Mathematical Art Christopher Hanusa Queens College, City University - - PowerPoint PPT Presentation

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Mathematical Art Christopher Hanusa Queens College, City University - - PowerPoint PPT Presentation

Jan 12, 2023 281 likes •620 views

Guiding and Grading Mathematical Art Christopher Hanusa Queens College, City University of New York qc.edu/~chanusa @mathzorro @hanusadesign Course Details Queens College Urban Commuter Campus Diverse Student Population Christopher

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Guiding and Grading Mathematical Art

Christopher Hanusa

Queens College, City University of New York

qc.edu/~chanusa @mathzorro @hanusadesign

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Course Details

  • Queens College

– Urban Commuter Campus – Diverse Student Population

Christopher Hanusa Guiding and Grading Mathematical Art

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Course Details

  • Queens College

– Urban Commuter Campus – Diverse Student Population

  • Math with Mathematica

– First course in computing – Varied math, programming levels – Satisfies writing requirement

Christopher Hanusa Guiding and Grading Mathematical Art

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Teaching Philosophy

  • Give students the tools to succeed

– Stand-alone tutorials – Comprehension Questions

Christopher Hanusa Guiding and Grading Mathematical Art

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Teaching Philosophy

  • Give students the tools to succeed

– Stand-alone tutorials – Comprehension Questions – How to: Documentation Center – One-on-one help

Christopher Hanusa Guiding and Grading Mathematical Art

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Teaching Philosophy

  • Give students the tools to succeed

– Stand-alone tutorials – Comprehension Questions – How to: Documentation Center – One-on-one help

  • Make learning active

– Goal oriented: Projects – Inspires creativity – Each gains unique knowledge

Christopher Hanusa Guiding and Grading Mathematical Art

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Projects

  • 1. Tutorial for a math class

(4 weeks)

  • 2. Piece of Mathematical Art

(4 + 1.5 weeks)

  • 3. Design an Interactive Interface

(5 weeks)

Christopher Hanusa Guiding and Grading Mathematical Art

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Projects

  • 1. Tutorial for a math class

(4 weeks)

– Learn specialized commands – Basic Mathematica concepts – Instills collaborative spirit

  • 2. Piece of Mathematical Art

(4 + 1.5 weeks)

  • 3. Design an Interactive Interface

(5 weeks)

Christopher Hanusa Guiding and Grading Mathematical Art

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Mathematical Art Project

  • Goals

– 3D Printing Process – 3D Design in Mathematica

Christopher Hanusa Guiding and Grading Mathematical Art

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Mathematical Art Project

  • Goals

– 3D Printing Process – 3D Design in Mathematica – Creativity in Mathematics – Interdisciplinarity

Christopher Hanusa Guiding and Grading Mathematical Art

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Mathematical Art Project

  • Goals

– 3D Printing Process – 3D Design in Mathematica – Creativity in Mathematics – Interdisciplinarity

  • Deliverables

– Artwork – Mathematica notebook – Four-page writeup

Christopher Hanusa Guiding and Grading Mathematical Art

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Guiding: Framework

  • Mathematical basis
  • Techniques: 3D modeling, functional

Christopher Hanusa Guiding and Grading Mathematical Art

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Guiding: Framework

  • Mathematical basis
  • Techniques: 3D modeling, functional
  • Artistic considerations taken into account

– Visit by Matt Greco, QC Art Department

Christopher Hanusa Guiding and Grading Mathematical Art

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Guiding: Framework

  • Mathematical basis
  • Techniques: 3D modeling, functional
  • Artistic considerations taken into account

– Visit by Matt Greco, QC Art Department

  • Commensurate with math, programming levels

Christopher Hanusa Guiding and Grading Mathematical Art

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Guiding: Framework

  • Mathematical basis
  • Techniques: 3D modeling, functional
  • Artistic considerations taken into account

– Visit by Matt Greco, QC Art Department

  • Commensurate with math, programming levels
  • Critiqued, refined, revised multiple times
  • Timeline to stay on track

Christopher Hanusa Guiding and Grading Mathematical Art

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Guiding: Tutorials

  • 2D Graphics (reminder of 2D coords)
  • 3D Graphics (thinking in 3D coords)
  • 3D Design

(making printable, ⤳STL)

  • MeshRegions (more advanced capabilities)

Christopher Hanusa Guiding and Grading Mathematical Art

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  • 2D Graphics (reminder of 2D coords)
  • 3D Graphics (thinking in 3D coords)
  • 3D Design

(making printable, ⤳STL)

  • MeshRegions (more advanced capabilities)

New! Minimal Working Examples

  • 4 weeks to prototype, 1 week for revision

Guiding: Tutorials

Christopher Hanusa Guiding and Grading Mathematical Art

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How to grade this?

