=Paper= {{Paper |id=Vol-1427/paper1 |storemode=property |title=Methodological Aspects of the Initial Training of Students for Participation in Programming Contests |pdfUrl=https://ceur-ws.org/Vol-1427/paper1.pdf |volume=Vol-1427 }} ==Methodological Aspects of the Initial Training of Students for Participation in Programming Contests== https://ceur-ws.org/Vol-1427/paper1.pdf
        Methodological Aspects of the Initial Training of Students for
                 Participation in Programming Contests

               Galina E. Atanasova                                                    Plamenka T. Hristova
     Dept. of Natural Sciences and Education                                 Dept. of Natural Sciences and Education
       Angel Kanchev University of Ruse                                        Angel Kanchev University of Ruse
              gea@ami.uni-ruse.bg                                                      ptx@ami.uni-ruse.bg


                                                                         competitive programming provides opportunities and
                                                                         time for participants to develop and achieve better
                                                                         results in the higher age groups.
                          Abstract
      Bulgaria is one of the few countries in the                           Unlike the teaching of mathematics, subjects that
      world where extracurricular activities and                         train students in programming are not included in basic
      competitions in Informatics start from early                       training courses in Bulgaria. This requires the training
      school age (prior to fifth grade – 11 years).                      to be delivered entirely in extracurricular forms. There
      The implementation of this activity is                             is no state-imposed curriculum, methodological
      associated with many challenges of                                 materials and textbooks.
      organizational and methodological nature.                             Largely, the ideas that underlie the training of
      Development of new approaches and their                            students with mathematical skills, are also applicable to
      approbation in real conditions contribute to                       the students that actively train for participation in
      increasing the effectiveness and quality of this                   competitions in informatics. Similarly, in the training
      kind of training. Sharing the collected                            in Informatics the idea of a pyramid organization of
      experience and methodological materials will                       work has forced its way through. This includes
      facilitate teachers in the development of                          selection and subsequent work with students of
      extracurricular activities in informatics. The                     different levels and with varying intensity, consistent
      present paper presents the authors’ experience                     with their individual circumstances and wishes. But at
      in extracurricular activities for young                            this moment, the pedagogical aspects of discovering,
      competitors training in informatics.                               training and developing of young talents in the field of
                                                                         informatics are still quite far. These aspects are in the
                                                                         initial stage of development and they need widening
 1. Introduction                                                         and deepening, taking into account the specifics of the
 The relevance and the importance of the problem for                     field.
 training and development of gifted children derives                        The process on finding, training and developing
 from the need of the modern globalized society of                       young talents in the field of informatics has its own
 creative thinking individuals with a comprehensive and                  specifics that must be considered. Lately, more and
 systematic understanding of the nature and relationship                 more researchers have been focusing on ways to
 between objects, events and people. The contemporary                    prepare talented students in schools in Informatics. In
 world with its rapid growth of information, constantly                  [Gar08] K. Garov reviews a study of informatics and
 changing technology and lifestyles requires the                         IT in Bulgarian school. He discusses the history of
 formation of individuals who can promptly and flexibly                  competitions and Olympiads in Informatics and he
 respond by changing their thinking, habits and                          offers a model for management of training of the
 behavior.                                                               participants in Olympiads in Informatics and IT and
    Informatics attracts students with its topicality and                system support tasks for the training of outstanding
 future professional orientation prospects. The training                 students to participate in Olympiads in Informatics. In
 and participation in competitions are one way to meet                   [Yov09] B. Yovcheva offers a spiral approach in which
 the interest in it.                                                     to perform the training of 10 and 11 years old pupils in
    In recent years, there is a tendency to lower the age                Informatics.
 of the competitors in Informatics. Early training in                       According to Nicklaus Wirth "the programming is
                                                                         constructive art" [Wir75]. This assertion raises the
Copyright © 2015 for the individual papers by the papers' authors.       question: What methods and approaches should be
Copying permitted only for private and academic purposes.                used to prepare the children to explore this constructive
In: A. Bădică, M. Colhon (eds.): Proceedings of the 2015 Balkan          creative activity? One possible approach is via
Conference on Informatics: Advances in ICT                               exploring specific examples to summarize the basic

