| Автор | Watson, Jane M. |
| Автор | Collis, Kevin F. |
| Автор | Callingham, Rosemary A. |
| Автор | Moritz, Jonathan B. |
| Дата выпуска | 1995 |
| dc.description | ABSTRACTAs in other areas of the school curriculum, the teaching, learning and assessment of higher order thinking in statistics has become an issue for educators following the appearance of recent curriculum documents in many countries. These documents have included probability and statistics across all years of schooling and have stressed the importance of higher order thinking across all areas of the mathematics curriculum. This paper reports on a pilot project which applied the theoretical framework for cognitive development devised by Biggs and Collis to a higher order task in data handling in order to provide a model of student levels of response. The model will assist teachers, curriculum planners and other researchers interested in increasing levels of performance on more complex tasks. An interview protocol based on a set of 16 data cards was developed, trialed with Grade 6 and 9 students, and adapted for group work with two classes of Grade 6 students. The levels and types of cognitive functioning associated with the outcomes achieved by students completing the task in the two contexts will be discussed, as will the implications for classroom teaching and for further research. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Swets & Zeitlinger |
| Название | A Model for Assessing Higher Order Thinking in Statistics |
| Тип | research-article |
| DOI | 10.1080/1380361950010303 |
| Electronic ISSN | 1744-4187 |
| Print ISSN | 1380-3611 |
| Журнал | Educational Research and Evaluation |
| Том | 1 |
| Первая страница | 247 |
| Последняя страница | 275 |
| Аффилиация | Watson, Jane M.; University of Tasmania |
| Аффилиация | Collis, Kevin F.; University of Tasmania |
| Аффилиация | Callingham, Rosemary A.; Department of Education and the Arts |
| Аффилиация | Moritz, Jonathan B.; University of Tasmania |
| Выпуск | 3 |
| Библиографическая ссылка | Australian Education Council. 1991. A national statement on mathematics for Australian schools, Canberra: Author. |
| Библиографическая ссылка | Australian Education Council. 1994a. A statement on health and physical education for Australian schools, Carlton, Vic: Curriculum Corporation. |
| Библиографическая ссылка | Australian Education Council. 1994b. A statement on science for Australian schools, Carlton, Vic: Curriculum Corporation. |
| Библиографическая ссылка | Australian Education Council. 1994c. A statement on studies of society and environment for Australian schools, Carlton, Vic: Curriculum Corporation. |
| Библиографическая ссылка | Australian Education Council. 1994d. A statement on technology for Australian schools, Carlton, Vic: Curriculum Corporation. |
| Библиографическая ссылка | Berenson, S. B., Friel, S. and Bright, G. Elementary teachers’ fixations on graphical features to interpret statistical data. Paper presented at the Annual Meeting of the American Educational Research Association. Atlanta, GA. April 1993 |
| Библиографическая ссылка | Biggs, J. B. and Collis, K. F. 1982. Evaluating the quality of learning: The SOLO taxonomy, New York: Academic Press. |
| Библиографическая ссылка | Biggs, J. B. and Collis, K. F. 1989. Towards a model of school‐based curriculum development and assessment using the SOLO Taxonomy. Australian Journal of Education, 33: 151–163. |
| Библиографическая ссылка | Biggs, J. B. and Collis, K. F. 1991. “Multimodal learning and the quality of intelligent behaviour”. In Intelligence: Reconceptualisation and measurement, Edited by: Rowe, H. A. H. 57–76. Hillsdale, N. J.: Lawrence Erlbaum. |
| Библиографическая ссылка | Callingham, R. A. 1993. Cemetery Mathematics. Australian Mathematics Teacher, 49(4): 38–39. |
| Библиографическая ссылка | Callingham, R. A. 1994. Teachers’ Understanding of the Arithmetic Mean, Hobart: University of Tasmania. Unpublished Master of Educational Studies dissertation |
