Optimizing Students’ Mathematical Visual Thinking Through Graphing Quadratic Worksheets: A Rasch Modeling Approach

DOI

10.2991/978-94-6463-624-6_14How to use a DOI?

Keywords

Graphing Quadratic Worksheets; Mathematical Visual Thinking; Rasch Modeling

Abstract

This study aims to develop a detection model and optimization strategy for enhancing mathematical visual thinking skills using graphing quadratic work-sheets through the Rasch Modeling approach. Data were collected from students completing worksheets designed to assess three key aspects of visual thinking: Discrimination (VD), Perception (VP), and Analysis of Shapes (VS). The Rasch analysis included mapping student abilities and item difficulty through the Wright Map, alongside the Item Characteristic Curve (ICC) and Item Information Function (IIF) to assess response probabilities and item information contributions. Results from the Wright Map indicated that student abilities varied significantly, with a range from 12.5 to 25 and an average of 17.5, while item difficulty revealed that VP items posed the greatest challenge, followed by VS and VD items. ICC and IIF analyses demonstrated that each item effectively contributed valuable information at distinct levels of student ability, highlighting specific areas where students struggle. Based on these findings, an optimization strategy was developed to redesign the most challenging items, thereby providing targeted support for enhancing visual thinking skills. The significance of these results lies in offering actionable insights for mathematics educators on how to use graphing quadratic-based tools to accurately assess and address students’ visual thinking abilities. This approach provides a model for developing educational materials that not only diagnose skill gaps but also actively support students in building stronger mathematical thinking skills. By refining item difficulty and focusing on the aspects where students need the most support, this study contributes a practical framework for improving the effectiveness of visual-based mathematics instruction.

Copyright

© 2024 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Ria Noviana Agus
AU  - Rina Oktaviyanthi
AU  - Usep Sholahudin
PY  - 2024
DA  - 2024/12/26
TI  - Optimizing Students’ Mathematical Visual Thinking Through Graphing Quadratic Worksheets: A Rasch Modeling Approach
BT  - Proceedings of the 4th Science and Mathematics International Conference (SMIC 2024)
PB  - Atlantis Press
SP  - 161
EP  - 175
SN  - 2352-541X
UR  - https://doi.org/10.2991/978-94-6463-624-6_14
DO  - 10.2991/978-94-6463-624-6_14
ID  - Agus2024
ER  -