainment (favouring males over females) have declined sharply and even reversed since the 1970s. BG attribute the decline to perceptions of rising occupational and economic returns to women’s education (Breen and Goldthorpe, 1997, pp. 296–297). In a footnote, they also refer to gender differences in subject choice (Breen and Goldthorpe, 1997, p. 303, note 10) and suggest that since women expect their careers to be interrupted by family obligations, they are prefer subjects which lead to occupations that afford flexible working arrangements. To anticipate, and consistent with other studies on gender differences in curricular choices (e.g. Ayalon, 1995; Bradley, 2000), we find boys were more likely than girls to take hard rather than soft electives. We indicate social origin by two variables: parental education and family economic resources. We began our analysis with class as an indicator of social origin but soon realized that student reports of father’s occupation and of his employment status (which are the building blocks of the class schema) are highly unreliable, therefore, we prefer to represent social origins with parental education and their economic 8 GABAY-EGOZI, SHAVIT AND YAISH resources. Parental education was measured as the highest qualification obtained by either father or mother. It was measured by a six-category classification which maintains a clear hierarchical order. In addition, students were also asked to provide information on the availability of a variety of durable goods in the home (such as air-conditioning, computer, dishwasher, car, etc.). Economic resources were measured as the sum of available items in the parental household.8 Students’ scholastic performance was indicated by their grades, measured as the mean of self-reported grades in Hebrew, English, and Mathematics on the most recent report card. Grouping was the level at which a student considered himself or herself in 10-grade Mathematics. It was coded as a dummy variable indicating advanced placement. As noted earlier, group placement is largely determined by students’ prior performance in Mathematics and once placement has been made it is an evident push factor which affects subsequent curricular choice. Students placed in low level Mathematics are unlikely to choose advanced hard subjects. Finally, we controlled for the number of subjects the student intended to take at an advanced level, because the odds of taking a mixture of both hard and soft subject should increase, the more subjects’ students take. The inclusion of this variable in our models did not substantially alter the effects of any of the other variables. Empirical Findings Descriptive Analysis Table 4 presents descriptive statistics of the independent variables by curricular choices: the choice of advanced and basic English, and the choice among the three categories of advanced matriculation electives. Consistent with previous studies in Israel (Ayalon and Yogev, 1997; Ayalon, 2003; Katz-Gerro and Yaish, 2003) and elsewhere (Ma and Willms, 1999; Bradley, 2000), we found that boys were more likely than girls to take hard rather than soft subjects. As expected, we also see that students who chose advanced English and the more demanding and rewarding sciences were disproportionately drawn from a more advantaged social background than those who chose the less demanding subjects (cf. Oakes et al., 1992; for Israel see Ayalon, 1994, 1995; Ayalon and Yogev, 1997). More importantly, on average, students who chose a mix of hard and soft subjects (the hedgers) came from lower strata than those who selected either pure category of subjects (hard or soft ones). This is an interesting result that we shall return to later. Regarding scholastic performance and grouping, the entries in Table 4 reveal that students who chose hard subjects won higher grades than those who selected the mixed or the soft subjects. Similarly, those who chose hard subjects were more likely to have been placed in an advanced group in math. The same apply for the differences between those who choose advanced English compared with their counterparts who intended to take the subject at a basic level. Turning to the motivational factors, we see that those who selected advanced English evinced more confidence in their ability to succeed in the subject than those who chose it at a basic level. There are no significant differences in Relative Risk Aversion and in utility expectations between those who chose advanced and basic English. As for the three clusters of electives, we see that students who chose mixed subjects exhibited the highest degree of relative risk aversion, suggesting that those who are concerned with class maintenance hedge their risk by adopting a mixed strategy. The hard (and risky) subjects increase the expected long-term utility of the mix and if one does poorly in these, success in the soft subjects averts short-term failure. Thus, choosing a mix of electives could minimize exposure to unwanted short-term risks, while allowing the possibility of long-term success in higher education and in the labour market. Expectedly, those who selected hard subjects hold stronger beliefs about their