Syllabus of mathematics: a symposium

Mode of access: Internet.

The mathematical part of elementary statistics; a textbook for college students,

Mode of access: Internet.

Secondary math and science education [microform] : hearing before the Subcommittee on Science, Research, and Technology of the Committee on Science and Technology, U.S. House of Representatives, Ninety-seventh Congress, second session, May 7, 1982.

"No. 169."

Final report of the Special Education Advisory Panels and special education content-area standards /

The content-area standards recommended by the panels include standards for: all special education teachers; teachers of students with mild and moderate disabilities; teachers of students with moderate and severe disabilities; early childhood special education teachers; teachers of students who are deaf/hard of hearing; teachers of students who are deaf-blind/blind or visually impaired; speech-language pathologists; bilingual special education teachers; and special education standards for regular classroom teachers.

Transitions for students who are deaf-blind : a report /

Provides an overview of services offered by various institutions in Illinois that help the deaf-blind individual face the challenges of transition into an adult role in society, discusses weaknesses in the system, and suggests revisions and additions to the program.

The western practical arithmetic ... containing a great variety of exercises, particularly adapted to the currency of the United States. With an appendix: containing the canceling system, abbreviations in multiplication, mensuration, and the roots. Designed for the use of schools and private students.

Mode of access: Internet.

The western practical arithmetic ... containing a great variety of exercises, particularly adapted to the currency of the United States: to which is added a short system of book-keeping, designed for the use of schools and private students.

Mode of access: Internet.

Learning mathematics in a classroom community of inquiry

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal development (ZPD) is invoked as a fundamental framework for explaining learning as increasing participation in a community of practice characterized by mathematical inquiry. The analysis draws on classroom observation and interviews with students and the teacher to show how the teacher established norms and practices that emphasized mathematical sense-making and justification of ideas and arguments and to illustrate the learning practices that students developed in response to these expectations.

Understanding technology integration in secondary mathematics: Theorising the role of the teacher

Previous research on computers and graphics calculators in mathematics education has examined effects on curriculum content and students’ mathematical achievement and attitudes while less attention has been given to the relationship between technology use and issues of pedagogy, in particular the impact on teachers’ professional learning in specific classroom and school environments. This observation is critical in the current context of educational policy making, where it is assumed – often incorrectly – that supplying schools with hardware and software will increase teachers’ use of technology and encourage more innovative teaching approaches. This paper reports on a research program that aimed to develop better understanding of how and under what conditions Australian secondary school mathematics teachers learn to effectively integrate technology into their practice. The research adapted Valsiner’s concepts of the Zone of Proximal Development, Zone of Free Movement and Zone of Promoted Action to devise a theoretical framework for analysing relationships between factors influencing teachers’ use of technology in mathematics classrooms. This paper illustrates how the framework may be used by analysing case studies of a novice teacher and an experienced teacher in different school settings.

Matematiklärares kommunikation i början och i slutet av ett kompetensutvecklingsprojekt

Sammanfattning Studiens fokus var dels vilka kategorier av innehåll som framkom i lärarnas kommunikation dels vilka förändringar i innehållet som uttolkades i matematiklärares kommunikation i början och i slutet av ett kompetensutvecklingsprojekt. Kontexten i kompetensutvecklingsprojektet var i form av modellen learning study, där sju lärarlag, sammanlagt 20 lärare deltagit. Ramverket i studien var tematisk analys, analys av matematiska kompetenser samt funktionell textanalys. Studiens resultat visar på flera förändringar, till exempel att de fem uttolkade huvudkategorierna innefattade fler underkategorier i slutet av kompetensutvecklingsprojektet. När det gäller matematiskt innehåll så visar analysen att lärarna kommunicerade matematika kompetenser på ett mer mångfacetterat sätt i slutet av kompetensutvecklingsprojektet. Då lärarna kommunicerade matematikundervisning använde de sig till viss del av ett annat sätt att uttrycka sig i slutet än i början av kompetensutvecklingsprojektet. I början talade de till exempel om att höra vad eleverna uttrycker till att i slutet använda sig av ordet lyssna. Resultatet visade även förändringar avseende hur lärarna samtalade om laborativt material. Fokus har flyttats från det laborativa materialet till att lärarna funderade över vilken matematik som eleverna uttryckte med hjälp av det laborativa materialet.  

