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Funded by a grant from the National Science Foundation. Any opinions, findings, conclusions or recommendations expressed
are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Pretest: Introduction to 3-D Spatial Visualization
Prepared by: Sheryl Sorby, Ph.D.
Amy Hamlin, Ph.D.
Norma Veurink
ENG1002: Introduction to 3-D
Spatial Visualization
 Instructor:
 Dr. Sheryl Sorby
 Teaching Assistant
 Morgan Hansen
 Office Hours:
 9 am  12 pm Tues or by appointment
 Text/Software  Introduction to 3D Spatial
Visualization  an active approach by Sorby and
Wysocki
Course Objective
 To improve spatial visualization skills
Why Spatial Visualization?
 Spatial Skills
- have been a topic for educational research for the past
100 years
- are considered to be one of the seven human
intelligences
- have been shown to be important to success in more
than 84 careers
 Spatial skills are particularly important for engineering and
technological careers
- are important to the design process
Spatial Skills Can Be Learned!
Spatial Skills: Stages of
Development
 Topological Skills
 Projective Skills
 Euclidean Skills
Spatial Skills: Stages of
Development
 Topological Skills
 2-D skills, closeness of an object to other objects,
order in a group
 Usually acquired in early childhood if exposed to
spatial stimuli (drawing, puzzles, building blocks,
erector sets, video games, etc.)
Spatial Skills: Stages of
Development
 Projective Skills
 3-D skills, determine what an object looks like from
another perspective
 Usually acquired by 18 years old, however, some
people may not have had the opportunity to fully
develop these skills
Spatial Skills: Stages of
Development
 Euclidean Skills
 3-D in combination with concepts of measurement,
such as distance, area, volume
 Many individuals never acquire these skills
Developing Spatial Skills
 Skills are developed through practice
 Sketching has been found to be a key
 Working with hand-held or computer models has
been shown to be effective
 In this class, we will use all of these techniques to
help you develop your spatial skills
Course Structure
 Pre-testing first day, post-testing last day
 Ten instructional modules
 15-20 minute lecture on topic for the day
 Student teams work through the software module
 Individual students work on assignment for day
 Two quiz days
 Students take an online test or work with puzzles or
games for extra credit points
 Quiz follows work with on-line test or puzzles
 Attendence = 10% of course grade
Grade Allocation
 Quizzes 30%
 Homework 40%
 Attendence 10%
 Final Exam 20%
A 92-100
AB88-91
B 82-87
BC 78-81
C 70-77
D 62-70
F <62
Spatial Tests
 Spatial pre- and post-tests administered to assess
student learning
 PSVT:R will be a part of your final exam for this course
 The Mental Cutting Test and the Mental Rotations Test
will be given as a pre-test and also as part of your final
exam for this course
Purdue Spatial Visualization Test:
Rotations (done during orientation week)
 Used at Michigan Tech to identify students who
have not fully developed spatial skills
Mental Rotations Test
(Two four minute tests)
 Five figures are given, with the figure on the left
the target figure. Two of the remaining four
figures are rotated versions of the target figure.
 Fill in the Scantron bubbles corresponding to the
two figures which are rotated versions of the
figure on the left.
 Test will be given in two segments.
Mental Cutting Test (20 Minutes)
 Part of a College Entrance Exam from the 1930s
and 40s
 An object is given with an imagined cutting plane
 Objective is to choose the resulting cross section
Next Time . . .
 Module 8: Surfaces and Solids of Revolution
 Bring your book to class!!!!

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Sorby, 2013, Introduction_to_3-D_Spatial_Visualization.ppt

  • 1. Funded by a grant from the National Science Foundation. Any opinions, findings, conclusions or recommendations expressed are those of the authors and do not necessarily reflect the views of the National Science Foundation. Pretest: Introduction to 3-D Spatial Visualization Prepared by: Sheryl Sorby, Ph.D. Amy Hamlin, Ph.D. Norma Veurink
  • 2. ENG1002: Introduction to 3-D Spatial Visualization Instructor: Dr. Sheryl Sorby Teaching Assistant Morgan Hansen Office Hours: 9 am 12 pm Tues or by appointment Text/Software Introduction to 3D Spatial Visualization an active approach by Sorby and Wysocki
  • 3. Course Objective To improve spatial visualization skills
  • 4. Why Spatial Visualization? Spatial Skills - have been a topic for educational research for the past 100 years - are considered to be one of the seven human intelligences - have been shown to be important to success in more than 84 careers Spatial skills are particularly important for engineering and technological careers - are important to the design process
  • 5. Spatial Skills Can Be Learned!
  • 6. Spatial Skills: Stages of Development Topological Skills Projective Skills Euclidean Skills
  • 7. Spatial Skills: Stages of Development Topological Skills 2-D skills, closeness of an object to other objects, order in a group Usually acquired in early childhood if exposed to spatial stimuli (drawing, puzzles, building blocks, erector sets, video games, etc.)
  • 8. Spatial Skills: Stages of Development Projective Skills 3-D skills, determine what an object looks like from another perspective Usually acquired by 18 years old, however, some people may not have had the opportunity to fully develop these skills
  • 9. Spatial Skills: Stages of Development Euclidean Skills 3-D in combination with concepts of measurement, such as distance, area, volume Many individuals never acquire these skills
  • 10. Developing Spatial Skills Skills are developed through practice Sketching has been found to be a key Working with hand-held or computer models has been shown to be effective In this class, we will use all of these techniques to help you develop your spatial skills
  • 11. Course Structure Pre-testing first day, post-testing last day Ten instructional modules 15-20 minute lecture on topic for the day Student teams work through the software module Individual students work on assignment for day Two quiz days Students take an online test or work with puzzles or games for extra credit points Quiz follows work with on-line test or puzzles Attendence = 10% of course grade
  • 12. Grade Allocation Quizzes 30% Homework 40% Attendence 10% Final Exam 20% A 92-100 AB88-91 B 82-87 BC 78-81 C 70-77 D 62-70 F <62
  • 13. Spatial Tests Spatial pre- and post-tests administered to assess student learning PSVT:R will be a part of your final exam for this course The Mental Cutting Test and the Mental Rotations Test will be given as a pre-test and also as part of your final exam for this course
  • 14. Purdue Spatial Visualization Test: Rotations (done during orientation week) Used at Michigan Tech to identify students who have not fully developed spatial skills
  • 15. Mental Rotations Test (Two four minute tests) Five figures are given, with the figure on the left the target figure. Two of the remaining four figures are rotated versions of the target figure. Fill in the Scantron bubbles corresponding to the two figures which are rotated versions of the figure on the left. Test will be given in two segments.
  • 16. Mental Cutting Test (20 Minutes) Part of a College Entrance Exam from the 1930s and 40s An object is given with an imagined cutting plane Objective is to choose the resulting cross section
  • 17. Next Time . . . Module 8: Surfaces and Solids of Revolution Bring your book to class!!!!