Framework for analysing continuity in students’ learning experiences during primary to secondary transition in mathematics

References

• Anderson, L. W., J. Jacobs, S. Schramm, and F. Splittgerber. 2000. “School Transitions: Beginning of the end or a new Beginning?” International Journal of Educational Research 33: 325–339. doi: 10.1016/S0883-0355(00)00020-3
   Google Scholar
• Attard, C. 2010. “Students’ Experiences of Mathematics During the Transition from Primary to Secondary School.” In Shaping the Future of Mathematics Education: Proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia, edited by L. Sparrow, B. Kissane, and C. Hurst, 53–60. Fremantle: MERGA.
   Google Scholar
• Attard, C. 2013. “‘If I had to Pick any Subject, it Wouldn’t be Maths’: Foundations for Engagement with Mathematics During the Middle Years.” Mathematics Education Research Journal 25 (4): 569–587. doi: 10.1007/s13394-013-0081-8
   Google Scholar
• Ball, D. L., M. H. Thames, and G. Phelps. 2008. “Content Knowledge for Teaching: What Makes it Special?” Journal of Teacher Education 59 (5): 389–407. doi: 10.1177/0022487108324554
   Web of Science ®Google Scholar
• Bicknell, B., and T. Riley. 2012. “Investigating Transitions in Mathematics From Multiple Perspectives.” Mathematics Education Research Journal 24 (1): 1–17. doi: 10.1007/s13394-011-0027-y
   Google Scholar
• Bosch, M., and J. Gascón. 2006. “Twenty-five Years of the Didactic Transposition.” ICMI Bulletin 58: 51–65.
   Google Scholar
• Bosch, M., and J. Gascón. 2014. “Introduction to the Anthropological Theory of the Didactic (ATD).” In Networking of Theories as a Research Practice in Mathematics Education, edited by A. Bikner-Ahsbahs and S. Prediger, 67–83. Dordrecht: Springer.
   Google Scholar
• Bronfenbrenner, U., and P. A. Morris. 1998. “The Ecology of Developmental Processes.” In Handbook of Child Psychology, vol. 1: Theoretical Models of Human Development (5^th Edition), edited by W. Damon and R. M. Lerner, 993–1023. New York, NY: Wiley.
   Google Scholar
• Bryan, R., and M. Treanor. 2007. Evaluation of Pilots to Improve Primary to Secondary School Transitions. Glasgow: Scottish Executive Social Research.
   Google Scholar
• Carmichael, C. 2015. “Transitioning to Secondary School: The Case of Mathematics.” Australian Journal of Educational & Developmental Psychology 15: 13–23.
   Web of Science ®Google Scholar
• Carraher, D., and A. D. Schliemann. 2014. “Early Algebra Teaching and Learning.” In Encyclopedia of Mathematics Education, edited by S. Lerman, 193–196. Dordrecht: Springer.
   Google Scholar
• Chevallard, Y. 1991. La Transposition Didactique: Du Savoir Savant au Savoir Enseigné [Didactic Transposition: From Scholarly Knowledge to Taught Knowledge]. Grenoble: La Pensée Sauvage, Editions.
   Google Scholar
• Chevallard, Y. 2002. ““Organiser L’étude 3. Écologie & Regulation [To Organize Study 3. Ecology & Regulation].” In Actes de la 11e école de Didactique des Mathématiques, edited by J. L. Dorier, M. Artaud, M. Artigue, R. Berthelot, and R. Floris, 41–56. Grenoble: La Pensée Sauvage.
   Google Scholar
• Dewey, J. [1938] 1997. Experience and Education. New York, NY: Touchstone.
   Google Scholar
• Education and Training Inspectorate, and Department of Education and Skills Inspectorate. 2015. A Joint Report by the Education and Training Inspectorate and the Department of Education and Skills Inspectorate on Promoting and Improving Numeracy in Post-Primary Schools. Belfast & Dublin: Authors. https://www.education.ie/en/Publications/Education-Reports/Best-Practice-Guidelines-in-Numeracy-Provision-at-Post-Primary-Level.pdf
   Google Scholar
• Evangelou, M., B. Taggart, K. Sylva, E. Melhuish, P. Sammons, and I. Siraj-Blatchford. 2008. What Makes a Successful Transition From Primary to Secondary School? London: Department for Children Schools and Families.
