(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 714083, 15373]*) (*NotebookOutlinePosition[ 714869, 15400]*) (* CellTagsIndexPosition[ 714825, 15396]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ M@th Desktop and the LTM Project \ \>", "Title"], Cell["Phil Ramsden", "Author"], Cell["Imperial College London, UK, p.ramsden@imperial.ac.uk", \ "TextAboutAuthor"], Cell["Reinhard Simonovits", "Author"], Cell["\<\ Bundeshandelsakademie Grazbachgasse, Graz, Karl-Franzens \ University, Graz, Austria, Reinhard.Simonovits@uni-graz.at\ \>", \ "TextAboutAuthor"], Cell["Bernd Thaller", "Author"], Cell["\<\ Karl-Franzens University, Graz, Austria, \ Bernd.Thaller@uni-graz.at\ \>", "TextAboutAuthor"], Cell["\<\ Europe has a problem with high school mathematics. There has been \ an observable decline in mathematical attainment and in student enthusiasm, \ taking different forms in different countries. There is a clear need for \ exciting, pedagogically sound learning materials, and for associated \ didactical strategies and training for their teachers. \ \>", "Abstract"], Cell[TextData[{ "Three universities and high-schools from eight European countries have \ been collaborating to develop ", StyleBox["Mathematica", FontSlant->"Italic"], "-based courseware in the form of mathematical learning tools, together \ with didactical concepts for their use in the classroom and material for \ in-service training of teachers. These learning resources, whose target group \ is secondary high schools in Europe, will enable teachers to pursue a \ problem-based and group-oriented approach to teaching mathematics that \ emphasizes methods and concepts over computations. Problems and exercises are \ designed to encourage an experimental, explorative approach. " }], "Abstract"], Cell[TextData[{ "The learning resources consist of extensions to the M@th Desktop \ application already developed by Reinhard Simonovits. M@th Desktop (MD) is an \ interactive teaching and learning software package for mathematics classes. \ It contains a collection of ", StyleBox["Mathematica", FontSlant->"Italic"], " notebooks with associated palettes and is designed to be especially \ compatible with a blended learning strategy, in which computer-based \ activities are used to complement other traditional approaches, such as \ teacher-led work or paper-based exercises. MD also provides tools for \ teachers and students to create palettes, notebooks and tests for their own \ needs. " }], "Abstract"], Cell[CellGroupData[{ Cell["Background: the Mathematics Problem in Europe", "Section"], Cell["\<\ In several countries of Europe, evidence of a problem with High \ School mathematics seems to be mounting. The PISA study of 2003 showed \ clearly that students throughout Europe tend to find mathematics less \ enjoyable to study than other subjects, and that most of them feel that their \ understanding of the subject is partial and incomplete [1]. Discussions with \ colleagues suggest that there is anecdotal evidence that this problem may be \ increasing, and in some countries of Europe, this anecdotal evidence has been \ borne out by more rigorous analysis. For example, there have long been \ widespread reports, within the UK, of students' increasing diffculties with \ the transition between school and university; these were confirmed in a 2000 \ study commissioned by the UK Engineering Council [2], and these and other \ problems studied and reported on more recently by the government-commissioned \ Smith Inquiry (reported in [3]). Numbers of students opting to study the \ subject at Advanced Level in the UK have fallen year on year, despite a rise \ in numbers undertaking Advanced Level study overall. \ \>", "Text", CellChangeTimes :> {3352036360.71875}], Cell[TextData[{ "The use of high-quality courseware is widely seen (e.g. in [3]) as central \ to an effective response to these problems, and the authors are united in \ their view that ", StyleBox["Mathematica", FontSlant->"Italic"], " offers a unique environment