Savko Jekič, Ph.D., Miroljub Grozdanovič, Ph.D., Dragan Golubovič, Ph.D., Evica Stojiljkovič, Ph.D. Playground equipment in the function of didactic games Pregledni znanstveni članek UDK 684.4:373.2 KLJUČNE BESEDE: ergonomsko projektiranje, po-hišdtvo za otroke, antropometrične mere POVZETEK - Igračaje pomembno vzgojno-izobraže-valno sredstvo. Ni druge stvari na svetu, ki bi bila tako privlačna za otroke in bi tako izpolnila njihov čustveni svet, kot ga lahko igrača. Z njeno pomočjo otroci razvijajo svoje čute in mišice, učijo se družabnosti. Igrače prispevajo k razvoju inteligence in pomagajo pri učenju. Razvijajo ustvarjalnega duha pri otrocih in prispevajo k razvoju komunikacijskih veščin. Sodobne igrače morajo biti ergonomsko zasnovane zaradi varnosti in zdravja otrok v času igre. Namen tega prispevka je predstaviti rezultate statičnih in dinamičnih antropometričnih meritevdimenzij predšolskih otrok iz osrednje Srbije. Merjenja smo izvedli v vrtcu v vseh treh starostnih skupinah (3-4 leta, 4-5 let, 5-6 let). V raziskavi smo definirali skupaj 32 statičnih in 15 dinamičnih antropometričnih količin. Ugotovili smo, da na osnovi statičnih in dinamičnih antropometričnih izmer lahko lahko izboljša varnost, funkcionalnost in udobje uporabnikov. Review scientific paper UDC 684.4:373.2 KEYWORDS: ergonomie design, child's playground equipment, anthropometric measurements ABSTRACT-A toy is considered as a highly important pedagogical and educational instrument. There is no other object in the world that attracts a child as a toy does. Nothing fulfills the child's emotional world like a toy. A toy helps the child develop senses and muscles as well adopt the rules of social behavior. The toy plays an important role in intellectual development and assists the learning process. It improves creativity and contributes to the advancement of communication skills of a child. Modern toys offered to children should be ergonomically designed in order to improve the safety and health of the children during a game. Given that, the aim of this paper to present the results of static and dynamic anthropometry of the body dimensions of pre-school children (from Central Serbia). The measurements concerned three age groups of children: junior (3-4 years old), middle (4-5 years old) and senior (5-6 years old). For the purposes of this project, a list of 32 static and 15 dynamic anthropometric measurements of arm and leg outreach of the children were done. 1. Introduction A toy is considered as a highly important pedagogical and educational instrument. The great importance of a toy for physiological and physical development of a child is well described by E. Seguen: "Books can never teach what toys can yield to a child...if you observe what kind of toys your children prefer, you will be able to predict what kind of persons they will grow up to be" (Jekic, 2011). There is no other object in the world that attracts a child as a toy does. Nothing fulfills the child's emotional world like a toy. A toy helps the child develop senses and Jekic, Ph.D., Grozdanovic, Ph.D., Golubovic, Ph.D., Stojiljkovic, Ph.D.: Playground... 147 muscles as well adopt the rules of social behavior. The toy plays an important role in intellectual development and assists the learning process. It improves creativity and contributes to the advancement of communication skills of a child. Modern toys should be ergonomically designed to match the form of the child's hand and other body dimensions of the child (height, weight). They should fit the current level of the child's development, making it possible for children to handle toys according to their own ideas, without being exposed to any extra efforts. The ergonomics of the children's playground equipment comprises two main areas: adapting the equipment (playground equipment) and the surrounding (playgrounds, venues, sport halls) to the child (child's age). Serbia still does not have national anthropometric standards, since this requires large-scale measuring that should be performed on a high number of samples, followed by careful monitoring over a time span of two or more decades, which is an extremely costly undertaking. National manufacturers of children's playground equipment have had to use foreign data on anthropometric measurements, and these had to be modified (since they could not be directly implemented) due to the existing anthropometric differences. Considering the fact that in Serbia so far there have not been any projects that would encompass anthropometric measurements of the population on a national scale, this paper is the only valid source of relevant data. The obtained results of the static and dynamic anthropometric measurements of pre-school children can be used to introduce standards for dimensioning playground equipment, "safety zones" around playground features and playgrounds themselves. 