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DOCUMENT RESUMEED 366 795CE 065 686AUTHORTITLEPUB DATENOTEPUB TYPEEDRS PRICEDESCRIPTORSDugger, William E., Jr.The Relationship between Technology,Science,Engineering, and Mathematics.Dec 9318p.; Paper presented at the Annual Conferenceof theAmerican Vocational Association (Nashville,TN,December 3-7, 1993).Speeches/Conference Papers (150)InformationAnalyses (070)MF01/PC01 Plus Postage.*Educational History; *Educational Improvement;*Educational Needs; *Educational Trends;Engineering;*Futures (of Society); Integrated Curriculum;Mathematics Instruction; Postsecondary Education;Science Instruction; Secondary Education; *TechnologyEducationABSTRACTThis paper examines the relationshipamongtechnology, science, engineering, and mathematicsinthecontext ofeducation. It strives to shape a perspectiveonhowfuturecitizensshould best be educated to live in an increasinglymore complextechnological world? The eight sections ofthe paper cover thefollowing: (1) the history of technology, science,mathematics, andtheir relationships; (2) basic definitionsoftechnology,science,engineering, and mathematics; (3) technologyandsciencecompared;(4) technology and engineeringcompared; (5) technology andmathematics compared; (6) the symbioticrelationships between andamong technology, science, engineering, and mathematics;(7) theemergence of technology as an equal partner withscienceandmathematics as a school subject; and (8)subjects versus an integrated curriculum. individual disciplineThe paper recommends thattechnology become a fundamental core schoolimportance with science and mathematics in subject that is equal inthe schools worldwide inorder to produce students who arescientifically, mathematically, andtechnologically literate to be prepared forthe future. (Contains 36references.) *************************Reproductions supplied by EDRS are the bestthat can be madefrom the original ******************************

If)C' :The RelationshipBetween Technology, Science, Engineering, and MathematicsPaper given atAmerican Vocational Association Conference, Nashville, Tn., December, 1993C.)C.T.)ByU.S DEPARTMENT OF EDUCATIONOffice ol Educattonat Reseatcn and ImprovementuCATIONAL RESOURCES INFORMATIONCENTER (ERIC,E;ThIs CH Cument nes peen reproduced asfecetne0 1,0, the oetnofi ot cnpantzattonongtnattno .1O A4,n0, changes nave Peen made to trnproverepreduCtOn (NerdyWilliam E. Dugger, Jr.Professor and Administrative Leader, Technology EducationVirginia Polytechnic Institute and State University (Virginia Thch)144 Smyth HallBlacksburg, VA 24061-0432Office Phone: (703) 231-8172 --- Fax: (703) 231-4188"PERMISSION TO REPRODUCE THISMATERIAL HAS BEEN GRANTED BYRESOURCESTO THE EDUCATIO-NINFORMATION CENTER (ERIC)."Potntsol .ww of uptntons slated tn Ints documem do not necessefity represent otfictalOER, oos,pon cr ppl.cyTechnology is the most suhtle and the most effective engineer of enduring social change. Itsapparent neutrality is deceptive and often disarming.Robert MaclverTechnology has become a major force that transforms and adds new dimensions to our lives. It hasbecome the predominant change agent in our lives today to such a degree that we wonder if it isgetting out of hand. Technology can both create problems as well as solve them. A major questionabout the technological world is posed by the American Association for the Advancement ofScience in its Project 2061 publication Technology when it states: "Who will develop and controlthe technologies so that they can best serve all citizens?" The answer to this fundamental questionhas to be, in a democratic society, a better educated citizenry who are technologically literate andcapable. The school subject which can provide this fundamental education to all citizens in thefuture about the discipline of technology is technology education.Technology education is a new subject area in the schools today. In most countries in the world,technology education is less than a decade old thus it is still in the developmental process. With theevolution of the discipline called technology, there naturally are some different opinions on what itis and where it should be taught. Some view technology as a part of science curriculum, whileothers think that it is more closely allied with engineering. Some countries place technology as acomponent of vocational education. Others believe that technology should be taught in anintegrative manner with mathematics, science, social studies and other subjects (the science,technology, society -STS movement is a good example of this).What should be the relationship between technology, science, engineering, and mathematics i;ieducation in the future? How should future citizens be best educated to live in an increasingly morecomplex technological world?In the publication "America's Academic Future" which was a report of the National ScienceFoundation Presidential Young Investigator Colloquium on U.S. ri gineering, Mathematics andScience Education for the Year 2()00 and Beyond, it was presented 1;lat our society in the nextBEST anrerrr2

