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E-learning in preparation of mathematics teachers and in mathematics teaching

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Exploitation of Internet in mathematical education mathematical portals, ... The course is built on basic principles of modern conception of education (e-learning) ... – PowerPoint PPT presentation

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Title: E-learning in preparation of mathematics teachers and in mathematics teaching


1
E-learning in preparation of mathematics teachers
and in mathematics teaching
  • Working meeting to project EuroMath
  • Innsbruck, 2004

2
Project E-learning in preparation of mathematics
teachers
  • The determining of mathematics teachers
    competence for use of ICT and working-out of
    system of information education of mathematics
    teachers
  • The projection and realization of courses with
    using of ICT and educational materials for
    preparation of future mathematics teachers and
    also as a part of further education of
    mathematics teachers
  • The exploitation of ICT for modernization of
    traditional methods and forms of mathematics
    teaching and learning

3
The information education of mathematics teachers
  • After determination of educational aims of
    information education we develop a educational
    content divided into two degrees.
  • General knowledge and skills comprise basic
    level, which is described in ECDL standards.
  • We divided superstructure part typical for
    information education of mathematics teachers
    into six basic sections.

4
Superstructure part 6 basic sections
  1. Production of mathematical documents and
    presentations technology of production of
    documents and presentations containing various
    kinds of objects enabling accurate processing of
    educational content and active elements to
    provide individual educational ways and feedback.
  2. Exploitation of Internet in mathematical
    education mathematical portals, searching and
    gaining information, teaching materials and
    educational programmes, electronic collection of
    tasks, dynamic WWW sites. Evaluation of
    possibilities of use of gained sources in
    educational process.
  3. Basics of algorithmization proposing and
    notation of algorithms, evaluating effectiveness
    of algorithms for solutions of problems in
    various fields of Mathematics. Writing and
    implementation of algorithms in languages Pascal
    and Logo.

5
Superstructure part 6 basic sections
  1. Mathematical calculations and modelling with
    spreadsheets use of numerical and graphical
    tools for quantitative processing and analysis of
    data in tables, realization of iterative
    calculations, implementation of mathematical
    algorithms into the tables.
  2. Dynamic geometrical systems construction and
    examination of dynamic geometrical constructions,
    measurements of figures and their use in
    calculations, graphical display of dependence
    between quantities, analytical expression of
    figures and its exploitation in tasks solutions.
  3. Mathematical software of CAS type (Computer
    Algebra System) carrying out numerical and
    symbolic calculations, graphical representation
    of data, production of interactive mathematical
    documents, searching for accurate ways of use of
    programmes of this kind in solving mathematical
    tasks.

6
The courses for information education
  • Described contents of information education have
    been implemented mainly in three one-term courses
    starting in the 2nd year
  • Introduction to ICT general part
  • ICT general part and the first 2 sections of
    superstructure part
  • ICT applications in teaching Mathematics the
    last 3 sections of superstructure part
  • Voluntary subject Basics of algorithmization

7
The development of information education
  • Considering quick development of ICT, it is very
    important to lead students towards self-study and
    active development of their knowledge in this
    field
  • It has been created an electronic educational
    course for teaching of the subject ICT
    applications in teaching Mathematics which covers
    numerical and graphical tools of program MS Excel
    for solution of mathematical tasks

8
The description of educational course
  • The course is built on basic principles of modern
    conception of education (e-learning)
  • Implementation of electronic teaching materials
    is based on linking www technologies with
    technologies united in MS Office package
  • To provide an interactive and motivating working
    environment there are www sites enriched with
    dynamic elements (two and more - phase pictures,
    active tables, active text fields with buttons
    for checking of their content)

9
Educational contents of course
  • The content of the course is divided into seven
    lectures. Each of the lectures consists of 2 to 4
    teaching units
  • Each teaching unit contains tasks, which are
    solved directly in environment of program MS
    Excel
  • Workbooks contain sheets for students work and
    sheets with example solution which is
    supplemented with additional information

10
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11
Educational program - ETECIS
  • We created at our department several educational
    applications for support of mathematics teaching
    at secondary at primary schools
  • Educational program ETECIS is focused on teaching
    of elementary theory of numbers. The program
    produces attractive and stimulating environment
    for computer assisted learning of Mathematics
  • Next picture shows motivational problem for topic
    Remainder from division and divisibility

12
The motivational problem
ftp//ftp.upjs.sk/pub/education/matematika
13
Computer assisted learning of Mathematics
  • These courses are parts of a multimedia CD aimed
    at integration of ICT into teaching of
    Mathematics that has been produced at our
    department for support of mathematics teaching at
    primary and secondary schools
  • Educational multimedia CD is provided for schools
    through project Infovek, which administrates
    integration of ICT into education in Slovakia.

14
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15
Computer assisted learning of Mathematics
  • Educational program and hypertext GRULP
  • Graphical solution of linear programming
    problems
  • Slovak version www.science.upjs.sk/diplom/grulp
  • English version www.mathe-online.at/materialien/D
    anka.Timkova
  • Other educational applications and study
    materials
  • ŠMIS (School Mathematics Information Service)
    kekule.science.upjs.sk

16
The electronic collection of mathematic problems
  • Is a part of School Mathematics Information
    Service
  • Allows to improve preparation of teachers to
    mathematics teaching
  • Is based on database system MySQL and its
    interface is implemented in JavaNet
  • Development and verification of electronic
    collection is realized at present by teachers of
    mathematics at two secondary schools.

17
The possibilities of collection
  • Selecting problems by specifying of
    classification criteria, printing a copy of
    selected problems (for every user)
  • Inserting new problems into the collection,
    changing the text of a problem, changing the
    classification of a problem, deleting a problem
    (for selected users)
  • Inserting, changing, deleting criteria for the
    classification of problems (for administrator)

18
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19
Another intentions and plans
  • To create interactive multimedia courses for
    teaching of Mathematics in the system ToolBook II
    Instructor
  • To specify the parts in didactical preparation of
    mathematics teachers - suitable for realization
    through e-learning
  • To compose selected sections as educational
    courses, which will be provided in LMS Moodle
  • To develop a system of further education of
    mathematics teachers focused on integration of
    ICT to mathematics teaching at primary and
    secondary schools by means of mathematical
    programmes (Cabri geometry, Derive, MS Excel)

20
Thank you for your attention
Stanislav Lukác, Danka Timková, Faculty of
Science of University P.J. Safarik Kosice Jesenná
5, 041 54 Košice, Slovakia slukac_at_kosice.upjs.sk,
timkova_at_science.upjs.sk
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