• https://spadav2.unikal.ac.id/lang/paito-hk/
  • Sbotop
  • http://fairplay.uho.ac.id/lapas/sensus/
  • https://theoejwilson.com/
  • https://penkopjurnal.uho.ac.id/cokky/cheat/
  • slot demo
  • iblis merah hack
  • https://prologue.sastra.uniba-bpn.ac.id/js/idslot/
  • alexis toto
  • Robot Merah Hack
  • pusat maxwin
  • santuy4d
  • https://spada.ppg.ung.ac.id/mod/sthai/
  • https://simlinmas.kemendagri.go.id/web/xgacor/
  • https://conference.uhnsugriwa.ac.id/pages/tslot/
  • http://jiseafa.lppm.unand.ac.id/js/demo-slot/
  • http://jiseafa.lppm.unand.ac.id/js/slotraf/
  • turbox500
  • Lapak Cheat
  • Lucky RP
  • https://www.ies.ftk.uinjambi.ac.id/pages/dewa288/
  • https://ett.ftk.uinjambi.ac.id/pages/ligaciputra/
  • https://rechtenstudent.uinkhas.ac.id/pages/scatter/
  • http://elearning.wisnuwardhana.ac.id/mod/santuymax/
  • https://jikesi.fk.unand.ac.id/js/bni4d/
  • https://elearning.pranataindonesia.ac.id/course/santuy4d/
  • http://ijsab.fateta.unand.ac.id/lib/pkp/zara4d/
  • Garudaslot
  • https://jikesi.fk.unand.ac.id/assets/wdbos/
  • slot thailand
  • https://e-journal.usd.ac.id/lib/pkp/scatter/
  • https://lexeconomicajournal.uinkhas.ac.id/pages/garudaslot/
  • garuda slot
  • garudaslot
  • UNDERGRADUATE MATHEMATICS STUDENTS' UNDERSTANDING OF THE CONCEPT OF FUNCTION | Bardini | Journal on Mathematics Education

    UNDERGRADUATE MATHEMATICS STUDENTS' UNDERSTANDING OF THE CONCEPT OF FUNCTION

    Caroline Bardini, Robyn Pierce, Jill Vincent, Deborah King

    Abstract


    Concern has been expressed that many commencing undergraduate mathematics students have mastered skills without conceptual understanding. A pilot study carried out at a leading Australian university indicates that a significant number of students, with high tertiary entrance ranks, have very limited understanding of the concept of function, despite the emphasis it receives in the secondary mathematics curriculum. Whilst most students were familiar with families of functions, many were unable to give an appropriate definition or recognize whether a given graph or rule represents a function; and could not make correct connections between function graphs and tables of values.

    Keywords: Algebra, Functions, Secondary School Mathematics, Undergraduate Mathematics


    Full Text:

    PDF

    References


    Blume, G. & Heckman, D. (1997). What do students know about algebra and functions? In P. Kenney

    & E. Silver (Eds.), Results from the Sixth Mathematics Assessment of the National Assessment

    of Educational Progress, pp. 225–277. Reston, VA: National Council of Teachers of

    Mathematics.

    Bridger, M. & Bridger, M. (2001). Mapping diagrams: another view of functions. In A. Cuoco & F. R.

    Curcio (Eds.), The roles of representation in school mathematics, pp. 103–116. Reston, VA:

    National Council of Teachers of Mathematics.

    Carlson, M. P. (1998). A crossâ€sectional investigation of the development of the function concept.

    Research in Collegiate Mathematics Education III, Conference Board of the Mathematical

    Sciences, Issues in Mathematics Education, 7(2), 114–162.

    Clement, L. (2001). What do students really know about functions? Mathematics Teacher, 94(9), 745–

    Cooney, T. J. & Wilson, M. J. (1993). Teachers thinking about functions: Historical and research

    perspectives. In T. A. Romberg, E. Fennema & T. P. Carpenter. Integrating research on the

    graphical representation of functions (pp. 131–158). Mahwah, NJ: Lawrence Erlbaum.

    Eisenberg, T. (1992). On the development of a sense for functions. In E. Dubinsky & G. Harel (Eds.),

    The concept of function: Aspects of epistemology and pedagogy (pp. 153–174).

    Kieran, C. (1993). Functions, graphing, and technology: Integrating research on learning and

    instruction. In T. Carpenter, E. Fennema, & T. Romberg (Ed.), Integrating research in the

    graphical representation of functions, pp.189–237. Hillsdale, NJ: Erlbaum.

    Kieran, C. & Yerushalmy, M. (2004). Computer algebra systems and algebra: Curriculum, assessment,

    teaching, and learning. In K. Stacey, H. Chick, & M. Kendal (Eds.), The Future of the Teaching

    and Learning of Algebra: The 12th ICMI study (pp. 99-154). Norwood, MA: Kluwer Academic

    Publishers.

    Kleiner, I. (1989). Evolution of the function concept: a brief survey. The College Mathematics

    Journal, 20(4), 282–300.

    Knuth, E. (2000). Understanding connections between equations and graphs, The Mathematics

    Teacher, 93(1), January 2000, pp. 48–53.

    Norman, A. (1992). Teachers’ mathematical knowledge of the concept of function. In E. Dubinsky &

    G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy, pp. 215–58.

    Washington, DC: The Mathematical Association of America.

    Oehrtman, M. C., Carlson, M. P., & Thompson, P. W. (2008). Foundational reasoning abilities that

    promote coherence in students’ understandings of function. In M. P. Carlson & C. Rasmussen

    (Eds.), Making the connection: Research and practice in undergraduate mathematics, pp. 150–

    . Washington, DC: Mathematical Association of America.

    Sierpinska, A. (1992). On understanding the notion of function. In E. Dubinsky & G. Harel (Eds.), The

    concept of function: Aspects of epistemology and pedagogy, pp. 22–58. Washington, DC: The

    Mathematical Association of America.

    Tall, D. & Bakar, N. (1991). Students’ mental prototypes for functions and graphs. In P. Boero & F.

    Furinghetti (Eds.), Proceedings of PME 15, Assisi, Vol. 1, pp. 104–111. Assisi: Program

    Committee of the 15th PME Conference.

    Thompson, P. W. (1994). Students, functions, and the undergraduate curriculum. In E. Dubinsky, A.

    H. Schoenfeld, & J. J. Kaput (Eds.), Research in Collegiate Mathematics Education, 1 (Issues in

    Mathematics Education, Vol. 4, pp. 21–44). Providence, RI: American Mathematical Society.

    Vinner, S. & Dreyfus, T. (1989). Images and definitions for the concept of function. Journal for

    Research in Mathematics Education, 20(4), 356–366.

    Zbiek, R. M., Heid, M. K., Blume, G. W., & Dick, T. (2007). Research on technology in mathematics

    education: A perspective of constructs. In F. Lester (Ed.), Second handbook of research on

    mathematics teaching and learning. (pp. 1169-1207). Charlotte, NC: Information Age




    DOI: https://doi.org/10.22342/jme.5.2.1495.85-107

    Refbacks

    • There are currently no refbacks.





    Journal on Mathematics Education
    Doctoral Program on Mathematics Education
    Faculty of Teacher Training and Education, Universitas Sriwijaya
    Kampus FKIP Bukit Besar
    Jl. Srijaya Negara, Bukit Besar
    Palembang - 30139
    email: jme@unsri.ac.id

    p-ISSN: 2087-8885 | e-ISSN: 2407-0610

    Creative Commons License
    Journal on Mathematics Education (JME) is licensed under a Creative Commons Attribution 4.0 International License.


    View My Stats