Journal of Computers in Mathematics and Science Teaching

Volume 16, Number 4 1997


Contents


Retraining High SchoolTeachers Retraining High School Teachers in the FundamentalPrinciples of Computer Science

Paul De Palma 429

Computer-SupportedApprenticeships in Math and Science

Molly Nicaise 443

Spatial Skills andComputer-Enhanced Instruction in Calculus

Betty Travis and Elizabeth Lennon 467

Creating PolyhedralModels by Computer

Michael Eisenberg and Ann Nishioka 477

A Computer-InterfacedO2 Probe: Instrumentation for Undergraduate

Chemistry Laboratories

Gary E. Adamson, James R. Zimmerman, and Mary B. Nakhleh 513

Data Logging WithPortable Computers: A Study of the Impact on Graphing Skills inSecondary Pupils

Yael Friedler and Angela E. McFarlane 527

Negotiating aTechnological Shift: Teacher Perception of the Implementation ofGraphing Calculators

Marcia L. Tharp, James A. FitzSimmons, and Robin L. BrownAyers 551

Virtual Labs

Ruth Russo 577


Abstracts


Retraining High SchoolTeachers in the Fundamental Principles of Computer Science

Paul De Palma

Department of Mathematics and Computer Science
Gonzaga University
Spokane, WA 99258-0001, USA
depalma@gonzaga.edu

The discipline of computer science has barely penetrated the highschool curriculum. This is surprising when one considers that primaryand secondary schools own 4.5 million computers and that universitydegree programs in computers science have proliferated in the past 15years. In fact, the number of high school students writing programshas declined considerably in recent years. The dearth of computerscience instruction in secondary schools may be due less to studentsthan to their teachers. Specifically, lack of teacher andadministrator training has led to some fundamental misunderstandingsabout computer science as a discipline. We propose a program toretrain high school teachers of science and mathematics to teachcomputer science. This program will run two summers and contribute toa master’s degree.

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Computer-SupportedApprenticeships in Math and Science

Molly Nicaise

Math/Science/Technology Initiative
University of Missouri-Columbia
Columbia, MO 65211, USA
COUNMN@showme.Missouri.Edu

One of the more promising areas in promoting learning forunderstanding has been advanced by the area of situated cognition,and there is growing interest in creating technological tools basedon cognitive research. Described in this paper are several exemplarsof software that emulate and incorporate machine-supported aspects ofcognitive apprenticeships in science and mathematics. Cognitiveapprenticeships embed learning in social and physical activitiessimilar to craft apprenticeships of the 17th and 18th centuries.Modern apprenticeships are used to provide rich, exploratoryenvironments and to teach students how to construct knowledge,conceptualize problems, or develop problem-solving skills. In thispaper, the author suggests that some software can support complexlearning in math and science. The paper concludes with an evaluationof software against cognitively guided principles and with asummarization of the difficulties associated with creating andimplementing machine-supported apprenticeships.

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Spatial Skills andComputer-Enhanced Instruction in Calculus

Betty Travis and Elizabeth Lennon

Division of Mathematics, Computer Science, and Statistics
University of Texas at San Antonio
San Antonio, TX 78249, USA
btravis@lonestar.utsa.edu

A pilot program was developed to study the use of computersoftware to enhance spatial skills presumed to be related to successin calculus. In particular, it addressed the effects of such aprogram on female and minority students. The objectives were to (a)explore the effect of the use of the computer on enhancing spatialskills, (b) relate spatial ability to success in calculus, (c)consider gender and ethnic differences, and (d) explore other factorswhich might influence spatial skill development. Results indicatedthat the combined effect of the computer, drawing/drafting, andgender variables produced a significance level under .01 and wereable to explain 31% of the variance in test scores. Both gender andthe drawing/drafting variables reached significance on the meancalculus test scores.

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Creating PolyhedralModels by Computer

Michael Eisenberg and Ann Nishioka

Department of Computer Science and Institute of CognitiveScience
University of Colorado, Boulder
Boulder, CO 80309-0430, USA
ducks@cs.colorado.edu

Described in this paper is a computer application named HyperGamithat permits users to design, explore, decorate, and study a richvariety of paper polyhedral models. In structure, HyperGami is a“programmable design environment,” including both a directmanipulation interface as well as a domain-enriched programmingenvironment based on the Scheme language; the application is thusdesigned to be accessible to students of geometry while providingchallenging projects for long-term or expert users (such asprofessional mathematicians and designers). In the course of thispaper, we describe the HyperGami interface and language, illustratethe construction of “customized polyhedra” of various sorts, discussthe results of our initial experiences using the system in workingwith middle school students, and argue for the utility of embeddingprogramming languages in educational design environments such as thisone.