2decade should be as follows:We envision a society in which the public regards science, mathematics andtechnology as relevant to their personal lives. Engineers, mathematicians, andscientists are perceived by the public as vital to society, and scientific andtechnological literacy are well defined. Engineering, mathematics, and scienceconcepts and contributions are communicated effectively to all segments ofsociety, principally through formal instruction in our schools and universitiesbut also through informal out-of-class educational opportunities andprograms. The public can apply the principles of science to the solution of theireveryday problems.What Does History Tell Us?Technology is not about tools, it deals with how humans work.Peter DruckerTechnology, science, and mathematics are all human enterprises; however, according to historians,technology far precedes science, engineering, or mathematics in their development. About 2.4million years ago, the first recorded technology documented that humans created primitive toolsusing the process of chipping the edges away from stones. This research, which was done by Dr.Richard Leakey and others at the Koobi Fora site in northern Kenya, showed that our ancestorswere creating these tools to cut with and to scrape the meat which was used for food. This processwas also used to produce primitive clothing from animal pelts. This provided an early record ofhow we as humans adapted our natural world to modify and alter it in order to improve it. Over themillennium, we have refined this human capability to create, control, and solve problems.We have become more than just being tool makers. Likewise, technology is much greater than theproducer of artifacts which provide both comfort and clutter. In the book titled The Scientist(Margenau, 1964), it is stated that humans have pursued scientific knowledge since the Stone Age(5000-100,000 years BC). The first phase of this pursuit was pragmatic experimentationwhich was best characterized as discovery by trial and error. The second level of sophisticationwas logical analysis and proof which the Greeks developed. The third level was the evolutionof the scientific method (1590-1690) which grew out of the brilliant works of men like Galileo,Kepler, Newton, Bacon, Gilbert, Boyle, van Leeuwenhoek, Huygens, Descartes, Harvey, Halley,Hooke, and others. In a response to an interested admirer, Albert Einstein once wrote a brief, butvery insightful, response regarding the historical development of science as follows: "Dear Sir,Development of Western Science is based on two great achievements, the invention of the formallogical system (in Euclidian geometry) by the Greek philosophers, and the discovery of thepossibility to find out causal relationship by systematic experiment" (which was the scientificmethod developed in the Renaissance period).In a very real sense, civilization itself depends on the evolution of technology so aptly deliveredthrough engineering. The record of ancient engineer's achievements is preserved in the survivingremnants of their work scattered throughout the world. Engineering had its formal beginningabout 3000 years BC with the building of many temples, tombs, and pyramids along the valley ofthe Nile by the Egyptians. The largest of these is the Great Pyramid at Gizeh which stands todayand is enjoyed as one of the greatest technological feats ever accomplished. The title: "engineer",however, was not created until the Middle Ages when the builders of battering rams, catapults, andother "engines" of war were called ingeniators by Latin writers. Engineering, along with thepriesthood and soldiering, is one of the earliest professions to emerge after humans achieved3

