Science and Mathematics Education Center Funded Projects 1990-2000

The following are brief descriptions of funded projects within the Center from 1990 - 2000. Several of the projects were re-funded multiple times. More details can be found in individual project proposals and in resulting materials. 
 


Geographic Information Systems: Testing Conditions for Classroom Implementation  
R. Audet - P.I.

The purpose of this project is to study several pilot programs whose central feature is GIS/GPS technologies; to identify issues that appear to have been critical for successful implementation of GIs/GPs in these new programs; and to test these implementation issues in a different educational setting. 
 


Differential Equations: A Dynamical Systems Approach  
P. Blanchard - P.I. 
R. L. Devaney, M.I. Freedman, and
G. R. Hall - Co.-P.I.'s
 
This project produced a large-scale revision of the traditional sophomore-level ordinary differential equations course. The new course emphasizes qualitative theory throughout with a distinct dynamical systems orientation. The course provides a brief introduction to difference equations as a prelude to discussions of differential equations. The computer is used frequently to analyze solutions and to provide an earlier and more detailed discussion of nonlinear systems.

See the ODES page.


Teaching Differential Equations Using a Dynamical Systems Perspective  
P. Blanchard - P.I. 
R. L. Devaney - Co-P.I. 

This project aimed to promote a new style of differential equations instruction, one that emphasizes concepts and applications and one that involves faculty members from both the mathematics and engineering communities. The goal was to promote a style of differential equations instruction that better engages and serves students throughout their college and professional careers.  


Curriculum Resources in Energy Science and Technology(Project CREST)  
K. Brecher - P.I. 

The goal of this planning grant project was to review energy-based materials used in the precollege curriculum and analyze the methods and materials that have been most effective. Its goal was to outline a way to develop materials which are appropriate for middle and high school students who are at risk of failing in mathematics and science. Modules were planned which focus on topics of interest to students, particularly in their home environments. Energy is the unifying theme, but content would be drawn from all areas of science. Many of the concepts would be developed through hands-on and microcomputer-based activities.


Light Inquiry Through Experiments: Project LITE
K. Brecher - P.I. 

Project LITE is a two-year proof-of-concept project involving materials development, course instruction, and student learning assessment at Boston University. The project's goal is to develop a prototype set of integrated educational materials--unique take-home laboratory experiments, written guides, Web-based software, and lecture demonstrations--which aim to clarify the nature of light, optics, color, and perception. The project's major innovation is the development (and introduction into a range of university courses) of a set of "homelabs"--experiments employing inexpensive original devices and existing commercial and industrial optical materials. These inquiry-based, quantitative laboratory experiences are being designed for use by students in their dormitory rooms.
See the LITE page.
 


Contemporary Mathematics and Technology as a Driving Force for School Reform  
R. L. Devaney - P.I.
J. Choate and C. Findell - Co-P.I.'s 

This project was a collaborative effort between Boston University and several school districts in the Boston area. Its purpose was to train high school mathematics teachers to incorporate new topics from dynamical systems and fractal geometry into the secondary school mathematics curriculum (grades 7-12). Teachers attended seminars during the summer and learned the new knowledge base. They also used computers, software and related materials to gain the practical experience needed to explore the new mathematical concepts in their classrooms. It is anticipated that within five years the teachers will have enough confidence with the new topics to incorporate them into the mathematics curricula at their schools.
 


Chaos and Fractal Teaching
R. L. Devaney - P.I. 

This project was a natural extension of Contemporary Mathematics and Technology as a Driving Force for School Reform (see above). Its goal was to develop teaching materials that will allow high school teachers to introduce various concepts from dynamical systems theory and fractal geometry into their curricula. Videotapes, software, HyperCard stacks, worksheets and teacher guides were developed. These materials will help teachers to both enhance their curricula and demonstrate to students the vitality of modern mathematics.
 


Contemporary Mathematics and the Internet
R. L. Devaney - P.I. 

