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Computer-Based Concept Mapping

 

 

Jennifer Parkinson

Editing and Statistical Analysis by: Cara Marshall

 

Dr. Zevin

May 8, 2002

 



Introduction

In society today technology is all around us.  Every job utilizes computers in one way or another, from cashiers in grocery stores to executives in corporations.  It is our duty as teachers to prepare our students for life as productive citizens. 

Social studies classrooms must be able to meet the demands of the new electronic or knowledge society.  Students will need to develop communication, critical thinking, problem solving, and interpersonal skills.  These skills translate into the human capital that individuals carry with them as they move through economic society.  Possession of these skills allows individuals to confidently pursue knowledge-related jobs and opportunities.  Using technology in social studies and other curriculum areas is important because the workplace will demand skills that relate to computer use” (Stanley, 213). 

 

To that end, in the past 20 years, there has been a push toward implementing computer instruction into the curriculum.  This has been accomplished through the creation of computer labs and mini-labs in mainstream classrooms.  Teachers have been instructing computing skills as well as teaching general subject areas through the incorporation of technology.  There has been considerable debate regarding the effectiveness of instruction through the computer.  This is known as ‘The Digital Divide’. 

E-Rate

The federal government has recently taken notice of the importance of technology in the classroom.  The government has invested in E-Rate, a grant program which provides funding for economically challenged primary and secondary schools to purchase hardware and telecommunications products.

The growing recognition of the importance of new telecommunication technologies came at a time of growing concern over the ‘digital divide’ separating individuals and communities that have access to these tools from those that do not.  Although Congress was not ready in1996 to include advanced services to the home as key component of universal service, lawmakers did see public access to these tools in schools and libraries as a stepping stone to developing a modern communications infrastructure in communities.  Faced with the likelihood that the latest information and communications tools probably would not reach our public schools and local libraries for a long time, policymakers felt compelled to take steps to meet the infrastructure needs of these institutions (Carvin, 5). 

 

My Experience

As a teacher my lessons depend on technology; I am the computer coordinator.  It is not only my responsibility to teach students how to use technology and how to learn through technology, but also to teach my fellow teachers how use technology as a tool within their classrooms. 

Many teachers are intimidated by technology.  When asked, some teachers told me that they felt as if they were not needed anymore if the Internet can do everything.  My response was that the Internet is too vast to be navigated without a teacher’s guidance.  The majority answered with, “well that is not in the curriculum” and felt as though they do not have the time to do the necessary research. 

Software on CD-ROMs

I find software on CD-ROMs to work well for teachers who are fearful or apprehensive.  CDs are virtually foolproof, very user-friendly, and allow for the use of technology in a non-threatening way.  Programs on CD-ROM, such as ‘Reader Rabbit’, read to the students and provide the teacher with dittos in order to help students develop comprehension.  These reading programs often come in the form of units and touch on many areas of the curriculum.  Educational games also come on CD-ROM.  Many scholars disapprove of educational games, mostly because they are ‘drill and kill’.  From my own observations, students tend to become bored quickly by these games because there is not much critical thinking involved. 

A program, also available on CD-ROM, which really gets the older students excited, is called ‘Tom Snyder’s Decisions Decisions’.  This program incorporates technology with student reactions.  Groups work together to solve a problem presented by the computer.  Each group of four students role-plays to decide on each of the decisions that they face. 

Laptops

When teachers use any kind of technology inside the classroom, the lesson can get interesting.  I find laptops to be a real attention-getter.  Laptops and handheld computers give students direct access to the software being utilized and allow them to follow along and take notes.  "With a Palm handheld computer, a teacher or student can do amazing things: access the Internet wirelessly, take notes, read books, calculate, sketch ideas, collect data, access resources, manage activities and courses and instantly beam information" (www.palm.com).  

The Internet

            The Internet is a source of information, a gateway to: libraries, universities, laboratories, museums, other countries, and all sorts of other educational resources.  Social studies in particular is a subject that can be dulled by the memorization of facts, outdated textbooks, and opinions that are ‘politically correct’.  The Internet grants access to the works of many authors and primary documents that editors may omit. 

On-line historical archives offer access to primary sources in many novel formats and allow novices to undertake the advanced kinds of inquiry that scholars normally do, while bringing their own questions and concerns to bear.  Communication forums on the Web enable students to participate in the ongoing construction of historical meaning with a wide assortment of other people.  Composition and publishing tools such as computers and camcorders enable students to visualize historical complexities and change, and develop and express their understanding of the way that personal and local history connect to history on a larger scale.  And historical simulations place students ‘back in time’, not simply to drink up the atmosphere of a different period, but to role-play and problem solve, and in doing so develop historical knowledge and skills.  (Bruner and Tally, 47). 