2. Methodology It is a widespread practice in Serbian kindergartens to classify children into (Ka-menov, 1983, 1997, Eljkonin, 1981, Jekic, Golubovic, 2006b): nursery, junior, middle and pre-school group, and toys are chosen in accordance with the age group of the children. Table 1 shows the age of the children who were the target group for this research. Table 1. Age of children in pre-school institutions in Serbia To 3 years old (nursery: crib age) 3-4 years old (junior: young age group) 4-5 years old (middle: medium age group) 5-6 years old (senior: older age) Over 7 years old (school age group) Age group of children, users of playground equipment 100 Didactica Slovenica - Pedagoška obzorja (2, 2013) 148 The measurements of the static anthropometric dimensions were done from 2226 June 2006, while the dynamic measurements of outreach (arm and leg) were done from 15-26 June 2007, in the "Poletarac" kindergarten, a unit of the pre-school institution "Radost" in Cacak. The data (body measurements of children) were recorded in a form of a graphic description of the child's body (in the standing and seating position, the palm of the hand and the foot), with pointers and fields for entering the measured values. The results of the measured parameters, obtained on a sample of 65 children, are shown in the tables, according to their group classification: junior group (17 children), middle group (22 children), and senior, or pre-school group (26 children). Based on the foreign (Motmans, 2005, McDowell et al., 2008, Kp-CTeBa, 2008, EN 1176:2008, CDC24/7, 2009, TU Delft, 2009a, 2009b) and domestic (Simic, 1991, Grozdanovic, 1999, 2003, Klarin, Cvijanovic, 2005) scientific literature, as well as the experience of the authors of this research, a list of required anthropometric measurements was compiled. For the purposes of this project, a list of static anthropometric measurements was created, referring to various body measurements of pre-school children: 12 anthropometric measurements in the standing position; 11 anthropometric measurements in the seating position; 7 anthropometric measurements of body parts - the hand, foot and head which; together with two more measurements - shoe size and weight -make a list of 32 measurements. For the purposes of the dynamic anthropometric measurements of the reach of the child's bodies, 15 measurements were selected. Seven of these measurements were done for the standing position, six for the seating position and two of the measurements referred to the hand and the foot. All of the measurements were selected to allow subsequent combinations, i.e. a mathematical calculation directed towards producing other measurements that can practically satisfy all the different needs of the manufacturers dealing with the production of various items to be used by the children of this age. In planning and designing children's playground equipment, the ergonomic / anthropometric static body measurements of pre-school children can be a dominant factor. Therefore, it is necessary to adjust playground features with the anthropome-tric measurements of the children who are likely to use the given playground equipment and toys. That is the way to achieve significant improvements in safety, functionality, comfort and pleasure of playground users (i.e. children) and their parents or educators. Table 2 contains all of the major static and dynamic measurements of arm and leg outreach of the children necessary for an appropriate design of playground equipment and playgrounds, as well as for a design of "safety zones" around the playgrounds' (Jekic, Golubovic, 2006a, 2009). Jekic, Ph.D., Grozdanovic, Ph.D., Golubovic, Ph.D., Stojiljkovic, Ph.D.: Playground... 