This project is developing six interactive modules for high school mathematics classrooms that deal with aspects of the geometry and algebra of chaos and fractals. Each module is a completely interactive Java applet and is available free on a Boston University web server. The evaluation includes a study of effective ways teachers use these materials in mathematics classes. The Linear Web applet allows students to enter a particular linear function and then view the associated graphical iteration and time series. The Nonlinear Web applet allows students to view the results of graphical iteration of nonlinear functions. Target Practice helps students comprehend the notion of graphical iteration in a "game" setting. The Orbit Diagram applet brings together the concepts from the previous modules by painting various orbit diagrams. The Mandelbrot and Julia Set applet assists with visualization of complex iteration. A sixth applet, The Mandelbrot and Julia Set Explorer, is a completely interactive primer dealing with the mathematics of these Mandelbrot and Julia sets.


Quantum Science Across Disciplines (QSAD) 
P. Garik - P.I.
G. Abegg - Co-P.I. 

This project aims to: (1) design and implement an introduction to quantum science for high school students and undergraduates in biology, chemistry and physics through activities integrating computer modeling tools, data resource base, and hands-on experiments; (2) do research on student response to materials intended to introduce quantum science at a level appropriate for interdisciplinary inquiry with hooks and paths between biology, chemistry and physics; and (3) investigate the extent to which technologically rich approaches to teaching interdisciplinary science can fundamentally change high school and college instructional practices.
See the QSAD page. 
 


Career Directions: Introductory  Biology-Chemistry 
E. Godrick - P.I. 
S. Hartman - Co-P.I. 

This project developed a three step sequential undergraduate biology-chemistry experience to retain science majors and to inspire them to enter research careers. Its integrated biological-chemical modular format directly relates to and prepares science majors for modern research-oriented upper division courses which parallel realistic career research experiences. Materials developed are being disseminated through many organization including the American Chemical Society.
 


Investigating the Big Ideas: A Mathematics Program for Preschool Children  
C. Greenes - P.I. 
H. P. Ginsburg, and R. Balfanz - Co-P.I.'s. 

Mathematics has been neglected at the preschool and Kindergarten levels. New programs in this area are necessary first to enable young children to pursue and enjoy their mathematical interests, and second to prepare them for elementary school. In this project, mathematics educators and psychologists will develop, evaluate and disseminate a mathematics program - "Investigating the Big Ideas" - for 4- to 5- year-old children. At the core will be a two year sequence of explorations and learning activities aimed at extending and elaborating on preschoolers' informal mathematical interests and abilities, and developing their understanding of core mathematical concepts in an enjoyable and exciting way. The materials will be developed and evaluated over a four year period, with an eye towards large-scale dissemination in the near future, especially for low-income children.


Making the Connections: Undergraduate Algebra to School Mathematics
C. Greenes, P.I. 

Boston University in collaboration with the Education Development Center is developing materials for a course, Connected Algebra, to prepare mathematics teachers. The materials will make connections to the mathematics taught at the middle and secondary school levels. The course will contain detailed information about the ideas, including historical information and connections to school mathematics; mathematical investigations that facilitate understanding and application of the key ideas in mathematics and other content areas; and vignettes of lessons with middle and high school students dealing with the key ideas. This "proof of concept" project will result in sample modules on which full development of the materials could be based.
 


Neurophysiological, Computational and Educational Studies of Sequence Learning and Cognitive Planning   
S. Grossberg - P.I. 
H. B. Eichenbaum, E. K. Miller, J. A. Schickedanz, and E. S. Spelke - Co-P.I.'s 

This project aims to advance understanding of how the brain generates intelligent behavior by examining our capacity to think about sequences of events. The problem is being studied within the project through an interdisciplinary approach. To directly probe brain mechanisms, neurophysiological experiments are being performed on awake behaving animals. Computer-based experiments with young children are being used to discover how children learn sequential behaviors and to test how to optimize such learning. Behavioral studies are being done on how human infants learn sequences. Cognitive and neural modeling is being used to discover brain designs and mechanisms to link the animal neuorphysiological data to the human cognitive data. Through the analyses of how we learn and remember sequences of events, a foundation will be built for studying the neural basis of high-level cognitive operations such as planning and reasoning; for developing better educational software; and for applying models towards the solution of outstanding technological problems that require algorithms which emulate human intelligence.
 


