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Our focus is to characterize algebraic ways of thinking and to design both affordances of the system as well as suitable tasks and pedagogies that provide a substrate of activity and experience for the teaching and learning of algebraic generalizations. Using as reference illustrative cases of 12 to 13\u2010year\u2010old students' interaction with the microworld, we demonstrate the strong interplay between epistemology and the design of the microworld and draw conclusions regarding its potential to support the development of algebraic ways of thinking.<\/jats:p>","DOI":"10.1111\/j.1365-2729.2011.00469.x","type":"journal-article","created":{"date-parts":[[2012,2,22]],"date-time":"2012-02-22T12:44:59Z","timestamp":1329914699000},"page":"68-84","source":"Crossref","is-referenced-by-count":22,"title":["Sowing the seeds of algebraic generalization: designing epistemic affordances for an intelligent microworld"],"prefix":"10.1111","volume":"29","author":[{"given":"M.","family":"Mavrikis","sequence":"first","affiliation":[]},{"given":"R.","family":"Noss","sequence":"additional","affiliation":[]},{"given":"C.","family":"Hoyles","sequence":"additional","affiliation":[]},{"given":"E.","family":"Geraniou","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,2,22]]},"reference":[{"key":"e_1_2_8_2_1","first-page":"201","volume-title":"Proceedings of the Joint Meeting of PME 32 and PMENA","author":"Becker J.","year":"2008"},{"key":"e_1_2_8_3_1","first-page":"235","volume-title":"Algebra in the Early Years","author":"Carraher D.","year":"2008"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1080\/14794800902732233"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0732-3123(96)90023-1"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57799-4_2"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11858-007-0071-y"},{"key":"e_1_2_8_8_1","first-page":"49","volume-title":"PME 33: International Group for the Psychology of Mathematics Education","author":"Geraniou E.","year":"2009"},{"key":"e_1_2_8_9_1","volume-title":"CERME 6, Sixth Conference of European Research in Mathematics Education","author":"Geraniou E.","year":"2009"},{"key":"e_1_2_8_10_1","first-page":"393","volume-title":"Proceedings of the International Conference on Psychology of Mathematics Education","author":"Geraniou G.","year":"2010"},{"key":"e_1_2_8_11_1","first-page":"67","volume-title":"Perceiving, Acting, and Knowing: Toward An Ecological Psychology","author":"Gibson J.","year":"1977"},{"key":"e_1_2_8_12_1","doi-asserted-by":"crossref","first-page":"548","DOI":"10.5951\/TCM.16.9.0548","article-title":"An algebraic\u2010habits\u2010of\u2010mind perspective on elementary school","volume":"16","author":"Goldenberg P.","year":"2010","journal-title":"Teaching Children Mathematics"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.2307\/749074"},{"key":"e_1_2_8_14_1","doi-asserted-by":"crossref","unstructured":"Gutierrez\u2010SantosS. 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