positive utility (i.e. admission to university) than those who chose the other combinations, and those who selected soft subjects showed the lowest confidence in their ability to gain academic success in the hard subjects. Also expectedly, the more advanced subjects a student chose, the more likely he or she was to choose a combination of mixed subjects. The Effects of Social Background on Performance and the Motivational Factors Before testing whether the three motivational variables explain educational choices, we estimated, as shown in Table 5, the effect of social background on performance, and that of social background and performance on status maintenance motivation, utility considerations, and failure expectations. Consistent with previous research, social background exerted positive effects on scholastic performance. Furthermore, boys and girls did not differ in their performance but they did differ significantly in the motivational factors.9 CURRICULAR CHOICE 9 Table 4 Means (and standard errors) of key variables by choice categories Variables Social background Sex (boys) Parental education Economic resources Scholastic performance & grouping Scholastic performance Grouping in Math (advanced level) Motivational factors Relative risk aversion English utility Relative utility (hard versus soft subjects) English failure expectation Relative failure expectation (hard versus soft subjects) All English basic (3) Hard subjects (4) Mixed (1) English advanced (2) (5) Soft subjects (6) 0.51 (0.50) 4.67 (1.56) 6.17 (2.21) 0.51 (0.50) 4.73 (1.53) 6.24 (2.18) 0.48 (0.51) 3.86 (1.65) 5.39 (2.23) 0.63 (0.49) 5.10 (1.31) 6.59 (1.86) 0.55 (0.50) 4.17 (1.67) 5.39 (2.23) 0.39 (0.49) 4.57 (1.60) 6.23 (2.36) 82.81 (11.12) 0.78 (0.41) 83.44 (10.95) 0.80 (0.40) 74.75 (10.10) 0.58 (0.50) 87.40 (9.35) 0.94 (0.24) 78.91 (11.82) 0.74 (0.44) 80.90 (10.82) 0.68 (0.47) 0.10 (1.00) 4.43 (0.79) 1.20 (0.28) 0.05 (0.22) 0.09 (0.23) 0.10 (1.00) 4.44 (0.79) – 0.11 (1.03) 4.28 (0.79) – 0.19 (1.05) – 0.18 (0.95) – 0.18 (0.96) – 0.03 (0.16) — 0.34 (0.48) — 1.35 (0.31) — 1.14 (0.23) — 1.11 (0.22) — 0.01 (0.14) 0.07 (0.21) 0.17 (0.27) — — 1.37 (0.62) 2.95 (1.09) 1.88 (0.74) 189 144 230 Number of chosen subjects 1.94 (0.99) Number of cases 563 517 46 Note: Asterisks in Column 2 indicate statistically significant (P50.05) differences between the means shown in Columns 2 and 3. Asterisks in Column 4 indicate statistically significant (P50.05) differences between the means shown in Columns 4 and 5. Asterisks in Column 5 indicate statistically significant (P50.05) differences between the means shown in Columns 5 and 6. Asterisks in Column 6 indicate statistically significant (P50.05) differences between the means shown in Columns 4 and 6. The last three columns of Table 5 test Hypothesis IV, which postulated that when scholastic performance is controlled, no socioeconomic differences should appear in any of the three motivational factors. The results indicate that students from advantaged social background are less concerned with maintaining their parental socioeconomic positions. Thus, with regard to the Relative Risk Aversion mechanism, our finding, consistent with that of Stocké (2007), refutes one of the core assumptions of the BG model, namely that all social strata are equally concerned about status maintenance. A plausible explanation for the negative association between relative risk aversion and social background might be related to the degree of confidence that people of different social backgrounds have in their social position. Students from advantaged social strata may rely on their family to supply, if necessary, the buffers against downward mobility, or many of them may even take their position as given and are therefore less concerned with status maintenance. By contrast, students from less privileged families may suffer from status anxiety and fear of status loss. Thus, to the extent that RRA has a positive effect on the choice of high utility subjects, it may actually attenuate, rather than reproduce inequality between generations. To anticipate, we shall soon show that RRA did not affect educational choice and does not mediate the effects of origins on educational choice. Contrary to BG’s assumption, but consistent with Stocké’s (2007) results, we found significant socio-economic differences in beliefs about relative utility. No such differences appeared in failure 10 GABAY-EGOZI, SHAVIT AND YAISH Table 5 OLS regression coefficients (and standard errors) on performance and motivational factors Independent variables Sex (boys) Social background Parental education Economic resources Scholastic performance Relative risk aversion Relative utility of sciences Relative failure expectations in sciences 0.77 (0.83) 0.29 (0.08) 0.07 (0.02) 0.07 (0.02) 1.68 (0.30) 1.05 (0.21) 0.16 (0.03) 0.08 (0.02) 0.02 (0.01) 0.01 (0.01) 0.01 (0.01) 0.01 (0.01) 68.89 (1.54) 0.14 0.00 (0.00) 0.97 (0.29) 0.14 0.004 (0.00) 0.66 (0.08) 0.09 0.003 (0.00) 0.38 (0.07) 0.05 Scholastic performance Scholastic performance Constant Adjusted R2 Significance level: P50.05. expectations, which is consist with the BG model and Hypothesis IV. Primary and Secondary Effects on