149 Table 2. Most important static and dynamic measurements of the children Static anthropometric measurements (choice of the so-called "great measurements") Dynamic anthropometric measurements A - Body height Adm.inax. - The maximum height of reach by the hand (u in a standing position) Adm.nom. - The normal height of reach by the hand (u in a standing position) H - Shoulder width Ddinmax. - The maximum height of raised foot, leg bent in the knee (in a standing position) P - Height from seat to elbow Edin max - The maximum height of reach by the hand (in a sitting position) Edin nom - The normal height of reach by the hand (in a sitting position) U - Forearm length Ldinmax. - The maximum measurements of lateral reach by the hand, with the body in a sitting position V - Height from the bottom to the sitting part - behind the chair, bench Gdm.max. - The maximum measurements of reach by the hand, while leaning forward (in a sitting position) X - Width of the sitting part of the child in a sitting position Sdm.max. - The maximum measurements of forward reach by the foot, in a sitting position T - Calf length 0 - The largest diameter of an imagined bar that can be grasped by the child's hand so that the thumb and the index finger touch - make contact Y - Width of the child's head ¥ - The largest rotation angle of the foot Z, 0 - Length of the child's palm fl - Width between the palm and the thumb ¥ - Foot length (®) - Shoe size of the child A - The largest width of the foot (®) - Shoe size of the child Q - Body weight of the child 3. Results The safety of children who use playground equipment primarily depends on the engineering knowledge and the experience in choosing the material, as well as the calculation of the dimensions of the cross-section of the carrying elements and the joining elements of the structure (the frame of the structure). The implementation of this anthropometric results is supported by the implementation of the knowledge of the applied arts, psychology, etc. that will fully guarantee the pleasure and safety children - users of playground equipment, both during and after the game. 100 Didactica Slovenica - Pedagoška obzorja (2, 2013) 150 Table 3. Basic statistical data of static anthropometric measurements of pre-school children (all three age groups, n=61 children) Body weight (kg) a 1249.50 20.48 4.35 13.50 32.00 13.35 20.48 27.62 Anthropometric measurements of the palm, the foot and the head of the child Greatest width of foot < 497.30 8.15 0.93 6.80 10.50 6.63 8.15 9.68 Length of foot £H 1105.00 18.11 1.65 15.00 22.00 15.41 18.11 20.82 Palm width with thumb < 457.20 7.50 0.58 6.20 9.00 6.55 7.50 8.44 Palm width without thumb a 388.30 6.37 0.60 5.30 7.50 5.39 6.37 7.34 Palm length to the finger © 465.70 7.63 0.68 6.00 9.00 6.52 7.63 8.75 Length of stretched palm N 800.10 13.12 1.04 11.00 15.00 11.41 13.12 14.82 Child's head width ?H 862.10 14.13 0.71 13.00 17.00 12.97 14.13 15.29 Anthropometric measurements of the child's body in a siting position (cm) Width of sitting part X 1421.50 23.30 2.47 18.00 29.00 19.25 23.30 27.36 Length from bottom to knees ft 2087.30 34.22 3.13 28.00 44.00 29.09 34.22 39.35 Height from bottom to sitting part > 1690.10 27.71 2.37 22.00 33.00 23.82 27.71 31.60 Length of forearm P 1519.90 24.92 2.45 20.50 31.30 20.89 24.92 28.94 Length of calf of leg H 1789.30 29.33 3.12 22.00 35.20 24.21 29.33 34.46 Length of upperknees part 2233.30 36.61 4.01 30.30 45.00 30.04 36.61 43.19 Height of thigh in sitting position 699.50 11.47 2.04 8.00 16.00 8.12 11.47 14.82 Height from seat to elbow 941.80 15.44 2.75 10.50 23.00 10.93 15.44 19.95 Height of shoulders 0 2324.00 38.10 3.88 31.00 46.00 31.74 38.10 44.46 Height of eyes z 3181.60 52.16 4.59 44.00 63.00 44.63 52.16 59.69 Height of sitting £ 3821.90 62.65 4.96 50.60 74.00 54.51 62.65 70.80 Anthropometric measurements of the child's body in a standing position (cm) Span of streched arm - 5989.00 98.18 7.18 81.00 115.00 86.41 98.18 109.95 Stomach obesity 915.30 15.00 2.12 10.80 21.00 11.52 15.00 18.49 Width of thighs 1341.60 21.99 3.27 17.20 33.00 16.62 21.99 27.36 Width of waist 1143.90 18.75 3.08 14.00 28.00 13.70 18.75 23.80 Width of shoulders part H 1708.30 28.00 2.72 22.30 36.20 23.54 28.00 32.47 Length of extended arm 0 2940.30 48.20 4.79 39.50 61.00 40.35 48.20 56.05 Height up to the knees fe 1880.80 30.83 2.90 25.50 39.00 26.07 30.83 35.59 Height to the hand (palm) H 2613.50 42.84 4.51 31.00 51.00 35.44 42.84 50.24 Height up to the elbow Q 4107.70 67.34 5.59 57.00 80.00 58.17 67.34 76.51 Height to sholders U 5340.10 87.54 6.96 73.00 102.00 76.13 87.54 98.95 Height to the eyes M 6178.30 101.28 8.18 85.30 124.00 87.87 101.28 114.70 Body height < 6900.50 113.12 8.45 98.50 139.00 99.27 113.12 126.98 E X o Xmin ^max P5 P5o P95 Jekic, Ph.D., Grozdanovic, Ph.D., Golubovic, Ph.D., Stojiljkovic, Ph.D.: Playground... 