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Regular Articles

Conceptual and procedural approaches to mathematics in the engineering curriculum: views of qualified engineersFootnote*

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Pages 570-586 | Received 28 Aug 2016, Accepted 11 Jun 2017, Published online: 26 Jun 2017

References

  • Alpers, B. 2010. “Studies on the Mathematical Expertise of Mechanical Engineers.” Journal of Mathematical Modelling and Application 1 (3): 2–17.
  • Alpers, B. 2013a. “The SEFI Mathematics Working Group’s New Curriculum Framework Document.” In Proceedings from the 41th SEFI Conference, 16–20 September 2013, Leuven, Belgium, edited by L. Froyen. Leuven: SEFI, European Association for Engineering Education.
  • Alpers, B., ed. 2013b. “A Framework for Mathematics Curricula in Engineering Education.” A Report of the Mathematics Working Group, European Society for Engineering Education (SEFI), Brussels.
  • Artigue, M. 2007. “Digital Technologies: A Window on Theoretical Issues in Mathematics Education.” In European Research in Mathematics Education V. Proceedings of CERME6, edited by D. Pitta-Pantazi, and G. Philippou, 68–82. Larnaca: University of Cyprus.
  • Baroody, A. J., Y. Feil, and A. R. Johnson. 2007. “An Alternative Reconceptualization of Procedural and Conceptual Knowledge.” Journal for Research in Mathematics Education 38 (2): 115–131.
  • Bergsten, C., J. Engelbrecht, and O. Kågesten. 2015. “Conceptual or Procedural Mathematics for Engineering Students – Views of Two Qualified Engineers from Two Countries.” International Journal of Mathematics Education in Science and Technology 46 (7): 979–990. doi: 10.1080/0020739X.2015.1075615
  • Bergsten, C., J. Engelbrecht, and O. Kågesten. 2017. “Conceptual and Procedural Approaches to Mathematics in the Engineering Curriculum – A Comparison Between Conceptions and Performance of Junior and Senior Engineering Students in Two Countries.” Eurasia Journal of Mathematics, Science and Technology Education 33 (3): 533–553.
  • Braun, V., and V. Clarke. 2006. “Using Thematic Analysis in Psychology.” Qualitative Research in Psychology 3 (2): 77–101. doi: 10.1191/1478088706qp063oa
  • Brown, S., A. Seidelmann, and G. Zimmermann. 2006. “In the Trenches: Three Teachers’ Perspectives on Moving Beyond the Math Wars.” Resource Document. Mathematically sane. http://omca-outreach.wikispaces.com/.
  • Bryman, A. 2004. Social Research Methods (2nd ed.). Oxford: Oxford University Press.
  • Cardella, M. E. 2008. “Which Mathematics Should We Teach Engineering Students? An Empirically Grounded Case for a Broad Notion of Mathematical Thinking.” Teaching Mathematics and Its Applications 27 (3): 150–159. doi: 10.1093/teamat/hrn008
  • Chappell, K. K., and K. Killpatrick. 2003. “Effects of Concept-based Instruction on Students’ Conceptual Understanding and Procedural Knowledge of Calculus.” Primus 13 (1): 17–37. doi: 10.1080/10511970308984043
  • Chundi, A. 2013. “8 Most Important Skills Required for an Engineer.” http://www.skyfilabs.com/blog/8-most-important-skills-required-for-an-engineer.
  • Crawley, E. F. 2001. “The CDIO Syllabus: A Statement of Goals for Undergraduate Engineering Education.” Department of Aeronautics and Astronautics, Massachusetts Institute of Technology. Accessed March 25, 2016. http://www.cdio.org/files/CDIO_Syllabus_Report.pdf.
  • Engelbrecht, J., C. Bergsten, and O. Kågesten. 2009. “Undergraduate Students’ Preference for Procedural to Conceptual Solutions to Mathematical Problems.” International Journal of Mathematics Education in Science and Technology 40 (7): 927–940. doi: 10.1080/00207390903200968