Choice of Advanced Subjects Reverting to the first three hypotheses outlined at the outset, we asked: are students’ educational choices affected by their apprehension of downward class mobility (i.e. relative risk aversion), by their beliefs about the likely future returns on the various choices, and by their beliefs about their own odds of academic success or failure in the alternative trajectories? We also asked whether these secondary factors mediated the effects of social origins in educational choice, that is: is choice a stratifying mechanism? To answer these questions we first estimated a binary logit model on the choice between advanced and basic levels in English. We then examined, by applying a multinomial logit model, the determinants of choice between the three curricular clusters identified earlier (i.e. hard, soft, and mixed subjects). These models included the following independent variables: parental education, family’s economic resources, scholastic performance, grouping in math, relative risk aversion, subjective utility (of advanced English or of the hard as against the soft advanced subjects), and failure expectation (in English or in the hard as against the soft subjects). We also controlled for sex in our models and in the multinomial model also for the number of chosen subjects. Table 6 presets the parameter estimates of the odds of choosing advanced English. Tables 7 and 8 present the parameter estimates of the contrasts between hard versus soft subjects (Table 7) and between hard subjects and a mix of hard and soft subjects (Table 8).10 To facilitate comparison of the effects of the continuous independent variables we standardized them to a mean of zero and a unit standard deviation. Dummy variables retained their original metric. In Model I in these tables, we regressed educational choice on social background alone. In Models II and III we added performance and grouping to each model respectively. These two models were meant to assess the extent to which performance and grouping mediate the effects of social background. In Model IV we regressed educational choice on the three motivational factors alone, and Model V included all variables simultaneously.11 Advanced versus basic English Model I in Table 6 indicates that students with educated parents were more likely to opt for advanced English. When we added performance to this model (Model II) the effect of parental education was reduced, and adding grouping in Math (Model III) rendered the effect of parental education even weaker and statistically insignificant. High achieving students and those who had been assigned to an advanced grouping in math were more likely to choose English at advanced level. Importantly, the choice between advanced or basic level English was largely determined by performance and grouping, and no effects of social background remained to be explained by secondary factors. CURRICULAR CHOICE 11 Table 6 The effects (and standard errors) of primary and motivational factors on the odds of choosing English at an advanced rather than basic level Independent variables Sex (boys) Social background Parental education Economic resources I II III IV V 0.14 (0.32) 0.23 (0.32) 0.17 (0.33) 0.18 (0.34) 0.15 (0.35) 0.38 (0.16) 0.25 (0.18) 0.28 (0.17) 0.10 (0.19) 0.22 (0.17) 0.07 (0.19) 0.12 (0.20) 0.08 (0.20) 0.54 (0.16) 0.51 (0.16) 0.62 (0.35) 0.32 (0.17) 0.58 (0.38) Scholastic performance & grouping Scholastic performance Grouping in Math (advanced level) Motivational factors Relative risk aversion Utility in English Failure expectation in English Constant Cox and Snell R2 2.61 (0.23) 0.022 2.58 (0.23) 0.041 2.16 (0.32) 0.045 0.09 (0.17) 0.04 (0.16) 2.90 (0.42) 2.87 (0.25) 0.069 0.23 (0.19) 0.07 (0.16) 2.22 (0.48) 2.47 (0.36) 0.083 Significance levels: P50.05; 0.055P50.09. Table 7 The effects (and standard errors) of primary and motivational factors on the odds of choosing hard rather than soft clusters of electives Independent variables Sex (boys) Social background Parental education Economic resources I II III IV V 1.23 (0.21) 1.34 (0.22) 1.31 (0.23) 1.02 (0.24) 1.14 (0.26) 0.39 (0.12) 0.07 (0.12) 0.24 (0.13) 0.20 (0.13) 0.09 (0.13) 0.19 (0.13) 0.12 (0.15) 0.22 (0.15) 0.82 (0.14) 0.76 (0.15) 1.91 (0.34) 0.55 (0.16) 1.55 (0.40) Scholastic performance & grouping Scholastic performance Grouping in Math (advanced level) Motivational factors Relative risk aversion Relative utility (hard versus soft subjects) Relative failure Expectation (hard versus soft subjects) Number of subjects chosen Constant Cox and Snell R2 Significance level: P50.05. 