Does the introduction of the graphics calculator into system-wide examinations lead to change in the types of mathematical skills tested?

Educational Studies in Mathematics

Volumn 73, Issue 2, 2010, Pages 181-203

  Brown, Roger G ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Graphics calculator; High stakes examinations; Mathematical skills; Question writers

Indexed keywords

EID: 77951878618     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-009-9220-2     Document Type: Article

References (61)

1. Abu-Naja, M. (2008). The effect of graphics calculator on Negev Arab pupils' learning of the concept of families of functions. Research in Mathematics Education, 10(2), 183-202.
2. Anderson, M., Bloom, L., Mueller, U., & Pedler, P. (1999). The impact of graphics calculator on the assessment of calculus and modelling. International Journal of Mathematics Education Science and Technology, 30(4), 489-498.
3. Ball, G., Stephenson, B., Smith, G. H., Wood, L., Coupland, M., & Crawford, K. (1998). Creating diversity of mathematical experiences for tertiary students. International Journal of Mathematics Education Science and Technology, 29(6), 827-841.
4. Berry, J., Graham, E., & Smith, A. (2006). Observing student working styles when using graphic calculators to solve mathematics problems. International Journal of Mathematical Education in Science and Technology, 37(3), 291-308.
5. Berry, J., Johnson, P., Maull, W., & Monaghan, J. (1999). Routine questions and examination performance. In O. Zaslavsky (Ed.), Proceedings 23rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 105-112). Haifa: Israel Institute of Technology.
6. Bibby, N. (1991). Wherefore "plug and chug"?: Computer algebra versus A level mathematics. The Mathematical Gazette, 75, 40-48.
7. Bloom, B. S., Engelhart, M. D., Furst, E. J., Hill, W. H., & Krathwohl, D. R. (1956). Taxonomy of educational objectives, handbook I: The cognitive domain. New York: McKay.
8. Boers, M. & Jones, P. (1994). Students' use of graphics calculator under examination conditions. International Journal of Mathematics Education Science and Technology, 25(4), 491-516.
9. Brown, R. (2001). Computer algebra systems and the challenge of assessment. International Journal of Computer Algebra in Mathematics Education, 8(4), 295-308.
10. Brown, R. (2005). The impact of introduction of the graphics calculator into "high stakes" mathematics examinations at the system wide level. Hawthorn: Swinburne University of Technology.
11. Brown, R. (2007). Policy change, graphing calculators and 'high stakes examinations': A view across three examination systems. In D. Pitta-Pantazi & G. Philippou (Eds.), Proceedings of the fifth Congress of the European Society for Research in Mathematics Education (pp. 2413-2422). Larnaca: Department of Education, University of Cyprus.
12. Cresswell, M. J. (1998). What are examination standards? The role of values in large scale assessment. Paper presented at the 22nd International Association Evaluation Assessment Conference, Beijing.
13. DME. (1994). Højt Niveau Matematik, Onsdag den 11 maj 1994; Matematisk Linje Og Sproglig Linje, 2-Årigt Forløb Til B-Niveau (p. 4). Copenhagen: DME.
14. DME. (1995). Bekendtgørelse om ændring af bekendtgørelse om studentereksamen og om højere forberedelseseksamen nr 608. http://www. retsinfo. dk/_GETDOC_/ACCN/B19950060805-REGL Accessed 8 September 2009.
15. DME. (1997, 26. maj 1997). Bekendtgørelse om ændring af bekendtgørelse om gymnasiet, studenterkursus og enkeltfagsstudentereksamen nr 354. http://www. retsinfo. dk/_GETDOC_/ACCN/B19970035405-REGL. Accessed 8 September 2009.
16. DME. (2000). Matematisk Linje 3-Årigt Førlob Til A-Niveau, Matematik Proven Med Hjælpemidler, Torsdag den 11. maj 2000; Matematisk Linje Og Sproglig Linje, 2-Årigt Forløb Til B-Niveau, Matematik Delprøven Med Hjælpemidler, Delprøven Med Hjælpemidler. Copenhagen: DME.
17. DME. (2003). Matematisk Linje 3-Årigt Førlob Til A-Niveau, Matematik Proven Med Hjælpmidler; Matematisk Linje Og Sproglig Linje, 2-Årigt Forløb Til B-Niveau, Delprøven Med Hjælpemidler. Copenhagen: DME.
