branched out networks in their own The fact that Serbian primary edu- right. Map 14 shows the locations of cation has remained gender neutral high schools, while Map 15 gives the through the decade of permanent locations of the country’s vocational crisis is an important testament to education schools. the resiliency of the primary educa- tion system. Gender balance School equipment We end our very brief excursion away from the network of primary Let us finally focus on a set of indica- schools. In returning we wish to tors having to do with school equip- focus on an important parameter ment (libraries, computers, internet related to educational equity. In the connections). These parameters are country as a whole girls are only more closely related to the level of slightly under represented. In the overall economic development of 2001/2002 school year girls made the country over a period of several up 48.66% of the total primary decades. school population. The parameter that is, perhaps, the Map 16 gives the percent of girls in least related to the current eco- ’s primary schools as an aver- nomic level is the number of books age by . From the map in school libraries. The economic we see that the country’s primary situation during the nineties was education system is to a good ap- such that very few new books found proximation gender neutral, and their way into school libraries, there- that this property is to a high de- fore, what we now see are the same gree valid throughout the country. books that were there in the eight- Gender neutrality may probably ies. All told, Serbia’s primary and be thought of as the second most secondary schools have around 15 important achievement of the post million books, or around 13 books World War II period (1945-1990), per student. However, the situation i.e. the period of communist rule in is much worse than it seems at first Serbia (the first and related achieve- hand. Most of these books are rather ment being the high rate of envelop- old and worn. A large percentage of ment of the population in eight year school books are out of date text- primary education). books, or the romanticized biogra-

90 optimization of the network of schools in serbia optimization of the network of schools in serbia 91 40 − 45

45 − 48 Novi Knezevac Kanjiza

Senta Coka 48 − 50 Backa Ada 50 − 52 Mali Idos Kula BecejNovi Becej Odzaci Vrbas Zitiste 52 − 55 Bac Zabalj Backa Palanka Secanj Backi PetrovacCity of Plandiste BeocinSremski Karlovci Kovacica Irig Indija Vrsac Sid Palilula Bela Crkva Bogatic Pancevo PecinciZemunNovi Beograd

Sabac CukaricaRakovica Veliko Gradiste Vladimirevci Pozarevac Sopot Malo Crnice Ub Kucevo Zabari Osecina Arandelovac Velika PlanaPetrovac Topola Raca Zagubica Batocina Bor Kosjeric Gornji MilanovacCity of JagodinaCuprija Bajina Basta Zajecar Pozega Knic Uzice Cacak Paracin Lucani Cajetina Razanj Cicevac Trstenik Vrnjacka Krusevac Knjazevac Nova Varos Prjepolje City of Nis Raska Merosina Gadzin Han Zitorada Kursumlija VlasotinceBabusnica Dimitrovgrad Tutin Medveda Vladicin Han

Vranje (2)Trgoviste Presevo (2)

Map 16: Percent of girls in Serbia’s primary schools averaged by municipality (2001/2002 school year).

90 optimization of the network of schools in serbia optimization of the network of schools in serbia 91 phies of heros of the communist pe- to stockpile the books themselves. riod. Perhaps the most useful are the There are exceptions, however, and works of literature which were at one some may be found in quite out of time or another obligatory reading in the way places. schools. Currently, school libraries are most lacking in new textbooks, However inadequately supplied the work guides and related material, as school libraries may be, in many well as foreign language books. In rural areas they represent the only addition, practically all schools are nearby library. Viewed in this way, without periodicals of any kind. Even school libraries are an important the books that do exist are often not community resource that is, for the located in adequate school libraries. most part, not available to the com- Far from having space for access to munity. This is an added illustration book catalogues, or the Internet, of how the schools have been di- or just for reading the books, most vorced from their local communities. schools lack even the space in which Looked at from another point, this

Photograph:

Bottom left: The satellite school in the small village of in the municipality of Sjenica has 39 students and 200 books. The books are located in two small cupboards, all are old and in poor condition.

Bottom right: The small central school “Žarko Zrenjanin“ in the village of in the Kovin municipality has 228 students and 2,680 books. The primary teaching language in the school is Hungarian. The schools has a very nice, easily accessible library.

Both of these schools are located in the category of with the lowest number of books per student (see Map 17), which is surprising since Kovin is economically much more developed than Sjenica. However, the school in Skorenovac is in a much better situation than the one in Trijebine. Their books are newer, the selection is much better and there is much more space for the books.