Inspiration Concept Mapping Software

The program that I will be experimenting with is called ‘Inspiration’.  This program is a concept mapping software package, which provides students with an opportunity to work on their computer skills as well as introducing them to the learning skills associated with concept mapping.  The students can map their thoughts in their own format or the teacher can assign a template for students to fill in and follow.  If the students have a hard time understanding how to use the program, there are always written directions on the bottom of the template.  The template is a great way for teachers to give notes.  If each student has a laptop or a handheld computer they can follow along with the teacher’s notes and fill them in as needed. 

                        For teachers, concept maps are useful tools for analyzing and planning units of study and for identifying gaps in the curriculum. Like an architect's blueprint, a concept map represents complex ideas, their organization, and their importance. Further, concept mapping can be used to analyze textbooks, thereby revealing the suitability of the conceptual development of the text in terms of teachers' preferences and students' needs (Romance and Vitale).

 

The illustration depicted below is a concept map template generated through Inspiration software. 

www.Inspiration.com

Theory

      Concept mapping has been studied extensively.  In most studies, concept mapping was proven to be a sound method for students to use when organizing their thought processes.  
            Concept mapping allows thinkers, readers, and writers to translate ideas and concepts into a visual, graphic display that they can use for reading or writing assignments. When teachers construct graphic networks on the chalkboard, overhead, or chart paper, students see how the ideas they will read or write about connect with their previous knowledge about a topic.  (Sinatra, 267).  
            
            Concept mapping has been helpful inside the classroom since the 1960’s. One of the men who helped implement the use of concept maps was Professor Joseph D. Novak at Cornell University, who followed the work of David Ausubel.  Ausubel believed that prior knowledge was key to learning. 
            Ausubel (1968) subsequently advanced a hierarchical memory theory in which new concepts and their relationships are integrated hierarchically into existing cognitive structures.  Another approach to characterizing cognitive structure stems from associationist memory theory (Deese, 1962, 1965). Deese was among the first to use word association tasks to analyze components of cognitive structure. Associationist memory models are not limited to hierarchical structure, but, instead, allow for different types of relationships between concepts, including hierarchical ones. Since the 1970s, the most prevalent methods for assessing students' cognitive structures have been based on associationist theoretical foundations, including word association, card sorting, graph building, and similarity ratings (Goldsmith, Johnson, & Acton, 1991; Preece, 1976a, 1976b, 1976c; Shavelson, 1972, 1974; Shavelson & Geeslin, 1975). Studies in several domains show significant correlations between the similarity of students' and experts' cognitive structures and measures of achievement (Diekhoff, 1983; Fenker, 1975; Herl & Dennis, 1993; Shavelson & Stanton, 1975). (Herl 209).
 
            In one study, Richard Sinatra used concept mapping in a colleague’s classroom and tracked the results.  He concluded that concept mapping works especially well for at-risk students.  
            Over the years we have found that applying and practicing the construct implementation plan works for students at all grade levels and may benefit at-risk, low-achieving students to a high degree. Positive reading comprehension results have been shown for special education youngsters (Sinatra, Stahl-Gemake, and Berg 1984), for remedial reading students (Sinatra, Berg, and Dunn 1985), for third through fifth grade children in compensatory reading programs (Sinatra and Pizzo 1992), and for college freshman who applied maps with writing after reading selections that displayed four styles of text organization (Sinatra, Stahl-Gemake, and Morgan 1986). Stronger writing improvement was shown for some of the college freshman and also for at-risk fourth graders who wrote sequentially organized essays over a half-year or full-year period.
            (Sinatra 271).
 
A researcher wanted to perform a study using her nursing students to determine whether concept mapping could enhance the students’ critical thinking skills.  
            
            Faculty within the culminating clinical course in a baccalaureate-nursing program elected to use concept maps to foster the links between the theoretical and clinical components of the course. Course and clinical faculty invested time in learning to use concept maps. Six senior clinical groups (n = 54) were taught to use concept maps as a learning strategy. During the first week of class, students were taught how to create concept maps. After this introductory session, students completed concept maps on the scenario given to them in class. This map was used to demonstrate their understanding of mapping, and they discussed the maps in their clinical groups. (Daley 45).
   
 The results of Daley’s study were positive, the class did consist of some students who did not like concept mapping, but results were still positive.
Data analysis demonstrated a group mean score of 40.38 on the first concept map and 135.55 on the final concept map, for a difference of 98.16. The t value comparing the first concept map to the final concept map was -5.69 (p = .001). The data indicated a statistically significant difference between the first and final map. This difference is indicative of the students' increase in conceptual and critical thinking. (Daley 46). 
 
