Research Article

Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process

Volume: 8 Number: 3 September 3, 2021
EN

Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process

Abstract

This study aims to elicit the role of formative feedback in the development of students in a mathematical problem-solving process. For this purpose, the study's primary process is to investigate the development of elementary school students (aged 10 to 11) through feedback given during a problem-solving process. While visually engaged in the sub-processes expressing a problem situation and describing their thinking structures in writing, three different dimensions are addressed: communicating visually what they understood from the problem; expressing their thoughts about solution; and creating explanations regarding their solution process. The six-week embedded mixed method study reveals that students' explanations of their thinking processes developed towards the expectations. They were able to depict the problem and the relationships involved in the problem more clearly in their drawings to understand the problem. They made fewer mistakes in mathematical operations.

Keywords

References

  1. Alfieri, L., Brooks, P. J., Aldrich, N. J., & Tenenbaum, H. R. (2011). Does discovery-based instruction enhance learning? Journal of Educational Psychology, 103(1), 1–18.
  2. Altun, M. (2001). Matematik öğretimi. [Mathematics teaching]. İstanbul, Turkey: Alfa Yayınları Anderson, L. W. and Krathwohl, D. R., et al (Eds.) (2001) A Taxonomy for Learning, Teaching, and Assessing: A Revision of Bloom’s Taxonomy of Educational Objectives. Allyn & Bacon.
  3. Andrade, H., Du, Y., & Wang, X. (2008). Putting rubrics to the test: The effect of a model, criteria generation, and rubric-referenced self-assessment on elementary school students’ writing. Educational Measurement: Issues and Practices, 27(2), 3–13.
  4. Attali, Y., & Van der Kleij, F. (2017). Effects of feedback elaboration and feedback timing during computer-based practice in mathematics problem solving. Computers & Education, 110, 154-169.Basu, S., Biswas, G., & Kinnebrew, J. S. (2017). Learner modeling for adaptive scaffolding in a computational thinking based science learning environment. User Modeling and User-Adapted Interaction, 27(1), 5–53.
  5. Bayazit, İ & Aksoy, Y. (2009). Matematiksel problemlerin öğrenimi ve öğretimi. ilköğretimde karşılaşılan matematiksel zorluklar ve çözüm önerileri (Ed. Bingölbali, E & Özmantar, M,F). [Learning and Teaching of mathematical Problems: Mathematical difficulties in elementary mathematics and suggestions for solutions]. Ankara, Turkey: PegemA Yayıncılık.
  6. Black, P., & Wiliams, D. (1998). Assessment and classroom learning. Assessment in Education, 5, 7–75.
  7. Boonen, A. J., Van Wesel, F., Jolles, J., & Van der Schoot, M. (2014). The role of visual representation type, spatial ability, and reading comprehension in word problem solving: An item-level analysis in elementary school children. International Journal of Educational Research, 68, 15-26.
  8. Brookhart, S. (2008). How to give effective feedback to your students. Alexandria, USA: Association for Supervision and Curriculum Development.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

September 3, 2021

Submission Date

December 22, 2020

Acceptance Date

June 11, 2021

Published in Issue

Year 2021 Volume: 8 Number: 3

APA
Toker, Z. (2021). Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process. International Journal of Contemporary Educational Research, 8(3), 133-151. https://doi.org/10.33200/ijcer.845288
AMA
1.Toker Z. Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process. International Journal of Contemporary Educational Research. 2021;8(3):133-151. doi:10.33200/ijcer.845288
Chicago
Toker, Zerrin. 2021. “Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process”. International Journal of Contemporary Educational Research 8 (3): 133-51. https://doi.org/10.33200/ijcer.845288.
EndNote
Toker Z (September 1, 2021) Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process. International Journal of Contemporary Educational Research 8 3 133–151.
IEEE
[1]Z. Toker, “Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process”, International Journal of Contemporary Educational Research, vol. 8, no. 3, pp. 133–151, Sept. 2021, doi: 10.33200/ijcer.845288.
ISNAD
Toker, Zerrin. “Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process”. International Journal of Contemporary Educational Research 8/3 (September 1, 2021): 133-151. https://doi.org/10.33200/ijcer.845288.
JAMA
1.Toker Z. Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process. International Journal of Contemporary Educational Research. 2021;8:133–151.
MLA
Toker, Zerrin. “Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process”. International Journal of Contemporary Educational Research, vol. 8, no. 3, Sept. 2021, pp. 133-51, doi:10.33200/ijcer.845288.
Vancouver
1.Zerrin Toker. Making Thoughts Visible through Formative Feedback in a Mathematical Problem-Solving Process. International Journal of Contemporary Educational Research. 2021 Sep. 1;8(3):133-51. doi:10.33200/ijcer.845288

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IJCER (International Journal of Contemporary Educational Research) ISSN: 2148-3868