A case study of teachers' mathematics content knowledge and attitudes toward mathematics and teaching

This study intended to measure teacher mathematical content knowledge both before and after the first year of teaching and taking graduate teacher education courses in the Teach for America (TFA) program, as well as measure attitudes toward mathematics and teaching both before and after TFA teachers’ first year. There was a significant increase in both mathematical content knowledge and attitudes toward mathematics over the TFA teachers’ first year teaching. Additionally, several significant correlations were found between attitudes toward mathematics and content knowledge. Finally, after a year of teaching, TFA teachers had significantly better attitudes toward mathematics and teaching than neutral.

Integrating concrete and virtual materials in an elementary mathematics classroom : a case study of success with fractions

This paper describes an approach to introducing fraction concepts using generic software tools such as Microsoft Office's PowerPoint to create "virtual" materials for mathematics teaching and learning. This approach replicates existing concrete materials and integrates virtual materials with current non-computer methods of teaching primary students about fractions. The paper reports a case study of a 12-year-old student, Frank, who had an extremely limited understanding of fractions. Frank also lacked motivation for learning mathematics in general and interacted with his peers in a negative way during mathematics lessons. In just one classroom session involving the seamless integration of off-computer and on-computer activities, Frank acquired a basic understanding of simple common equivalent fractions. Further, he was observed as the session progressed to be an enthusiastic learner who offered to share his learning with his peers. The study's "virtual replication" approach for fractions involves the manipulation of concrete materials (folding paper regions) alongside the manipulation of their virtual equivalent (shading screen regions). As researchers have pointed out, the emergence of new technologies does not mean old technologies become redundant. Learning technologies have not replaced print and oral language or basic mathematical understanding. Instead, they are modifying, reshaping, and blending the ways in which humankind speaks, reads, writes, and works mathematically. Constructivist theories of learning and teaching argue that mathematics understanding is developed from concrete to pictorial to abstract and that, ultimately, mathematics learning and teaching is about refinement and expression of ideas and concepts. Therefore, by seamlessly integrating the use of concrete materials and virtual materials generated by computer software applications, an opportunity arises to enhance the teaching and learning value of both materials.

Research and/or learning and teaching : a study of Australian professors' priorities, beliefs and behaviours

This paper presents findings from an empirical study of key aspects of the teaching and research priorities, beliefs and behaviours of 72 professorial and associate professorial academics in Science, Information Technology and Engineering across four faculties in three Australian universities. The academics ranked 16 research activities and 16 matched learning and teaching (L&T) activities from three perspectives: job satisfaction, role model behaviour and perceptions of professional importance. The findings were unequivocally in favour of research in all three areas and remarkably consistent across the universities. The only L&T activity that was ranked consistently well was 'improving student satisfaction ratings for teaching', an area in which academics are increasingly held accountable. Respondents also indicated that their seniors encourage research efforts more than L&T efforts. Recommendations include that higher education rewards for quality L&T are maintained or improved and that recognition of L&T research domains is further strengthened.

From policy borrowing to implementation : an illuminative evaluation of learning and teaching in higher education in Australia (2002 to 2008)

This study documents and theorises the consequences of the 2003 Australian Government Reform Package focussed on learning and teaching in Higher Education during the period 2002 to 2008. This is achieved through the perspective of program evaluation and the methodology of illuminative evaluation. The findings suggest that the three national initiatives of that time, Learning and Teaching Performance Fund (LTPF), Australian Learning and Teaching Council (ALTC), and Australian Universities Quality Agency (AUQA), were successful in repositioning learning and teaching as a core activity in universities. However, there were unintended consequences brought about by international policy borrowing, when the short-lived nature of LTPF suggests a legacy of quality compliance rather than one of quality enrichment.

The WIL (Work Integrated Learning) Report : A national scoping study [Australian Learning and Teaching Council (ALTC) Final report]

This report provides an account of the first large-scale scoping study of work integrated learning (WIL) in contemporary Australian higher education. The explicit aim of the project was to identify issues and map a broad and growing picture of WIL across Australia and to identify ways of improving the student learning experience in relation to WIL. The project was undertaken in response to high levels of interest in WIL, which is seen by universities both as a valid pedagogy and as a means to respond to demands by employers for work-ready graduates, and demands by students for employable knowledge and skills. Over a period of eight months of rapid data collection, 35 universities and almost 600 participants contributed to the project. Participants consistently reported the positive benefits of WIL and provided evidence of commitment and innovative practice in relation to enhancing student learning experiences. Participants provided evidence of strong partnerships between stakeholders and highlighted the importance of these relationships in facilitating effective learning outcomes for students. They also identified a range of issues and challenges that face the sector in growing WIL opportunities; these issues and challenges will shape the quality of WIL experiences. While the majority of comments focused on issues involved in ensuring quality placements, it was recognised that placements are just one way to ensure the integration of work with learning. Also, the WIL experience is highly contextualised and impacted by the expectations of students, employers, the professions, the university and government policy.

