Linking university mathematics classroom environments to student achievement: The mediation of mathematics beliefs

This study examined the relationships between university mathematics classroom environments, mathematics beliefs, and achievement in the context of mainland China. As a type of affect in mathematics learning, mathematics beliefs including mathematics conceptions and efficacy were examined as mediators. Based on analysis of a sample of 1443 undergraduate students from a university in northern China, the study not only found that the mathematics classroom environment was associated with both affective and cognitive mathematics outcomes, but also confirmed the mediating role of mathematics beliefs. Specifically, a desirable classroom environment was related to students’ cohesive conceptions, enhanced self-efficacy, and higher mathematics achievement. In contrast, students’ perceived difficulty of learning mathematics was connected to their fragmented conceptions, reduced self-efficacy and lower mathematics achievement. Implications of the study are discussed.     

Patterns of student employment in Russia†

This paper analyses the factors of combining study and work and the factors explaining intensity of work during study in Russia, based on cross-sectional survey data. The issue of how Russian students combine work and study is analysed through the set of financial, academic, social and demographic predictors, quality of university and quality of students. These factors may have an effect on student employment and student labour supply, and help shed light on what motivates students to enter the labour market. We discovered that 64.7% of Russian students combined study and work and most of them begin working during their third year of study. Our results indicate that factors associated with the quality of students, such as studying in a top university and participating in research activities, positively affect the probability of student employment, but negatively affect the intensity of employment. Financial motivations for student employment are also significant. We found that students receiving financial support from their families are less likely to be employed during their study and work less hours. However, we found no evidence that combining study and work affects students’ academic achievements.     

试论数学教学中数学思维的培养

在进行高等数学的具体授课过程中切实转变教育观念,将培养学生的创新精神和探索精神作为重点来抓,是实现学生数学素养全面提高的重要方法。高等数学作为现今大学科目设置的一门基础课程,授课教师在进行教学活动理应通过有意识的引导,培养学生尽快形成并熟练运用逆向思维能力、类比思维能力、归纳思维能力进行高等数学学习,为学生实现数学素质的全面提高奠定坚实基础。     

First- and second-generation design and engineering students: experience,attainment and factors influencing them to attend university

Challenges for students who are ‘first-in-family’ to attend university have been discussed within widening participation discourse. However, in the UK, ‘first-in-family’ or first-generation students have frequently been conflated with those experiencing poverty or from lower socio-economic groups. This research integrated survey data with assessment data from final-year design and engineering students in a UK university to examine students’ attainment, the influences on why students decide to attend university and students’ experiences during their degree programmes. Analysis of the data showed variations in the reasons for first- and second-generation students wanting to go to university, particularly a significant difference in the influence of parents. First-generation students described significantly less parental influence on the decision to attend university than second- or subsequent-generation students. Smaller differences in students’ experiences and attainment in university were also noted. Whilst first-generation students reported differences in study habits, their attainment was, on average, marginally higher than that of their peers. Building on others’ theoretical work, which suggests the importance of social capital within higher education (HE), this research highlights the difference in social influences on both university application and expectations of university for those with and without a family history of tertiary education. Further research is needed to explore, in larger samples, whether the social influences on individuals’ perception of HE are in turn shaped by whether or not their parents attended university, and further, what impact this may have, not only on degree outcomes but also on the broader benefits typically associated with graduate experience.     

Cultural capital as an explanation of variation in participation in higher education

Cultural capital is frequently referred to as a construct in the analysis of inequality in higher education. It has been suggested that variations in cultural capital contribute to social class differences in levels of participation, distribution of students between elite and other universities, and the likelihood of dropping out. However, recent analyses of quantitative data suggest that once students’ attainments are included in analysis of levels of participation the effects of social class disappear. One possibility is that cultural capital affects the likelihood of participation in higher education independently of the common measures of social class variation (parental occupation and education). In this analysis we include a measure of students’ cultural capital to investigate whether it exerts an effect on the likelihood of participation that is independent from students’ attainment. We also present and evaluate a practicable method of measuring students’ cultural capital.     