| Библиографическая ссылка | Campbell, K. J., Collis, K. F. and Watson, J. M. 1995. Visual processing during mathematical problem solving. Educational Studies in Mathematics, 28: 177–194. |
| Библиографическая ссылка | Campbell, K. J., Watson, J. M. and Collis, K. F. 1992. Volume measurement and intellectual development. Journal of Structural Learning and Intelligent Systems, 11: 279–298. |
| Библиографическая ссылка | Collis, K. F. and Biggs, J. B. 1991. “Developmental determinants of qualitative aspects of school learning”. In Learning and teaching cognitive skills, Edited by: Evans, G. 185–207. Melbourne: Australian Council for Educational Research. |
| Библиографическая ссылка | Collis, K. F. and Romberg, T. A. 1991. “Assessment of mathematical performance: An analysis of open‐ended test items”. In Testing and cognition, Edited by: Wittrock, M. C. and Baker, E. 82–130. Englewood Cliffs, NJ: Prentice Hall. |
| Библиографическая ссылка | Fischbein, E. and Gazit, A. 1984. Does the teaching of probability improve probabilistic intuitions?. Educational Studies in Mathematics, 15: 1–24. |
| Библиографическая ссылка | Lamborn, S. D. and Fischer, K. W. 1988. Optimal and functional levels in cognitive development: The individual's developmental range. Newsletter of the International Society for the Study of Behavioural Development, : 1–4. 1988 Number 2, Serial No. 14 |
| Библиографическая ссылка | Ministry of Education. 1992. Mathematics in the New Zealand curriculum, Wellington: Author. |
| Библиографическая ссылка | National Council of Teachers of Mathematics. 1989. Curriculum and evaluation standards for school mathematics, Reston, VA: Author. |
| Библиографическая ссылка | National Health and Medical Research Council (Australia). Nutrition Committee. 1957. Standard height‐weight tables for Australians, Canberra: Australian Institute of Anatomy. |
| Библиографическая ссылка | Resnick, L. B. 1987. Learning in school and out. Educational Researcher, 16: 13–20. |
| Библиографическая ссылка | Stacey, K. 1992. Mathematical problem solving in groups: Are two heads better than one?. Journal of Mathematical Behaviour, 11: 261–275. |
| Библиографическая ссылка | Watson, J. M. 1992. “What research is needed in probability and statistics education in Australia in the 1990s?”. In Proceedings of the Fifteenth Annual Conference of the Mathematics Education Research Group of Australasia, Edited by: Southwell, B., Perry, B. and Owens, K. 556–567. Kingswood, NSW: Mathematics Education Research Group of Australasia. |
| Библиографическая ссылка | Watson, J. M. and Callingham, R. A. 1994. Data Cards: A classroom activity to encourage higher order processes in data handling, Hobart: University of Tasmania, School of Education. Unpublished manuscript |
| Библиографическая ссылка | Watson, J. M., Campbell, K. J. and Collis, K. F. 1993. Multimodal functioning in understanding fractions. Journal of Mathematical Behaviour, 12: 45–62. |
| Библиографическая ссылка | Watson, J. M., Chick, H. L. and Collis, K. F. 1988. “Applying the SOLO Taxonomy to errors on area problems”. In Mathematical Interfaces, Edited by: Pegg, J. 260–281. Armidale, NSW: Australian Association of Mathematics Teachers. |
| Библиографическая ссылка | Watson, J. M. and Collis, K. F. 1993. “Initial considerations concerning the understanding of probabilistic and statistical concepts in Australian students”. In Contexts in Mathematics Education, Edited by: Atweh, B., Kanes, C., Carss, M. and Booker, G. 575–580. Brisbane: Mathematics Education Research Group of Australasia. |
| Библиографическая ссылка | Watson, J. M., Collis, K. F. and Campbell, K. J. 1995. Developmental structure in the understanding of common and decimal fractions. Focus on Learning Problems in Mathematics, 17: 1–24. |
| Библиографическая ссылка | Watson, J. M., Collis, K. F. and Moritz, J. B. 1994. “Assessing statistical understanding in grades 3, 6 and 9 using a short‐answer questionnaire”. In Challenges in mathematics education: Constraints on construction, Edited by: Bell, G., Wright, B., Leeson, N. and Geake, J. 675–682. Lismore, NSW: Mathematics Education Research Group of Australasia. |