Daley most likely conducted an autoregessive time series statistical analysis to measure the improvement of her subjects over time.  She measured the effectiveness of concept maps with regard to critical and conceptual thinking.           
            The foundations and reasons for utilizing concept maps in the classroom has remained the same throughout the years, however implementation of concept maps has changed drastically from the 1960’s.  A concept map can be presented many different ways, from webbing to spreadsheets.  With the advancements in technology, concept mapping has become digitized.   
               Computers have changed the face of many paper-and-pencil tasks, not excluding concept mapping.  Many researchers found that computers provide certain benefits when using them for concept mapping.
            Over the past several years, the Center for Electronic Studying at the University of Oregon has been investigating the use of computers to facilitate concept mapping. Such computer-based concept mapping enables teachers and students to draw and redraw their concept maps in an electronic environment, thus making changes to a map's content and structure relatively easy. Concept mapping with a computer has greatly enhanced teachers' and students' willingness to use concept mapping for instructional purposes, because electronic maps transcend page size, are easy to create, and are dramatically faster to revise than their paper-and-pencil counterparts.  (Anderson-Inman 7).
 
Concept mapping on the computer does have some obvious downsides, for example:
·       Not all classrooms have computers.
·       Many teachers are afraid or averse to using the computer.
·       There are occasionally technical difficulties associated with computers. 
 
Despite these and other issues, many people support concept mapping through technology.
            Jonassen (1990) proposes that few of the computer tools used today for learning have been designed as learning tools. Usually educators use existing tools for teaching purposes. According to Jonassen, concept mapping computer tools belong to the rare category of computer tools that were designed specifically for learning.   http://www.ericit.org/digests/EDO-IR-1997-05.shtml
 
            
Eric Plotnick the associate director of ERIC Clearinghouse on Information and Technology wrote an article, “A Graphical System for Understanding the Relationship between Concepts”.   He explains the benefits of concept mapping and also touches on the advantages of technology when using concept mapping.  
 
Once you have a concept map on paper, try to fit in those forgotten concepts or the ideas you came up with overnight and you will know the advantages of computer assisted concept mapping. Anderson-Inman and Zeitz (1993) compare the use of the concept mapping program "Inspiration" with the paper-and-pencil approach and found that using this program ‘encourages revisions to the concept map because deletions, additions, and changes are accomplished quickly and easily.’ (Plotnick 42).
 
My experience with Inspiration software has been similar to Eric Plotnik’s.  I find it to be user-friendly and the students seem to like the software.  
Most computer assisted concept mapping tools allow the user to point and drag a concept or group of concepts to another place on the map and automatically update all the appropriate links. (Plotnick 43).
 
I find this to also be true.  When students want to change their maps it is easy for them.  This is a great advantage because students always seem to change their minds.  Paper and pencil makes the students hesitant to change their concept maps because they don’t want to erase or start over. 
Once a concept map is created using a computer, the program usually allows the user to convert the map to different electronic formats. These can be vector or bitmapped images, a text outline, or even a hypertext structure. These electronic formats can then be stored, sent, manipulated, used, printed, and deleted just like any computer file. (Plotnick 43).
 
I have not asked students to convert their concept maps to any other programs as of yet.  I currently do not see a need for doing so, although it is beneficial to have the option to save the file in different file types for greater versatility.  
Computer assisted concept mapping allows for digital storage of concept maps. Digital storage takes less space, makes retrieval easier, and is especially important if concept maps will be used on a large scale. (Plotnick 43).
 

Storage has it’s pro’s and con’s.  Of course you can store more on a hard drive then in your bag, but the computer cannot go with the students.  Backups are on disk but can become damaged and/or lost.  I feel that when using a concept-mapping program, students should print their file, as well as saving to disk, so that there is a hard copy. 

Research Method

My research study centers on the effectiveness of Inspiration software for concept mapping.  The importance of this study is to determine the effectiveness of technology when incorporated into a social studies curriculum. 

Inspiration’s program designers claim that the visual learning techniques in their software: improves clarity in the thinking process, reinforces understanding, integrates new knowledge, and assists students in identifying misconceptions. 

Students see how ideas are connected and realize how information can be grouped or organized. With visual learning, new concepts are more thoroughly and easily understood. Students recreate, in their own words, what they've learned. This helps them absorb and internalize new information, giving them ownership of their ideas. Diagrams updated throughout a lesson prompt students to build upon prior knowledge and internalize new information. By reviewing diagrams created previously, students see how facts and ideas fit together. (http://www.inspiration.com/vlearning/index.cfm)

 

To test Inspiration’s ability to enhance learning techniques, I will use the instructions that Inspiration prescribes. 