  • Engelbrecht, J., C. Bergsten, and O. Kågesten. 2012. “Conceptual and Procedural Approaches to Mathematics in the Engineering Curriculum: Student Conceptions and Performance.” Journal of Engineering Education 101 (1): 138–162. doi: 10.1002/j.2168-9830.2012.tb00045.x
  • Flegg, J., D. Mallet, and M. Lupton. 2012. “Students’ Perceptions of the Relevance of Mathematics in Engineering.” International Journal of Mathematical Education in Science and Technology 43 (6): 717–732. doi: 10.1080/0020739X.2011.644333
  • Gainsburg, J. 2015. “Engineering Students’ Epistemological Views on Mathematical Methods in Engineering.” Journal of Engineering Education 104 (2): 139–166. doi: 10.1002/jee.20073
  • Goold, E. 2014. “Putting Mathematics ‘into a Form that a Non-Engineer Will Understand’.” SEFI 2014 Annual Conference: Educating Engineers for Global Competitiveness. Birmingham, UK.
  • Grimson, J. 2002. “Re-Engineering the Curriculum for the 21st Century.” European Journal of Engineering Education 27 (1): 31–37. doi: 10.1080/03043790110100803
  • Groth, R. E., and J. A. Bergner. 2006. “Preservice Elementary Teachers’ Conceptual and Procedural Knowledge of Mean, Median, and Mode.” Mathematical Thinking and Learning 8 (1): 37–63. doi: 10.1207/s15327833mtl0801_3
  • Henderson, S., and P. Broadbridge. 2009. “Engineering Mathematics Education in Australia.” MSOR Connections 9 (1): 12–17. Accessed March 25, 2016. https://www.heacademy.ac.uk/engineering-mathematics-education-australia. doi: 10.11120/msor.2009.09010012
  • Hiebert, J., and T. Carpenter. 1992. “Learning and Teaching with Understanding.” In Handbook of Research on Mathematics Teaching and Learning, edited by D. Grouws, 65–97. New York: Macmillan.
  • Hiebert, J., and P. Lefevre. 1986. “Procedural and Conceptual Knowledge in Mathematics: An Introductory Analysis.” In Conceptual and Procedural Knowledge: The Case of Mathematics, edited by J. Hiebert, 1–27. Hillsdale, NJ: Erlbaum.
  • Houston, K., G. Mather, L. N. Wood, P. Petocz, A. Reid, A. Harding, J. Engelbrecht, and G. Smith. 2010. “Is There Life After Modelling? Student Conceptions of Mathematics.” Mathematics Education Research Journal 22 (2): 69–80. doi: 10.1007/BF03217566
  • Håstad, M. 1968. “Mathematics and Engineers.” Educational Studies in Mathematics 1: 93–97. doi: 10.1007/BF00426235
  • Hult, H., M. A. Dahlgren, L. O. Dahlgren, and H. Hård af Segerstad 2003. “Freshmen’s and Seniors’ Thoughts about Education, Professional Identity, and Work.” Australian Association for Research in Education Conference, 2003. Accessed March 25, 2016. http://www.aare.edu.au/data/publications/2003/dah03725.pdf.
  • Kent, P., and R. Noss. 2003. “Mathematics in the University Education of Engineers.” Ove Arup Foundation Report, Ove Arup Foundation London. Accessed March 25, 2016. http://www.lkl.ac.uk/research/REMIT/Kent-Noss-report-Engineering-Maths.pdf.
  • Kieran, C. 2013. “The False Dichotomy in Mathematics Education Between Conceptual Understanding and Procedural Skills: An Example from Algebra.” In Vital Directions for Mathematics Education Research, edited by K. R. Leatham, 153–171. New York: Springer.
  • Klingbeil, N. W., R. E. Mercer, K. S. Rattan, M. L. Raymer, and D. B. Reynolds. 2005. “The WSU Model for Engineering Mathematics Education.” Proceedings of the 2005 American Society for Engineering Education Annual Conference & Exposition. Accessed March 17, 2015. http://corescholar.libraries.wright.edu/cgi/viewcontent.cgi?article=2300&context=knoesis.