Undergraduate Laboratory Instruction in Biotechnology   
S. Hartman - P.I.  

The core of this project was an intensive six-week practicum designed to teach college faculty members the modern methods of recombinant DNA and protein analysis. These procedures underlie much of current research and development in biotechnology, an experimental field which has evolved rapidly over the past 10-15 years. Since many college bioscience teachers were trained in an earlier period, they have little or no immediate relevant experience in this field. However, many of their students will need to use the methods of biotechnology in their future careers. The project aimed to bridge this gulf by providing college faculty with the expertise necessary to introduce the "new biology" into their curricula. Recognizing that college faculty must operate within financial and time constraints, the practicum taught low-cost and time-efficient experimental methods appropriate to the teaching setting. 
 


On Growth and Form: Learning Probability Concepts by Doing Science (OGAF)   
H.E. Stanley - P.I.  

This project harnesses the tremendous power of computer technology as a resource for teaching specific topics in mathematics and science. It focused on random processes in nature and their strong connection to concepts in probability and fractal geometry. Computer simulations and visualizations were used to aid the understanding and study of phenomena not visible to the naked eye, such as the growth of snowflakes or the disordered geometric configurations of polymer chains. In the process of doing hands-on experiments and computer simulations, students learn abstract mathematical concepts in a context that is both concrete and inherently motivating.
See the OGAF page. 
 


Learning Science Through Guided Discovery: Liquid Water and Molecular Networks (WAMNET)   
H. E. Stanley - P.I.  

This project uses the advanced computer technology of powerful work stations and supercomputers to zoom into the fascinating submicroscopic world of water. Through advanced graphics and real-time simulations, students are given a chance to learn about the properties of water at a molecular level. A cycle of hands-on activities, games and experimentation is combined with computer animation to allow students to discover concepts on their own. Guided by a clear set of "cues" built into the computer display, students are prompted to examine their own observations and to create for themselves important general principles. In some classrooms, students are now able to access supercomputers and their interactive programs from terminals via a high-speed network.
See the WAMNET page. 


Visual and Interactive Modes for Integrated Learning of Science and Mathematics
H. E. Stanley - P.I.     

The primary goal of this educational research project is to investigate how new materials developed by two previous projects (see OGAF and WAMNET) affect the teaching and learning of high school science. The materials, which combine hands-on activities with visual, highly interactive computer simulations, support a new model of instruction in which the high school science students are "apprentice researchers" and the teachers guide them through their investigations. The project is studying the impact of this approach on student concept development, motivation, understanding of the scientific process, and attitudes toward science as a career, with emphasis on female and minority students.
 


The Random Universe  
H. E. Stanley - P.I.  

This project produced an interdisciplinary set of curriculum modules, which introduced high school students to the role of microscopic randomness in creating macroscopic patterns in nature. These curriculum materials are based on incorporating hands-on activities, laboratory experiments, computer simulations and data analysis software developed through previous research and development projects (WAMNET and OGAF, discussed above). The projects resulted in workbooks for use in biology, chemistry, earth science and physics courses.
See the Random Universe page. 
 


Teacher-Researcher Collaboration in Scientific Modeling: The High School Science Virtual Machine Laboratory   
H. E. Stanley - P.I.  
R. Giles - Co-P.I.  

The aim of this project is to put into students hands the computer tools to model and visualize many physical, chemical, biological and other scientific phenomena at microscopic scales. The project is making use of several new computer tools. One is JAVA, the platform independent language which enables developers to build applications distributable over the World Wide Web which run on any computer. The other is the application of "distributed parallel processing" whereby each computer might be viewed as a piece of a much larger computational fabric accessible to each student. Students will make use of this capability to work with a "virtual" parallel computer.
See the The Teacher Researcher Collaboration page.
 