3civilization. (Furnas, 1966)Mathematics had its beginnings when humans began to count with the invention of numbers.Prehistoric humans had very limited need to count. Later, about 10,000 years ago, nomadic StoneAge hunters became farmers because of the reutating glaciers. This caused a need for a system tokeep up with such matters as when to plant; identifying the days and seasons; knowing how muchgrain to store and later to replant; and developing a monetary system (Bergamini, 1963). Much ofwhat we do today mathematically is still based on the 10-based or "decimal" numbering system.This is named after the Latin word decima, which means tenth or tithe. Also, a numbering systemusing a 20-base (10 fingers and 10 toes) was developed and used over the centuries. Today, thebinary (base-2) numbering system has allowed us to develop sophisticated digital computersystems which rely in microelectronic integrated circuits to perform mathematical computationswith giga-second (.000000001 sec.) speed.hmIn their simplest form, how can technology, science, engineering, and mathematics be defined?What are the school subjects that teach about these three disciplines?There are many definitions of technology which can be found in the literature today. Many of thesedefinitions are obtuse or complex. One of definitions which can be used when comparingtechnology to science or mathematics is:"Technology is a study of our human created and controlled worldand universe." (Dugger, 1993)Again, technology education is the school subject which teaches about how we, as humans, createthe technological (non-natural) world around us. In the AAAS Project 2061 report titled,Technology, a recommendation is given that:T echnology education should reveal the process of technology as it evolvesideas to fruition, This can best be learned using laboratoty experiences toaugment classroom instruction. Likewise, such education should show howtechnology affects individuals and society.Technology education should be appropriate to the students' age andexperience. It should begin with descriptive material and then involveprinciples and concepts, incorporating direct experience at all levels.Technolpgy education that includes social impacts as well as the technicsprovides the opportunity to integrate the two in newly formulated curricula,possibly making increased use of teaching.The sciences and mathematics are important to the understanding of theprocesses and meaning of technology. Their integration with the technologyeducation curricula is vital. (AAAS, p. 3)Currently, technology education is found in the educational systems in the world as both an electivecourse as well as a required course in grades K-12. Technology education should not be confusedwith "educational technology." The first teaches "about technology" while the latter teaches "with4

4technology" and it is the media part of education. Science has been defined by the NationalResearch Council in their work on developing the Science Education Standards and Assessmentfor the United States as follows:"Science is a study of our natural world and universe" (NationalResearch Council, 1992)According to the National Committee for Science Education Standards and Assessment of theNational Research Council, science education or school science:". introduces young people to the scientific way of understanding ournatural world. That aspect of school science content centered onscience subject matter focuses on the body of information (facts,concepts, laws, theories) that the scienufic community has developed increating its interpretations of the natural world. (National ResearchCouncil, 1992, p6)This committee which is currently developing the science education standards, also states that thesubject matter of school science should be limited to the traditional natural science disciplines ofbiology, chemistry, physics, earth and space sciences.Engineering is defined by the Accreditation Board for Engineering Technology (ABET) as follows:"Engineering is the profession in which knowledge of themathematical and natural sciences gained by study, experience,and practice is applied with judgment to develop ways to utilize,economically, the materials and forces of nature for the benefit ofmankind."In 1952, the American Society for the Engineering Education commissioned a study ofengineering and published a report which had a profound influence on modernizing the educationof engineers. This report which was titled the "Grinter Report" deemphasized the "art andpractice" approach to engineering and provided more focus on the science of engineering. It calledfor: "an integrated study of engineering analysis, design, and engineering systems for professionalbackground, planned and carried out to stimulate creative and imaginative thinking, and makingfull use of the basic and engineering sciences" (ASEE). Engineering has a symbiotic relationshipbetween science and technology. The movement towards fundamentals created by the GrinterReport has emphasized both natural sciences and engineering sciences in engineering education.The teaching of the fundamentals and principles in engineering provide a stable core content in anever changing technological world.In the new draft copy of the American Association for the Advancement of Science, Project 2061"Benchmarks for Scientific Literacy," a definition for mathematics is presented as:"Mathematics is a study of all conceivable abstract patterns andrelationships" (American Association for the Advancement ofScience, 1993, Project 2061 Draft of Benchmarks for ScientificLiteracy)The AAAS Project 2061 is in the process of producing a coordinated set of reform tools foreducators to use in their efforts to achieve literacy in science, mathematics, and technology, as5

