{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T22:42:58Z","timestamp":1751496178181},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642218682"},{"type":"electronic","value":"9783642218699"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-21869-9_18","type":"book-chapter","created":{"date-parts":[[2011,6,12]],"date-time":"2011-06-12T18:56:02Z","timestamp":1307904962000},"page":"123-130","source":"Crossref","is-referenced-by-count":17,"title":["Learning by Problem-Posing for Reverse-Thinking Problems"],"prefix":"10.1007","author":[{"given":"Tsukasa","family":"Hirashima","sequence":"first","affiliation":[]},{"given":"Megumi","family":"Kurayama","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"18_CR1","doi-asserted-by":"crossref","DOI":"10.1515\/9781400828678","volume-title":"How to Solve It","author":"G. Polya","year":"1945","unstructured":"Polya, G.: How to Solve It. Princeton University Press, Princeton (1945)"},{"key":"18_CR2","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/BF00305073","volume":"17","author":"N.F. Ellerton","year":"1986","unstructured":"Ellerton, N.F.: Children\u2019s Made Up Mathematics Problems: A New Perspective on Talented Mathematicians. Educational Studies in Mathematics\u00a017, 261\u2013271 (1986)","journal-title":"Educational Studies in Mathematics"},{"issue":"2","key":"18_CR3","doi-asserted-by":"crossref","first-page":"211","DOI":"10.2190\/2RNG-WM2B-XEVM-4EP3","volume":"32","author":"F. Yu","year":"2003","unstructured":"Yu, F., Liu, Y.H., Chan, T.W.: A Networked Question-Posing and Peer Assessment Learning System: a Cognitive Enhancing Tool. Journal of Educational Technology Systems\u00a032(2), 211\u2013226 (2003)","journal-title":"Journal of Educational Technology Systems"},{"key":"18_CR4","unstructured":"Nakano, A., Hirashima, T., Takeuchi, A.: Problem-Making Practice to Master Solution-Methods in Intelligent Learning Environment. In: Proc. of ICCE 1999, pp. 891\u2013898 (1999)"},{"key":"18_CR5","doi-asserted-by":"crossref","unstructured":"Hirashima, T., Nakano, A., Takeuchi, A.: A Diagnosis Function of Arithmetical Word Problems for Learning by Problem Posing. In: Proc. of PRICAI 2000, pp. 745\u2013755 (2000)","DOI":"10.1007\/3-540-44533-1_74"},{"key":"18_CR6","unstructured":"Hirashima, T., Yokoyama, T., Okamoto, M., Takeuchi, A.: Learning by Problem-Posing as Sentence-Integration and Experimental Use. In: Proc. of AIED 2007, pp. 254\u2013261 (2007)"},{"issue":"5","key":"18_CR7","doi-asserted-by":"publisher","first-page":"521","DOI":"10.2307\/749846","volume":"27","author":"E.A. Silver","year":"1996","unstructured":"Silver, E.A., CAI, J.: An Analysis of Arithmetic Problem Posing by Middle School Students. Journal for Research in Mathematics Education\u00a027(5), 521\u2013539 (1996)","journal-title":"Journal for Research in Mathematics Education"},{"key":"18_CR8","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1037\/0033-295X.92.1.109","volume":"92-1","author":"W. Kintsch","year":"1985","unstructured":"Kintsch, W., Greeno, J.G.: Understanding and Solving Word Arithmetic Problem. Psychological Review\u00a092-1, 109\u2013129 (1985)","journal-title":"Psychological Review"},{"key":"18_CR9","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/BF00132515","volume":"10","author":"R.E. Mayer","year":"1981","unstructured":"Mayer, R.E.: Frequency norms and structural analysis of algebra story problems into families, categories, and templates. Instructional Science\u00a010, 135\u2013175 (1981)","journal-title":"Instructional Science"},{"key":"18_CR10","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1037\/0022-0663.74.2.199","volume":"74","author":"R.E. Mayer","year":"1982","unstructured":"Mayer, R.E.: Memory for algebra story problem. Journal of Educational Psychology\u00a074, 199\u2013216 (1982)","journal-title":"Journal of Educational Psychology"},{"key":"18_CR11","first-page":"153","volume-title":"The Development of Mathematical Thinking","author":"M.S. Riley","year":"1983","unstructured":"Riley, M.S., Greeno, J.G., Heller, J.I.: Development of Children\u2019s Problem-Solving Ability in Arithmetic. In: Ginsburg, H. (ed.) The Development of Mathematical Thinking, pp. 153\u2013196. Academic Press, London (1983)"}],"container-title":["Lecture Notes in Computer Science","Artificial Intelligence in Education"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-21869-9_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,19]],"date-time":"2020-06-19T22:32:32Z","timestamp":1592605952000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-21869-9_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642218682","9783642218699"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-21869-9_18","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}