Christopher Hanusa Guiding and Grading Mathematical Art

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How to grade this?

Different answers for different people!

Christopher Hanusa Guiding and Grading Mathematical Art

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Grading Scheme

Artwork (30%)

  • Intrigue
  • Mathiness
  • Computational

Techniques Organization (25%)

Christopher Hanusa Guiding and Grading Mathematical Art

Writeup (45%)

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Grading Scheme

Artwork (30%)

  • Intrigue
  • Mathiness
  • Computational

Techniques Organization (25%)

Christopher Hanusa Guiding and Grading Mathematical Art

Writeup (45%)

  • Artistic Qualities
  • Math, Programming

Discussion

  • Revision Process
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Grading Scheme

  • Timeliness
  • Name and

Description

  • Worksheet

Organization

  • Writeup Style

Artwork (30%)

  • Intrigue
  • Mathiness
  • Computational

Techniques Organization (25%)

Christopher Hanusa Guiding and Grading Mathematical Art

Writeup (45%)

  • Artistic Qualities
  • Math, Programming

Discussion

  • Revision Process
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Grading (is also Guiding)

  • Transparency
  • Give weight to what I value.

– Skill Development

Christopher Hanusa Guiding and Grading Mathematical Art

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Grading (is also Guiding)

  • Transparency
  • Give weight to what I value.

– Skill Development – Intentionality – Creative Process

Christopher Hanusa Guiding and Grading Mathematical Art

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Grading (is also Guiding)

  • Transparency
  • Give weight to what I value.

– Skill Development – Intentionality – Creative Process – Revision Process – Thoughtfulness

Christopher Hanusa Guiding and Grading Mathematical Art

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Grading (is also Guiding)

  • Transparency
  • Give weight to what I value.

– Skill Development – Intentionality – Creative Process – Revision Process – Thoughtfulness – Aesthetics

Christopher Hanusa Guiding and Grading Mathematical Art

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Grading (is also Guiding)

  • Transparency
  • Give weight to what I value.

– Skill Development – Intentionality – Creative Process – Revision Process – Thoughtfulness – Aesthetics – Student responsibility

Christopher Hanusa Guiding and Grading Mathematical Art

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Success!

Trip to Shapeways April 29, 2015

Christopher Hanusa Guiding and Grading Mathematical Art

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Student Comments

Christopher Hanusa Guiding and Grading Mathematical Art

  • “This project allowed me to let my imagination soar while

still learning about math concepts and modeling.”

  • “The art project was challenging but still managed to be

fun … extremely satisfied when the object came to life.”

  • “I learned how to think in three dimensions.”
  • “Having a physical copy of the project was one of the

greatest things ever.”

  • “I like the creative freedom that we given to complete this

project.”

  • “The trip was very informative and was also very fun to
  • attend. Thanks again Professor.”
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Difficulties

  • 3D Design

in Mathematica is finicky

Christopher Hanusa Guiding and Grading Mathematical Art

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Difficulties

  • 3D Design

in Mathematica is finicky

  • 3D Printing

is finicky

– Printability – Build in lots of time!

Christopher Hanusa Guiding and Grading Mathematical Art

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  • Standards-based

Grading Scheme

  • More tutorials

about three- dimensional mathematics

Difficulties

  • 3D Design

in Mathematica is finicky

  • 3D Printing

is finicky

– Printability – Build in lots of time!

Future

Christopher Hanusa Guiding and Grading Mathematical Art

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Thank YOU!

  • Shapeways and

Lauren Slowik!

  • My students, who

amaze and inspire EVERY TIME!

> Courses Course Materials

hanusadesign.com

Mathematical Jewelry

qc.edu/~chanusa

Christopher Hanusa Guiding and Grading Mathematical Art

> Research > 3D Design 3D Design in Mathematica > Research > Talks Slides Available > Portfolio Mathematical Art Gallery