18. DME. (2005). Matematisk Linje 3-Årigt Førlob Til A-Niveau, Matematik Proven Med Hjælpmidler; Matematisk Linje Og Sproglig Linje, 2-Årigt Forløb Til B-Niveau, Delprøven Med Hjælpemidler. Copenhagen: DME.
19. Drijvers, P. (1998). Assessment and new technologies. The International Journal of Computer Algebra in Mathematics Education, 5(2), 81-93.
20. Drijvers, P. & Doorman, M. (1996). The graphics calculator in mathematics education. Journal of Mathematical Behavior, 15, 425-440.
21. Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61, 103-131.
22. Elia, I. & Spyrou, P. (2006). How students conceive function: A triarchic conceptual-semiotic model of the understanding of a complex concept. The Montana Mathematics Enthusiast, 3(2), 256-272.
23. Forster, P., Flynn, P., Frid, S., & Sparrow, L. (2004). Calculators and computer algebra systems. In B. Perry, G. Anthony & C. Diezmann (Eds.), Research in mathematics education 2000-2003 (pp. 313-336). Flaxton: Mathematics Education Research Group of Australasia.
24. Forster, P. A. & Mueller, U. (2001). Outcomes and implications of students' use of graphics calculators in the public examination of calculus. International Journal of Mathematics Education Science and Technology, 32(1), 37-52.
25. French, D. (1995). Computer algebra systems and A level examinations some thoughts prompted by Martin Taylor's article. The Mathematical Gazette, 79, 545-548.
26. Gagatsis, A. & Shiakalli, M. (2004). Ability to translate from one representation of the concept of function to another and mathematical problem solving. Educational Psychology, 24(5), 645-657.
27. Galbraith, P. & Haines, C. (2000). Conceptual (mis)understandings of beginning undergraduates. International Journal of Mathematics Education Science and Technology, 31(5), 651-678.
28. Gardiner, T. (1995). Wrong way, go back! Mathematical Gazette, 79, 335-346.
29. Graham, T., Headlam, C., Honey, S., Sharp, J., & Smith, A. (2003). The use of graphics calculators by students in an examination: what do they really do? International Journal of Mathematics Education Science and Technology, 34(3), 319-334.
30. Guin, D. & Trouche, L. (1999). The complex process of converting tools into mathematical instruments: The case of calculators. International Journal of Computers for Mathematical Learning, 3, 195-227.
31. Harvey, J. G. (1992). Mathematics testing with calculators: Ransoming the hostages. In T. A. Romberg (Ed.), Mathematics assessment and evaluation (pp. 139-168). Albany: State University of New York Press.
32. Heid, M. K. (1988). Resequencing skills and concepts in applied calculus using the computer as a tool. Journal for Research in Mathematics Education, 19(1), 3-25.
33. Hong, Y. Y., Thomas, M., & Kiernan, C. (2000). Supercalculators and university entrance calculus examinations. Mathematics Education Research Journal, 12(3), 321-336.
34. IBO. (1992). Groups 3-6: Use of calculators in examinations. Examination sessions: May 1994 onwards. IB Coordinator Notes (December 1992).
35. IBO. (1993). Mathematics subsidiary level: Paper 1, paper 1: Mathematics subsidiary level: Paper 2, paper 2: Mathematics with further mathematics. Higher level: Paper 1, May paper 1: Mathematics with further mathematics. Higher level: Paper 2, May paper 2. Geneva: IBO.
36. IBO. (2000). Mathematical methods SL paper 1, May 2000; Mathematical methods SL paper 2, May 2000; mathematics HL paper 1, May 2000; Mathematics HL paper 2, May 2000. Geneva: IBO.
37. IBO. (2003). Mathematical methods SL paper 1, May 2003; Mathematical methods SL paper 2, May 2003; mathematics HL paper 1, May 2003; Mathematics HL paper 2, May 2003. Geneva: IBO.
38. IBO. (2005). Mathematical methods SL paper 1, May 2005; Mathematical methods SL paper 2, May 2005; mathematics HL paper 1, May 2005; Mathematics HL paper 2, May 2005. Geneva: IBO.
39. Kendal, M. & Stacey, K. (2001). The impact of teacher privileging on learning differentiation with technology. International Journal of Computers in Mathematics Learning, 6(2), 143-165.
