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Matematika prvih civilizacij za najmlajše : diplomsko delo
ID Jenko, Nastja (Author), ID Hodnik, Tatjana (Mentor) More about this mentor... This link opens in a new window

URLURL - Presentation file, Visit http://pefprints.pef.uni-lj.si/4434/ This link opens in a new window

Abstract
Diplomsko delo z naslovom Matematika prvih civilizacij za najmlajše obravnava začetke matematike. Že prvi ljudje na svetu so morali dobro premisliti, kako bodo preživeli. Zaradi tega so že v samem začetku posegli po matematiki. Morali so prešteti veliko stvari, kot na primer: živali, sadje, zelenjavo, drva ali skupino ljudi. Tako so posegli po pojmu število. Izmislili so si prve znake za zapis osnovnih števil in jih poimenovali. V začetku so morali ljudje najprej poseči po prirejanju 1–1, da so vedeli, česa je več, manj ali enako. Posamezne civilizacije so razvile lastne zapise števil. Tako so se razvili tudi različni številčni sistemi. Ko so se osnovala prva ljudstva, ki so se naselila ob velikih rekah, se je med njimi razvilo tudi trgovanje za različne dobrine. Včasih še niso poznali merskih enot in metra, zato so bili primorani uporabljati nestandardne enote. Najlažje jim je bilo, če so uporabili dele telesa, saj so jih vedno imeli »pri roki«. V empiričnem delu bomo skozi projekt »Matematika nekoč« otrokom skušali približati, kako je nastajala matematika. Poglobili se bomo v prirejanje 1–1, merjenje z nestandardnimi enotami in zapisovanje števil. Spoznavali bomo načine, kako so včasih šteli in zapisovali števila. Pri tem bomo upoštevali pobude otrok in njihove zamisli o tem, kako si predstavljajo začetke matematike. Naš projekt bo vseboval pet vodenih dejavnosti, skozi katere bomo otroke popeljali v svet naših daljnih prednikov. Raziskali bomo ali otroci tako razmišljajo, kot so pred mnogimi leti. Ali si na podoben način izmišljajo svoje znake za zapis števil. Sodelovalo bo 13 otrok starih od 3 do 5 let.

Language:Slovenian
Keywords:matematika nekoč, prirejanje 1-1, zapisovanje števil, merjenje z nestandardnimi enotami
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:PEF - Faculty of Education
Publisher:[N. Jenko]
Year:2017
Number of pages:66 str.
PID:20.500.12556/RUL-91528 This link opens in a new window
UDC:373.2.016:51(043.2)
COBISS.SI-ID:11516233 This link opens in a new window
Publication date in RUL:25.08.2017
Views:2042
Downloads:309
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Secondary language

Language:English
Title:Mathematics of first civilizations for preschoolers
Abstract:
The thesis entitled Mathematics of first civilizations for preschoolers focuses on the beginnings of mathematics. The first humans in the world already had to carefully plan their survival. This made them use mathematics. There were many things they had to count, such as animals, fruits, vegetables, firewood or groups of people. Consequently they came up with the concept of numbers. They invented the first symbols for writing down basic numbers and named them. In the beginning, people first resorted to comparing 1 to 1, so they could evaluate what is more or what is less or the same. Individual civilizations developed their own ways of writing numbers. So different numbering systems developed as well. When first peoples, who settled in the vicinitiy of large rivers, were founded, various ways of trade of a variety of goods developed as well. They did not use any units of measure or a tape measure yet, so they were forced to use non-standard units. The simplest way was to use body parts, as they were always "at hand". In the empirical part, we will use the "Mathematics of the past" project to try to explain to the children how mathematics developed. We will take a closer look at comparing 1 to 1, measuring with non-standard units and different ways of writing down numbers. We will learn about the old ways of counting and writing down numbers. At the same time we will apply the initiatives of the children and their own representations of the beginnings of mathematics. The project will include five guided activities to help children imagine the world of our distant ancestors. We will research whether children think in a similar way as people did many years ago and whether they develop their symbols for writing down numbers in a similar way. 13 children aged 3 to 5 years will participate in the project.

Keywords:pre-school child, mathematics, predšolski otrok, matematika

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