Cristina Varsavsky

Chances of success in and engagement with mathematics for students who enter university with a weak mathematics background

An increasing number of Australian students elect not to undertake studies in mathematical methods in the final years of their secondary schooling. Some higher education providers now offer pathways for these students to pursue mathematics studies up to a major specialization within the bachelor of science programme. This article analyses the performance in and engagement with mathematics of the students who elect to take up this option. Findings indicate that these are not very different when compared to students who enter university with an intermediate mathematics preparation. The biggest contrast in performance and engagement is with those students who have studied mathematics in senior secondary school to an advanced level.

Perceptions of science graduating students on their learning gains

In this study, the Science Student Skills Inventory was used to gain understanding of student perceptions about their science skills set developed throughout their programme (scientific content knowledge, communication, scientific writing, teamwork, quantitative skills, and ethical thinking). The study involved 400 responses from undergraduate science students about to graduate from two Australian research-intensive institutions. For each skill, students rated on a four-point Likert scale their perception of the importance of developing the skill within the programme, how much they improved it throughout their undergraduate science programme, how much they saw the skill included in the programme, how confident they were about the skill, and how much they will use the skill in the future. Descriptive statistics indicate that overall, student perception of importance of these skills was greater than perceptions of improvement, inclusion in the programme, confidence, and future use. Quantitative skills and ethical thinking were perceived by more students to be less important. t-Test analyses revealed some differences in perception across different demographic groups (gender, age, graduate plans, and research experience). Most notably, gender showed significant differences across most skills. Implications for curriculum development are discussed, and lines for further research are given.

Factors Influencing Students' Perceptions of Their Quantitative Skills.

There is international agreement that quantitative skills (QS) are an essential graduate competence in science. QS refer to the application of mathematical and statistical thinking and reasoning in science. This study reports on the use of the Science Students Skills Inventory to capture final year science students’ perceptions of their QS across multiple indicators, at two Australian research-intensive universities. Statistical analysis reveals several variables predicting higher levels of self-rated competence in QS: students’ grade point average, students’ perceptions of inclusion of QS in the science degree programme, their confidence in QS, and their belief that QS will be useful in the future. The findings are discussed in terms of implications for designing science curricula more effectively to build students’ QS throughout science degree programmes. Suggestions for further research are offered.

Assessment and Teaching of Science Skills: Whole of Programme Perceptions of Graduating Students.

This study reports on science student perceptions of their skills (scientific knowledge, oral communication, scientific writing, quantitative skills, teamwork and ethical thinking) as they approach graduation. The focus is on which teaching activities and assessment tasks over the whole programme of study students thought utilised each of the six nominated skills. In this quantitative study involving two Australian research-intensive universities, the teaching activities identified by students as developing the broadest number of skills were laboratory classes and tutorials. Lectures were only effective for developing scientific knowledge and, to a limited extent, ethical thinking. Assessment tasks that students perceived to utilise the broadest range of skills were assignments and oral presentations. The findings of this study document the students’ perspective about their gains in skill sets, and the teaching activities and assessment tasks that require them to use and thus develop these skills. The findings provide an opportunity to evaluate the constructive alignment of skills development, teaching activities and assessment tasks from a student’s perspective. Further research is required to actually measure the skills that students gain over their whole programme of study.

Social network perspectives reveal strength of academic developers as weak ties

Social network perspectives acknowledge the influence of disciplinary cultures on academics’ teaching beliefs and practices with implications for academic developers. The contribution of academic developers in 18 scholarship of teaching and learning (SoTL) projects situated in the sciences are explored by drawing on data from a two-year national project in Australia within a case study research design. The application of a social network lens illuminated the contribution of eight academic developers as weak ties who infused SoTL knowledge within teams. Two heuristic cases of academic developers who also linked across networks are presented. Implications of social network perspective are discussed.

Strategies that challenge: exploring the use of differentiated assessment to challenge high-achieving students in large enrolment undergraduate cohorts

Academics teaching large and highly diverse classes are familiar with the inevitable effect this has on promulgating teaching and assessment practices to ‘middle of the distribution’, thus ignoring the distribution extremes. Although the literature documents a wide range of strategies for supporting poor-performing students in large class settings, very little work has been reported on catering for more capable students who may feel frustrated and poorly challenged in such settings. This paper reports on the introduction of alternative assessment tasks into two first-year science units of study, with the aim of providing more challenging learning opportunities for high-performing students. It analyses student engagement with and perception of alternative assessment, and concludes that such opportunities are well received by students, even when no additional marks are available nor special credit recognition given for completing an advanced task.

Use of CAS in secondary school: a factor influencing the transition to university-level mathematics?

Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one where students learn and are examined with a computer algebra system (CAS) and another where students can only use scientific calculators. This study compares the performance of 1240 students as they transitioned to traditional university-level mathematics and according to whether they learned intermediate mathematics with or without the assistance of a CAS. This study concludes that students without CAS show a slight advantage, but the most important factor affecting student performance is the uptake of advanced-level mathematics studies in secondary school.

Investigating students’ perceptions of graduate learning outcomes in mathematics

ABSTRACT The purpose of this study is to explore the perceptions mathematics students have of the knowledge and skills they develop throughout their programme of study. It addresses current concerns about the employability of mathematics graduates by contributing much needed insight into how degree programmes are developing broader learning outcomes for students majoring in mathematics. Specifically, the study asked students who were close to completing a mathematics major (n = 144) to indicate the extent to which opportunities to develop mathematical knowledge along with more transferable skills (communication to experts and non-experts, writing, working in teams and thinking ethically) were included and assessed in their major. Their perceptions were compared to the importance they assign to each of these outcomes, their own assessment of improvement during the programme and their confidence in applying these outcomes. Overall, the findings reveal a pattern of high levels of students’ agreement that these outcomes are important, but evidence a startling gap when compared to students’ perceptions of the extent to which many of these – communication, writing, teamwork and ethical thinking – are actually included and assessed in the curriculum, and their confidence in using such learning.

Building up the self‐confidence of mathematics students in non‐science courses

Lecturers teaching mathematics to students in faculties other than science face the problem of having to cater for students with heterogeneous backgrounds. Students with gaps in their mathematical knowledge, overseas students, mature‐age students and women are the ones who suffer most in these courses. The Mathematics Learning Centre at Monash University addresses the needs of these mathematically disadvantaged students by providing a comfortable place in which tutors help them to increase their competence and self‐confidence in their mathematical studies.

Implementing and investigating distributed leadership in a national university network – SaMnet

ABSTRACT The literature suggests that collaborative approaches to leadership, such as distributed leadership, are essential for supporting educational innovators in leading change in teaching in universities. This paper briefly describes the array of activities, processes and resources to support distributed leadership in the implementation of a network, the Science and Mathematics Network of Australian University Educators – SaMnet. The research study investigated participating educational innovators’ experiences of distributed leadership using a mixed method approach after 2 years of immersion in SaMnet. Fifty innovators from 100 were surveyed and data analysed to obtain influences of the teams, the institution and SaMnet. Focus groups were used to extract rich descriptions of the experiences of the innovators. The study suggests that distributed leadership as the approach underpinning SaMnet cultivated leadership helping to complement team and institutional influences in a measurable way and to support educational innovators in leading change in university science and mathematics teaching.