Demographics

            The student makeup in the school in which this study was conducted, and the student makeup of the sample itself, is almost entirely of Haitian descent.  The school is located in Queens, NY, one of the five boroughs of New York City, an urban area consisting of students who are largely recent immigrants.  The school is a private, Catholic institution but approximately 30% of the students and their families are not practicing Catholics.  All students wear a uniform and are expected to maintain a certain level of integrity in order to continue their enrollment.  Tuition costs approximately $3,000 a year (with discounts for siblings), however much of the tuition is subsidized through charity.  Forty percent of the school’s student body is eligible for discounted or free school lunch.  According to E-Rate, this school is at 80% poverty level (they double the figure to come up with what they feel is a more accurate portrayal since many students’ families do not file the paperwork required to label their financial status) and thus is eligible for technology and communication grants at an 80% discount. 

            The sample for this study was made up of 40 7th graders, ranging from the age of 12-14 years.  The students were paired off into groups of 2.  Students were asked to work with the peer who sat next to them.  Twenty-three of the subjects were male, and 17 were female.  Nine groups were gender mixed, and 11 were same gender.  Out of the 11 same-gender groups, 7 groups were male and 4 were female.  We should assume that this sample is representative of the school as a whole’s demographic makeup. 

            Two teachers were involved in conducting this study.  One teacher was a 27 year old male who had been teaching in the school for 2 years, the other was a 24 year old female who was a first year teacher.  Both of whom are the primary 7th grade teachers and students are familiar with them. 

Pre-Test

            To begin my research study, I familiarized the students with Inspiration software.  I taught a lesson instructing them on how to use Inspiration’s tool box, how to maneuver throughout the program and how to create a concept map from start to finish using the program.  The students were already familiar with concept mapping, or webbing.  They had been working with concept maps in language arts from the beginning of the school year. 

            Next I administered a pre-test to asses the students’ understanding of the software.  The topic that the pre-test covered was Government in 1776, the start of the unit in the 7th grade curriculum.  Students were not allowed to use textbooks or ask for a teacher’s assistance regarding the topic.  I wanted to see how much knowledge they could express on their own.  They were asked to work in groups of 2 and were allowed to refer to the teacher for assistance on the software itself.

 

Data Collection

The first concept map was assigned to students in class 7-1 on the topic: ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’.  These students used Inspiration to create their concept maps.  The students in class 7-2 used paper and pen for the same topic.  The students are arranged in the same grouping for both learning mediums.  The classes received the following directions:

 

1.     Work together to create a concept map on the following topic: ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’

2.     Use any material you like on the topic

3.     Do not worry about wrong information or spelling

4.     Do not ask any group or teacher for an idea

5.     Use any feature available to you

6.     You are allowed to talk quietly about the task at hand

7.     Be creative

 

The second concept map was assigned to students in class 7-2 on the topic: ‘What does the American Flag mean?’.  These students used Inspiration to create their concept maps.  The students in class 7-1 used paper and pen for the same topic.  The students are arranged in the same grouping for both learning mediums.  The classes received the following directions:

1.     Work together to create a concept map on the following topic: ‘What does the American Flag mean?’

2.     Use any material you like on the topic

3.     Do not worry about wrong information or spelling

4.     Do not ask any group or teacher for an idea

5.     Use any feature available to you

6.     You are allowed to talk quietly about the task at hand

7.     Be creative

 

Elimination of Bias

To eliminate topic bias, I have given both classes the same topics and alternated the learning medium as described above.   To eliminate student bias, I have maintained the same student grouping throughout all aspects of the project.  To eliminate grading bias, I have given the scoring matrix and concept maps to an unrelated person for grading.  The grader was a third year college student who is studying education and uses concept maps in her classroom experiences and her studies.  To eliminate time bias, I have set a time limit of 35 minutes for each session. 

Scoring Matrix

 

I will begin with some definitions:

Connections: The branches between points.

Major points: Points that consist of concepts or main ideas.

Minor points: Descriptive points which branch from major points.

 

Quantitative Measures

The quantitative variables for concepts map testing are:

 

·       The number of connections

·       The number of major points

·       The number of minor points

 


 

Qualitative Measures

The qualitative variables for concepts map testing are:

·       Quality of the position in which ideas are grouped

·       Quality of answers (testing conceptual thinking)

·       Score using Nancy Fichtman Dana’s Concept Map Scoring Rubric

 


Nancy Fichtman Dana’s Concept Map Scoring Rubric:

Level 4

A level 4-concept map is exciting (and perhaps even inspiring!) to examine.  A level 4-concept map accurately conveys to the instructor an original but viable understanding of what the student knows about the topic and what information is known concerning the topic.  The map contains concepts that emanate from a variety of sources including: class sessions, textbook and other reading, unit preparation and personal thoughts and experiences.  The map should read in such a way that the viewer can easily tell the difference between major and minor points and can easily follow the connections made.  Connections that are made must be necessary and must be made with care - there must be evident reason for making any connections.  There is evidence that the concept map was well planned.  The map represents considerable effort, learning, growth and reflection.