92 optimization of the network of schools in serbia optimization of the network of schools in serbia 93 1 − 10

10 − 20 Novi Knezevac Subotica Kanjiza

Senta Coka 20 − 30 Sombor Backa Topola Ada Kikinda 30 − 40 Mali Idos Nova Crnja Apatin Kula BecejNovi Becej Srbobran Odzaci Vrbas Zitiste 40 − 100 Temerin Bac Zabalj Backa Palanka Zrenjanin Secanj Backi PetrovacCity of Novi Sad Titel Plandiste BeocinSremski Karlovci Kovacica Irig Indija Alibunar Vrsac Sid Opovo Sremska Mitrovica Stara Pazova Palilula Ruma Bela Crkva Bogatic Pancevo PecinciZemunNovi Beograd Kovin

Sabac CukaricaRakovica Veliko Gradiste Vladimirevci Pozarevac Obrenovac Grocka Golubac Loznica Barajevo Smederevo Koceljeva Sopot Malo Crnice Ub Kucevo Krupanj Mladenovac Lazarevac Zabari Majdanpek Mali Zvornik Osecina Lajkovac Arandelovac Velika PlanaPetrovac Valjevo Negotin Topola Ljubovija Ljig Mionica Raca Svilajnac Zagubica Batocina Bor Despotovac Kosjeric Gornji MilanovacCity of Kragujevac JagodinaCuprija Bajina Basta Zajecar Pozega Knic Uzice Cacak Paracin Rekovac Boljevac Lucani Varvarin Cajetina Razanj Arilje Cicevac Sokobanja Kraljevo Trstenik Vrnjacka Banja Priboj Krusevac Aleksinac Knjazevac Nova Varos Ivanjica Aleksandrovac Svrljig Prjepolje City of Nis Raska Brus Blace Merosina Bela Palanka Sjenica Prokuplje Gadzin Han Pirot Novi Pazar Zitorada Kursumlija Bojnik VlasotinceBabusnica Dimitrovgrad Tutin Leskovac Lebane Crna Trava Medveda Vladicin Han Surdulica

Vranje

Trgoviste Presevo (2)

Map 17: Number of books in the school library per student averaged over a given municipality (2001/2002 school year).

92 optimization of the network of schools in serbia optimization of the network of schools in serbia 93 Figures 25 and 26:

400

350 The top left figure shows the histogram of the number of books per student in 300 central school libraries. The distribution 250 is peaked at 17 books per student, while 200 the average number of books per student 150 is 20.4. The average number of books in 100 these libraries is 8,245.

Frequency of central schools 50

0 The figure on the left looks at how the -50 number of books per student in these 0 20 40 60 80 100 schools depends on the total student Books per student enrollment. The dependency is quite noisy, however, one does see that in general smaller central schools are favoured with respect to this parameter. 100

The red line on this log-log plot shows the effective dependence to be a power law: the number of books per student is 10 inversely proportional to the square root (central schools)

Books per student of the total number of students.

Though simple, this strange result is

1 certainly not the consequence of any 100 1000 educational standard. Total student enrollment

can be seen as an ideal opportunity standards is in equipment for ICT. to both upgrade the state of school The decade of crisis that the country libraries as well as to do an impor- went through overlaps with a period tant service to the local communities of dramatic technological growth, these schools belong to. particularly in computer and com- munication technology. In Europe The total number of books is not and the world, these technologies what is most important. One must have quickly found their way into also look at how these books are schools, where they are currently distributed throughout the network. fueling a new revolution in the Map 17 gives the municipal averages way that knowledge is presented, of the number of books in school li- searched for, correlated and used. braries per student. The new information technologies will ultimately help change not only One of the places where Serbia’s the way teaching/learning is done schools fall way bellow European and the way data is stored and

94 optimization of the network of schools in serbia optimization of the network of schools in serbia 95 Figures 27 and 28: 400

The top right figure shows the histogram 350

of the number of books per student in 300 school libraries for satellite schools. The 250 distribution fits an exponential decay law, e.g. there are very few satellite schools 200 with a relatively large number of books. 150

On the average satellite school libraries 100 have 909 books. The average number Frequency of satellite schools 50 of books per student is 24.9, a bit more 0 than in central schools. 0 20 40 60 80 100 Books per student The above histogram is a nice statistical law, but what determines the number of books in a given satellite school? The first thing one thinks of doing is to look 100 at how the number of books per student depends on total enrollment, e.g. are small or large satellite schools favored with respect to this parameter. 10

The result is shown figure on the right. (satellite schools) Books per student There is in fact no correlation between the two parameters. This just shows that there do not exist any school standards 1 1 10 100 1000 related to the number of books. Total student enrollment

shared, but it will also change the in the future job market, but also way schools are organized. makes learning more fun than it has Throughout the world schools, edu- ever been. For this reason schools cation experts and education admin- the world over keep spending more istrators are trying their best to keep and more money on computers and up with the fast pace of the Internet related equipment and software, as revolution. well as on wide band connections to the Internet. Serbia needs to do a lot Many things are already becoming of catching up. Catching up to Eu- a reality, such as education at a rope won’t be easy, but the country distance. Other things are still only has several important things going fuzzy outlines in the heads of vision- for it. First of all, ICT infrastructure aries. One thing, however, is cer- is cheap when compared with any tain: early exposure by children to other infrastructure. Second, the computers and the Internet not only country has a very large number offers them a better starting position of quality experts in the field. -Al

