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EnViSIONS at Purdue University: Measuring Spatial Visualization in Pre-Service Technology and Engineering Education Teachers K.S. Harris Technology and Engineering Education Indiana State University, Terre Haute, IN 47809 L.V. Harris Department of Computer Graphics Technology Purdue University, West Lafayette, IN 47907 M.A. Sadowski Department of Computer Graphics Technology Purdue University, West Lafayette, IN 47907

ABSTRACT

-

Post-secondary

technology

and

several areas of concentration in technology and pre-

engineering teacher education programs aid in the

engineering education are required at the university

preparation of pre-service teachers to allow them to

level.

gain certification to teach multiple areas of technology

required for the ETTE students during their college

and engineering at the primary and secondary levels

careers are in the areas of advanced manufacturing,

upon graduation. Several areas of concentration are

power/energy, bio-technology, construction, design and

available and required in the pre-service teacher’s

communications, and engineering design. The ability to

course of study.

design and manipulate different graphics in various

One of those areas addresses the

manipulation and creation of different graphics.

Some technology related courses that are

ways is paramount to the program of study, as many of

This paper focuses on a recent study that was part

the other technical courses require students to have the

of the National Science Foundation funded project:

ability to work with and apply graphic-related skills.

Enhancing Visualization Skills—Improving Options

Because of the importance of graphics- related skills in

aNd Success (EnViSIONS).

ETTE

This portion of the

computer

graphics

or

design

and

EnViSIONS project studied pre-service teacher’s ability

communications technology courses are often times

to visualize graphics prior to any formal lessons in their

completed in the freshman or sophomore years of the

pre-service program and again after using materials

pre-service ETTE program.

provided from the EnViSIONS project.

This paper focuses on a recent study that was part of the National Science Foundation’s funded project:

I. Introduction

Enhancing Visualization Skills—Improving Options

Post-secondary engineering and technology teacher

aNd Success (EnViSIONS). The EnViSIONS project

education (ETTE) programs aid in the preparation of

allows integration of spatial visualization materials

pre-service teachers allowing them to gain certification

created at Michigan Technological University and

to teach multiple areas of technology and engineering at

Pennsylvania

the primary and secondary levels. In addition to general

educational settings—the effectiveness of the materials

education, pedagogy, and teaching methods courses

are then measured through pre- and post-testing using

State-Erie

into

different

63rd Annual ASEE/EDGD Mid-Year Conference Proceedings, Berkeley, California – January 4-7, 2009

types

of

the Purdue Spatial Visualization, Mental Cutting, and

demonstrations,

Lappan Tests. This portion of the EnViSIONS project

visualization workbook (Sorby, et. al, 2003). Self-

studied pre-service ETTE teacher’s ability to visualize

directed learning through supporting materials such as

graphics prior to any formal lessons in their pre-service

the Visualization Assessment and Training VIZ website

program and again after using materials provided from

from Pennsylvania State University (2008) and

the EnViSIONS project. The purpose of this study was

interactive CD from the visualization workbook (Sorby,

to focus on the effectiveness of the spatial visualization

et. al, 2003) were given to participants to use as

modules with pre-service ETTE teachers. In addition to

resources during the course of the project; however,

reporting on descriptive data, this paper examines if the

participants were not required to use these supplemental

EnViSIONS spatial visualization modules, which

materials.

and

hands-on

exercises

in

the

included lectures and hands-on visualization materials

Participants were first educated on the nature of the

effective in increasing spatial and visualization abilities

research project, their right to elect or reject

in pre-service Engineering and Technology Education

participation, and of their rights as participants in the

Teachers.

study. After choosing to participate, participants were given

20

minutes

to

complete

Purdue

Spatial

II. Background and University Demographic

Visualization pre-test, 8 minutes to complete the Mental

The participants involved in this study were pre-

Cutting pre-test, and 8 minutes to complete the Lappan

service Engineering and Technology Teacher Education

pre-test. The pre-tests were administered to discover

(ETTE) students at Purdue University.

