Diversity in mathematics assessment equals diversity in opinion?

We undertook a study to investigate the views of both students and staff in our department towards assessment in mathematics, as a precursor to considering increasing the diversity of assessment types. In a survey and focus group there was reasonable agreement amongst the students with regards major themes such as mode of assessment. However, this level of agreement was not seen amongst the staff, where discussions regarding diversity in mathematics assessment definitely revealed a difference of opinion. As a consequence, we feel that the greatest barriers to increasing diversity may be with staff, and so more efforts are needed to communicate to staff the advantages and disadvantages, in order to give them greater confidence in trying a range of assessment types.

University teaching: recognition and reward

Teaching in universities has increased in importance in recent years which, in part, is a consequence of the change in funding of universities from block grants to student tuition fees. Various initiatives have been made which serve to raise the profile of teaching and give it greater recognition. It is also important that teaching is recognised even more fully and widely, and crucially that it is rewarded accordingly. We propose a mechanism for recognising and rewarding university teaching that is based on a review process that is supported by documented evidence whose outcomes can be fed into performance and development reviews, and used to inform decisions about reward and promotion, as well as the review of probationary status where appropriate.

The nature of spontaneity in high quality mathematics learning experiences

Spontaneity has been linked to high quality learning experiences in mathematics (Csikszentmihalyi & Csikszentmihalyi, 1992; Williams, 2002).This paper shows how spontaneity can be identified by attending to the nature of social elements in the process of abstracting (Dreyfus, Hershkowitz, & Schwarz, 2001). This process is elaborated through an illustrative example—a Year 8 Australian male student who scaffolded his learning by attending to images in the classroom that were intended for other purposes. Leon’s cognitive processing was not ‘observable’ (Dreyfus et al., 2001) in classroom dialogue because Leon ‘thought alone’. Post-lesson videostimulated reconstructive interviews facilitated study of Leon’s thought processes and extended methodological techniques available to study thinking in classrooms.

The "strugglers" in selected computer based mathematics classrooms

In this paper, the experiences of lower achieving mathematics students in two secondary mathematics classrooms in which computers were regularly used are described. A year 8 and a year 9 mathematics class from one secondary school participated in the ethnographic study. The results show that in these two classrooms the learning relationships and power relationships did not, in general, support the learning and engagement of lower achievers in mathematics. Research into computer based teaching methods that engage low achieving students in computer based mathematics is needed.

Academic skills and beyond : a resource based approach to support student success in higher education

An increasingly diverse range of students are entering higher education, bringing with them a vast range of experiences, skills and pre-existing knowledge. However, approaches to increasing student participation (and therefore success) to date have focused on strategies aimed at supporting non-traditional students to “fit in”, rather than changing existing structures to accommodate their needs. This paper will outline a resource-based approach to student success, which capitalises on the resources and capacities existing within the student, within their performance of the student role and within the environment that surrounds their learning.
This paper will report on a study and propose a resource based approach to student success. Three main sites or domains are identified as a focus of this approach – intrapersonal resources, skills resources and environmental resources. These domains interact with each other to support student success, and three potential methods for implementing a resource based approach are highlighted in the spaces where they intersect. Pedagogical design, mapping and matching, and learning support all have a role in enabling both students and universities to make the most of their existing resources and develop new ones.

Wikis as individual student learning tools : the limitations of technology

This paper presents research into the attitudes and behaviours of students using wikis for individual writing tasks. The wiki-based assignment differs from the use of wikis normally researched because it was an individual task, not involving collaborative writing. This activity provides an excellent opportunity to learn more about how wikis are actually used by students in higher education. The research finds there is no compelling evidence that the wiki on its own improves performance over and above the general aptitude of students. It also finds that students generally did not utilise the wikis for high-intensity editing and revision. However, students did report that the wiki was valuable as a way of aiding them to review and develop their ideas. We conclude that using wikis for individual writing tasks can, where appropriate active instructions are given to support development of cognitive abilities, lead to improved outcomes for students.

Improving middle years mathematics and science

The overall aim of the Improving Middle Years Mathematics and Science (IMYMS) project was to explore the explore the nature and significance of subject cultures in framing teacher and school practice in mathematics and science and to develop a middle years school improvement model that takes account of these subject cultures in influencing school and teacher change. The project also investigated ways in which effective pedagogies in mathematics and science can be monitored; and ways in which higher order learning outcomes in mathematics and science can be reliably assessed.