                                                                     1
elements for programs construction and then put them                 •    High level of generalization and abstract
in a systematic way. This consequently allows students                    reasoning;
to apply the principle of reuse. Actual programming                   • Ability to formulate unusual ideas and new
should cover systems of complex requirements, which                       ways of solution.
conclude a high level of intellectual activity. For this            These individual characteristics influence the pace
reason, the idea of "pure training recipe" is probably           of preparation of young children. There are children
wrong. The choice of teaching methods must be                    who need more time to feel confident in themselves
supported by careful selection and presentation of the           and who overcome slowly the psychological barriers
key examples. Of course, we should not think that                created by participation in competitions. Students who
anyone can derive equal benefit from the study of these          are not prepared well enough (theoretically, practically
examples. Typical of this approach is that many rely on          or psychologically) should not participate in the
the learner, his diligence and intuition. This is                competitions. This can lead to refusal of engagement
especially true for relatively more complex and longer           with informatics, and even to a mental breakdown.
sample programs. They are "normal" case in practice              However, we should not go to the other extreme and
and they are much more suitable for demonstrating                believe that the child is not prepared well enough for a
subtle but important elements called organization and            long period of time and not allow him/her to participate
style of programming.                                            in competitions. The effect can be the same.
                                                                    So the question arises: "When is a child ready to
2. Extracurricular activities in informatics                     take part in his/her first competition in informatics?"
                                                                 The answer to this question should be given by the
Extracurricular activities in informatics have the               head of the group in which he/she is prepared, taking
following main objectives [3]:                                   into account the following factors:
     • Preparation        of    elite   competitors     in            • Theoretical training;
          Informatics;                                                • Practical training;
     • Anticipatory learning and programming skills                   • Desire for expression;
          for students in primary grades;                             • Emotional stability.
     • Development of the intellectual potential of
          the nation by creating conditions for the              3. Principles for a methodology choice
          development of gifted children from the
          earliest possible age through sets of computer         The chosen methodology defines the role of training
          science (intellectual skills such as analysis,         activities and both sides in the training process
          synthesis,         induction,         deduction,       interactions. It determines the tasks and activities
          generalization, critical thinking, discipline of       sequence. The problem with this choice is extremely
          thought and others);                                   complex because of the need for teaching-learning
     • Extra training in programming of a larger                 unity reflection. To enable the chosen methodology to
          number of students;                                    lead to effective learning process, the following steps
     • Personal qualities development (discipline,               are recommended:
          orderliness, consistency, teamwork, etc.);                  • The specific tasks selection to be consistent with
     • Constructive thinking adoption;                           the adequate level of hardships;
     • Basic school course knowledge of informatics                   • To identify dependent and independent sequence
          expansion;                                             of activities that lead to achieving the objectives. The
     • Students’ additional computer literacy.                   dependent one stems from the logic of educational
   The following general characteristics of intellectual         content and the independent does not affect the
brilliance and individual differences between the                achievement of the objectives (when the time of the
children must also be taken into account in teaching             contest is irrelevant, since the student is prepared to
Informatics:                                                     take part in it);
     • Increased cognitive demand that occurs in a                    • The successful construction of the relationship
          wide curiosity and exploratory behavior;
                                                                 between dependent and independent consecutive
     • Increased demand for mental workload;
                                                                 activities leads to systematization and simplifies the
     • Perseverance to achieve self-set goal;
                                                                 achievement of training objectives.




