Education for the Future: Crafting 3D Geometric Models and Building Mathematics Knowledge with 3D Printing

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10476314" target="_blank" >RIV/00216208:11320/23:10476314 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Education for the Future: Crafting 3D Geometric Models and Building Mathematics Knowledge with 3D Printing

Popis výsledku v původním jazyce

This paper addresses the creation of 3D geometric models using 3D printers and introducesa newly designed and 3D-printed construction set of polygons for educational purposes.The process of creating these geometric models encompasses steps such as design,3D computer modeling with Constructive Solid Geometry (CSG), 3D computer modelingof parametric surfaces using principles of differential geometry, 3D scanning of realobjects, and the process of manufacturing itself. Students can be involved in the entireprocess of crafting models for 3D printers, and these resulting printed models can be utilizedin geometry education at all levels (university and secondary school in our scenario)as instructional aids. We explore the potential methods to design geometric objects using3D computer modeling software; this covers both commercial options and open-sourcesoftware like Tinkercad, a free web application for 3D design, electronics, and coding. Wepresent the fabrication of a new construction set of polygons which consists of differentshapes of regular and irregular polygons and it is intended for use in mathematics teachingto study polygon properties and create diverse types of tessellations at the secondary schoollevel. The effects of using these instructional aids were tested with several groups of students.All steps of the model design for 3D printing, in combination with the physical 3Dprinted models, shed new light on mathematics education and more broadly, to educationas a whole. This process engages students in solving real-world problems and enhancestheir understanding of geometry, while familiarizing them with 3D computer modelingand 3D printing technologies. Both 3D virtual models and 3D printed models can act asmanipulative instructional aids.

Název v anglickém jazyce

Education for the Future: Crafting 3D Geometric Models and Building Mathematics Knowledge with 3D Printing

Popis výsledku anglicky

This paper addresses the creation of 3D geometric models using 3D printers and introducesa newly designed and 3D-printed construction set of polygons for educational purposes.The process of creating these geometric models encompasses steps such as design,3D computer modeling with Constructive Solid Geometry (CSG), 3D computer modelingof parametric surfaces using principles of differential geometry, 3D scanning of realobjects, and the process of manufacturing itself. Students can be involved in the entireprocess of crafting models for 3D printers, and these resulting printed models can be utilizedin geometry education at all levels (university and secondary school in our scenario)as instructional aids. We explore the potential methods to design geometric objects using3D computer modeling software; this covers both commercial options and open-sourcesoftware like Tinkercad, a free web application for 3D design, electronics, and coding. Wepresent the fabrication of a new construction set of polygons which consists of differentshapes of regular and irregular polygons and it is intended for use in mathematics teachingto study polygon properties and create diverse types of tessellations at the secondary schoollevel. The effects of using these instructional aids were tested with several groups of students.All steps of the model design for 3D printing, in combination with the physical 3Dprinted models, shed new light on mathematics education and more broadly, to educationas a whole. This process engages students in solving real-world problems and enhancestheir understanding of geometry, while familiarizing them with 3D computer modelingand 3D printing technologies. Both 3D virtual models and 3D printed models can act asmanipulative instructional aids.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of the 28th Asian Technology Conference in Mathematics

ISBN

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ISSN

1940-4204

e-ISSN

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Počet stran výsledku

14

Strana od-do

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Název nakladatele

Mathematics and Technology, LLC

Místo vydání

Neuveden

Místo konání akce

Pattaya, Thailand

Datum konání akce

10. 12. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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