 

Level 3

A level 3-concept map is satisfactory, but lacks the creativity and evidence of personal growth and reflection apparent in a level 4-concept map.  There is evidence that the student has spent quality time working on the project, but more personal growth and reflection is needed to come to a richer understanding of what it means to learn the topic.  The map contains concepts that emanate from a variety of sources including class sessions, textbook and other reading, unit preparation and personal thoughts and experiences.  As with a level 4-concept map, the viewer should be able to distinguish between major and minor ideas as well as follow and comprehend all connections.  There is a lack of connection between the format and basic ideas put forth by the map’s creators.  The map represents considerable effort.

 

Level 2

A level 2-concept map demonstrates an understanding of material presented throughout the unit but is limited in the number of concepts presented or is too great in the number of concepts presented and therefore the connections made between these concepts are superficial and difficult to follow.  The map is dominated mainly by concepts emanating from one or two sources only (class sessions or text) and the map creators mainly rely on a pre-established organization of ideas for presenting the concept map (for example, the map may be presented in a creative format, but there is a lack of connection between the format and the basic idea put forth by the map’s creators.)  Portions of the map may not represent a personal grounded understanding of the topic.  It is clear that more personal growth and reflection is needed to come to a richer understanding of the topic.

 

Level 1 

A level 1-concept map shows a lack of preparation, planning and depth.  Major concepts may be lacking, and/or there is no apparent underlying theme or rationale for connections made between concepts.  It is clear that the student had put little or no effort into the concept map creation.

Please see appendix for examples of students’ work that demonstrates each of these four levels.

Results

 

It is important to note:

20 computer-based concept maps were tested.

20 paper-based concept maps were tested. 

 

For medium, ‘Computer’ signifies that the map was computer-based.  ‘Paper’ signifies that the map was paper-based. 

 

For topic, ‘Flag’ signifies that the map was developed for the ‘What does the American Flag mean?’ topic.  ‘Government’ signifies the ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic. 


Computer Generated Concept Maps

Quantitative Results


            The chart below depicts the quantitative scoring results of the computer-based concept maps in the study:

 

 

For the computer-based concept map test, with regard to the quantitative scoring, the average score on the number of connections was 3.35.  The average score on the number of major points was 3.5.  The average score on the number of minor points was 2.85.  The average of the average quantitative scores on the computer-based concept maps is: 3.23. 


Qualitative Results


The chart below depicts the qualitative scoring results of the computer-based concept maps in the study:

 

For the computer-based concept map test, with regard to the qualitative scoring, the average score on the quality of positioning was 2.95.  The average score on the quality of answers was 3.2.  The average score using Nancy Fichtman Dana’s Concept Map Scoring Rubric was 3.1.  The average of the average qualitative scores on the computer-based concept maps is slightly lower than the quantitative results: 3.08.


Paper Generated Concept Maps

Quantitative Results

The chart below depicts the quantitative scoring results of the paper-based concept maps in the study:


For the paper-based concept map test, with regard to quantitative scoring, the average score on the number of connections was 2.7.  The average score on the number of major points was 3.1.  The average score on the number of minor points was 2.3.  The average of the average quantitative scores on the paper-based concept maps is: 2.7. 


Qualitative Results

The chart below depicts the qualitative scoring results of the paper-based concept maps in the study:


For the paper-based concept map test, with regard to qualitative scoring, the average score on the quality of positioning was 2.6.  The average score on the quality of answers was 2.5.  The average score using Nancy Fichtman Dana’s Concept Map Scoring Rubric was 2.6.  The average of the average qualitative scores on the paper-based concept map is slightly lower than the quantitative scores for paper-based: 2.57. 


Quantitative Results - Comparison

Under quantitative measures, the computer-based concept maps scored 3.23 while the paper-based scored 2.7.  This is a difference or 0.53 or 13.33% (0.53/4 since the scores are standardized out of a possible high score of 4).  This implies that computer-based learning is more effective than paper-based. 

There was a 0.65 difference, or 16.25%, (again since the scores are standardized out of a possible high score of 4, we can divide by 4 to see the percent of difference) between the average scores on the number of XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX:XXXXXXXXXXXXXXXXXXXXXXXXX difference of 0.4, or 10%, on the number of major points variable.  There was a 0.55, or 13.75% difference on the number of minor points variable.  These three factors can be contributed to two things.  The first factor is time.  Many students find it faster to type rather than to print.  The second factor is space.  There are limitations to the amount of space a paper allows for printing, however the computer will automatically fit the concept map to a standard page.  A student may start a map on paper and run out of space quickly due to poor planning or large print. 

Qualitative Results - Comparison

Under qualitative measures, the computer-based concept maps scored 3.08 while the paper-based scored 2.57.  This is a difference or 0.52 or 12.92%.  This also implies that computer-based learning is more effective than paper-based. 

