Ране генерализације као извор математичких заблуда: примери нуле и разломака
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Vučić, M., & Lužanin, Z. (2026). Ране генерализације као извор математичких заблуда: примери нуле и разломака. Norma, 31(1), 41-54. https://doi.org/10.5937/norma31-67723

Sažetak

Предмет рада су ране генерализације као могући извор математичких заблуда у почетној настави математике, са посебним освртом на појмове нуле и разломака. Циљ рада је да се покаже како интуитивна правила, формирана на основу ограниченог броја примера и искустава у раду са природним бројевима, могу постати проблематична када се некритички пренесу у нове бројевне контексте. Применом теоријско-аналитичког приступа и разматрањем релевантне литературе анализира се однос процедуралног и концептуалног знања, као и типични облици ученичког резоновања. Резултати анализе указују да локално тачна правила могу прерасти у стабилне заблуде ако се не прецизирају услови њихове примене. Посебно се истиче да разумевање нуле и разломака захтева преиспитивање раних интуитивних правила, као и примену контрапримера, различитих репрезентација и критичке употребе дигиталних алата у развијању концептуалног разумевања.

Ključne reči

ране генерализације
математичке заблуде
нула
разломци
концептуално разумевање
методика наставе математике
DOI: 10.5937/norma31-67723

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