   Google Scholar
• Fernández, S., and L. Figueiras. 2014. “Horizon Content Knowledge: Shaping MKT for a Continuous Mathematical Education.” REDIMAT 3 (1): 7–29.
   Google Scholar
• Frenzel, A. C., R. Pekrun, and T. Goetz. 2007. “Girls and Mathematics – A ‘Hopeless’ Issue? A Control-Value Approach to Gender Differences in Emotions Towards Mathematics.” European Journal of Psychology of Education 22 (4): 497–514. doi: 10.1007/BF03173468
   Web of Science ®Google Scholar
• Galton, M., L. Hargreaves, and T. Pell. 2003. “Progress in the Middle Years of Schooling: Continuities and Discontinuities at Transfer.” Education 3-13 31 (2): 9–18. doi: 10.1080/03004270385200161
   Google Scholar
• Galton, M., I. Morrison, and T. Pell. 2000. “Transfer and Transition in English Schools: Reviewing the Evidence.” International Journal of Educational Research 33: 341–363. doi: 10.1016/S0883-0355(00)00021-5
   Google Scholar
• Grootenboer, P., and M. Marshman. 2016. Mathematics, Affect and Learning: Middle School Students’ Beliefs and Attitudes About Mathematics Education. Singapore: Springer.
   Google Scholar
• Gueudet, G. 2008. “Investigating the Secondary-Tertiary Transition.” Educational Studies in Mathematics 67 (3): 237–254. doi: 10.1007/s10649-007-9100-6
   Google Scholar
• Gueudet, G., M. Bosch, A. A. diSessa, O. N. Kwon, and L. Verschaffel. 2016. Transitions in Mathematics Education (ICME-13 Topical Surveys). Basel: Springer.
   Google Scholar
• Hannula, M. S., E. Bofah, L. Tuohilampi, and J. Mestämuuronen. 2014. “A Longitudinal Analysis of the Relationship Between Mathematics-Related Affect and Achievement in Finland.” In Proceedings of the 38th conference of the international group for the psychology of mathematics education and the 36th conference of the North American chapter of the Psychology of Mathematics Education (vol. 3), edited by S. Oesterle, P. Liljedahl, C. Nicol, and D. Allan, 249–256. Vancouver: PME.
   Google Scholar
• Hopwood, B., I. Hay, and J. Dyment. 2016. “The Transition From Primary to Secondary School: Teachers’ Perspectives.” The Australian Educational Researcher 43 (3): 289–307. doi: 10.1007/s13384-016-0200-0
   Web of Science ®Google Scholar
• Howe, A., and V. Richards. 2011. Bridging the Transition From Primary to Secondary School. Abingdon: Routledge.
   Google Scholar
• Jindal-Snape, D., and D. Miller. 2008. “A Challenge of Living? Understanding the Psycho-Social Processes of the Child During Primary-Secondary Transition Through Resilience and Self-Esteem Theories.” Educational Psychology Review 20 (3): 217–236. doi: 10.1007/s10648-008-9074-7
   Web of Science ®Google Scholar
• Ma, X., and N. Kishor. 1997. “Assessing the Relationship Between Attitude Toward Mathematics and Achievement in Mathematics: A Meta-Analysis.” Journal for Research in Mathematics Education 28 (1): 26–47. doi: 10.2307/749662
   Web of Science ®Google Scholar
• Martin, A. J., J. Way, J. Bobis, and J. Anderson. 2015. “Exploring the ups and Downs of Mathematics Engagement in the Middle Years of School.” Journal of Early Adolescence 35 (2): 199–244. doi: 10.1177/0272431614529365
   Web of Science ®Google Scholar
• Nicholls, G., and J. Gardner. 1999. Pupils in Transition. Abingdon: Routledge.