The project has worked with more than 30 schools in four clusters to support them in planning for and implementing change. A framework describing effective mathematics and science pedagogies was developed, and used as the basis for auditing procedures that track classroom practice. Instruments were developed and used to probe: teacher classroom practice; student perceptions of classroom practice and learning preferences; knowledge outcomes; reasoning in science and mathematics; understanding of the nature of science and mathematics; and performance skills in mathematics and science investigations. Data sources have also included questionnaire data, interviews, school reports and field notes. Video data was also collected and used for stimulated recall interviews concerning teacher beliefs and practices.

In order to support teachers and schools to improve their practice, the project team worked with cluster educators in each of the clusters, and with school coordinators, through a number of network meetings including an initial ‘leading change’ workshop, through cluster visits, and the provision of auditing and planning instruments supported by data analysis support. The nature of the subject cultures of, and effective pedagogies in, mathematics and science, was explored using interview data with effective teachers, literature exploration, interviews with project teachers to map characteristics of their practice, the team’s experience of the construction and analysis of achievement tests, a video and interview study of teachers of mathematics and science, and student perceptions data.

Blending student technology experiences in formal and informal learning

In this article, we discuss the importance of recognizing students' technology-enhanced informal learning experiences and develop pedagogies to connect students' formal and informal learning experiences, in order to meet the demands of the knowledge society. The Mobile-Blended Collaborative Learning model is proposed as a framework to bridge the gap between formal and informal learning and blend them together to form a portable, flexible, collaborative and creative learning environment. Using this model, three categories of mobile application tools, namely tools for collaboration, tools for coordination and tools for communication, have been identified as pertinent in blending formal and informal learning, and they can be connected seamlessly to provide an effective learning mechanism to support the learning process.

Home, school and community partnerships to support children's numeracy

Presents the findings of a study in Australia which focused on the collaboration between home, school and community that support numeracy development in children. Aims of the project; Framework used in the analysis of various partnerships between the social institutions; Ways in which the partnerships can be initiated; Concerns that are essential in building and sustaining long-term partnerships to support children's numeracy development.

The effectiveness of an intelligent tutoring system on the attitude and achievement of developmental mathematics students in a community college

This study examined the effectiveness of intelligent tutoring system instruction, grounded in John Anderson's ACT theory of cognition, on the achievement and attitude of developmental mathematics students in the community college setting. The quasi-experimental research used a pretest-posttest control group design. The dependent variables were problem solving achievement, overall achievement, and attitude towards mathematics. The independent variable was instructional method.^ Four intact classes and two instructors participated in the study for one semester. Two classes (n = 35) served as experimental groups; they received six lessons with real-world problems using intelligent tutoring system instruction. The other two classes (n = 24) served as control groups; they received six lessons with real-world problems using traditional instruction including graphing calculator support. It was hypothesized that students taught problem solving using the intelligent tutoring system would achieve more on the dependent variables than students taught without the intelligent tutoring system.^ Posttest mean scores for one teacher produced a significant difference in overall achievement for the experimental group. The same teacher had higher means, not significantly, for the experimental group in problem solving achievement. The study did not indicate a significant difference in attitude mean scores.^ It was concluded that using an intelligent tutoring system in problem solving instruction may impact student's overall mathematics achievement and problem solving achievement. Other factors must be considered, such as the teacher's classroom experience, the teacher's experience with the intelligent tutoring system, trained technical support, and trained student support; as well as student learning styles, motivation, and overall mathematics ability. ^

The effectiveness of an intelligent tutoring system on the attitude and achievement of developmental mathematics students in a community college

This study examined the effectiveness of intelligent tutoring system instruction, grounded in John Anderson's ACT theory of cognition, on the achievement and attitude of developmental mathematics students in the community college setting. The quasi-experimental research used a pretest-posttest control group design. The dependent variables were problem solving achievement, overall achievement, and attitude towards mathematics. The independent variable was instructional method. Four intact classes and two instructors participated in the study for one semester. Two classes (n = 35) served as experimental groups; they received six lessons with real-world problems using intelligent tutoring system instruction. The other two classes (n = 24) served as control groups; they received six lessons with real-world problems using traditional instruction including graphing calculator support. It was hypothesized that students taught problem solving using the intelligent tutoring system would achieve more on the dependent variables than students taught without the intelligent tutoring system. Posttest mean scores for one teacher produced a significant difference in overall achievement for the experimental group. The same teacher had higher means, not significantly, for the experimental group in problem solving achievement. The study did not indicate a significant difference in attitude mean scores. It was concluded that using an intelligent tutoring system in problem solving instruction may impact student's overall mathematics achievement and problem solving achievement. Other factors must be considered, such as the teacher's classroom experience, the teacher's experience with the intelligent tutoring system, trained technical support, and trained student support; as well as student learning styles, motivation, and overall mathematics ability.

