@inproceedings{aa6b1b631c0a4171b8200ea2bc224a8c,
title = "Manipul8: An interactive experience to inspire pattern-based algebraic thinking and representational fluency",
abstract = "Transitioning students from arithmetic to algebraic thinking is a primary challenge in mathematics education. Visual patterns and physical manipulatives can be helpful, but students often struggle to see the connections between different representations. Manipul8 combines visual patterns with physical manipulatives and provides digital scaffolding to help students develop representational fluency. Using a tabletop tangible user interface, students manipulate equation frames with cutouts for quadratic, linear, and constant terms. Tangible, interchangeable terms are represented either traditionally or as quantities of shapes. The projected digital image provides real-time feedback showing algebraic growth patterns generated from the user-chosen equation structure and terms. Color provides scaffolding for noticing the connections between the equation's terms and visual-pattern-based representations.",
keywords = "Algebra, Functions, Math, Multiple representations, Representational fluency, Tangible user interfaces, Visual patterns",
author = "Boles, \{Kelly L.\} and Livia MacEdo and Chris Proctor and Paulo Blikstein",
note = "Publisher Copyright: {\textcopyright} 2018 Association for Computing Machinery.; 17th ACM Conference on Interaction Design and Children, IDC 2018 ; Conference date: 19-06-2018 Through 22-06-2018",
year = "2018",
month = jun,
day = "19",
doi = "10.1145/3202185.3210763",
language = "English",
series = "IDC 2018 - Proceedings of the 2018 ACM Conference on Interaction Design and Children",
publisher = "Association for Computing Machinery, Inc",
pages = "501--504",
booktitle = "IDC 2018 - Proceedings of the 2018 ACM Conference on Interaction Design and Children",
}