40. Kokol-Voljc, V. (1999). Exam questions when using CAS for school mathematics teaching. International Journal of Computer Algebra in Mathematics Education, 7(1), 63-76.
41. Miles, M. & Huberman, A. M. (1994). Qualitative data analysis. Thousand Oaks: Sage.
42. Monaghan, J. (2000). Some issues surrounding the use of algebraic calculators in traditional examinations. International Journal of Mathematics Education Science and Technology, 31(3), 381-392.
43. Oppenheim, A. (2000). Questionnaire design, interviewing and attitude measurement (2nd ed.). London: Cassell.
44. Penglase, M. & Arnold, S. (1996). The graphics calculator in mathematics education: A critical review of recent research. Mathematics Education Research Journal, 8(1), 58-90.
45. Pointon, A. & Sangwin, C. J. (2003). An analysis of undergraduate core material in the light of hand-held computer algebra systems. International Journal of Mathematics Education, Science and Technology, 34(5), 671-686.
46. Ruthven, K. (1990). The influence of graphical calculator use on translation from graphic to symbolic forms. Educational Studies in Mathematics, 21, 431-450.
47. Ruthven, K. (1996). The technology test: New items for a new era. Mathematical Gazette, 80, 360-361.
48. Ruthven, K. (2002). Instrumenting mathematical activity: Reflections on key studies of the educational use of computer algebra systems. International Journal for Computers in Mathematics Learning, 7, 275-291.
49. Smith, G. H. & Wood, L. (2000). Assessment of learning in university mathematics. International Journal of Mathematics Education Science and Technology, 31(1), 125-132.
50. Smith, G. H., Wood, L., Crawford, K., Coupland, M., Ball, G., & Stephenson, B. (1996). Constructing mathematical examinations to assess a range of knowledge and skills. International Journal of Mathematics Education Science and Technology, 27(1), 65-78.
51. Threlfall, J., Pool, P., Homer, M., & Swinnerton, B. (2007). Implicit aspects of paper and pencil mathematics assessment that come to light through the use of the computer. Educational Studies in Mathematics, 66, 335-348.
52. VBOS. (1994). VCE Mathematical methods common assessment task 3: Analysis task; VCE mathematical methods common assessment task2: Facts, skills and applications task; VCE Specialist mathematics common assessment task 2: Facts, skills and applications task; VCE specialist mathematics common assessment Task 3: Analysis task. Melbourne: VBOS.
53. VBOS. (1997a). Approved calculators in VCE examinations. VCE Bulletin, 1997, 3-4.
54. VBOS. (1997b). Use of calculators in examinations. VCE Bulletin, September.
55. VCAA. (2000). Mathematical methods: Written examination 1 Part II.; Mathematical methods: Written examination 2 (analysis task); Specialist mathematics: Written examination 1 Part II; Specialist mathematics: Written examination 2 (analysis task). Melbourne: VCAA.
56. VCAA. (2003). Mathematical methods: Written examination 1 Part II.; Mathematical methods: Written examination 2 (analysis task); Specialist mathematics: Written examination 1 Part II; Specialist mathematics: Written examination 2 (analysis task). Melbourne: VCAA.
57. VCAA. (2005). Mathematical methods: Written examination 1 Part I; Mathematical methods: Written examination 2 (analysis task); Specialist mathematics: Written examination 1 Part II; Specialist mathematics: Written examination 2 (analysis task). Melbourne: VCAA.
58. VCAA. (2006). Assessment report: Mathematical methods GA 3: Written examination 2. Melbourne: Victorian Curriculum and Assessment Authority.
59. Waits, B. & Demana, F. (2000). Calculators in mathematics teaching and learning: Past, present, and future. In M. J. Burke & F. R. Curcio (Eds.), Learning mathematics for a new century (pp. 55-66). Reston: National Council of Teachers of Mathematics.
60. Wu, H. (1996). The mathematician and the mathematics education reform. Notices American Mathematical Society, 43, 1531-1537.
61. Yin, R. K. (1994). Case study research: Design and methods (2nd ed.). Thousand Oaks: Sage.