There was a 0.35, or 8.75%, difference in the average scores on the quality of positioning.  I expected this variable to have a greater difference, since the software will allow students to re-arrange their placement.  Although this is time consuming, it is more efficient than erasing and re-writing in paper and pen. 

There was a 0.7, or 17.5%, difference in the average scores on the quality of answers and is the most significant difference.  This also surprises me and I can’t explain the variance.  The computer-based concept maps were conducted last and this may have contributed to the quality of answers.  However, students have practice using paper-based concept maps throughout the school year, so it shouldn’t have an effect. 

There was a 0.5, or 12.5%, difference in the average of scores using Nancy Fichtman Dana’s Concept Map Scoring Rubric.  This does not come as a surprise, since it reflects the average of all scores.  

Topic Variance Analysis

Results by Topic – American Flag - Quantitative


Further, I have gathered the scores sorted by topic and the results are given in the charts below.  The first chart displays the quantitative measures for the ‘What does the American Flag mean?’ topic concept map test. 

For the ‘What does the American Flag mean?’ topic concept mapping test, with regard to quantitative scoring, the average score on the number of connections was 3.05.  The average score on the number of major points was 3.3.  The average score on the number of minor points was 2.5.  The average of the average quantitative scores on the ‘What does the American Flag mean?’ topic concept mapping test is: 2.95. 

Results by Topic – American Flag - Qualitative

The chart below displays the qualitative measures for the ‘What does the American Flag mean?’ topic concept map test. 


For the ‘What does the American Flag mean?’ topic concept map test, with regard to qualitative scoring, the average score on the quality of positioning was 2.75.  The average score on the quality of answers was 2.7.  The average score using Nancy Fichtman Dana’s Concept Map Scoring Rubric was 2.75.  The average of the average qualitative scores on the ‘What does the American Flag mean?’ topic concept map is: 2.73. 

Results by Topic – Government - Quantitative

The chart below displays the quantitative measures for the ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic concept map test. 


For the ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic concept map test, with regard to quantitative scoring, the average score on the number of connections was 3.  The average score on the number of major points was 3.3.  The average score on the number of minor points was 2.65.  The average of the average quantitative scores for ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic concept map is: 2.98. 

Results by Topic – Government - Qualitative

The chart below displays the qualitative measures for the ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic concept map test. 


For the ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic concept map test, with regard to qualitative scoring, the average score on the quality of positioning was 2.8.  The average score on the quality of answers was 3.  The average  score using Nancy Fichtman Dana’s Concept Map Scoring Rubric was 2.95.  The average of the average qualitative scores for ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic concept map is: 2.92. 

Quantitative Topic Results - Comparison

            Under quantitative measures, the ‘What does the American Flag mean?’ topic scored 2.95 while the ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic scored 2.98.  This is a difference of 0.03 or 0.83%.  This implies that there was virtually no difference between topics, though it wouldn’t have mattered if there was, since both classes experienced each topic. 

Qualitative Topic Results - Comparison

Under qualitative measures, the ‘What does the American Flag mean?’ topic scored 2.73 while the ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic scored 2.92.  This is a difference of 0.18 or 4.58%.  This implies that though a slightly greater difference, there was still virtually no difference between topics, using qualitative measures, though again it wouldn’t have mattered if there was, since both classes experienced each topic. 

Please see appendix for statistical results based on topic variance. 

Statistical Analysis

 

We’ve drawn conclusions based on the data, but the next step is to determine whether or not the model has statistical significance.  If the model is statistically significant, we can broaden our conclusion that computer-based concept mapping outperforms paper-based concept mapping to an overall generalization.  If the model is good, we would expect that concept mapping in various schools is better taught on the computer than on paper.


We combined the quantitative measures with the qualitative measures (as depicted in the chart below) and used a statistical software package (SPSS version 10.0), to run multiple linear regression.  This will determine the model’s statistical significance. 

 

Null Hypothesis:                     This is not a good model.

Alternative Hypothesis:          Reject the null hypothesis (the model has statistical significance).  

 

N = 40

 

Dependent Variable:               Computer-based concept mapping software

Independent Variables:

            X1 = Number of Connections

            X2 = Number of Major Points

            X3 = Number of Minor Points

            X4 = Quality of Positioning

            X5 = Quality of Answers

            X6 = Dana’s Rubric

 

 

 

            R Square is a measure that can help us correlate the variance in results with the independent variables.  R Square is adjusted (adjusted R Square) to take into account the size of the sample.  If the sample size is large, R Square will be close to adjusted R Square, however if the sample size is small, R Square will differ from adjusted R Square.  Either way, a statistician should use the measure of adjusted R Square to explain variance.  In our case, the adjusted R Square illustrates that the independent variables that we used (the scoring measures) can explain 13.2% of the variance in concept mapping medium (paper or computer).  This is a low proportion and is evidence that the model is not statistically significant.  Additionally, the difference between R Square and adjusted R Square is evidence that our sample size was too small. 