94 optimization of the network of schools in serbia optimization of the network of schools in serbia 95 1 Subotica Kanjiza 2

Senta Stara Moravica Kikinda 3 − 4 Backi MonostorSombor Conoplja Mali Idos 5 − 6 Becej Basaid Srbobran Odzaci 23 PivniceKulpin Zabalj Secanj Backi Petrovac Neuzina Backa PalankaFutog Novi Sad Sid Centa Vrsac Ruma Sremska Mitrovica Stara Pazova Pancevo Bela Crkva Nikinci Beograd Sabac Jakovo Kovin Smederevo Loznica

Majdanpek Lajkovac Valjevo Arandelovac Velika MionicaLjig Svilajnac Negotin

Bor Gornji MilanovacKragujevac Grosnica Cuprija Zajecar Titovo UzicePozega Paracin

Kraljevo

Ivanjica

Nis Sjenica Prokuplje Zitorada

Map 18: Distribution of schools with a permanent connection to the Internet (2001/2002 school year).

96 optimization of the network of schools in serbia optimization of the network of schools in serbia 97 1 Subotica Kanjiza 2 − 5 Hajdukovo Novi Knezevac Stanisic Stari Zednik Pacir Senta Backa Topola Kikinda 6 − 10 Sombor Ada Apatin Backo Petrovo Selo Banatskoa Topola 11 − 15 Kula Becej Torda Bogojevo OdzaciSavino Selo Srpski Miletic CesteregZitiste 38 Temerin ZrenjaninLazarevo Ecka Botos Backa PalankaGlozan Futog Orlovat Hajducica Rumenka Kovilj Titel Novi Sad Janosik Erdevik Vrsac Indija Opovo Alibunar Sremska MitrovicaRuma Stara Pazova Banatski Pancevo Kusic Bogatic BeogradZemun Delibato Bela Crkva Sabac Kovin KupinovoZeleznik Ivanovo SmederevoKostolac Loznica Sopot Ub Vlaska Lazarevac Mladenovac Jabukovac ValjevoDivci Arandelovac Raca Svilajnac Negotin Batocina Despotovac Bor Kragujevac Bajina Basta Svetozarevo Cuprija Zajecar Cacak Titovo UzicePozega Paracin Velki Izvor

Kraljevo Varvarin Vrnjacka BanjaTrstenik Krusevac Knjazevac Aleksinac

Dolnja Nis Blace Niska Banja Pejkovac Zitorada Pirot Kursumlija Babusnica Dimitrovgrad

Map 19: Distribution of schools with a temporary (modem) connection to the Internet (2001/2002 school year).

96 optimization of the network of schools in serbia optimization of the network of schools in serbia 97 Novi Knezevac Subotica Kanjiza 40 − 100

Senta Coka Sombor 100 − 200 Backa Topola Ada Kikinda Mali Idos Nova Crnja Apatin Kula BecejNovi Becej 200 − 400 Srbobran Odzaci Vrbas Zitiste Temerin 400 − 900 Bac Zabalj Backa Palanka Zrenjanin Secanj Backi PetrovacCity of Novi Sad 900 − 2000 Titel Plandiste BeocinSremski Karlovci Kovacica Indija Alibunar Vrsac Sid Opovo Sremska Mitrovica Stara Pazova Palilula Ruma Bela Crkva Bogatic Pancevo PecinciZemunNovi Beograd Kovin

Sabac CukaricaRakovica Veliko Gradiste Vladimirevci Pozarevac Obrenovac Grocka Golubac Loznica Barajevo Smederevo Koceljeva Sopot Ub Kucevo Mladenovac Krupanj Lazarevac Majdanpek Mali Zvornik Lajkovac Arandelovac Velika PlanaPetrovac Valjevo Negotin Ljig Topola Mionica Raca Svilajnac Zagubica Batocina Bor Despotovac Kosjeric Gornji MilanovacCity of Kragujevac JagodinaCuprija Bajina Basta Zajecar Pozega Knic Uzice Cacak Paracin Rekovac Boljevac Varvarin Cajetina Arilje Sokobanja Kraljevo Trstenik Vrnjacka Banja Priboj Krusevac Aleksinac Knjazevac Nova Varos Ivanjica Aleksandrovac Svrljig Prjepolje City of Nis Raska Brus Blace Bela Palanka Sjenica Doljevac Prokuplje Gadzin Han Pirot Novi Pazar Zitorada Kursumlija VlasotinceBabusnica Dimitrovgrad Tutin Leskovac

Map 20: Municipality average of the number of students per PC. This map shows the distribution of older generation PC’s, e.g. Pentium I and older (2001/ 2002 school year).

98 optimization of the network of schools in serbia optimization of the network of schools in serbia 99