1,971
Views
2
CrossRef citations to date
0
Altmetric
Articles

Factors supporting and inhibiting teachers’ use of manipulatives around the primary to post-primary education transition

ORCID Icon, ORCID Icon & ORCID Icon
Pages 1006-1028 | Received 19 Jul 2019, Published online: 17 Mar 2020

References

  • Adler, J. (2011). Knowledge resources in and for school mathematics teaching. In G. Gueudet, B. Pepin, & L. Trouche (Eds.), From text to ‘lived’ resources (pp. 3–22). Springer.
  • Ambrose, R. C. (2002). Are we overemphasizing manipulatives in the primary grades to the detriment of girls? Teaching Children Mathematics, 9(1), 16–22.
  • Anderson, L. W., Jacobs, J., Schramm, S., & Splittgerber, F. (2000). School transitions: Beginning of the end or a new beginning? International Journal of Educational Research, 33(4), 325–339. https://doi.org/10.1016/S0883-0355(00)00020-3
  • Attard, C. (2010). Students’ experiences of mathematics during the transition from primary to secondary school. Mathematics Education Research Group of Australasia, 53–60.
  • Baroody, A. J. (1989). Manipulatives don’t come with guarantees. The Arithmetic Teacher, 37(2), 4–5.
  • Benavot, A., & Amadi, M. (2004). A Global Study of Intended Instruction Time and Official School Curricula, 1980-2000. Background paper commissioned by the International Bureau of Education for the UNESCO-EFA Global Monitoring Report (2005). The Quality Imperative. IBE.
  • Beswick, K., Swabey, K., & Andrew, R. (2008). Looking for attributes of powerful teaching for numeracy in Tasmanian K-7 classrooms. Mathematics Education Research Journal, 20(1), 3–31. https://doi.org/10.1007/BF03217467
  • Bicknell, B., Burgess, T., & Hunter, R. (2009). Explorations of Year 8 to Year 9 transition in mathematics. Findings from the New Zealand numeracy development projects, 145–157.
  • Borko, H., Eisenhart, M., Brown, C. A., Underhill, R. G., Jones, D., & Agard, P. C. (1992). Learning to teach hard mathematics: Do novice teachers and their instructors give up too easily? Journal for Research in Mathematics Education, 23(3), 194–222. https://doi.org/10.2307/749118
  • Bruner, J. S. (1966). Toward a theory of instruction. Norton.
  • Carbonneau, K. J., Marley, S. C., & Selig, J. P. (2013). A meta-analysis of the efficacy of teaching mathematics with concrete manipulatives. Journal of Educational Psychology, 105(2), 380–400. https://doi.org/10.1037/a0031084
  • Çepni, S., Özsevgec, T., & Cerrah, L. (2004). Turkish middle school students' cognitive development levels in science. Asia–Pacific Forum on Science Learning and Teaching, 5(1), article 1, 1–24.
  • Clerkin, A. (2012). Personal development in secondary education: The Irish transition year. Education Policy Analysis Archives, 20, 38. https://doi.org/10.14507/epaa.v20n38.2012
  • Department of Education and Skills. (1999). Primary school curriculum: Mathematics. The Stationary Press.
  • Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In P. Ernest (Ed), Mathematics teaching: The state of the art (pp. 249–254). Falmer Press.
  • Fives, H., & Buehl, M. M. (2012). Spring cleaning for the ‘‘messy’’ construct of teachers’ beliefs: What are they? Which have been examined? What can they tell us? In K. R. Harris, S. Graham, & T. Urdan (Eds.), APA educational psychology handbook, Vol. 2: Individual differences and cultural and contextual factors (pp. 471–499). American Psychological Association.
  • Fröbel, F., & Lilley, I. M. (1967). Friedrich Froebel. Cambridge University Press.
  • Galton, M., Gray, J., & Rudduck, J. (1999). The impact of school transitions and transfers on pupil progress and attainment. DfEE.
  • Galton, M., Morrison, I., & Pell, T. (2000). Transfer and transition in English schools: Reviewing the evidence. International Journal of Educational Research, 33(4), 341–363. https://doi.org/10.1016/S0883-0355(00)00021-5
  • Gilbert, R. K., & Bush, W. S. (1988). Familiarity, availability, and use of manipulative devices in mathematics at the primary level. School Science and Mathematics, 88(6), 459–469. https://doi.org/10.1111/j.1949-8594.1988.tb11838.x
  • Grootenboer, P., & Marshman, M. (2015). Mathematics, affect and learning: Middle school students’ beliefs and attitudes about mathematics education. Springer.