in which such courseware may be rapidly \ developed and deployed (development of interactive content in ", StyleBox["Mathematica", FontSlant->"Italic"], " is, in our experience, orders of magnitude faster than in nearly all \ other code development environments, because so much mathematical and \ interactive functionality is already part of ", StyleBox["Mathematica", FontSlant->"Italic"], "). " }], "Text"], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], "'s penetration of the High School market in Europe remains patchy, \ however, and colleagues who teach in High Schools suggest that part of the \ reason is the need for students, and indeed teachers, to master an unfamiliar \ syntax ", StyleBox["before ", FontSlant->"Italic"], "courseware based on the standard ", StyleBox["Mathematica", FontSlant->"Italic"], " interface can be used. (In universities, where students are selected or \ self-selected and where ", StyleBox["Mathematica", FontSlant->"Italic"], " expertise is more commonplace among teaching staff, this problem is less \ acute.)" }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["M@th Desktop and MDTools", "Section"], Cell[TextData[{ "M@th Desktop", " and MDTools [4] are ", StyleBox["Mathematica", FontSlant->"Italic"], "-based courseware applications developed by Reinhard Simonovits at the \ Bundeshandelsakademie Grazbachgasse in Graz, Austria, and at Karl-Franzens \ University in the same city. Together, they consist of" }], "Text"], Cell["Menus and menu items", "BulletedList"], Cell["Palettes", "BulletedList"], Cell["Notebooks", "BulletedList"], Cell["Help System content", "BulletedList"], Cell["Library packages (that is, .m files)", "BulletedList"], Cell[TextData[{ "The difference between them is that whereas MDTools just has ", StyleBox["functionality", FontSlant->"Italic"], " (special commands, palettes and resources for authors), ", "M@th Desktop", " also has ", StyleBox["curriculum content ", FontSlant->"Italic"], "(lessons, worked examples, activities, assessment tasks and projects). \ They are set up to integrate with one another, and each is based on the same \ pedagogic approach (see \[OpenCurlyQuote]Blended Learning\[CloseCurlyQuote] \ below)." }], "Text"], Cell[TextData[{ "Installation is straightforward, and is implemented within ", StyleBox["Mathematica", FontSlant->"Italic"], ". Students access ", "M@th Desktop", " and MDTools via the standard ", StyleBox["Mathematica", FontSlant->"Italic"], " Front End interface, to which just a few changes have been made (for \ example, additional palettes, menus and menu items, and some changes to \ global settings such as default animation speed). However, the differences \ are important, because together with the library functions and the Help \ System content, they add up to an interface involving a substantially less \ steep learning curve for teachers and learners alike. " }], "Text"], Cell[TextData[{ "Here is a sample student trajectory through M@th Desktop. When the \ student launches ", StyleBox["Mathematica", FontSlant->"Italic"], " (Versions 4.0 - 5.2 are supported) what she sees is much the same as the \ usual ", StyleBox["Mathematica", FontSlant->"Italic"], " interface, except that a number of new drop-down menus have been \ provided." }], "Text", CellChangeTimes :> {3352036653.01563}], Cell[GraphicsData["Bitmap", "\<\ eJzsvQV4XOe19/s/e89IhjTFe86593xfEzOzHdtisMAioySzLWZmliw2MzMz YxLHiR07tuNwGmjDpbRN06TBpk3PXWu9e+8ZKZIhdZr0HPt51jsze0YjWdqz /7+Fb3hMfnJCRkx+SlzM/UG5MdnJKXF59wdm5dIh/d8A7Vng307dD77/34C5 aJi375ewYz6tfG/e3nfQTNa09y1otL6poXnPm9DRtOcNNO1me52foPV+NO58 DQ27fiHWyLb7VTTvegXzdr2Epp0vomnbM6jf8jRqN13D3PWXUbX2AspXPoKy pQ+hZPEplCw8iqJ5B1HYsBd5dTuRM3czsqrWIr1iNVJLVyC5aCkS8xchNqcZ MZn1mJNei9mpNZiZUoWZqdU2uaNjRnIl3avErNQq+tF49VOP+WV0OyOpElMT yhAVW4JJc4oxfmYBwqfnIWRKJgImp8FvQiq8w1PhEZqEkcEJGBoQh4F+Mejn PRu93Gej26hZ6DJyJu4bMRM/fWA27hs5B11Hx6OHZzJ6+6Sj75gcDBxbiOER ZXCLnAuf6Y0ImDkf4fHLEJmxDjMLtiOx8gAyG4+jcNFDqFx1AY30K1m06zks 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