1.41 (0.19) 1.39 (0.18) 0.386 1.41 (0.19) 1.55 (0.19) 0.425 1.55 (0.21) 3.15 (0.37) 0.460 0.02 (0.12) 1.19 (0.16) 1.23 (0.18) 1.70 (0.22) 1.59 (0.22) 0.507 0.14 (0.13) 1.05 (0.16) 1.06 (0.19) 1.84 (0.24) 3.07 (0.43) 0.540 12 GABAY-EGOZI, SHAVIT AND YAISH Table 8 The effects (and standard errors) of primary and motivational factors on the odds of choosing hard rather than mixed clusters of electives Independent variables Sex (boys) Social background Parental education Economic resources I II III IV V 0.81 (0.28) 0.92 (0.29) 0.92 (0.30) 0.74 (0.30) 0.87 (0.31) 0.35 (0.16) 0.10 (0.16) 0.21 (0.16) 0.03 (0.16) 0.13 (0.16) 0.01 (0.17) 0.17 (0.18) 0.05 (0.18) 0.81 (0.17) 0.77 (0.17) 1.31 (0.43) 0.60 (0.19) 1.11 (0.47) Scholastic performance & grouping Scholastic Performance Grouping in Math (advanced level) Motivational factors Relative risk aversion Relative utility (hard versus soft subjects) Relative failure Expectation (hard versus soft subjects) Number of subjects chosen Constant 2.63 (0.23) 0.18 (0.23) 2.62 (0.23) 0.35 (0.24) 2.76 (0.24) 1.51 (0.45) 0.14 (0.15) 0.92 (0.18) 0.84 (0.20) 2.93 (0.25) 0.55 (0.26) 0.03 (0.17) 0.77 (0.18) 0.73 (0.22) 3.03 (0.27) 1.68 (0.50) Significance level: P50.05. In Model IV the analysis focused on the gross effects of the three secondary factors. The effects of relative risk aversion and utility consideration were very small and statistically insignificant. By contrast, students who hold low failure expectations in advanced English were more likely to select advanced English. When, in Model V, we also controlled for social background, performance and grouping in Math, the net effects of failure expectation was slightly reduced but maintained its statistical power (compared with Model IV). In sum, the main determinants of choice between advanced and basic English were scholastic performance, grouping in math, and failure expectations in English, but not relative risk aversion or utility perceptions. Moreover, although the odds of choosing advanced English are affected by students’ subjective failure expectations, they are largely determined by previous performance and no effects of social background remained to be explained by secondary factors. Hard versus soft subjects The analysis of choice between hard and soft electives yields similar results to those obtained above. Model I in Table 7 indicates that males, and students with educated parents, were more likely to opt for hard than for soft subjects. When we added performance to this model (Model II) the effect of parental education was reduced, and adding grouping (Model III) rendered the effect of parental education even weaker and statistically insignificant. Strong students and those who had been assigned to an advanced grouping in math were more likely to choose hard rather than soft subjects. Importantly, the choice between the hard and soft clusters of subjects was largely determined by performance and grouping, and no effects of social background remained to be explained by secondary factors. In Model IV the analysis focused on the gross effects of the three secondary factors. The relative risk aversion mechanism was very small and statistically insignificant. By contrast, the effects of both relative utility and relative failure expectation were significant, and in the expected directions: students who expected relatively higher utility from the hard subjects and hold low failure expectations in them were more likely to select hard than soft subjects. When, in Model V, we also controlled for social background, performance and grouping the net effects of relative utility and CURRICULAR CHOICE relative failure expectation were slightly reduced but maintained their statistical power (compared with Model IV). Again, the coefficient for relative risk aversion in Model V was not significant statistically. Finally, we found that the odds of choosing hard rather than soft subjects declined as the number of subject selections increased. Evidently, students who choose the hard sciences are more likely than those who choose soft subjects to concentrate on the relatively difficult task at hand and avoid spreading their attention over several subjects. Hard versus a mix of subjects In Table 8 we present the effects of the independent variables on the log odds of choosing hard rather than mixed subjects. These results, too, are quite similar to those reported in Tables 6 and 7. Boys were more likely to choose hard subject than a mix of hard and soft ones; the socioeconomic differences in these odds were fully accounted for by performance and grouping; the effects of RRA were statistically insignificant; those of perceived relative utility and relative risk of failure were statistically significant and in the expected directions, and the secondary factors did not mediate socio-economic differences in choice. Finally, the odds of taking a mix of subjects increased substantially as the number of selections increased. In sum, the main determinants of choice among hard subjects, soft subjects and a mix of the two were scholastic performance, grouping in math, relative failure expectations, and subjective utility, but not relative risk aversion. Just as important, the three motivational factors posited by BG’s Rational Action Theory did not seem to mediate the effects of social background. Thus far, then, our results lead to the same conclusion; secondary effects are absent with respect to educational inequality between social strata in curricula choices within the Israeli secondary system. Summary and Discussion It is generally recognized that students from privileged social backgrounds progress farther in the educational system than those from less advantageous origins. Rational choice models of education, in particular the BG