  • Guerriero, S. (2017). Pedagogical knowledge and the changing nature of the teaching Profession. Educational Research and Innovation, OECD Publishing. https://doi.org/10.1787/9789264270695-en.
  • Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the national council of teachers of mathematics (pp. 65–97). Macmillan Publishing Co, Inc.
  • Hopwood, B., Hay, I., & Dyment, J. (2016). The transition from primary to secondary school: Teachers’ perspectives. The Australian Educational Researcher, 43(3), 289–307. https://doi.org/10.1007/s13384-016-0200-0
  • Jackson, R. (1979). Hands-on math: Misconceptions and abuses. Learning, 7(5), 76–78.
  • Kamii, C., & Warrington, M. A. (1999). Teaching fractions: Fostering children's own reasoning, In L. V. Stiff & F. R. Curchio (Eds), Developing mathematical reasoning in grades K-12:1999 NCTM Yearbook (pp. 82–92). NCTM.
  • Loewenberg Ball, D. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90(4), 449–466. https://doi.org/10.1086/461626
  • Loewenberg Ball, D., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching. Journal of Teacher Education, 59(5), 389–407. https://doi.org/10.1177/0022487108324554
  • Martin, T., & Schwartz, D. L. (2005). Physically distributed learning: Adapting and reinterpreting physical environments in the development of fraction concepts. Cognitive Science, 29(4), 587–625. https://doi.org/10.1207/s15516709cog0000_15
  • McCormack, L., Finlayson, O. E., & McCloughlin, T. J. J. (2014). The CASE programme implemented across the primary and secondary school transition in Ireland. International Journal of Science Education, 36(17), 2892–2917. https://doi.org/10.1080/09500693.2014.938711
  • McGee, C., Ward, R., Gibbons, J., & Harlow, A. (2003). Transition to secondary school: A literature review. A report to the Ministry of Education, University of Waikato.
  • MDT. (2016). First year teacher handbook (draft). https://www.projectmaths.ie/wp-content/uploads/2015/01/1st-Year-Handbook-July-2016.pdf.
  • Moyer, P. S., Bolyard, J. J., & Spikell, M. A. (2002). What are virtual manipulatives? Teaching Children Mathematics, 8(6), 372–377.
  • Moyer, P. S., & Jones, M. G. (2004). Controlling choice: Teachers, students, and manipulatives in mathematics classrooms. School Science and Mathematics, 104(1), 16–31. https://doi.org/10.1111/j.1949-8594.2004.tb17978.x
  • Moyer, P. S., Salkind, G., & Bolyard, J. J. (2008). Virtual manipulatives used by K-8 teachers for mathematics instruction: The influence of mathematical, cognitive, and pedagogical fidelity. Contemporary Issues in Technology and Teacher Education, 8(3), 202–218.
  • National Council for Curriculum and Assessment (NCCA). (1999a). Primary school curriculum: Mathematics. Stationary Office.
  • National Council for Curriculum and Assessment (NCCA). (1999b). Primary school curriculum: Teacher guidelines. Stationary Office.
  • National Research Council. (2001). Adding it up: Helping children learn mathematics. National Academy Press.
  • Ní Ríordáin, M., & Hannigan, A. (2009). Out-of-field teaching in post-primary mathematics education: An analysis of the Irish context: A research report. National Centre for Excellence in Mathematics and Science Teaching and Learning.
  • O'Meara, N., Johnson, P., & Leavy, A. (2019). A comparative study investigating the use of manipulatives at the transition from primary to post-primary education. International Journal of Mathematical Education in Science and Technology, 1–23. https://doi.org/10.1080/0020739X.2019.1634842.
  • O'Meara, N., Prendergast, M., Cantley, I., Harbison, L., & O'Hara, C. (2019). Teachers' self-perceptions of mathematical knowledge for teaching at the transition between primary and post-primary school. International Journal of Mathematical Education in Science and Technology, 1–23. https://doi.org/10.1080/0020739X.2019.1589004.
  • Organisation for Economic Co-operation and Development (OECD). (2018). Education at a Glance 2018: OECD indicators. OECD Publishing.
  • 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. http://dx.doi.org/10.5901/mjss.2014.v5n25p205.
