%0 Conference Paper %1 Sasman99 %A Sasman, Marlene %A Olivier, Alwyn %A Linchevski, Liora %B Fifth Annual Congress of the Association for Mathematics Education of South Africa %C Port Elizabeth %D 1999 %I Port Elizabeth Technikon %K ijtme2006 mythesis patterns representation sequences sequences-ictmt7 %P 177-182 %T Developing and stimulating generalisation thinking processes and skills %U http://www.wcape.school.za/malati/Files/Generalise993.pdf %V 1

@inproceedings{Sasman99, added-at = {2008-05-30T00:52:04.000+0200}, address = {Port Elizabeth}, author = {Sasman, Marlene and Olivier, Alwyn and Linchevski, Liora}, biburl = {https://www.bibsonomy.org/bibtex/2ac7af0cf0345ca43ca9c94236441094c/yish}, booktitle = {Fifth Annual Congress of the Association for Mathematics Education of South Africa}, citeulike-article-id = {379237}, comment = {In many countries pattern recognition and generalisation are considered fundamental to developing mathematical thinking and has thus become important components of mathematics curricula reform. South Africa's new curriculum plans (Curriculum 2005) also emphasises the importance of generalisation as is evident from the following specific outcomes for Mathematical Literacy, Mathematics and Mathematical Sciences: : Most students had no difficulty finding f (7) and f (8) in any of the activities - they either found and used the function rule correctly, or used recursion correctly for these nearby values. However, in trying to find a manageable strategy for finding further-lying function values, children invented a variety of different strategies. While using recursion was successful in extending number patterns to nearby values, students find it tedious for finding larger function values. They then mostly attempted to adapt their recursion strategy in some way, but made many logical errors in the process. Our biggest concern is not so much the fact that students make many errors, but that they do not feel the need, or do not have the know-how, to verify their methods or answers against the given data. We also found that students worked nearly exclusively in the numbercontext and not with the pictures.}, interhash = {b1d9b4b48a0b6676feae5e4daa89e134}, intrahash = {ac7af0cf0345ca43ca9c94236441094c}, keywords = {ijtme2006 mythesis patterns representation sequences sequences-ictmt7}, pages = {177-182}, priority = {2}, publisher = {Port Elizabeth Technikon}, timestamp = {2008-05-30T00:52:06.000+0200}, title = {Developing and stimulating generalisation thinking processes and skills}, url = {http://www.wcape.school.za/malati/Files/Generalise993.pdf}, volume = 1, year = 1999 }