Less is more: development and evaluation of an interactive e-atlas to support anatomy learning

An Interactive electronic Atlas (IeA) was developed to assist first-year nursing students with interpretation of laboratory-based prosected cadaveric material. It was designed, using pedagogically sound principles, as a student-centered resource accessible to students from a wide range of learning backgrounds. It consisted of a highly simplified interactive interface limited to essential anatomical structures and was intended for use in a blended learning situation. The IeA's nine modules mirrored the body systems covered in a Nursing Biosciences course, with each module comprising a maximum of 10 pages using the same template: an image displaying a cadaveric specimen and, in most cases, a corresponding anatomical model with navigation panes (menus) on one side. Cursor movement over the image or clicking the menu highlighted the structure with a transparent overlay and revealed a succinct functional description. The atlas was complemented by a multiple-choice database of nearly 1,000 questions using IeA images. Students' perceptions of usability and utility were measured by survey (n = 115; 57% of the class) revealing mean access of 2.3 times per week during the 12-week semester and a median time of three hours of use. Ratings for usability and utility were high, with means ranging between 4.24 and 4.54 (five-point Likert scale; 5 = strongly agree). Written responses told a similar story for both usability and utility. The role of providing basic computer-assisted learning support for a large first-year class is discussed in the context of current research into student-centered resources and blended learning in human anatomy.

Investigating ‘moments’ for student agency through a differentiated music curriculum

Research provides compelling evidence linking music-making to academic achievement and increased wellbeing for disengaged students. However, in the Australian context, education policy has narrowed its focus to literacy and numeracy, with an associated ‘accountability’ framework of mandated assessment and reporting practices. Within this context teachers are being asked to demonstrate how, through their pedagogical practices, they meet the needs of all their students. As a result of this, differentiation has become the lens through which student learning and engagement are being monitored. Drawing on data from a large state secondary school, this paper examines how a differentiated music curriculum is being implemented to support student agency. We demonstrate that, through a range of formal and informal music programs, agency is enhanced through the development of self-reflexive and self-referential learning practices. However, we suggest that differentiation, alone, does not unmask the reasons behind students’ different learning experiences nor does it necessarily redress entrenched educational inequalities. We also suggest that the ‘moments’ for student agency, created by these music programs, may have as much to do with the ‘fragile’ position of music within the broader school curriculum where the spotlight of high-stakes testing is directed elsewhere.

A holistic approach to the support and engagement of first year students : a retention strategy

Institutions should enact holistic approaches that address students’ personal, social and academic engagement in the early weeks of first year to facilitate retention (Nelson, Kift & Clarke, 2008). This holistic approach is central to the FYE program at Queensland University of Technology (QUT), which was established to maximise learning engagement and hence positively influence the retention of commencing students. The program aims to • engage students in their learning through an intentionally designed and enacted curriculum (Kift, 2008) • facilitate timely access to life and learning support • promote a sense of belonging to the discipline, cohort and profession. The FYE program’s aims are achieved by strategic alliances between academic and professional staff across the institution.

Levelling expectations across different years in an undergraduate degree to support work-related learning : evidence for a multi-pronged approach.

One of the ways in which university departments and faculties can enhance the quality of learning and assessment is to develop a ‘well thought out criterion‐referenced assessment system’ (Biggs, 2003, p. 271). In designing undergraduate degrees (courses) this entails making decisions about the levelling of expectations across different years through devising objectives and their corresponding criteria and standards: a process of alignment analogous to what happens in unit (subject) design. These decisions about levelling have important repercussions in terms of supporting students’ work‐related learning, especially in relation to their ability to cope with the increasing cognitive and skill demands made on them as they progress through their studies. They also affect the accountability of teacher judgments of students’ responses to assessment tasks, achievement of unit objectives and, ultimately, whether students are awarded their degrees and are sufficiently prepared for the world of work. Research reveals that this decision‐making process is rarely underpinned by an explicit educational rationale (Morgan et al, 2002). The decision to implement criterion referenced assessment in an undergraduate microbiology degree was the impetus for developing such a rationale because of the implications for alignment, and therefore ‘levelling’ of expectations across different years of the degree. This paper provides supporting evidence for a multi‐pronged approach to levelling, through backward mapping of two revised units (foundation and exit year). This approach adheres to the principles of alignment while combining a work‐related approach (via industry input) with the blended disciplinary and learner‐centred approaches proposed by Morgan et al. (2002). It is suggested that this multi‐pronged approach has the potential for making expectations, especially work‐related ones across different year levels of degrees, more explicit to students and future employers.