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A Computer-InterfacedO2 Probe: Instrumentation for Undergraduate Chemistry Laboratories

Gary E. Adamson, James R. Zimmerman, and Mary B. Nakhleh

Department of Chemistry
Purdue University
West Lafayette, IN 47907-1393, USA
mnakhleh@purdue.edu

This paper describes interfacing a hand-held oxygen probe with amicrocomputer and also suggests experiments for undergraduatechemistry courses that could facilitate students’ understanding ofaquatic environmental processes involving dissolved oxygen (DO). Theprobe’s response is linear over the 0-14 parts per million (ppm)range, and the data are graphed on-screen in real time. Data can beanalyzed through the program or exported into other software. Samplerate, sampling time, and number of data points can be specified inthe program. The results of an experiment to detect light /darkcycles of photosynthesis by Anacharis are discussed, and otherpossible experiments are indicated. Some student evaluations of theprobe are also included.

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Data Logging WithPortable Computers: A Study of the Impact on Graphing Skills inSecondary Pupils

Yael Friedler

The School of Education and the Israel Science TeachingCentre
The Hebrew University of Jerusalem
Givat-Ram, Jerusalem 91904, Israel

Angela E. McFarlane

IT Unit
Homerton College
Cambridge, CB2 2PH, England
A.E.McFarlane@BTInternet.com.uk

The understanding of line graphs when used as a model of therelationship between variables involves a level of abstraction whichis inaccessible to many pupils, even at the age of 16. There is someresearch evidence which suggests that the use of data logging (alsoknown as microcomputer-based laboratory or MBL) to produce dynamicgraphs can help bridge this conceptual gulf. The study reported hereintroduced data logging, using portable computers, as part of aninvestigative approach to science. This activity was embedded in thenormal science curriculum and delivered by the usual class teachers.Working with control and experimental classes of 14- and16-year-olds, the results of pre- and posttest comparisons suggestthat the use of data logging can have an impact on graphing skills at14, which is not necessarily repeatable at 16.

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Negotiating aTechnological Shift: Teacher Perception of the Implementation ofGraphing Calculators

Marcia L. Tharp

Department of Education, Curriculum, and Instruction
Old Dominion University
Norfolk, VA 23529, USA
AlanS@chcs.pvt.k12.va.us

James A. FitzSimmons

Educational Theory and Practice\
Mathematical Physical Sciences
The Ohio State University
Columbus, OH 43210, USA

Robin L. Brown Ayers

Mathematics Department
Western Kentucky University
Bowling Green, KY 42101, USA

The purpose of this research was to examine the perceptions ofteachers as they engaged in initial instruction using graphingcalculators. Data collected from 261 mathematics and science teachersof grades 6-12 who participated in a 4-month Virginia Network forTechnology (VANT) Outreach interactive telecourse, included pre- andpostquestionnaires and journals describing their instruction.Overall, participant views changed significantly (p <.001) infavor of viewing the graphing calculator as a “thinking tool” toenhance conceptual understanding and expand exploration ofmathematics and science topics. However, an analysis of data fromquestionnaires shows a significant correlation between holding a morerule-based viewpoint about learning mathematics and the view thatgraphing calculators do not enhance instruction and may even hinderit (tau_hat = .394, p <.001). In contrast, less rule-basedparticipants were more willing to adopt the use of calculators as anintegral part of instruction. When journals were coded, rule-basedteachers were found to be more likely to use procedural thaninquiry-oriented approaches to learning (p <.01) and to judgesuccess of an instructional activity based on student emotionalreactions rather than indications of conceptual understanding (p<.05). Implications for integrating graphing calculators intoinstruction using inquiry are discussed in this article.

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Virtual Labs

Ruth Russo

Chemistry Department
Whitman College,
Walla Walla, WA 99362, USA
russorn@whitman.edu

Computers are powerful tools in science education and have greatpotential for sparing the lives of animals in teaching laboratories.However, in areas of physiology education, virtual labs are not asrich a learning experience for the advanced students as are liveanimal labs. The frequency, complexity, and idiosyncratic nature ofthe data gained in pharmacological experiments demand creative,synthetic thinking from students. In addition, the revulsion thatstudents experience in sacrificing lab animals is itself a valuableeducation.

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