Using TIMSS and PISA results to inform educational policy: a study of Russia and its neighbours

In this paper, we develop a multi-level comparative approach to analyse Trends in International Mathematics and Science Survey (TIMSS) and Programme of International Student Achievement (PISA) mathematics results for a country, Russia, where the two tests provide contradictory information about students’ relative performance. Russian students do relatively well on the TIMSS mathematics test but relatively poorly on the PISA. We compare the performance of Russian students with different levels of family academic resources over the past decade on these tests compared to students with similar family resources in Russia’s neighbours and to Russian students studying in Latvian and Estonian Russian-medium schools. These comparisons and interviews with educators in Latvia and Estonia help us understand why students in Russia may perform lower on the PISA and to draw education policy lessons for improving international test performance generally and Russian students’ PISA mathematics performance specifically.     

Parental involvement and the educational trajectories of youth in Russia

This paper studies the influence of parental involvement in the educational process on the educational achievements of Russian students and their educational strategies, such as studying in high school and successful admission to university. We argue that the patterns of parental involvement represent a link between the formal (school) and informal (family) educational institutions and can have a beneficial effect on academic performance and contribute to the choice of the educational pathway to higher education. Based on data from the longitudinal study ‘Trajectories in Education and Careers’, it was shown that the results of school state examinations are positively associated with the active participation of parents in school meetings, the employment of tutors (except for the Unified State Exam score in mathematics), and the provision of additional literature for the child. A negative relationship was found between homework control and student success. In general, the factor of ‘rational’ (not excessive) involvement is positively associated with educational achievement and educational choice, which may indicate the non-linear nature of the relationship. Parental involvement itself depends on the family characteristics, such as mother’s education, family income and the number of books at home. In addition, family has a positive impact on educational success and educational strategies, and high school characteristics are especially important for the results of the Unified State Exam and the university choice.     

Role of peers in student academic achievement in exogenously formed university groups

We estimate the influence of classmates’ ability characteristics on student achievement in exogenously formed university student groups. The study uses administrative data on undergraduate students at a large selective university in Russia. The presence of high-ability classmates has a significant positive effect on individual grades in key economics and mathematics courses as well as on overall academic performance. While a simple linear-in-means model reveals moderate peer effects, non-linear specifications give strong evidence that students at the top of the ability distribution derive the greatest benefit from high-ability classmates. Less able students are not affected by peers and have no significant influence on peers’ outcomes.     

Traditional or non-traditional students?: incorporating UK students’ living arrangements into decisions about going to university

Since the introduction of the post-1992 university, various, and ongoing, higher education (HE) policy reforms have fuelled academic, political, media and anecdotal discussions of the trajectories of UK university students. An outcome of this has been the dualistic classification of students as being from either ‘traditional’ or ‘non-traditional’ backgrounds. An extensive corpus of literature has sought to critically discuss how students experience their transition into university, questioning specifically the notion that all students follow a linear transition through university. Moreover, there is far more complexity involved in the student experience than can be derived from just employing these monolithic terms. This research proposes incorporating students’ residential circumstances into these debates to encourage more critical discussions of this complex demographic. Drawing upon the experiences of a sample of students from a UK ‘post-1992’ university this research will develop a profile for each accommodation type to highlight the key characteristics of the ‘type’ of student most likely to belong to each group. In doing so this establishes a more detailed understanding of how a ‘student’ habitus might affect the mechanisms which are put in place to assist students in their transitions into and through university.     

The Transition from School to University in Mathematics: Which Influence Do School-Related Variables Have?