                                                             2
   The foundation of a successful methodology for                The used language for the practical training is C++. Its usage
training in programming contests stands on a detailed            is required by the regulations of the International Olympiad
analysis of tasks and their types, targets for a given           in Informatics respectively of the National Olympiad in
competitor, his cognitive level and pace of                      Informatics.
development.
   Analysis of the above issues in the ongoing training          4. Proposed      methodology                                                 for
of young competitors in programming contests gives               programming contests training
grounds to look for approaches and methodologies of
training, fully tailored to the specific needs of such           As already was highlighted, and according to one of the
kind of competitors. The age of the participants in these        founders of modern scientific research Donald Knuth
contests and modern competition reality justify the              [Knu73] programming is an art, so the pure stereotype
usage of an active approach to the selection of a                of training will develop giftedness of students. Classes
methodology for training in programming contests.                should be directed to the development of giftedness in
Underlying this approach is the idea that human                  children. Specific logical thinking and unconventional
activity is formed under the influence of its needs, the         solutions should be promoted and children, who
benefits of which are reflected in the objectives of the         display them, should be encouraged to develop them.
actions. Particular attention is paid to the grounds as an       In the process of development of extracurricular
important structural component of the cognitive                  activities in informatics in Bulgaria there were formed
activity of the student. The motivation for actions              five age groups: 4-5 grades, 6-7 grades, 8th grade,
proposes and forms a major instigator for its                    grades 9-10 and grades 11-12 (hereinafter, respectively
implementation. In competitors’ training it can be               group E, D, C, B, A).
argued that the conditions for creation of a clear motive           According to the adopted structure of curricula, the
for learning will be reflected in precise objectives and         basics of algorithms are studied in the early age groups
will provide better results and consequently quality of          (E and D), which include students up to 13 years. For
training.                                                        these age groups the school curriculum does not offer
   The advantages of this active approach to the choice          utilization of such knowledge. Therefore, small pupils
of methodology for the competitors training for                  should learn faster knowledge and skills brand new to
programming contests is reflected in the combination             them by attending extracurricular forms in Informatics.
of the characteristics of object-studied area and age of         The basic algorithms are presented on the basis of
the children. Clarifying the need for training is an             knowledge in mathematics acquired by students in
important prerequisite for successful performance and            school.
future good ranking. It serves as an inducement for the             Our long experience has shown that what is difficult
activity of learning in the process of training.                 to achieve when working with children at an early age
   The implementation of such an active approach has             is the habit to combine computer skills with their
led to the following methodology for the young                   knowledge of mathematics and formal rules of
competitors’ training for participation in the                   programming languages.
programming contests:
     • Cognitive tasks consideration as a separate
          unit, regardless of syntactic specifics of a
          programming language;
     • Using modern approaches and techniques for
                                                                                                                    A competitor’s training




          awareness, understanding and learning of the
          basic tasks set;
     • Consolidating the knowledge capable of
          analyzing individual gaps of each competitor;
     • The knowledge and skills application by
          solving other similar tasks;
     • Non-standard problems solving which consist
          an element of creativity;
     • Analysis and assessment of the acquired skills
          to solve contest tasks.




