Exercises Integrating High School Mathematics with Robot Motion Planning

Ronald I. Greenberg; George K. Thiruvathukal

doi:10.1109/FIE43999.2019.9028394

Exercises Integrating High School Mathematics with Robot Motion Planning

Ronald I. Greenberg, George K. Thiruvathukal

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents progress in developing exercises for high school students incorporating level-appropriate mathematics into robotics activities. We assume mathematical foundations ranging from algebra to precalculus, whereas most prior work on integrating mathematics into robotics uses only very elementary mathematical reasoning or, at the other extreme, is comprised of technical papers or books using calculus and other advanced mathematics. The exercises suggested are relevant to any differerential-drive robot, which is an appropriate model for many different varieties of educational robots. They guide students towards comparing a variety of natural navigational strategies making use of typical movement primitives. The exercises align with Common Core State Standards for Mathematics.

Original language	American English
Journal	Computer Science: Faculty Publications and Other Works
DOIs	https://doi.org/10.1109/FIE43999.2019.9028394
State	Published - Oct 1 2019

Keywords

Robotics
Computer science education
Mathematics of Computing

Disciplines

Artificial Intelligence and Robotics
Computer Sciences
Curriculum and Instruction
Engineering Education
Other Mathematics
Robotics
Secondary Education

Access to Document

10.1109/FIE43999.2019.9028394License: Unspecified

Exercises Integrating High School Mathematics with Robot Motion PFinal published version, 232 KBLicense: Unspecified

Cite this

@article{0ba761417b3242fab7e829a74fcaf064,

title = "Exercises Integrating High School Mathematics with Robot Motion Planning",

abstract = " This paper presents progress in developing exercises for high school students incorporating level-appropriate mathematics into robotics activities. We assume mathematical foundations ranging from algebra to precalculus, whereas most prior work on integrating mathematics into robotics uses only very elementary mathematical reasoning or, at the other extreme, is comprised of technical papers or books using calculus and other advanced mathematics. The exercises suggested are relevant to any differerential-drive robot, which is an appropriate model for many different varieties of educational robots. They guide students towards comparing a variety of natural navigational strategies making use of typical movement primitives. The exercises align with Common Core State Standards for Mathematics.",

keywords = "Robotics, Computer science education, Mathematics of Computing",

author = "Greenberg, {Ronald I.} and Thiruvathukal, {George K.}",

note = "Ronald I. Greenberg and George K. Thiruvathukal. Exercises integrating high school mathematics with robot motion planning. In Proceedings of 2019 IEEE Frontiers in Education Conference (FIE), October 2019.",

year = "2019",

month = oct,

day = "1",

doi = "10.1109/FIE43999.2019.9028394",

language = "American English",

journal = "Computer Science: Faculty Publications and Other Works",

}

TY - JOUR

T1 - Exercises Integrating High School Mathematics with Robot Motion Planning

AU - Greenberg, Ronald I.

AU - Thiruvathukal, George K.

N1 - Ronald I. Greenberg and George K. Thiruvathukal. Exercises integrating high school mathematics with robot motion planning. In Proceedings of 2019 IEEE Frontiers in Education Conference (FIE), October 2019.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - This paper presents progress in developing exercises for high school students incorporating level-appropriate mathematics into robotics activities. We assume mathematical foundations ranging from algebra to precalculus, whereas most prior work on integrating mathematics into robotics uses only very elementary mathematical reasoning or, at the other extreme, is comprised of technical papers or books using calculus and other advanced mathematics. The exercises suggested are relevant to any differerential-drive robot, which is an appropriate model for many different varieties of educational robots. They guide students towards comparing a variety of natural navigational strategies making use of typical movement primitives. The exercises align with Common Core State Standards for Mathematics.

AB - This paper presents progress in developing exercises for high school students incorporating level-appropriate mathematics into robotics activities. We assume mathematical foundations ranging from algebra to precalculus, whereas most prior work on integrating mathematics into robotics uses only very elementary mathematical reasoning or, at the other extreme, is comprised of technical papers or books using calculus and other advanced mathematics. The exercises suggested are relevant to any differerential-drive robot, which is an appropriate model for many different varieties of educational robots. They guide students towards comparing a variety of natural navigational strategies making use of typical movement primitives. The exercises align with Common Core State Standards for Mathematics.

KW - Robotics

KW - Computer science education

KW - Mathematics of Computing

UR - https://ecommons.luc.edu/cs_facpubs/231

U2 - 10.1109/FIE43999.2019.9028394

DO - 10.1109/FIE43999.2019.9028394

M3 - Article

JO - Computer Science: Faculty Publications and Other Works

JF - Computer Science: Faculty Publications and Other Works

ER -

Exercises Integrating High School Mathematics with Robot Motion Planning

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this