DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING

Teo Paoletti; Steven Greenstein; Madhavi Vishnubhotla; Mustafa Mohamed

DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING

Teo Paoletti, Steven Greenstein, Madhavi Vishnubhotla, Mustafa Mohamed

Mathematics

Montclair State University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Constructing and reasoning about covarying quantities is fundamental to students’ modeling of dynamic phenomena. In this report, we describe how we designed and leveraged 3D-printed manipulatives in parallel with iterative task re-design to support middle-grades students (ages 10-14) constructing and reasoning about covarying quantities. We present data from a design experiment to highlight why we adapted the original task to incorporate 3D-printed manipulatives in order to support students’ constructions of mental images of quantities in ways consistent with researcher intentions. In doing so, we highlight how 3D-printing has opened up new possibilities for manipulatives in mathematics education.

Original language	English
Title of host publication	Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, 2019
Editors	Mellony Graven, Hamsa Venkat, Anthony A Essien, Pamela Vale
Publisher	Psychology of Mathematics Education (PME)
Pages	193-200
Number of pages	8
ISBN (Print)	9780639821542
State	Published - 2019
Event	43rd Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2019 - Pretoria, South Africa Duration: Jul 7 2019 → Jul 12 2019

Publication series

Name	Proceedings of the International Group for the Psychology of Mathematics Education
Volume	3

Conference

Conference	43rd Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2019
Country/Territory	South Africa
City	Pretoria
Period	7/7/19 → 7/12/19

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)
Developmental and Educational Psychology
Experimental and Cognitive Psychology
Education

Cite this

Paoletti, T., Greenstein, S., Vishnubhotla, M., & Mohamed, M. (2019). DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING. In M. Graven, H. Venkat, A. A. Essien, & P. Vale (Eds.), Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, 2019 (pp. 193-200). (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 3). Psychology of Mathematics Education (PME).

Paoletti, Teo ; Greenstein, Steven ; Vishnubhotla, Madhavi et al. / DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING. Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, 2019. editor / Mellony Graven ; Hamsa Venkat ; Anthony A Essien ; Pamela Vale. Psychology of Mathematics Education (PME), 2019. pp. 193-200 (Proceedings of the International Group for the Psychology of Mathematics Education).

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title = "DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS{\textquoteright} COVARIATIONAL REASONING",

abstract = "Constructing and reasoning about covarying quantities is fundamental to students{\textquoteright} modeling of dynamic phenomena. In this report, we describe how we designed and leveraged 3D-printed manipulatives in parallel with iterative task re-design to support middle-grades students (ages 10-14) constructing and reasoning about covarying quantities. We present data from a design experiment to highlight why we adapted the original task to incorporate 3D-printed manipulatives in order to support students{\textquoteright} constructions of mental images of quantities in ways consistent with researcher intentions. In doing so, we highlight how 3D-printing has opened up new possibilities for manipulatives in mathematics education.",

author = "Teo Paoletti and Steven Greenstein and Madhavi Vishnubhotla and Mustafa Mohamed",

note = "Publisher Copyright: {\textcopyright} 2019, Psychology of Mathematics Education (PME). All rights reserved.; 43rd Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2019 ; Conference date: 07-07-2019 Through 12-07-2019",

year = "2019",

language = "English",

isbn = "9780639821542",

series = "Proceedings of the International Group for the Psychology of Mathematics Education",

publisher = "Psychology of Mathematics Education (PME)",

pages = "193--200",

editor = "Mellony Graven and Hamsa Venkat and Essien, {Anthony A} and Pamela Vale",

booktitle = "Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, 2019",

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Paoletti, T, Greenstein, S, Vishnubhotla, M & Mohamed, M 2019, DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING. in M Graven, H Venkat, AA Essien & P Vale (eds), Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, 2019. Proceedings of the International Group for the Psychology of Mathematics Education, vol. 3, Psychology of Mathematics Education (PME), pp. 193-200, 43rd Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2019, Pretoria, South Africa, 7/7/19.

DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING. / Paoletti, Teo; Greenstein, Steven; Vishnubhotla, Madhavi et al.
Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, 2019. ed. / Mellony Graven; Hamsa Venkat; Anthony A Essien; Pamela Vale. Psychology of Mathematics Education (PME), 2019. p. 193-200 (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Paoletti T, Greenstein S, Vishnubhotla M, Mohamed M. DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING. In Graven M, Venkat H, Essien AA, Vale P, editors, Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education, 2019. Psychology of Mathematics Education (PME). 2019. p. 193-200. (Proceedings of the International Group for the Psychology of Mathematics Education).

DESIGNING TASKS AND 3D PHYSICAL MANIPULATIVES TO PROMOTE STUDENTS’ COVARIATIONAL REASONING

Abstract

Publication series

Conference

All Science Journal Classification (ASJC) codes

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