                                                             3
       Figure 1. The training steps ascending order.                 •    making evaluation of the possibilities of
                                                                          reducing some fragments from the base
    Preparation of students includes acquiring                            algorithm to the already known elementary
knowledge and skills of various nature: pure                              algorithms      (familiarization     with     the
programming, mathematical, technical, and logical one.                    modularity and object orientation);
Insufficient acquisition of some types of knowledge                   • defining the complete results and how they
leads to later failures and disappointments. The                          have to be output.
complex nature of the preparation may initially distress            They should learn basic algorithmic structures –
and frighten young students, so new knowledge must               sequence, if, switch, while, do-while cycles. They have
be taught gradually and practiced over a long period of          to get acquainted with the concepts such as variable,
time [Hri10, Hri11-1]. The training steps are shown on           array, data type, and the following commonly used
figure 1 in the ascending order.                                 basic algorithms:
    The first step for beginners, starting to learn                   • Two variables values exchange;
informatics, is acquiring excellent computer literacy.                • Working with the coordinates of the point in
    Through gaming tasks, students must adhere to work                    the plane;
with the PC and learn the basic commands of the                       • Finding the maximum of two/three variables;
operating system. The period up to 12 years is the time               • Calculating the sum or average value of the
to provide functional literacy to children. Computer                      numbers as array elements;
literacy acquisition is essential and it is a prerequisite            • Finding the product of array elements;
for their motivation for acquiring the necessary                      • Finding the number of array elements
knowledge and skills. The most important practical                        corresponding to a given condition;
skills that pupils need to learn are:                                 • Finding the value and/or the index of the
     • Working with the mouse;                                            maximum / minimum element in the array;
     • Knowledge about the location of the letters,                   • Sorting out the array elements;
          numbers and special characters on the                       • Searching in the sorted array;
          keyboard. Excellent knowledge and use of the                • Creating a new array with elements of an
          keyboard (including the transition from one                     existing array, satisfying a given condition.
          alphabet to another) is mandatory;                        The study of basic numerical algorithms in the early
     • Readiness to start a program in the Windows               stages of training contributes to better and more
          environment;                                           durable understanding of the difference between
     • Storing files to removable media (external                solving a task by hand and using the computer.
          disk, flash memory, etc.) and manipulation                The optimization of the range of tasks that young
          with files from any medium;                            students deal with in the course of their training is one
     • Redirecting input from the standard input                 of the most important elements of their overall learning
          device to a file;                                      process. The choice of objectives and the coherence of
     • Creating own folders on specified device.                 their study largely determine the level and results that
    The second but not less important step should be             can be achieved in the competitions for age group E.
training algorithms. Learners must learn to create               The system of tasks and basic numerical algorithms are
algorithms for solving a problem.                                constantly updated, following the trends outlined in the
    The experience gained shows that knowledge of                tasks given at competition for this group. This
algorithm development, which should be mastered first,           feedback, from the competitions to the training,
is easier to perceive and learn quickly when children            contributes to the maintenance of the set of basic
are taught by flowchart specifications and step by step          numerical algorithms up to date.
animation. This is the way they understand better the               The third step - new knowledge should be served in
nature of the algorithm concept and its properties.              small portions, backed by appropriate examples. In this
    The pupils have to be able to do task condition              age group, a lot of attention should be paid to analysis
analysis which includes:                                         of the condition of the task. It is important for children
     • defining the input data;                                  to understand that behind the many words, in the
     • subdividing the main task into groups with                condition of each programming task lies a logical
          elementary operations that lead to the                 model which they have to reach as they answer the
          solution;                                              following questions:




                                                             4
     a) "What is given in the task?"                            students to attend an extracurricular mathematics class
     b) "What are you looking for in the task?"                 in which to study mathematics preemptively.
     c) "How should you get from the given data to the             Some of the most common difficulties in the
wanted result?"                                                 extracurricular activities in informatics are associated
   Reaching the answers to these questions, the young           with their different aims in comparison to the aims in
learners realize that what is given in the condition of         the mass oriented school. It is important for the pupils
the problem is their input data for the algorithm. What         from the beginning of their education to understand the
is searched in the task description is the information          substantial role that the algorithms perform in solving
that has to be displayed, and the answer to the third           tasks by means of a computer and that the exercises in
question gives the sequence of actions that leads from          the basic algorithms would have helped them in their
the given to what is sought.                                    future training.
   The fourth step in the training of informatics in this          Another difficulty spotted by us is the inability of
age group is to teach the basics of a programming               many students to decompose a question properly and
language and the principles of programming.                     put it for algorithm development. This difficulty can be
   At present, the training is carried out based on the         overcome by using the mechanism of the “dry run” and
C++ language. The students have to learn the syntax             needs a lot of practice work.
and semantics of this language. They must know very                An important moment in teaching compiling
well the programming environment and the successive             algorithms is that children should be left alone to draw
steps to prepare a working program. The choice of               algorithms of the tasks, programmed by them because
programming environment is determined by the current            when participating in contests the children are alone in
environment provided by the competitive system that is          front of the computer, only with the description of the
used in the conduct of competitions in all age groups.          problem. Sometimes it is enough to tell the student
   Teaching the language should start in parallel with          how to use basic algorithms or how to use already
the training algorithms. This helps studied algorithms          known tasks for developing the new task.
to be programmed and immediately tested on a                       During the training in developing algorithms, the
computer. In this way is achieved:                              teacher must pay special attention to the most
     • Reinforcement of the knowledge and skills                frequently made mistakes by the students. Based on our
already acquired;                                               longstanding observations during the work with gifted
     • Better understanding of the role of algorithms           children from the schools of informatics, the most
in solving problems in Informatics;                             frequently made mistakes can be grouped in the
     • Maintaining the interest of young children in            following way:
programming activities.                                         1. Mistakes, related to the properties of the algorithms
   The students in age group E have to master:                      In the most general case, the algorithms must have
     • environment for the programming language;                the four basic properties: synonymy, determination,
     • standard data types;                                     terminality and effectiveness. The main difficulties in
     • basic arithmetic and logical operations;                 creating algorithms and making mistakes are connected
     • assignment Operators, if, switch and loops;              first of all with non-compliance with some of these
     • redirection to the standard input and output;            properties:
     • the use of one-dimensional array;                              • Improperly determining the sequence of the
     • word processing.                                         steps that must be implemented.
   An important component in the small competitors                    • For example, when calculating a sum in a
training is filling in the gaps in their mathematical           cycle, zeroing of the variable in which we calculate the
knowledge. Very often for the solving of problems in            sum to be located in the body of the cycle.
Informatics it is necessary to use knowledge that is                  • Improperly determining the type of tasks to
studied later in the school mathematics course. This            which the algorithm can be applied.
requires the teacher of the extracurricular classes in              For example, the input data may not be entered by a
informatics to familiarize the young students with this         reading block, but may be assigned to variables within
knowledge so that they are able to comprehend and               the algorithm itself. In this manner, the algorithm
apply it in their programs. In some extracurricular             always depends on the same data.
forms in informatics there is a practice the fifth grade              • Unfinished work of the algorithm within the
                                                                allotted time