Individual's recollections of their experiences in eye clinics and understanding of their eye condition:results from a survey of visually impaired people in Britain

Background/aims: Network 1000 is a UK-based panel survey of a representative sample of adults with registered visual impairment, with the aim of gathering information about people’s opinions and circumstances. Method: Participants were interviewed (Survey 1, n = 1007: 2005; Survey 2, n = 922: 2006/07) on a range of topics including the nature of their eye condition, details of other health issues, use of low vision aids (LVAs) and their experiences in eye clinics. Results: Eleven percent of individuals did not know the name of their eye condition. Seventy percent of participants reported having long-term health problems or disabilities in addition to visual impairment and 43% reported having hearing difficulties. Seventy one percent reported using LVAs for reading tasks. Participants who had become registered as visually impaired in the previous 8 years (n = 395) were asked questions about non-medical information received in the eye clinic around that time. Reported information received included advice about ‘registration’ (48%), low vision aids (45%) and social care routes (43%); 17% reported receiving no information. While 70% of people were satisfied with the information received, this was lower for those of working age (56%) compared with retirement age (72%). Those who recalled receiving additional non-medical information and advice at the time of registration also recalled their experiences more positively. Conclusions: Whilst caution should be applied to the accuracy of recall of past events, the data provide a valuable insight into the types of information and support that visually impaired people feel they would benefit from in the eye clinic.

Essential mathematics:a refresher course for business and social studies

Many students starting courses in business, accounting and similar areas want to update their mathematical skills, and are seeking a suitable text; this book addresses their needs. Written in an informal style, emphasising understanding and application of techniques rather than formal proofs, it covers all the mathematics needed by entrants to BTEC, undergraduate, MBA and related professional courses. Plentiful worked examples and exercises with solutions make the book a practical self-study aid for those wishing to revise before starting their course.

An iterative-style approach to constructing intelligent tutoring systems in mathematics

Mathematics is highly structured and also underpins most of science and engineering. For this reason, it has proved a very suitable domain for Intelligent Tutoring System (ITS) research, with the result that probably more tutoring systems have been constructed for the domain than any other. However, the literature reveals that there still exists no consensus on a credible approach or approaches for the design of such systems, despite numerous documented efforts. Current approaches to the construction of ITSs leave much to be desired. Consequently, existing ITSs in the domain suffer from a considerable number of shortcomings which render them 'unintelligent'. The thesis examines some of the reasons why this is the case. Following a critical review of existing ITSs in the domain, and some pilot studies, an alternative approach to their construction is proposed (the 'iterative-style' approach); this supports an iterative style, and also improves on at least some of the shortcomings of existing approaches. The thesis also presents an ITS for fractions which has been developed using this approach, and which has been evaluated in various ways. It has, demonstrably, improved on many of the limitations of existing ITSs; furthermore, it has been shown to be largely 'intelligent', at least more so than current tutors for the domain. Perhaps more significantly, the tutor has also been evaluated against real students with, so far, very encouraging results. The thesis thus concludes that the novel iterative-style approach is a more credible approach to the construction of ITSs in mathematics than existing techniques.

Review of progress in implementing the recommendations of Sir Gareth Roberts regarding employability and career development of PhD students and research staff:A report for Research Councils UK by an independent review panel October 2010

The need for improvement in the development of research careers and researchers’ training in transferable skills was highlighted in two particular recommendations (numbers 4.2 and 5.3) in the 2002 report ‘SET for success: the report of Sir Gareth Roberts’ Review - the supply of people with science, technology, engineering and mathematics skills’ (Roberts, 2002). As a consequence of that review, Research Councils UK (RCUK)1 have invested about £120 million, usually referred to as ’Roberts’ Money’, in research organisations to address this concern in all research disciplines. The last ‘Roberts’ Money’ payment will be for the period up to March 2011; it was therefore proposed to assess the progress made with taking forward these specific recommendations. An independent panel was formed by RCUK to undertake this review in 2010. The terms of reference for the panel are in Annex A. In summary, the panel was asked to review progress made and to advise RCUK and the higher education (HE) sector about future requirements for the development and training of researchers. In the course of their review, the panel considered a wide range of existing reports, interviewed key stakeholders in the HE sector and elsewhere, as well as drawing on their own knowledge and expertise. This report presents the findings of the panel’s review.