Dey, P. P. (2019, April), Engaging Students with Multiple Representations of Mathematical Models  Paper presented at 2019 Pacific Southwest Section Meeting, California State University, Los Angeles , California. 10.18260/1-2--31826

\bibitem{asee_peer_31826}
  Dey, P. P. (2019, April), \emph{Engaging Students with Multiple Representations of Mathematical Models}
  Paper presented at 2019 Pacific Southwest Section Meeting, California State University, Los Angeles , California.
  10.18260/1-2--31826

Pradip Peter Dey.  "Engaging Students with Multiple Representations of Mathematical Models".  2019 Pacific Southwest Section Meeting, California State University, Los Angeles , California, 2019, April.  ASEE Conferences, 2019.  https://peer.asee.org/31826 Internet.  16 May, 2024

\bibitem{asee_peer_31826}
  Pradip Peter Dey.
  "Engaging Students with Multiple Representations of Mathematical Models".
  \emph{2019 Pacific Southwest Section Meeting, California State University, Los Angeles , California, 2019, April}.
  ASEE Conferences, 2019.
  https://peer.asee.org/31826 Internet.  16 May, 2024

@INPROCEEDINGS{asee_peer_31826
author = "Pradip Peter Dey"
title = "Engaging Students with Multiple Representations of Mathematical Models"
booktitle = "2019 Pacific Southwest Section Meeting"
year = "2019"
month = "April"
address = "California State University, Los Angeles , California"
publisher = "ASEE Conferences"
note = {https://peer.asee.org/31826}
number = {10.18260/1-2--31826}
}

TY  - CPAPER
AB  - Engaging Students with Multiple Representations of Mathematical Models

Abstract 
Mathematical models of computation such as Turing Machines, Pushdown Automata and Finite Automata can be adequately represented in a tabular form.  However, students tend to engage and participate actively when multiple representations including transition graphs, tabular forms and coded strings are used for discussing pertinent issues.   These representations can be mutually translated to each other without any loss of formal properties.    This paper reports on experiments with multiple representations of Turing Machines for modeling dynamic aspects.  Student participation was found to be significantly higher when graphical representations were given using transition graphs in addition to other representations.  Most learners liked multiple representations of Turing Machines even when the standard tabular representation was good enough for explaining fundamental aspects of information processing.     87.5% learners preferred multiple representations of a Turing Machine to one representation in a web-based learning environment.  The representations of the Turing Machine were used as a supplement to introductory onsite math foundations of computer science course on the following website:   http://www.asethome.org/mathfoundations/tmd/.   Applications of Turing Machines in other fields were discussed using different representations.   Software design tools based on statecharts proposed by David Harel have been very popular for modeling dynamic aspects of software.   Statecharts are simplified Turing Machines presented in a graphical notation that is appropriate for explaining software design and development features in an intuitive way.  
AU  - Pradip Peter Dey
CY  - California State University, Los Angeles , California
DA  - 2019/04/04
PB  - ASEE Conferences
TI  - Engaging Students with Multiple Representations of Mathematical Models
UR  - https://peer.asee.org/31826
DO  - 10.18260/1-2--31826
ER  -