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@misc{32221, author = {Vargová, Michaela and Varga, Marek and Záhumenská, Lucia}, address = {Nitra}, booktitle = {Staircase to even more interesting mathematics teaching}, editor = {Soňa Čeretková}, keywords = {infinite series; convergence; visualization; proofs without words}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Nitra}, isbn = {978-80-558-0973-1}, pages = {102-112}, publisher = {Constantine the Philosopher University in Nitra}, title = {How to add infinitely long sums ...}, year = {2016} }
TY - GEN ID - 32221 AU - Vargová, Michaela - Varga, Marek - Záhumenská, Lucia PY - 2016 TI - How to add infinitely long sums ... VL - Neuveden PB - Constantine the Philosopher University in Nitra CY - Nitra SN - 9788055809731 KW - infinite series KW - convergence KW - visualization KW - proofs without words N2 - Understanding the concept of infinity, which is one of the fundamental concepts of mathematics, assumes significant degree of cognitive maturity of every individual. For this reason is this concept in teaching process source of many obstacles and difficulties. Students meet for the first time with the notion of infinity in „explicit form“ in connection with the concept of convergence of sequences and series. As confirmed by several studies, many practicing teachers or our own experience, the concept of sum of infinite series belongs in terms of learning process to difficult and problematic ones. In our opinion, one of the obstacles that students face in relation to the concepts of convergence and the sum of the infinite series is confusion of meanings of terms infinite and unbounded. The contribution states some visual several visual representations of sum of infinite series, which may help students to overcome some difficulties related to the thorough understanding of these concept. ER -
VARGOVÁ, Michaela, Marek VARGA a Lucia ZÁHUMENSKÁ. How to add infinitely long sums ... In Soňa Čeretková. \textit{Staircase to even more interesting mathematics teaching}. Nitra: Constantine the Philosopher University in Nitra, 2016, s.~102-112. ISBN~978-80-558-0973-1.
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