Caught in the headlights: Designing for creative learning and teaching in higher education

This study was an exploration of the different ways that educators conceptualise and approach creative learning and teaching. The research revealed theoretical and practice-based insights, demonstrating that exemplary teachers adopt an ecological approach to designing for student creativity; this approach acknowledges and works with the complexity of the higher education environment and the dynamic relationships between students, peers and teachers. The inquiry confirmed the value of using learning design patterns to uncover hidden creative processes.

Mathematics knowledge for teaching and the classroom environment

This study investigated the classroom environment in an underperforming mathematics classroom. The objectives were: (1) to investigate the classroom environment and identify influences upon it, and (2) to further explore those influences (i.e., teacher knowledge). This was completed using a diachronic case study approach in which data were gathered during lesson observations and coaching sessions. These data were analysed to describe and exemplify the classroom environment, then further described against forms of teacher knowledge. Conjectures regarding the importance of teacher knowledge of content were made which formed a base for developing a model of teacher planning and pedagogy.

Linking Research and Teaching: an Applied Soft Systems Methodology Case Study

This paper links research and teaching through an applied Soft Systems Methodology case study. The case study focuses on the redevelopment of a Research and Professional Skills module to provide support for international postgraduate students through the use of formative feedback with the aim of increasing academic research skills and confidence. The stages of the Soft Systems Methodology were used as a structure for the redevelopment of module content and assessment. It proved to be a valuable tool for identifying complex issues, a basis for discussion and debate from which an enhanced understanding was gained and a successful solution implemented together with a case study that could be utilised for teaching Soft Systems Methodology concepts. Changes to the module were very successful and resulted in significantly higher grades and a higher pass rate.

Enchiridion ethicum ad theses contractiores redactum in usum pupillorum, p. D. J. L., 1694

Forty-six-page notebook in modern hardcover binding containing John Leverett's edited version of Henry More's "Enchiridion ethicum" transcribed in Latin in 1694. The last page of the document includes entries in Leverett's hands: "Colom // January 17 1690/1," "Winth // January 31 1692/3", and "Vaug // Marty 10 1695/6." The inscriptions and notes likely refer to Benjamin Colman (Harvard AB 1692), Adam Winthrop (Harvard AB 1694), and George Vaughn (Harvard AB 1696).

Student lecture notes of Benjamin Peirce, 1797-1798

This collection contains approximately twenty-three handwritten lecture summaries on six leaves made by Harvard undergraduate Benjamin Peirce between September 1797 and November 22, 1798. The summaries generally provide a few sentences describing the topic covered and primarily pertain to lectures on English grammar delivered by Eliphalet Pearson, the Hollis Professor of Hebrew and other Oriental Languages. There are also summaries for single lectures by David Tappan, the Hollis Professor Divinity; Samuel Webber, the Hollis Professor of Mathematics and Natural Philosophy; and John Snelling Popkin, the Greek Tutor from 1795 to 1798, and later the Eliot Professor of Greek Literature. There is also an undated summary of a lecture by Benjamin Waterhouse, the Hersey Professor of Theory and Practice of Physic.

An Hebrew grammar, collected chiefly from those of Mr. Israel Lyons, teacher of Hebrew in the University of Cambridge; and the Rev. Richard Grey, D.D. rector of Hinton, in Northamptonshire: To which is subjoined a praxis, taken from the sacred classics, and containing a specimen of the whole Hebrew language: with a sketch of the Hebrew poetry

as retrieved by Bishop Hare ...

Notification from William Cutler to the selectmen of Cambridge, Massachusetts, that Dr. Philip Brukowitz and wife were inhabiting his father's house in Cambridge, 1758 April 25

Single page notification addressed to the selectmen of Cambridge, Massachusetts, dated 25 April 1758, in which William Cutler writes that he took into his father’s Cambridge house as tenants Dr. George Philip Brukowitz and his wife, from Woburn, Massachusetts. After the Boston smallpox epidemic of 1721, the town of Cambridge enacted a requirement in 1723 that no resident would receive or admit any non-resident family into their homes for the space of a month without informing the town selectmen. The penalty for failing to do so was twenty shillings.