“Three-Stage” Alternative Assessment
- 1 Beit Berl College, Beit Berl, Israel
- 2 Beit Berl College, Beit Berl, Israel
Abstract
The changing approach to teaching mathematics in recent years has led to a need for more appropriate assessment tools. We offer herein a “Three-Stage Assessment” tool composed of a group test, a class discussion, and an individual test whose value lies in the way it adapts the assessment process to meet the changes in contemporary teaching practices, which tend to place more focus on collaborative learning. This tool has been designed to assess pre- and in-service teachers’ (in this article they will be referred to as students) knowledge in the collaborative classroom setting. The tool was used to assess 34 pre- and in-service teachers who participated in a course entitled “Geometry and Teaching Geometry.” We examined its effectiveness in assessing the students’ knowledge: both demonstrating their individual skills and taking into account the diversity that exists in group work. The findings show that the tool generally reflects the students’ knowledge of the material, and effectively assesses their understanding of mathematical concepts and methodical knowledge. Furthermore, experience with the tool offered them an example of how to adjust the assessment process to individual teaching situations. We also collected feedback from the students regarding the tool’s efficacy. The feedback indicated that the students found it useful and might utilize such a tool to assess their pupils.
- Anderson, R. S. (1998). Why Talk about Different Ways to Grade? The Shift from Traditional Assessment to Alternative Assessment. New Direction for Teaching and Learning, 74, 5-16. https://doi.org/10.1002/tl.7401
- Birenbaum, M. (2014). Conceptualizing Assessment Culture in School. In C. Wyatt-Smith, V. Klenowski, & P. Colbret (Eds.), Designing Assessment for Quality Learning (pp. 285-302). Springer. https://doi.org/10.1007/978-94-007-5902-2_18
- Birenbaum, M. (2015). Assessment Culture vs. Testing Culture: The Impact on Assessment for Learning. In D. Laveault, & L. Allal (Eds.), Assessment for Learning: Meeting the Challenge of Implementation (pp. 275-292). Springer.
- Birenbaum, M., Breuer, K., Cascallar, E., Dochy, F., Dori, Y., Ridgway, J., & Wiesemes, R. (2006). A Learning Integrated Assessment System (Position Paper). Educational Research Review, 1, 61-67. https://doi.org/10.1016/j.edurev.2006.01.001
- Black,P., & Wiliam, D. (1998). Assessment & Classroom Learning. Assessment in Education, 5, 7-73. https://doi.org/10.1080/0969595980050102
- Chan, M. C. E., & Clarke, D. (2017). Structured Affordances in the Use of Open-Ended Tasks to Facilitate Collaborative Problem Solving. ZDM—Mathematics Education, 49, 951-963. https://doi.org/10.1007/s11858-017-0876-2
- Chiu, M. M. (2000). Group Problem Solving Processes: Social Interactions and Individual Actions. Journal for the Theory of Social Behavior, 30, 26-49. https://doi.org/10.1111/1468-5914.00118
- Clarke D. J., & Sullivan P., (1992). Responses to Open-Ended Tasks in Mathematics: Characteristics and Implications. Proceedings PME, XVI, 137-144.
- Falchikov, N. (2004). Improving Assessment through Student Involvement: Practical Solutions for Aiding Learning in Higher and Further Education. Routledge.
- Firestone, W. A., Winter, J., & Fitz, J. (2000). Different Assessments, Common Practice? Mathematics Testing and Teaching in the USA and England and Wales. Assessment in Education, 7, 13-37. https://doi.org/10.1080/713613322
- Hershkowitz, R. (1989). Visualization in Geometry—Two Sides of the Coin. Focus on Learning Problems in Mathematics, 11, 61-76.
- Ilany, B., & Shmueli, N. (1999). Alternative Assessment for Student Teachers in a Geometry and Teaching of Geometry Course. In O. Zaslavsky (Eds.), Proceedings of the 23th Conference of the International Group for the Psychology of Mathematics Education, Technhon (Vol. 3, pp. 113-120). Haifa: Israel.