Particularly in mathematics, the transition from school to university often appears to be a substantial hurdle in the individual learning biography. Differences between the characters of school mathematics and scientific university mathematics as well as different demands related to the learning cultures in both institutions are discussed as possible reasons for this phenomenon. If these assumptions hold, the transition from school to university could not be considered as a continuous mathematical learning path because it would require a realignment of students’ learning strategies. In particular, students could no longer rely on the effective use of school-related individual resources like knowledge, interest, or self-concept. Accordingly, students would face strong challenges in mathematical learning processes at the beginning of their mathematics study at university. In this contribution, we examine these assumptions by investigating the role of individual mathematical learning prerequisites of 182 first-semester university students majoring in mathematics. In line with the assumptions, our results indicate only a marginal influence of school-related mathematical resources on the study success of the first semester. In contrast, specific precursory knowledge related to scientific mathematics and students’ abilities to develop adequate learning strategies turn out as main factors for a successful transition phase. Implications for the educational practice will be discussed.     

Students’ understanding of the number line / Estudiantes pensando en la recta numérica

We studied the conceptions of students coming from secondary education and university regarding the number line as a representation of real numbers. In the context of a wider questionnaire, 307 students were presented with a task consisting of two verbal items and one graphic item related to the number line. The students were all at different levels in their study of mathematics (in the third, fourth or fifth year of secondary education, or at the beginning or advanced stage of a university degree in mathematics, biology or physical education). A gradient in the depth of the students’ conceptions, associated with the level of their studies in mathematics, was found. This gradient extends from the estrangement of facing the problem or a conception of a drawn or physical matter line, which was associated with students with a lower level of mathematical studies, passing through a vision centred around potential numeric density or a line containing points (discrete), up to an instrumental conception of the line as supportive of magnitudes in advanced students of biology and focusing on continuity sustained by advanced students of mathematics.     

The Barriers of Access to Selective Universities in Russia

This paper examines the characteristics of students admitted to Russian universities with different levels of selectivity. First, we argue that students differ not only by the results of the Unified State Exam (USE), the university entrance exam, but by family and school characteristics, and by educational strategies. Next, it is shown that the probability of being admitted to the most selective HEIs is determined not only by the USE scores, but by characteristics that are not directly related to the applicants’ abilities, such as class specialisation in secondary schools, and high school location. Moreover, we have found that income has an indirect impact on the admission results: a higher level of income increases the probability of being admitted to highly selective universities through the level of investment in pre‐entry coaching and the regional differences in wages. On the other hand, regional differences in costs of living decrease the opportunities of studying in selective universities. Hence, schooling and financial barriers without alternative student support can limit the participation of less affluent students in selective universities.     

Creative arts outreach initiatives in schools: effects on university expectations and discussions about university with important socialisers

ABSTRACT

For youth in disadvantaged schools, university expectations and participation are often limited by access to social and cultural capital that support expectations. This study investigated the utility of creative arts outreach initiatives (CAI) in supporting students’ university expectations and building cultural capital in homes, schools and neighbourhoods in the southwest corridor of Perth, Western Australia. Cultural capital was operationalised as discussions about university with parents, teachers and friends as important socialisers. The CAI provided task-based programs that connected students with industry professionals and university academics to access new social and cultural capital, develop skills that satisfied learning objectives and increase navigational capacity for higher education participation. Multi-group latent growth models were estimated for university expectations across 3 time points and university discussions with important socialisers at time 3 using a propensity-score matched sample comprising 176 students aged between 11 to 18 years from eight high schools (program group?=?88, control group?=?88, females?=?64%). Results indicated stability in levels of university expectations for program participants and increased discussions about university with parents, teachers and friends. Findings support the inclusion of people-rich, co-curricular creative arts programs such as CAI in disadvantaged schools to build social and cultural capital that supports and potentially widens higher education participation in this region.     

‘Some people might say I'm thriving but … ’: non-traditional students' experiences of university

The expansion of neo-liberal policies' framing higher education has contributed to an increase in participation rates of students from non-traditional backgrounds. While an increase of a wider range of students might be seen as contributing to a more just and equitable higher education system, research has shown that broadening entry points does not necessarily ensure inclusion or positive experience for these students. This research investigated the experiences of first in family, rural and international students as they transitioned into their first year of university. Focus group interviews and surveys were used to collect data. Using Bourdieu's theory of field, habitus and capital as well as Weiss's dimensions of loneliness findings illuminate a number of poignant experiences for non-traditional students. We suggest that facilitating the transition for non-traditional students might require a cultural change by universities and a move away from the notion that the students need to ‘adapt’ to university. Rather, the evolving university might provide for increasingly diverse student cohorts by embracing their habitus and unique features.     

