1. Formative Assessment Supporting Learning and Revision of Mathematics Sue Milne Niall Barr University of Glasgow

2. Background Course First year module for student Technology teachers Varied background in Maths Range of experience Range of ability – actual and self-perceived Delivery Self-paced Blended Technology Moodle QTI assessment resources

3. Topics Basic Maths Arithmetic – fractions, rounding, order of operations Algebra – brackets, like terms, powers Trig – solving triangles Geometry – area, angles, similar figures (no proofs!) Statistics – descriptive stats Vectors – 2-D vector arithmetic Higher topics Algebra – surds, simplifying powers, Factor and Remainder Theorems Trig – identities, trig functions Geometry – coordinate geometry and circle properties Logs and Exponentials – graphs, functions Differentiation – polynomials, trig functions, maxima and minima Complex Numbers – imaginary number, complex arithmetic, conversion between forms

4. +… Maths from the teacher’s point of view Not just “do it” Understand why Show others Track down errors

5. Challenges For students –Seen it all before – why repeat it? –Never seen the Higher stuff before –Don’t like algebra (or trig, logs,…) –Rust! For tutors –Broad spread of Maths experience –Motivation –This year – reduced contact time

6. Resources Learning materials from MathCentre, StatsTutor, BBC Bitesize, etc. Individual exercises - –Average 30 per topic –Randomised –Full solution Mock tests –Combine individual exercises –Rehearsal for Topic test Topic tests –Use same randomisation and structure as individual exercises –No solutions Moodle course Facebook group Tutor…

7. Activities Individual Revising and learning – using linked online resources Practising skills – –individual randomised exercises –mock tests Tests – open-book assessments Social/Collaborative Wiki – developing explanation skills Project – using Maths in Technological Studies Facebook page – motivation and discussion Mahara – recording activities, links, ideas…

8. Revising and Learning

9. Practising Skills – Formative Assessment 1

10. Practising Skills – Formative Assessment 2

11. Tests – Summative Assessment

12. Topics Wiki 4 groups of 6 students Choose topic in wiki Contribute ideas Alternative explanations Examples in context

13. Wiki Contributions 1 Fractions – alternative explanation of addition and subtraction

14. Wiki Contributions 2 Powers - using links to external materials

15. Wiki Contributions 3 Pythagoras – recognising background and applications

16. Project Same 4 groups of 6 students Relate Maths to Other course modules Teaching

17. Project Outputs Presentation Resources – –Shared with rest of class –For classroom use, out in schools

18. 1 - Maths for Technical Drawing Maths pupils need for Orthographic view Isometric view

19. 2 - Maths for Electronics Maths used in circuit calculations –Common pitfalls –Care with fractions and negative numbers

20. 3 - Maths for design and practical skills The Birdbox team How do pupils use maths to –Design and draw it in graphics –Mark it out and build it in woodwork

21. 4 - Working with Numbers Concepts Standard form Conversion Rounding Scale kilo-centi-milli....

22. Facebook group Discussion – not exactly...

23. Facebook group Project work –Separate group –Discuss project activities Interesting links Maths humour

24. Facebook Activity About half the class joined the Facebook group Several posts from us, a few from students

25. Mahara Introduced at the start......used as wrap up at the end

26. The Future Reduced contact hours More pressure on weaker students Less class time for revising/learning (but more “own time”) Less class time for one-to-one teaching Less class time for projects, wiki, etc. –make these “count”? –Utilise “own time”? Requires More support online Extra/improved resources –“live” diagrams, stepped questions, scenario tutorials