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Mathematics culture Numerate, logical & methodical rich in concepts and their application

Carrots, sticks, and engagement and assessment strategies (case study) Sean Ryan School of Physics, Astronomy and Mathematics. Mathematics culture Numerate, logical & methodical rich in concepts and their application Case module

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Mathematics culture Numerate, logical & methodical rich in concepts and their application

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  1. Carrots, sticks, and engagement and assessment strategies (case study)Sean RyanSchool of Physics, Astronomy and Mathematics Mathematics culture • Numerate, logical & methodical • rich in concepts and their application Case module • 1st year, Sem. A. Module taken by all (~100) 1st year maths students: “Financial and Actuarial Mathematics” • All materials on StudyNet– so some students think they can “go solo”

  2. The problem: persistent high failure rates Impervious to style of teaching: • change of lecturer: DTB = 36%, SGR = 37% s.e.≈4%no significant difference • labs/no labs: labs = 37%, none = 37% s.e.≈3%(use class time “better”; move “lab” work to assignments)no significant difference; labs not a motivator

  3. The problem: persistent high failure rates Attendance important in PAM • Clear correlations between attendance and grade:missing 1 class [e.g. out of 24] = lower grade by ~2-3% • Students with lower UCAS scores attend fewer classes • → PAM retention strategy focuses on achieving high attendance and class contact

  4. Building engagement, 2010/11 • 2005-09 = 37% (s.e.=2%), 2010 = 22%, • ? Regular low stakes marked homework w/feedback? – exhausting! • ? Formative EVS? • ? Role of improved UCAS score?

  5. Building engagement, 2010/11 Formative EVS: a carrot for attendance & engagement? Used for short reality checks during class: for student: question own understanding; for lecturer: discover what students have understood Also: promotes discussion that overcomes misunderstandings; helps avoid monotony ? creates interactive element presumed useful; builds engagement ? Look for evidence of attendance ...(mild proxy for engagement)

  6. Was formative EVS a carrot for engagement? Attendance up ~10% during 2010/11 ... ... but was EVS usage responsible? (half?) ... or higher UCAS grades? (half?) ↑30 UCAS pts = ↑1-2 lectures/24 = ↑4-8% attendance

  7. Assessment (and UCAS) changes in 2011/12 Formative EVS used for daily feedback and reality checking; CW = 80% three tests, 20% one assignment (all medium stakes) Look (again) for evidence of attendance ...

  8. Was formative EVS a carrot for engagement? By week 4, attendance drifting down, despite higher UCAS points and EVS use (from wk 3) ...what to do?

  9. Arresting poor attendance: a stick? Mail to selected students after third week of teaching: … you have already missed several lectures in the first three weeks. … you are likely to be withdrawn from the programme. ... Mail to selected students after fourth week of teaching: … you have missed the majority of your classes … I have now begun the process of formally withdrawing you from your studies … and will record you as having withdrawn in our forthcoming Semester A report to the government. … [This is] your penultimate opportunity to rescue your status as a student of the University… you need to take two steps to avert your withdrawal …… establish yourself as actively studying … … make an appointment to see me …

  10. Arresting poor attendance: a stick? Probably, word spread. By week 5, attendance rose 20% above previous year ... and stayed higher all semester – with no more emails.

  11. Was higher attendance helpful to students? 20% ↑ in attendance implies 5 extra classes, or ~10% ↑ in grade. 2010/11 average grade = 48%; 2011/12 average = 55% Still see similar grade-attendance dependence (good), and same y-axis intercept implies assessment not easier, but now fewer students in poor-attendance tail, so fail-rate reduced.

  12. Outcome in 2011/12 Conclusions: EVScarrot: good for feedback, but only limited evidence it improved attendance (↑5%?) or achievement HoS stick: produced sustained change in attendance? (↑UCAS+EVS+HoSstick) → ↑attendance → effective learning Attendance translates into learning for PAM students(cf. “mature” students at OU – more self-disciplined?)

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