Purdue

participant’s base-line knowledge and skill pertaining to

University is mid-western land-grant institution located

spatial and visualization. Pre-tests were later evaluated

in West Lafayette, Indiana. The university had a total

and recorded using an alphanumeric code to ensure that

of 31,186 registered students on the West Lafayette

participants could not be identified.

campus during the fall semester of 2007 when the study

Lecture with demonstrations, class discussion, and

was conducted (Purdue University, 2007). In addition,

hands-on activities were used to introduce each of the

the ETTE major had an enrollment of 63 students

four modules that were covered in the course. The

during that time.

modules that were introduced were in the area of isometric,

III. Spatial Visualization Curriculum The context of the spatial visualization curriculum

orthographic

(orthographic

projection,

normal surfaces, hidden lines, and isometric sketching from orthographic projection),

flat

pattern,

and

was integrated as part of an existing course in the ETTE

rotational graphics (right hand rule, arrow coding,

program.

The course, Teaching Communications,

single rotation, multiple rotations, and equivalent

included curriculum that covered several different types

rotations). After being introduced to the curriculum

of communications such as video, audio, electronic,

through the lecture, participants were assigned the

graphic, and technical communications.

The spatial

corresponding workbook exercises to complete during

visualization curriculum was integrated into the pre-

lab time and as homework—the exercises were

existing graphic and technical communication areas of

completed in a self-directed manner. The EnViSIONS

the course.

modules and the course introductions to the specific

implemented

The EnViSIONS curriculum was through

the

use

of

lectures,

areas were the main sources of instruction for

63rd Annual ASEE/EDGD Mid-Year Conference Proceedings, Berkeley, California – January 4-7, 2009

participants. Not all EnViSIONS curricular materials

Past Scholastic Aptitude Testing (SAT) data that was

were used—only four lectures (isometric, flat patterns,

collected with student consent indicated the average

orthographic, and rotations), as well as the workbook

SAT math score of participants was 528 points and the

exercises that coincided with the lectures.

After

average SAT composition score was 1304 points. In

completing the modules and module evaluations

addition the average American College Test (ACT)

participants were then given the same time allotment to

math and composition scores were both 19 points.

again complete the Purdue Spatial Visualization,

Academic demographics at the time of the project

Mental Cutting, and Lappan tests as a means of post-

indicated the highest level math courses each

assessment. The EnViSIONS materials were covered

participant had successfully completed ranged from

in one condensed seminar setting that was followed by

pre-calculus (36%), to calculus III (14%) (Figure 2).

a laboratory period.

Additionally, all participants were concurrently enrolled

The adult engineering and

technology teacher education students took the book

in

an

average

of

three

Science,

Technology,

home and spent additional time out of class to complete

Engineering, or Mathematics (STEM) courses at the

all exercises

university; however, only three participants (21%) were in a concurrent math course at the time of the study.

IV. Students Enrolled in the Curriculum The Participants involved in the EnViSIONS

Table 2. Highest math course successfully completed by each participant

project at Purdue University were ETTE students

Course

n

%

enrolled in the Teaching Communications course

Pre-calculus

5

36

through the Industrial Technology Department in the

Calculus

3

21

College of Technology.

Calculus II

4

29

Calculus III

2

14

Of the 22 ETTE students

enrolled in Teaching Communications Course, 14 chose to participate in the research project. Five (36%) of the participants

were

freshman,

six

(43%)

V. Assessment

were

After comparing the pre and post evaluation scores

sophomores, three (21%) were juniors, and no seniors were participants in the study (Table 1). In addition, all

it

was

determined

that

there

was

participant

participants were classified as traditional Caucasian-

improvement in all areas of spatial and visualization

American students ranging from 18 to 24 years of age.

after the modules were completed (Refer to figure 3).

Furthermore, 13 of the participants were male and one

The mean pre-test score of the Purdue Spatial

participant was a female.

Visualization Test was 20.00 points out of 30.00 possible points. The mean post-test score was 24.00 out

Table 1. Class rank of each participant Class rank of participants (N=14)

n

%

Freshman

5

36

Sophomore

6

43

Junior

3

21

Senior

0

0

of 30.00 possible points—showing a 4.00 total point gain from pre to post assessment. The mean pre-test score of the Mental Cutting Test was 5.92 out of 10 possible points.