model, attribute these inequalities, in part, to differences in educational choice made by individuals from different social strata. According to the model, the educational process consists of a sequence of branching points at which students are faced with binary choices. On the one hand, the high road is 13 demanding and risky in the short term, but can lead to rewarding life-course outcomes in the long term. On the other hand, the low road is less demanding and safer in the short term, but can offer only limited long-term rewards. That is, long-term utility and short-term risks are positively associated. It is further assumed that on reaching educational decision points students consider their success probability in each alternative, its utility, defined as the probability that it will lead to desirable occupational outcomes, and the extent to which it will protect them from downward social mobility. The desire to avoid downward mobility gives rise to class differentials in educational choice. Students from the upper strata are impelled to choose the high road, which is necessary if they are to maintain their social position, while those of lower strata choose the low road, which is sufficient to maintain their social position. Finally, the BG model postulates that social reproduction is mediated, in part, by differential educational choice. In this paper we put these propositions to an empirical test. Specifically, we examined the role of utility considerations, of failure expectations in education, and of the class maintenance motivation in shaping educational choice. We examined the validity of these assumptions by analysing recently collected data from a purpose-designed survey of Tel Aviv-Jaffa high school students who in 2006 were about to select school subjects at an advanced level for their matriculation examinations. In the main, our results cast doubt on some of the main assumptions of the BG model. Summarizing our results concerning each assumption in turn, first we found that educational choice was affected by the relative utility that students attribute to the alternative choice options. It was also affected by students’ subjective failure expectations on the alternative educational routes. However, it was not affected by the so-called Relative Risk Aversion motivation (i.e. the class maintenance motivation). These results are consistent with those reported by Stocké (2007) for German parents choosing secondary educational tracks for their children. Hence, the role of mobility concerns at this stage of the educational career is questionable. Furthermore, although affected by social origin (and two of the three also hold effect on educational choice), secondary factors did not mediate class inequalities in educational choice, which were largely mediated by performance and prior grouping in Math. In addition, relative risk aversion was negatively related to social origins: students from the lower strata seemed more concerned about downward social mobility that 14 GABAY-EGOZI, SHAVIT AND YAISH those from the more privileged strata. Although BG’s predictions about the determinants of educational choices were validated in part, we agree with Stocké (2007) and with Nash (2003, 2006) that rational choice theory in education focuses too heavily on secondary effects. Our findings indicate that secondary effects on educational attainment are weaker compared with primary effects. Research on the relative importance of secondary effects on educational attainment indicates that the relative importance of secondary effects depend, in part, on the specific educational transition in question and on the societal context in question.12 Moreover, and importantly, a large proportion of our respondents took neither the high road nor the low road, preferring a mixture of the two. We suggest that students who choose both high-utility and lowrisk options hedge short-term risks with long-term utility. We find that hedgers came disproportionately from less affluent and less educated families, had lower scholastic achievements, and were more concerned with class maintenance, than those who chose either pure hard subjects or pure soft subjects. The possibility to choose a mix of subjects is not anticipated by rational choice models of education. This is an important finding, indicating that the model ignores systemic differences in the structure of available choices. The availability of multiple rather than binary options can affect educational choice and class-based educational inequality by allowing students to hedge long-term utility with short-term risk. Comparative research across educational systems that offer students a variety of alternatives to choose from is in order. Our finding that the less privileged in society adopted a hedging strategy also calls into question the argument that curricular choice masks transparent tracks visible only to the more affluent parents (Lucas, 1999). We find that students from less affluent and less educated families seemed to be aware of the risks and utilities associated with the different subjects available to them, and they mixed them to their apparent advantage. The availability of options need not work to the detriment of greater equality of educational opportunity, as suggested by Lucas (also by Ayalon, 2006). Research is also called for on the relationship between students’ stated intentions and the courses they actually take. While actual course taking is affected by students’ preferences, it is also affected by the availability of courses at schools, by teachers’ recommendations, by schools’ policies of student selection, and by a host of other institutional constraints. In a future study we hope to evaluate the role of subjective choices and of hedging, as well as of push factors, on the actual courses students take. Notes 1. 