                                                            5
   For example, the execution reaches an unexpected                      • Review and analysis of the proposed solutions
exit because of a wrong condition to end the cycle, or              and their quality evaluation;
completion of the algorithm without a written output.                    • Offering a recommended solution if the
2. Mistakes, associated with an cycle improperly organized          proposed solutions are not the best quality;
    • Loops.                                                             • Analysis of the solution proposed by the
    • Wrong number of cycle repeats.                                author;
    • Changing the parameter’s value inside the                          • Discussion with emphasis on the key points of
cycle with the parameter’s body.                                    the basic algorithm usage.
3. Mistakes, associated with improperly initialized variables
    • Non-compliance with the rule for zero adder
and counter before a cycle and cleaning with a one
when multiplication has been accumulated in a cycle.
    • Using a variable before initialization with
some value.
4. Errors, associated with incorrect determination of the
area of admittable values
     • By interval – inside boundaries and outside
the interval.
     • By a set of values – verification for belonging
to the set.
5. Other mistakes
     • Division by zero.
     • Wrong indexation when trying to create a new
subarray from the existing array, fulfilling given
conditions.
     • Necessity of using unknown mathematical
mechanisms like rooting, exponentiation, coordinates                     Figure 2. The proposed methodology sequence
to points, etc.
   It is important that students learn more about the so-              The student has to learn the peculiarities of the
called      “protective     programming”        on    the           program text entered via the keyboard. He/she has to be
algorithmization level. The algorithm should also                   familiar with the programming environment to check
process the cases – “This is impossible to happen”. For             how the program works. Reaching the ultimate goal -
example, to check whether the divisor is different from             running program, requires him/her to know the stages
zero before division; to check whether an index of an               through which the programming environment works.
array exceeds the limits of the array, etc. This approach           During the preparatory phase (compilation), the extent
is called inclusion of assertion in programming. The                to which the student has mastered the strict rules of the
assertions, included in the programming code, bring it              particular programming language is shown. For the
to behave in foreseeable manner and help to detect the              next stage (linking), when the program code is
nature and the reason of the problems.                              associated with the code of other programs taken by the
   The essence of the proposed method is shown in the               libraries included, the student needs to know about
figure 2. It consists of learning the basic algorithms in           these libraries - what they include and how to use them.
the following sequence [Hri11-2]:                                   The last stage (creation and testing of the executable
     • Introductory task, illustrating the basic                    program code for semantic (logical) errors, he/she must
algorithm;                                                          know that it is necessary to implement the program
     • Series of complex tasks in which the                         repeatedly, with various well-selected test examples to
underlying algorithm is an integral part;                           verify the overall performance of the program.
                                                                       The proposed methodology includes elements that
     • The acquired knowledge approbation through
                                                                    develop the following:
work on a task which uses the same basic algorithm
                                                                         • Students’ independent thinking;
and was given in competitions;
                                                                         • Reaching a higher level and more complex