   Google Scholar
• Otis, N., F. Grouzet, and L. G. Pelletier. 2005. “Latent Motivational Change in an Academic Setting: A 3-Year Longitudinal Study.” Journal of Educational Psychology 97 (2): 170–183. doi: 10.1037/0022-0663.97.2.170
   Web of Science ®Google Scholar
• O’Toole, L., N. Hayes, and M. Mhic Mhathúna. 2014. “A bio-Ecological Perspective on Educational Transition.” Procedia – Social and Behavioral Sciences 140: 121–127. doi: 10.1016/j.sbspro.2014.04.396
   Google Scholar
• Paul, M. 2014. “Managing the Transition From Primary School Mathematics to Secondary School Mathematics: Teachers’ and Learners’ Perspectives.” Mediterranean Journal of Social Sciences 5 (25): 205–215.
   Google Scholar
• Rice, F., N. Frederickson, and J. Seymour. 2011. “Assessing Pupil Concerns About Transition to Secondary School.” British Journal of Educational Psychology 81 (2): 244–263. doi: 10.1348/000709910X519333
   PubMed Web of Science ®Google Scholar
• Ryan, A. M., S. S. Shim, and K. A. Makara. 2013. “Changes in Academic Adjustment and Relational Self-Worth Across the Transition to Middle School.” Journal of Youth and Adolescence 42 (9): 1372–1384. doi: 10.1007/s10964-013-9984-7
   PubMed Web of Science ®Google Scholar
• Sdrolias, K. A., and T. A. Triandafillidis. 2008. “The Transition to Secondary School Geometry: can There be a ‘Chain of School Mathematics’?” Educational Studies in Mathematics 67 (2): 159–169. doi: 10.1007/s10649-007-9093-1
   Google Scholar
• Shulman, L. S. 1986. “Those who Understand: Knowledge Growth in Teaching.” Educational Researcher 15 (2): 4–14. doi: 10.3102/0013189X015002004
   Google Scholar
• Sutherland, R., W. Ching Yee, E. McNess, and R. Harris. 2010. Supporting Learning in the Transition From Primary to Secondary Schools. Bristol: University of Bristol. http://www.bristol.ac.uk/media-library/sites/education/migrated/documents/transition-bristoluniversity.pdf.
   Google Scholar
• Topping, K. 2011. “Primary-secondary Transition: Differences Between Teachers’ and Childrens’ Perceptions.” Improving Schools 14 (3): 268–285. doi: 10.1177/1365480211419587
   Google Scholar
• Vale, C., M. Weaven, A. Davies, N. Hooley, K. Davidson, and D. Loton. 2013. “Growth in Literacy and Numeracy Achievement: Evidence and Explanations of a Summer Slowdown in low Socio-Economic Schools.” The Australian Educational Researcher 40 (1): 1–25. doi: 10.1007/s13384-012-0065-9
   Web of Science ®Google Scholar
• Valero, P. 2017. “Mathematics for all, Economic Growth, and the Making of the Citizen-Worker.” In Political Sociology and Transnational Educational Studies: The Styles of Reason Governing Teaching, Curriculum and Teacher Education, edited by T. S. Popkewitz, J. Diaz, and C. Kirchgasler, 117–132. New York, NY: Routledge.
   Google Scholar
• Whitley, J., J. L. Lupart, and T. Beran. 2007. “Differences in Achievement Between Adolescents who Remain in a K-8 School and Those who Transition to a Junior High School.” Canadian Journal of Education 30 (3): 649–669. doi: 10.2307/20466657
   Google Scholar
• Wigfield, A., A. Battle, L. B. Keller, and J. S. Eccles. 2002. “Sex Differences in Motivation, Self-Concept, Career Aspiration, and Career Choice: Implications for Cognitive Development.” In Biology, Society, and Behavior: The Development of sex Differences in Cognition, edited by A. McGillicuddy-De Lisi and R. De Lisi, 93–124. Westport, CT: Ablex.
   Google Scholar
• Witt, M. 2011. “Mathematics and Transition.” In Bridging the Transition From Primary to Secondary School, edited by A. Howe and V. Richards, 88–98. Abingdon: Routledge.
   Google Scholar
• Yee, L. S. 2010. “Mathematics Attitudes and Achievement of Junior College Students in Singapore.” In Shaping the future of mathematics education: Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia, edited by L. Sparrow, B. Kissane, and C. Hurst, 681–688. Fremantle: MERGA.
   Google Scholar