  • Phelps, G., Corey, D., DeMonte, J., Harrison, D., & Loewenberg Ball, D. (2012). How much English language arts and mathematics instruction do students receive? Investigating variation in instructional time. Educational Policy, 26(5), 631–662. https://doi.org/10.1177/0895904811417580
  • Philippou, G. N., & Christou, C. (1998). The effects of a preparatory mathematics program in changing prospective teachers’ attitudes towards mathematics. Educational Studies in Mathematics, 35, 189–206. https://doi.org/10.1023/A:1003030211453
  • Piaget, J. (1976). Piaget's theory. In B. Inhelder, H. H. Chipman & C. Zwingmann (Eds), Piaget and his school. Springer Study Edition. Springer. https://doi.org/10.1007/978-3-642-46323-5_2.
  • Prendergast, M., & O'Meara, M. (2017). A profile of mathematics instruction time in Irish second level schools. Irish Educational Studies, 36(2), 133–150. https://doi.org/10.1080/03323315.2016.1229209.
  • Prophet, R. B., & Vlaardingerbroek, B. (2003). The relevance of secondary school chemistry education in Botswana: A cognitive development status perspective. International Journal of Educational Development, 23(3), 275–289. https://doi.org/10.1016/S0738-0593(02)00056-1
  • Puchner, L., Taylor, A., O’Donnell, B., & Fick, K. (2008). Teacher learning and mathematics manipulatives: A collective case study about teacher use of manipulatives in elementary and middle school mathematics lessons. School Science and Mathematics, 108(7), 313–325. https://doi.org/10.1111/j.1949-8594.2008.tb17844.x
  • Rittle-Johnson, B., & Koedinger, K. R. (2005). Designing knowledge scaffolds to support mathematical problem solving. Cognition and Instruction, 23(3), 313–349. https://doi.org/10.1207/s1532690xci2303_1
  • Ryan, V. (2018). Making the transition: A student’s mathematical journey from primary to post-primary school in Ireland [Unpublished doctoral dissertation]. University of Limerick.
  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. https://doi.org/10.3102/0013189X015002004
  • Sowell, E. J. (1989). Effects of manipulative materials in mathematics instruction. Journal for Research in Mathematics Education, 20(5), 498–505. https://doi.org/10.2307/749423
  • Stipek, D. J., Givvin, K. B., Salmon, J. M., & MacGyvers, V. L. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17(2), 213–226. https://doi.org/10.1016/S0742-051X(00)00052-4
  • Thompson, P. W. (1992). Notations, conventions, and constraints: Contributions to effective uses of concrete materials in elementary mathematics. Journal for Research in Mathematics Education, 23(2), 123–147. https://doi.org/10.2307/749497
  • Uribe-Flórez, L. J., & Wilkins, J. L. M. (2010). Elementary school teachers’ manipulative use. School Science and Mathematics, 110(7), 363–371. https://doi.org/10.1111/j.1949-8594.2010.00046.x
  • Uttal, D. H., Scudder, K. V., & DeLoache, J. S. (1997). Manipulatives as symbols: A new perspective on the use of concrete objects to teach mathematics. Journal of Applied Developmental Psychology, 18(1), 37–54. https://doi.org/10.1016/S0193-3973(97)90013-7
  • Veal, W. R., & Flinders, D. J. (2001). How block scheduling reform effects classroom practice. The High School Journal, 84(4), 21–31. https://doi.org/10.1353/hsj.2001.0012
  • Ward, R. (2000). Transfer from middle to secondary school: A New Zealand study. International Journal of Educational Research, 33(4), 365–374. https://doi.org/10.1016/S0883-0355(00)00022-7
  • West, P., Sweeting, H., & Young, R. (2010). Transition matters: Pupils’ experiences of the primary–secondary school transition in the West of Scotland and consequences for well-being and attainment. Research Papers in Education, 25(1), 21–50. https://doi.org/10.1080/02671520802308677
  • Wilkins, J. L. M. (2008). The relationship among elementary teachers’ content knowledge, attitudes, beliefs, and practices. Journal of Mathematics Teacher Education, 11(2), 139–164. https://doi.org/10.1007/s10857-007-9068-2
  • Willingham, D. T. (2005). Ask the cognitive scientist. American Educator, 29(2), 31–35.
  • Zeedyk, M. S., Gallacher, J., Henderson, M., Hope, G., Husband, B., & Lindsay, K. (2003). Negotiating the transition from primary to secondary school: Perceptions of pupils, parents and teachers. School Psychology International, 24(1), 67–79. https://doi.org/10.1177/0143034303024001010

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.