5outlined in Science for All Americans. A component of these tools are the Benchmarks which arestatements of what all students should know or be able to do in science, mathematics, andtechnology by the end of grades 2, 5, 8, and 12.In 1989, The National Council of Teachers of Mathematics (NCTM) developed a set of nationalstandards for the mathematics profession. The NCTM Standards state that schools must insure thatall students must have an opportunity to become mathematically literate, are capable of extendingtheir learning, have an equal opportunity to learn, and become informed citizens capable ofunderstanding issues in a technological society. The Standards articulate five general goals for allstudents: (1) that they learn to value mathematics, (2) that they become confident in their ability todo mathematics, (3) that they become mathematics problem solvers, (4) that they learn tocommunicate mathematically, and (5) that they learn to reason mathematically. There are four majorcomponents which make up the standards which are: (1) standards for teaching mathematics, (2)standards for the evaluation of the teaching of mathematics, (3) standards for the professionaldevelopment of teachers of mathematics, and (4) standards for the support and development ofmathematics teachers and teaching.Technology and Science ComparedScience and technology are different, :et there are symbiotic areas where both overlap andcontribute to each discipline. Technology is much more than applied science and science is quitedifferent from theoretical technology. When one alters the natural world using technology, itimpacts both science and technology. Science is dependent upon technology to test, experiment,verify, and apply many of its laws, theories, and principles. Likewise, technology is dependentupon science for its research, laws, principles, and knowledge base.What are the similarities and differences between technology and science? A comparison isprovided in Table 1.TABLE 1COMPARISON OF TECHNOLOGY & SCIENCETECHNOLOGYSCIENCEInvolved with our human created world.Involved with our naturalworld/universe.Concerned with "how to."Concerned with "what is."Knowledge created and being created.Knowledge discovered or beingdiscovered.More directly involved.Detached.Generates knowledge forits own sake.Guided by trial and error or skilled approachesderived from the concrete.Guided by hypotheses deducedfrom theory.Concerned about the solution of problems andapplication of knowledge to that solution.Concerned with reality and itsbasic meaning.

6Used in combination with suchwords as:Used in combination with such words as:Theory, Theoreticalprinciples, Research,Generalization fromtheoryApplication, Instrumental principles,Tools, Response to perceived needs,Artifacts, Practice, Effectiveness,Empirical laws, Invention, Innovation,Its success or failure is usually determined bysocial acceptance and success in the marketplace.Its success is rjot judged byAction oriented & requires intervention.Research/theory oriented.Involved constantly in studying means-endsrelationships.Remains separate from what isbeing investigated.Systems oriented.Laws/principles oriented.Making/doing things.Understanding things.Philosophical relation: pragmatism.Philosophical relation: realism.Dependent on Science and Mathematics.Dependent on Technology andMathematics.social utility.Technology and Engineering ComparedThe comparison of engineering and technology indicate remarkable similarities. Manyreferences use engineering and technology synonymously. Both engineering and technologytreat solving practical problems as their philosophical nucleus. In fact, the "engineeringdesign method" cited by Wright in his Introduction to Engineering text is the same problemsolving method used in many technology books (1989). Engineering could be considered asa very refined area of study and professional endeavor of the broader discipline oftechnology. Herbert Simon suggested that science deals "with things the way they are"whereas, in technology [engineering], one deals "with things the way they ought tobe."(1969).Table 2 provides a juxtaposed comparison of technology and engineering.TABLE 2COMPARISON OF TECHNOLOGY & ENGINEERINGTECHNOLOGYENGINEERINGInvolved with our human created andcontrolled world.Involved with utilizing the materialsand forces of nature for the benefit ofmankind.Concerned with "how to."Concerned with "how to."7

7More directly involved.Very specifically involved.Guided by trial and error or skilled approachesderived from the concrete.Guided by a more theoretical studywith specific solutions recommended.Concerned about the solution of problems andknowledge to that solution.Concerned about the solution ofproblems and knowledge to thatsolution.Used in combination with suchwords as:Used in combination with suchwords as:Application, Instrumental principles,Tools, Response to perceived needs,Effectiveness, Doing, Invention, Innovation,Empirical laws,Engineering, Design,.Practicality, Vision, Ingenuity,Research, Design, Systems,Analysis, Application,Technology, Invention,Innovation,.Its success or failure is usually determined bysocial acceptance and success in themarketplace.Its success or failure is usuallydetermined by social accepta

integrative manner with mathematics, science, social studies and other subjects (the science, technology, society -STS movement is a good example of this). What should be the relationship between technology, science, engineering, and mathematics i;i education in the future? How should future citizens be best educated to live in an increasingly more

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