The mean post-test score for the

Mental Cutting Test increased by 0.08 points— bringing the mean post test total to 6.00 out of 10 possible points.

The mean pre-test score from the

63rd Annual ASEE/EDGD Mid-Year Conference Proceedings, Berkeley, California – January 4-7, 2009

Lappan test was 6.28 out of 10 possible points. The

VI. Recommendations and Future Directions

post-test indicated improvement of 1.22 points for a

Although all three spatial visualization assessments

mean post-test score of 7.50 out of 10 possible points.

indicated an increase in participant spatial visualization abilities, modules pertaining to the ability to rotate

Figure 3. Pre and post test comparison Test

Purdue

Spatial

Mean

Mean

Total

graphics appeared to have had a more positive effect on

pre-

post-

point

the pre-service teacher’s visualization and spatial skills.

test

test

gain

This was demonstrated by the statistically significant

20.00

24.00

4.00

increase in pre-and post-test scores on the Purdue Spatial Visualization Test.

Visualization Test

Although the Mental

Mental Cutting Test

5.92

6.00

0.08

Cutting Test and Lappan Test also show an increase in

Lappan Test

6.28

7.50

1.22

participant scores after completing the modules, the increases are not large enough to be considered

Although a positive gain was demonstrated in each

statistically significant with the ETTE participants.

of the post-tests, statistical significance of the gains

Therefore,

were calculated to see if the increase in the participant

introductions to rotation and self-directed use of the

scores between pre and post testing was indeed

EnViSIONS

statistically significant. In order to determine statistical

visualization abilities in relation to visualizing graphic

significance a T-test was conducted to determine if the

rotation in ETTE students; however, perhaps the use of

difference in pre and post test scores from the Purdue

more of the modules from the EnViSIONS curriculum

Spatial Visualization, Mental Cutting, and Lappan Tests

are needed during the instruction of the other areas to

were significant (Figure 4).

create a significant difference in pre- and post-

However, only the

difference between pre and post-testing on the Purdue Spatial Visualization Test was proven to be statistically

has

been

modules

determined

will

increase

that

course

spatial

and

evaluations. Based upon findings from this project, it is

The level of

recommended that the following items be further

significance of the Mental Cutting Test (0.11) and the

investigated to reach a better understanding of how

Lappan test (1.39) were not high enough to be

ETTE students can best enhance their 3-D spatial

considered statistically significant due to the low T-

visualization skills.

significant with at T-score of 1.93.

1.

scores.

students

Figure 4. Statistical significance between pre- and post-tests T-

Post-Test

score

Purdue Spatial Visualization Test Mental Cutting Test Lappan Test

to

utilize

all

aspects

of

the

EnViSIONS curricula. 2.

Pre-Test

The study be replicated requiring ETTE

M

SD

N

M

SD

N

20

6.25

14

24

4.53

14

The study be replicated with a more diverse population of ETTE students.

3.

Compare pre-test scores of ETTE participants to other participants in the EnViSIONS

1.93

project. 4. 5.92

1.54

14

6.00

2.14

14

0.11

6.28

2.43

14

7.50

2.17

14

1.39

Module evaluations should be studied to compare

module

evaluation

63rd Annual ASEE/EDGD Mid-Year Conference Proceedings, Berkeley, California – January 4-7, 2009

scores

to

participant post-test performance in specific module areas. 5.

The study should be replicated to include background

data

on

the

number

of

Engineering/Technology Education courses participants successfully completed in high school.

Then compare the number of

successfully

completed

courses

with

performance on the EnViSIONS assessments.

VII. References Purdue University Data Digest:(2007), Retrieved September 27, 2008 from http://http//www.purdue.edu/datadigest/pages/students/i ndex.htm. Sorby, S, Wysocki, A., and Baartmans, B. (2003). Introduction to 3D Spatial Visualization: an active approach. Clifton Park, NY: Thomson Delmar Learning. Visualization Assessment and Training VIZ website (2008). Pennsylvania State University, Retrieved October 13, 2008 from http://146.186.52.197/viz/.

63rd Annual ASEE/EDGD Mid-Year Conference Proceedings, Berkeley, California – January 4-7, 2009