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IISME 2014

IISME 2014. Not just another diagnostic test!. Michael Jennings School of Mathematics and Physics. B.Engineering Numbers. Source: UQ enrolment data. Figure 1. Year 12 Mathematics numbers 1995-2010 (Barrington, 2011). Figure 2. Year 12 Mathematics numbers 2009-2012 (Barrington, 2012).

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IISME 2014

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  1. IISME 2014 Not just another diagnostic test! Michael Jennings School of Mathematics and Physics

  2. B.Engineering Numbers Source: UQ enrolment data

  3. Figure 1. Year 12 Mathematics numbers 1995-2010 (Barrington, 2011)

  4. Figure 2. Year 12 Mathematics numbers 2009-2012 (Barrington, 2012)

  5. Figure 3. Qld numbers – Advanced Mathematics (QSA, 1992-2013)

  6. History of diagnostic testing at UQ • Leo Howard Test – 1972 to1994 • Paper test – 2007 • Online test – 2009 to present

  7. Current test – 2009 to present • UQ T&L grant – cross-discipline team led by A/Prof Lydia Kavanagh • Background questions • Learning approaches • F-10 maths & senior intermediate maths • Physics • Chemistry

  8. Current test – OLT grant • Led by USQ, involving UQ, UNE, UTS, and Unewcastle • http://getset.ceit.uq.edu.au/ • 20 maths questions • 18 MCQs, 2 enter the answer • Can’t remember & never seen before options

  9. Aim of the test • Is NOT to tell students how much they don’t know / forgotten • Is to gauge current mathematical understanding • Is to tell students what maths is used in their courses so they can choose the appropriate courses • Is to identify at-risk students

  10. Maths questions • 10 Junior mathematics • 10 Senior intermediate mathematics Q1. Simplify Q2. Simplify

  11. Maths questions Q3. Solve for x: Q4. Expand and simplify Q5. Factorise

  12. Maths questions Q6. Solve for x: Q7. Solve the simultaneous equations:2x – 3y = -5-3x + 2y = 10 Q8. Simplify

  13. Maths questions Q9. Stay cables are used to support a transmission tower. A surveyor standing at point B, 40m from the base of the tower, has measured the angle to the top of the tower as 60°. Write an expression for the height of the tower in terms of that angle. Q10. A straight line passes through the points (1,2) and (4,5). The equation for a straight line is: y = mx + b

  14. Mathsquestions Q11. Determine the first derivative of: • Q12. The population of a certain bacteria at the time t hours (t>0) is given by the equation below. At what time is the population at a minimum?

  15. Maths questions Q13. For the graph of y = f(x) shown below, f’(x) is negative over which interval? Q14. Simplify

  16. Maths questions Q15. Determine the first derivative of: Q16. Determine the first derivative of: Q17. Find the integral:

  17. Maths questions Q18. Evaluate the definite integral: Find the area of the shaded region that is bounded by the curve, the x-axis, the y-axis and the line x = 3, giving the answer to one decimal place.

  18. Results • Consistent over the years (Jennings, 2011) • Students who have done both intermediate and advanced maths (Maths B & C) at school do better • Senior topics not done as well as junior ones • Differentiation and integration • Correlation between test results, ATAR and success in first-year engineering

  19. 2009

  20. 2012 Results

  21. 2013

  22. Students’ thoughts (Burton et al, 2012)

  23. Feedback matrix • See accompanying pdf.

  24. Acknowledgements • The 2009 online diagnostic test was funded by a The University of Queensland Teaching and Learning grant. The project team was A/Prof Lydia Kavanagh (Faculty of Engineering, Architecture and Information Technology), Dr Liza O’Moore (School of Civil Engineering), Professor Peter Halley (School of Chemical Engineering), Professor Paul Lant (School of Chemical Engineering), Professor Peter Adams (Faculty of Science), Michael Jennings (School of Mathematics and Physics), Professor Lawrie Gahan (School of Chemistry & Molecular Biosciences) and Dr Anton Raynor (School of Mathematics and Physics), . • The OLT funded project involved USQ, UQ, UNE, UTS and UNewcastle. http://www.olt.gov.au/project-get-set-success-using-online-self-assessments-motivate-first-year-engineering-students-engag • The feedback matrix was designed by A/Prof Lydia Kavanagh (Faculty of Engineering, Architecture and Information Technology), Dr Liza O’Moore (School of Civil Engineering).

  25. References • Barrington, F. (2011). Participation in Year 12 Mathematics Across Australia 1995-2010. Australian Mathematical Sciences Institute (AMSI), Melbourne. • Barrington, F. (2012). Participation in Year 12 Mathematics Across Australia 1995-2012. Australian Mathematical Sciences Institute (AMSI), Melbourne. • Burton, Lorelle, Dowling, David, Kavanagh, Lydia, O'Moore, Liza & Wilkes, Janelle (2012). Examining first year students' preparedness for studying engineering. In: Llewellyn Mann and Scott Daniel, AAEE 2012 Conference Proceedings. 23rd Annual Conference of the Australasian Association of Engineering Education (AAEE 2012), Melbourne, Australia, (1020-1028). 3 - 5 December 2012.

  26. References continued • Jennings, M. (2011). The transition from high school to university: The University of Queensland perspective. In: John Hannah, Mike Thomas and Louise Sheryn, Te Ara Mokoroa: The Long Abiding Path of Knowledge - Proceedings of Volcanic Delta 2011. Volcanic Delta 2011: The Eighth Southern Hemisphere Conference on Teaching and Learning Undergraduate Mathematics and Statistics, Rotorua, New Zealand, (139-149). 27 November - 2 December 2011. • Kavanagh, L., O’Moore, L., & Samuelowicz, K. (2009). Characterising the first year cohort knowledge. 2009 Conference Proceedings. Annual Conference of the Australasian Association of Engineering Education (AAEE 2009), • QSA (2013). Enrolment data. http://www.qsa.qld.edu.au/617.html

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