                                                                6
structure in the development of capabilities;                   long). There is not enough time to consolidate
     • Striving for innovation and originality in               knowledge and build lasting skills. The emphasis is on
problems solving;                                               creating interest in students, which should grow into
     • Striving for expression.                                 motivation for more serious activities in the field of
    The tasks set optimization that the gifted students         computer work and extracurricular activities in this
deal with in the course of their training, is one of the         area. The majority of the children, who participated
most important elements of the learning process. The            once in the classroom, continue their activities in this
choice of the tasks set largely determines the level that       direction in extracurricular classes in informatics.
the student could reach at the end of his/her training.
That is a prerequisite for the system of tasks                  5. The results
development for initial training in competitive
programming [Hri07].                                            The important criteria for evaluation of the proposed
    The sample methodological system comprises 7                approach for informatics training for beginners is
subsystems of tasks including the concepts of                   student performance in the following national
algorithm, programming language C++, standard input             competitions in Informatics: Winter Competition in
and output operations, linear programs, programs with           Informatics (WCI), National Olympiad in Informatics
if, programs with cycles, programs with one-                    Final Round (NOI3), Spring tournament in Informatics
dimensional arrays, processing of string information.           (STI) and Autumn tournament in Informatics „John
These provide the theoretical and practical knowledge           Atanasov” (ATI)2.
and skills necessary for the purposes of training [2].             Table 1 presents the results of Ruse students in
    Each subsystem is built on the following five basic         chronological order.
elements:
                                                                        Table 1. The results for the smallest group E
     1) Main objective;
     2) Knowledge and skills;                                                                      Total     Number of
                                                                                                                          Number
     3) Practical work;                                                    Year   Competition    number of participants
                                                                                                participants from Ruse
                                                                                                                          of prizes
     4) Sequence of tasks;                                                        WCI                13          2           2
                                                                           2007   STI                25          4           2
     5) Methodological features using tasks.                                      ATI                24          2           0
    The methodology suggested and the basic system of                             WCI                17          1           0
                                                                           2008   STI                20          1           1
tasks developed have been successfully applied in the                             ATI                13          2           0
classroom “Initial programming" via "Bistra & Galina"                             WCI                18          1           0
                                                                           2009   STI                21          2           0
Foundation1. The main goal of the training in this                                ATI                31          2           1
classroom is to introduce the children aged between 9                             WCI                22          1           1
                                                                           2010   STI                20          2           2
and 13 years to the creation of algorithms and writing                            ATI                31          3           0
simple programs. Via these activities they reveal the                             WCI                17          1           1
                                                                                  NOI3                8          1           1
beauty of informatics and they are motivated to involve                    2011
                                                                                  STI                21          3           0
in extracurricular forms in Informatics, which are run                            ATI                26          2           2
                                                                                  WCI                18          2           2
at the Center for students’ technical and scientific work                  2012
                                                                                  NOI3               12          1           0
in Ruse.                                                                          STI                25          2           1
                                                                                  ATI                16          2           1
    Similar objectives and the methodological materials                           WCI                16          2           1
availability provoked us to use the same set of tasks in                   2013
                                                                                  NOI3
                                                                                  STI
                                                                                                     19
                                                                                                     35
                                                                                                                 1
                                                                                                                 2
                                                                                                                             0
                                                                                                                             0
the work in the classroom. This necessitated scaling,                             ATI                43          2           1
simplifying and reducing the number of tasks in order                             WCI
                                                                                  NOI3
                                                                                                     34
                                                                                                     20
                                                                                                                 2
                                                                                                                 1
                                                                                                                             2
                                                                                                                             0
                                                                           2014
to place them in the classes and achieve the goal of                              STI                29          2           0
                                                                                                     32          2           1
education - generating interest and motivation for                                ATI

continuing education.                                              Figure 3 shows a graph of the students attracted to
    A specific feature of this training is two times            the Center for students work in Ruse (CUTNT)3 by the
shorter academic hours, but the intensity of the                proposed methodology, prizes from competitions
employment is much higher (4 hours per day, 8 days
                                                                2
                                                                    http://www.math.bas.bg/infos
1                                                               3
    http://www.bgfound.org/ bg                                      http://cutnt-ruse.com