  • Lappalainen, P. 2009. “Communication as Part of the Engineering Skills Set.” European Journal of Engineering Education 34 (2): 123–129. doi: 10.1080/03043790902752038
  • Markes, I. 2006. “A Review of Literature on Employability Skill Needs in Engineering.” European Journal of Engineering Education 31 (6): 637–650. doi: 10.1080/03043790600911704
  • Nair, C. S., A. Patil, and P. Mertova. 2009. “Re-engineering Graduate Skills.” European Journal of Engineering Education 34 (2): 131–139. doi: 10.1080/03043790902829281
  • Nguyen, D. Q. 1998. “The Essential Skills and Attributes of an Engineer: A Comparative Study of Academics, Industry Personnel and Engineering Students.” Global Journal of Engineering Education 2 (1): 65–79.
  • Peled, I., and O. Zaslavski. 2008. “Beyond Local Conceptual Connections: Meta-Knowledge about Procedures.” Learning Mathematics 28 (3): 28–35.
  • Perdigones, A., E. Gallego, N. García, P. Fernández, E. Pérez-Mártin, and J. Del Cerro. 2014. “Physics and Mathematics in the Engineering Curriculum: Correlation with Applied Subjects.” International Journal of Engineering Education 30 (6A): 1509–1521.
  • Petocz, P., A. Reid, L. N. Wood, G. H. Smith, G. Mather, A. Harding, J. Engelbrecht, K. Houston, J. Hillel, and G. Perrett. 2007. “Undergraduate Students’ Conceptions of Mathematics: An International Study.” International Journal of Science and Mathematics Education 5 (3): 439–459. doi: 10.1007/s10763-006-9059-2
  • Radu, M. 2002. “Basic Skills Versus Conceptual Understanding in Mathematics Education: The Case of Fractions and Division. A Reply to Hung-Hsi Wu.” ZDM 34 (3): 93–95.
  • Rittle-Johnson, B., and M. Schneider. 2015. ““Developing Conceptual and Procedural Knowledge of Mathematics.” In Oxford Handbook of Numerical Cognition, edited by R. Cohen Kadosh, and A. Dowker, 1118–1134. Oxford: Oxford University Press.
  • Rittle-Johnson, B., R. S. Siegler, and M. W. Alibali. 2001. “Developing Conceptual Understanding and Procedural Skill in Mathematics: An Iterative Process.” Journal of Educational Psychology 93: 346–362. doi: 10.1037/0022-0663.93.2.346
  • Star, J. R. 2005. “Reconceptualizing Procedural Knowledge.” Journal for Research in Mathematics Education 36 (5): 404–411.
  • Vest, D., M. Long, and T. Anderson. 1996. “Electrical Engineers’ Perceptions of Communication Training and Their Recommendations for Curricular Change: Results of a National Survey.” IEEE Transactions on Professional Communication 39 (1): 38–42. doi: 10.1109/47.486046
  • Winkelman, P. 2009. “Perceptions of Mathematics in Engineering.” European Journal of Engineering Education 34 (4): 305–316. doi: 10.1080/03043790902987378
  • Wood, L. N. 2010. “Graduate Capabilities: Putting Mathematics into Context.” International Journal of Mathematical Education in Science and Technology 41 (2): 189–198. doi: 10.1080/00207390903388607
  • Wood, L. N., G. Mather, P. Petocz, A. Reid, J. Engelbrecht, A. Harding, K. Houston, G. Smith, and G. Perret. 2012. “University Students’ Views of the Role of Mathematics in their Future.” International Journal of Science and Mathematics Education 10 (1): 99–119. doi: 10.1007/s10763-011-9279-y
  • Wood, L. N., and I. Solomonides. 2008. “Different Disciplines, Different Transitions.” Mathematics Education Research Journal 20 (2): 117–134. doi: 10.1007/BF03217481
  • Wu, H. 1999. “Basic Skills Versus Conceptual Understanding: A Bogus Dichotomy in Mathematics Education.” American Educator, Fall 1999. Resource document. AFT, A Union of Professionals. Accessed March 10, 2015. www.aft.org/pdfs/americaneducator/fall1999/wu.pdf.

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