第二课堂数学教育教学的实践与认识

第二课堂与第一课堂共同构成高校人才培养系统。第二课堂数学教育教学既是对第一课堂教育教学的有益补充,又是培养新一代实践型大学生的有效途径。本文以新疆工程学院为例,针对高校数学教育教学面临的问题和不足,探讨了第二课堂数学教育教学的途径和方法。通过构建大学第二课堂数学教育教学体系,实现了大学生数学知识、能力、素质协调发展,提升了学生的综合素质,为大学数学教育工作者提供了供参考与借鉴。     

First‐year secondary school mathematics students’ conceptions of mathematical proofs and proving

The aim of this study is to investigate students’ conceptions about proof in mathematics and mathematics teaching. A five‐point Likert‐type questionnaire was administered in order to gather data. The sample of the study included 33 first‐year secondary school mathematics students (at the same time student teachers). The data collected were analysed and interpreted using the methods of qualitative and quantitative analysis. The results have revealed that the students think that mathematical proof has an important place in mathematics and mathematics education. The students’ studying methods for exams based on imitative reasoning which can be described as a type of reasoning built on copying proof, for example, by looking at a textbook or course notes proof or through remembering a proof algorithm. Moreover, they addressed to the differences between mathematics taught in high school and university as the main cause of their difficulties in proof and proving.     

Being ‘religious and cultural rebels’ or being ‘cultural hybrids’? The role of identity capital in Muslim female university students’ self-construction

ABSTRACT

Research on university-educated Muslim women in different cultural contexts has displayed an intricate and paradoxical connection between experiences of higher education and identity mediation. A traditional model conceptualizes Muslim female university students as ‘rebels’ against their heritage religion and culture. Recent developments in the context of poststructural feminism highlight the configuration of a hybrid self-image embracing the target and heritage cultures in an additive and empowering manner. To enhance our understanding of the potential impact of higher education on identity negotiation, this study employs the notion of identity capital in an analysis of two South Asian Muslim female university students in Hong Kong over a two-year period. Participants’ life histories reveal that personal capacity to invest in identity capital (a contextually-dependent hybrid self) relies on an individual’s unique possession of various forms of capital. This study thus cautions against generalizations about Muslim women’s university experiences, and suggests that Muslim minorities as multicultural students and that their multilingual/multicultural skills, as forms of ‘intercultural capital,’ should be valued by all societal institutions.     

再论高等数学教学中人文精神的渗透

伴随着新时期高校学生来源结构、心理发展的变化,对大学高等数学教学提出了新挑战。在高等数学教学中传播人文精神,利于摆脱单一性和枯燥性,让学生感悟数学精神,掌握数学方法,有效激发学习兴趣,同时也能起到教育价值的引领作用,以培养当代合格的大学生。本文以此为背景,结合当前高校教学实践,提出高等数学中人文精神渗透的若干路径。     

The effects of perceived professor competence,warmth and gender on students’ likelihood to register for a course

Abstract

The present research examined whether students’ likelihood to take a course with a male or female professor was affected by different expectations of professors based on gender stereotypes. In an experimental vignette study, 503 undergraduate students from a Canadian university were randomly assigned to read a fictitious online review, similar to those found on RateMyProfessors.com, that varied professor gender, overall quality score and level of caring for students. Students responded to items assessing their likelihood to take a course with the professor, perceived competence and warmth of the professor, and their own gender bias. An analysis of variance revealed an interaction between professor gender, student gender, quality score and caring. When quality score was low, male students indicated a lower likelihood of taking a course with female professors who were not described as caring. Regression analyses showed, however, that students' gender bias was negatively associated with likelihood to take a course with a female professor. These results imply that student gender plays a role in evaluations of female professors who do not display stereotypical warmth but that gender bias, which is typically higher for males at the group-level, may be an underlying factor.