                                                            7
summed up in years. The line of behavior shows a                students is directly aimed at rationalization of learning
trend of steady growth. Assuming that the number of             new material.
the prizes won at national level is a measure of the               2.    The suggested system of tasks is scalable and
quality of education and level of training of athletes at       applicable by other groups for basic training in
this basic level, it can be concluded that the proposed         informatics.
methodology combined with the correct selection of                 3.    A very important and integral part of this
tasks for training helps to increase quality                    methodology is a system of tasks that must constantly
continuously.                                                   be updated with new ones.

                                                                7. References
                                                                [Gar08] Garov, K. Theory and practice of preparation
                                                                        of prominent and talented students to
                                                                        participate in contests and competitions in
                                                                        informatics and information technology,
                                                                        Dissertation for awarding the educational and
                                                                        scientific degree "doctor",, Sofia, 2008. (in
                 Figure 3. Prizes by years                              Bulgarian)
   Figure 4 represents the quality of the training              [Hri11-1] Hristova P., G. Atanasova,
                                                                                          Atanasova Preparation of
proposed approach in its purest form, because of the                    heads of schools in Informatics,
                                                                                            Informatics National
highest possible competition during the national round                  Conference „Education
                                                                                      Education in Informational
of the NOI, objective selection of participants and the                 society”, Plovdiv, 2011,, p. 303-310,
                                                                                                     303      ISBN
fact that these races were held during the approbation                  1314 0752
of the overall methodology.
                                                                [Hri07] Hristova P., Training through tasks,
                                                                                                      tasks
                                                                        Proceedings of the University of Rousse
                                                                        “Angel Kanchev” Scientific Conference -
                                                                        2007, Volume 46, Book 6, Mathematics,
                                                                        Informatics, Physics,, Pedagogy and
                                                                        Psychology, p. 50-55,
                                                                                            55, ISSN 1311-3321
                                                                                                     1311
                                                                [Hri10] Hristova P.,, The Informatics Competitions for
                                                                        Group E During the School 2009-2010
                                                                                                      2009      Year,
                                                                        Proceedings of the Anniversary International
                                                                        Conference Celebrating Prof. Sava
                                                                                                        S    Grozdev’s
                                                                        60th anniversary,, Bachinovo, Bulgaria,
    Figure 4. Participation in the national round
                                            rounds of OI                September 10-12,12, 2010, p.409 – 417
                                                                [Hri11-2] Hristova, P., Best practices in training
6. Conclusions                                                          informatics competition participants,
The analysis of the results, which have been obtained                   Proceedings of the 7th Annual International
by application of the suggested methodology, shows                      Conference on Computer Science and
that:                                                                   Education in Computer Science 2011,2011
    1.    In the initial training program students                      Sofia/Dobriniste, Bulgaria, ISSN 1313-8624,
                                                                                                             1313
assimilate the
            he algorithmic thinking principles and basic                p. 371-384
algorithmic structures much better when they are                [Knu73] Knuth D., The art of computer programming,
illustrated with the tasks that process numerical
                                                                        Addison-Wesley
                                                                                 Wesley Publishing Company,
                                                                                                   Company
information. As a basis for teaching and learning the
                                                                        Ontario, 1973
new concepts of informatics are used tasks from
mathematics,s, in which there are no unknown                    [Wir75] Wirth N., Algorithms Plus Data Structures
mathematical concepts. Thus the attention of younger                    Equals Programs,, Prentice-Hall,
                                                                                          Prentice       1975




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[Yov09] Yovcheva, B. Spiral approach to teaching
        programming of 10-11 year-olds, Dissertation
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        degree "doctor", Shoumen, 2009. (in
        Bulgarian)




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