2. 3. 4. 5. When evaluating their available educational option, students (and their parents) are also assumed to take into account the direct and indirect costs of education. Although perceived cost is an important variable in rational-choice theory it is not discussed or measured in this study because high-school alternatives (i.e. choice of major) in Israel do not differ in their expected costs. Upper secondary education consists of two main tracks: academic and vocational. Until recently the vocational track trained most students for a trade and prepared them for the world of work rather than for further study. In recent years, however, most vocational-track students have been able to sit for matriculation examinations, although their success rates are lower than those of their academic counterparts (e.g. Ayalon and Shavit, 2004). The number of units refers to the time devoted to the subject. A unit equals 1 h a week for three years, or 3 h a week for 1 year. The number of units at which a subject is taken corresponds to its level and degree of difficulty (Ayalon, 1994). Students’ sampling probabilities were computed as the product of the school’s sampling probability (0.29 and 0.66 in the middle class and working class neighborhoods, respectively) and the students’ sampling probability within the school, which was computed as the ratio of the number of respondents and the number of tenth graders (ninth and 10th graders in one of the schools). In the analysis, the cases were weighted inversely to their sampling probabilities. In unreported analyses we also controlled for sampling districts (north, south) and obtained substantively identical results. Some schools track students in math early-on in secondary school and leave them little choice in the matter. In unreported analysis we found that when compared to known distributions of students by level of study in math, their stated CURRICULAR CHOICE 6. 7. 8. 9. 10. 11. 12. choices are highly unrealistic. Therefore, we do not analyse the choice of advanced mathematics. The results presented in Table 2 for the hard and soft clusters are similar to those obtained by inspecting the utility and failure expectation for each of their composite subject separately, with one exception: both the perceived utility and failure expectations for Economics are similar to those for Biology. However, since the great majority (96%) of students who intended to take economics also chose other social science subjects its allocation to the social science category seems justified. Specifically, the wording in Van de Werfhorst and Hofstede’s item e was: ‘I am concerned that I might reach a social class that is lower than the social class of my parents’, whereas in our Hebrew version concerned was worded as afraid. In unreported analyses we also controlled for number of siblings, and students’ reading habits, but, net of parental education and economic resources, most of their effects did not reach statistical significance. Dropping them from the analysis did not alter the substance of our results in any way. In a separate study that is currently in progress, we attempt to account for gender differences in the motivational factors. The effects on a third possible contrast (soft versus mix) are not reported and can be computed as the differences between the respective effects in Tables 7 and 8. Of all effects on the third contrast, only that of relative failure expectation is significant and in the expected direction. It does not mediate the effects of social origins. When Models IV and V were fitted with each of the choice mechanisms (RRA, RU and RFE) only, each effect was similar to the effect reported here. See, for example, the sharp difference in the estimated relative importance of secondary effects in England and Wales (Jackson et al., 2007) compared with Germany (Reimer and Schindler, 2007). 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Tel Aviv-Jaffa: Tel Aviv-Yafo Municipality. Authors’ Addresses Limor Gabay-Egozi (to whom correspondence should be addressed), Department of Sociology and Anthropology, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel. Email: gabaylim@post. tau.ac.il. Yossi Shavit, Department of Sociology and Anthropology, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel. Email: [email protected]. Meir Yaish, Department of Sociology and Anthropology, Haifa University, Haifa 31905, Israel. Email: [email protected]. Manuscript received: April 2009
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