            The ANOVA table above depicts a p-value of 0.095.  At a confidence interval of 95%, the p-value indicates that we cannot reject the null hypothesis (the slope is close to or equal to zero).  Thus the interpretation is that this case study lacks statistical significance at the 95% confidence level.  However, we can say with 90% certainty that the model is statistically significant.  The p-value is below 0.10 (it is 0.095), so at a confidence interval of 90% this case study does hold statistical significance. 

 

Note: the variable labeled ‘Overall’ is Dana’s Rubric measure.

            According to the coefficients data, the regression model indicates an unstandardized value for a concept map of -0.174 if the scoring variables were at zero.  However, logic dictates that a concept map score can never be negative.  Therefore, a more appropriate regression is one that forces the intercept term (B0) to be zero.  You’ll notice that the standardized value of the intercept term (B0) depicts the results when the intercept term is zero. 

            The low p-value for X1, Number of Connections (0.038), indicates that while the model as a whole is not statistically significant at 95%, Number of Connections is a good measure for correlation.  Additionally, X5, Quality of Answers, is a good measure for correlation as demonstrated by its low p-value (0.043). 

            The other four variables are not good measures.  X2, Number of Major Points, has a p-value of 0.11, which is slightly out of range for a 95% level of confidence.  X3, Number of Minor Points, has a p-value of 0.235, which is out of range for a 95% confidence.  X4, Quality of Positioning, has a p-value of 0.28, which is also out of range for a 95% confidence.  X6, Dana’s Rubric has the highest p-value (0.492), making it the worst measure for correlation. 

 

 

            According to the residuals statistics, the errors are slightly right-skewed but are very close to being evenly distributed, illustrating that the model is stable. 

Statistical Conclusions

To summarize the statistical data, using a 95% confidence interval there is statistical significance for X1, the Number of Connections variable, because significance is 0.038 (less than 0.05).  There is also statistical significance with 95% confidence for X5, the Quality of Answers variable, because significance is 0.043 (less than 0.05)

For the model overall, using a 95% confidence interval we cannot reject the null hypothesis.  Thus the interpretation is that with 95% confidence this case study lacks statistical significance.  Adjusted R Square is very close to 0 and on the ANOVA table, the p-value is close to but greater than 0.05.  However, we can conclude with 90% confidence that computer-based concept mapping is superior to paper-based.  We cannot say at a 95% level of confidence that the model adds value.  That doesn't mean that the model doesn't have value, only that we cannot reject the null hypothesis at 95%.  Since there is some evidence it does add value (and there does not appear to be any evidence that it detracts value), and it would seem to be that it does no harm to use the computer versus paper; there is potential good and no potential harm.  Additionally, use of the computer adds a valuable skill independent of the purpose of the exercise. 

Limitations

            The sample, and its size, of a study should be a function of the variation in the population parameters, as well as the precision needed by the researcher.  In our study, we did not have the option of choosing a sample that would be reflective of the population as a whole.  Additionally, the students in the study were not chosen in a simple random fashion.  Pairing up of students into groups was not conducted at random either.  Students were asked to work with the peer who sat next to them.  The students seating arrangement was decided upon by their primary teacher.  Both teachers had seated the students according to their height order unless a behavioral problem arose, at which time seating arrangements were changed to curb the behavior. 

This school’s demographic makeup is not representative of the United States’ demographic makeup, particularly in terms of: class, race, culture, lifestyle, and religion.  The school is typical of many urban and suburban areas in the U.S. in the way that populations tend to be voluntarily segregated based on culture, religion, race, lifestyle, and class.  However, if we were interested in generalizing the results of this study for the U.S. as a whole, the sample makeup should be representative of the general population (in terms of diversity following the same ratios as the population). 

Another limitation to this study was the small sample size (N). 

Some principles that influence sample size include:

 

·       The greater the dispersion or variance within the population, the larger the sample must be to provide estimation precision.

·       The greater the desired precision of the estimate, the larger the sample must be.

·       The narrower the interval range, the larger the sample must be.

·       The higher the confidence level in the estimate, the larger the sample must be.

·       The greater the number of subgroups of interest within a sample, the greater the sample must be, as each subgroup must meet minimum sample size requirements.

·       If the calculated sample size exceeds 5 percent of the population, sample size may be reduced without sacrificing precision.  (Cooper and Schindler, 172). 

 

In particular, three of these principles directly influence our study.  We desire a 95% confidence interval, which implies that the sample should be large.  In addition, the interval range of our scoring method (1-4) is very narrow.  This also implies that the sample size should have been large. 