151 Table 4. Correlation coefficients (r) of anthropometric measurements of pre-school children (all three age groups, n=61-children) Body weight (kg) a s S i S î S S = ï E^ Ü £ = E^ S EE E^ o î î Ü E^ un C S 5 IS T3 = S « (Ö i = S js .2 * 2 •¡=5 2 (J S J 3 Greatestwidth of foot © < se s S I S Z E^ i E^ I E^ i 1 S E^ i E^ E^ Length of foot Ch M EH I I 1 S E^ S^ E^ E^ i E^ Si E E^ s S^ î Ü î S^ E^ Greatest palm width with thumb 00 M <1 ï i S • ï Z E^ s S s^ 1 s E^ E^ E^ E^ E^ £ E^ Palm width without thumb tM « g 1 1 ï ï E^ E^ • E^ Sr E^ * s^ E^ E^ •i ü E^ Palm length to the finger <0 CJ s EE g B E^ S E^ E^ E^ EE EE 1 • s^ î E^ a a £ S"3 ■= JS "O Length of stretched palm un M N s S ï 1 s E^ S EE 1 Si ï ! S S^ E^ Si O JS Child's head width m !" es 1 g EE E^ E^ 1 1 E^ ES 1 E^ E^ E^ ■o Width of sitting part ^ M X 1 S 1 E^ 1 1 • s î S S S^ Er Er s^ Er S S^ E^ JS 2 IE (j Length from bottom to knees m m H S 1 1 EE E^ E^ E^ E^ Ï E^ Height from bottom to sitting part M > I I 1 i = EE EE E^ E^ = ï Î EE Si E^ S ? «t- U o ^ tt s la •£ Length of forearm © M & 1 g o 1 E^ 1 S EE ■s E^ E^ S ■s 1 i 1 EE Length to the calf of leg c* H = S I s lï S Ü^ Sr 1 Si S S £ & S ©£ « .s s « u " 5 ™ Length of upperknees part 00 t» 1 g s E^ 1 z E^ s Ü^ Ei Height of thigh in sitting position t- « £ i î E^ 1 s E^ Height from seat to elbow V® ft S ee E? E^ E^ S s E^ SE E^ E o Height of shoulders un CD CD LO CO LO CO I 35.00 | I 85.00 | CD CD CD LO 55.15 Is-o^ 0.17 0.17 -0.06 0.13 -0.08 0.09 0.08 0.15 0.15 0.16 0.18 0.13 0.19 0.10 1.00 duS-pueq joj k.ieq jo jaiaiueip luniuixej^ Tt S 0.55 0.56 0.35 0.11 0.03 -0.05 0.07 0.39 0.47 0.15 0.16 0.37 0.43 1.00 Anthropometric dynamic measurements of the child's body in a sitting position (lengths are expressed in cm, angles in °) ÏOOJ luniuixej^ = 0.76 0.76 0.34 0.23 0.39 0.13 0.31 0.70 0.75 0.33 0.26 0.51 1.00 Sa| p.npja.ijsjno qjiAi jooj jo qaea.i p.iBAi.ioj 'xej^ H | CA 0.70 0.72 0.28 0.02 0.12 -0.16 0.08 0.56 0.61 0.57 0.40 1.00 pueq ;Cq qaea.i |e.iaje| luniuixej^ S Jf 0.39 0.40 0.04 0.02 0.19 0.03 -0.08 0.36 0.35 0.54 1.00 pueq ;{q qaea.i p.ieALioj luniuixej^ ® = 0 0.54 0.55 0.15 0.27 0.23 0.08 0.03 0.41 0.48 1.00 pueq ;Cq qaea.i jo iqSiaq |eui.io[»j cK Ê B w 0.91 0.91 0.44 0.20 0.49 -0.11 0.21 0.93 1.00 pueq ;{q qaea.i jo iqSiaq luniuixej^ oe J H 0.87 0.86 0.48 0.18 0.47 -0.17 0.27 1.00 Anthropometric dynamic measurements of the child's body in a standing position (lengths are expressed in cm, angles in °) UI.IB joj a|Sue uoijbjo.1 (P-IBAUOj) 'xej^ t^ 1 ca 0.24 0.28 0.28 0.19 0.20 0.24 1.00 UI.IB joj a|Sue uoijbjo.1 (pjeAßpeq) 'xej^ B S -0.12 -0.07 -0.01 0.11 -0.05 1.00 aatni aqj ui juaq Sa| e ouisie.! jo iqSiaq luniuixej^ B Q 0.37 0.41 0.37 0.37 1.00 Sa| p.npja.ijsjno aqi ouisie.! jo iqSiaq luniuixej^ Tt | yHKUH0HamH npoMeHH Ha ge^Ta OT npegynum^Ha BT>3pacT. HaynHH TpygoBe Ha PyceHCKHa yHHBepcmeT. tom 47 cepna 5.4. Retrieved on 8/7/2009 from World Wide Web http://conf.ru.acad.bg/bg/docs/cp/5.4/5.4-47.pdf Dr. Savko Jekic (1955), Mech. Engineering ASA-CO d.o.o. Company. Address: Stara pruga bb, 32212 Preljina, Čačak, Serbia; Phone: (+381) 063 622 343 E-mail: asa_co@open.telekom.rs Dr. Miroljub Grozdanovic (1947), full professor at the University of Niš, the Faculty of Occupational Safety in Niš. Address: Čarnojevica 10a, 18000 Niš, Serbia; Phone: (+381) 063 406 248 E-mail: miroljub.grozdanovic@znrfak.ni.ac.rs Dr. Dragan Golubovic (1947), full professor at the University of Kragujevac, the Technical Faculty in Čačak. Address: Svetog Save 65, 32000 Čačak, Serbia; Phone: (+381) 063 827 52 24 E-mail: golubd@tfc.kg.ac.rs Dr. Evica Stojiljkovic (1976), assistant professor at the University of Niš, the Faculty of Occupational Safety in Niš. Address: Čarnojevica 10a, 18000 Niš, Serbia; Phone: (+381) 069 148 70 31 E-mail: evica.stojiljkovic@znrfak.ni.ac.rs