Extraneous Factors

            One factor, which may or may not have had an effect on the performance of the students in the sample, is the sudden death of their math teacher (one of the primary 8th grade teachers).  She passed away approximately 2 months before the study was conducted.  She was widely known and respected among the student body.  Initially, I had planned on conducting my study on the 8th grade.  However, after Mrs. Germano passed away I felt that a study on those students would be biased since one class would have been more affected than the other.  Though the seventh grade was negatively affected by her passing, as was the entire school, I do not believe that either one of the 7th grade classes were more affected by the tragedy. 

Conclusion

            In conclusion, in my research study computer-based concept maps have proven better than paper-based.  I found the students to be more involved when using Inspiration software.  They were more excited to show me their work, and in general the computer-based concept maps were: neater, more thorough, and scored higher on all of the measures I used. 


            Let’s examine a few groups in particular.  We’ll look at the quantitative measures, since they are objective (see the chart below).

 

It’s important to note that 11 groups benefited from the computer, while 5 performed better on paper.  Four groups scored the same on both mediums.  It is interesting to see that the groups’ that performed best on the computer tended to score significantly higher on the computer, whereas for those that tended to perform best on paper theirs scores did not improve as drastically.  This proves that there is no ‘best’ teaching style.  A multiple learning style environment benefits the most students. 

 

 


Works Cited

 

Anderson-Inman, Lynne and Leslie Ditson, “Computer-Based Concept Mapping: a tool

for negotiating meaning” Learning and Leading with Technology 26 no8 6-13

May '99.

 

Brunner, Cornellia and William Tally.  The New Media Literacy Handbook An        

Educator’s Guide to Bringing New Media Into The Classroom.  Doubleday, New

York, 1999.

 

Carvin, Andy.  “The E-Rate in America: A Tale of Four Cities”.  The Benton Foundation,

Feb 2002. 

 

Cooper, Donald R and Pamela Schindler.  Business Research Methods Seventh Edition. 

McGraw-Hill Higher Education, New York, 2001.

 

Daley, Barbara J., Christine R. Shaw, Toni Balistrieri, Kate Glasenapp and Linda

Piacentine.  “Concept Maps: A Strategy to Teach and Evaluate Critical

Thinking”.  Journal of Nursing Education 38 no1 42-7 Ja '99. 

 

Herl, Howard E. and  Eva L. Baker.  “Construct Validation of an Approach to Modeling

Cognitive Structure of U.S. History Knowledge”.  The Journal of Educational

Research Washington, DC v89 p206-18.

 

Plotnick, Eric.  “A Graphical System for Understanding the Relationship between

Concepts”.  Teacher Librarian 28 no4 42-4 Ap 2001.

 

Romance, Nancy R. and Michael R. Vitale.  “Concept Mapping as a Tool for Learning:

Broadening the Framework for Student-Centered Instruction”.  College Teaching

47 no2 74-9 Spr '99

 

Stanley, William, Critical Issues In Social Studies Research for the 21st Century.

Information Age Publishing, Connecticut, 2001.

 

Steinberg, Shirley R. and Joe L. Kincheloe.  Students As Researchers Creating

Classrooms That Matter.  Falmer Press Teachers’ Library, London, 1998.

 

http://www.ericit.org/digests/EDO-IR-1997-05.shtml

 

www.inspiration.com

 

http://www.inspiration.com/vlearning/index.cfm

 

www.palm.com

Appendix


Multiple Regression performed on Topic

(‘What does the American Flag mean?’ topic verses  ‘Issues that the U.S. Government faced during the 1780’s and 1790’s’ topic)

 

Null Hypothesis:                     This is not a good model.

Alternative Hypothesis:          Reject the null hypothesis (the model has statistical significance).  

 

N = 40

 

Dependent Variable:               Topic for Concept Map

Independent Variables:

            X1 = Number of Connections

            X2 = Number of Major Points

            X3 = Number of Minor Points

            X4 = Quality of Positioning

            X5 = Quality of Answers

            X6 = Dana’s Rubric

 

In this scenario, rejecting the null hypothesis would tell us that there is a significance to the difference with regard to concept maps performed on one topic verses the other.  If we cannot reject the null hypothesis, we can conclude that there is no statistical significance to the difference between concept map performance for one topic verses the other.  In essence, we hope that this is not a good model.

 

 

 

            In this case, adjusted R Square is negative.  It is very close to zero (-0.088), indicating that the independent variables that we used (the scoring measures) cannot explain the variance in topic.  This is evidence that the model is not statistically significant.

 

 

               The ANOVA table above depicts a p-value of .823.  At a confidence interval of 95%, the p-value indicates that we cannot reject the null hypothesis (the slope is equal to zero).  The p-value indicates that this model is very far from being statistically significant.  Thus the interpretation is that this is not a good model.  We can conclude that there is no statistical significance to the difference between concept map performance for one topic verses the other.