Patterns in Nature (PINS)  
H. E. Stanley - P.I.
G. Abegg - Co-P.I.  
  

The focus of this project is to: (1) introduce high school science teachers to the use of materials developed by the WAMNET and OGAF projects; (2)prepare teachers for new roles as mentors in a cooperative learning classroom environment in which students act a research workers, learning through hands-on activities, laboratory experiments, and visual interactive computer models of physical systems; (3) identify potential "master teachers" and work with them to become resource agents for colleagues in their home regions; and (4) prepare a teacher resource book and leader training kit for national dissemination of this model.
See the PINS page. 
 


Dance of Chance  
H. E. Stanley - P.I.  

Boston University, in partnership with the Museum of Science, Boston is designing and fabricating an exhibit entitled "The Dance of Chance ...Growing Order out of Randomness." The exhibit will integrate graphics, artifacts, interactive electromechanical demonstration devices together with state of the art interactive educational computer technology to demonstrate how probability shapes nature. It is planned as a permanent addition to the Museum's exhibition program, but is being designed to facilitate easy reproduction for individual copies or for circulation as a traveling exhibit.
See the Dance of Chance page.
 


The Role of Randomness in Science: An Interdisciplinary Course for Nonscience Majors   
H. E. Stanley, and   E. Taylor - P.I.'s  

This project will create a new undergraduate interdisciplinary course in which students explore the key role of randomness in biology, chemistry, physics and earth science. The curriculum materials used will be adapted and augmented from activities, experiments, simulations and data analysis software already developed as individual modules for high school science classes. Existing modules will be recast into a coherent one-semester course for liberal arts undergraduates.
See the Role of Randomness in Science page.
 


Bridging the Gap Between the Microscopic and the Macroscopic: Student-Led Investigations in Multidisciplinary Science   
H.E. Stanley - P.I.  

This project is a national scale-up of the project "Liquid Water and Molecular Networks". A modular, multidisciplinary curriculum will be produced, consisting of an integrated set of materials designed to allow students to discover for themselves a molecular-scale view of a wide range of materials from simple liquids and gases to complex proteins. A special emphasis is placed on investigations of water, a material whose properties play a critical role in living systems. All the materials will be integrated into a textbook that will feature a CD-ROM containing complete computer programs, supporting teaching materials, and laboratory exercises.
See the Bridging the Gap page.
 


Program in Mathematics for Young Scientists (PROMYS)   
G. Stevens - P.I.  
D. Fried - Co-P.I.  

PROMYS was an annual six-week residential summer program for 60 high school students who were entering grades 10 through 12. PROMYS offered a lively mathematical environment in which students could explore the creative world of mathematics. Students attended daily lectures given by research mathematicians, but the heart of the program was the experience they gained through their individual and collective efforts to solve an assortment of unusually challenging problems in Number Theory. College-aged counselors lived in the dormitories and provided a very effective network for beginning students. More experienced participants studied advanced topics such as Abstract Algebra, Dynamical Systems and Combinatorics.
See the PROMYS page.


Exploration with PROMYS: Program in Mathematics for Young Scientists   
G. Stevens - P.I. 
 

Boston University is conducting a 36-month Teacher and Student Development through Research Experience project. Ten teacher/student teams and twenty national students are being recruited each year. A total of thirty local secondary teachers with 30 local secondary students and 60 national secondary students are divided into four person teams consisting of one teacher/student pair from the same school and two national students. These teams conduct six-week mathematics explorations in number theory in a resident camp during the first year. In the following academic year the teachers will participate in sixteen half-day workshops developing curricular materials, as well as offer a research and problem-solving seminar at their school. A website for student research, publication and communication is being developed. Teachers and students can return for a second year of advanced research.
 


Research Internship Program in Science and Engineering   
G. Zimmerman - P.I.  

Each year, this residential program placed 30 high school students who had completed their junior year into research laboratories affiliated with Boston University and other Boston area universities for six weeks during the summer. Each student was paired with a research professor and worked in a laboratory 30-40 hours a week. Students worked with their mentors performing activities central to the research projects in the laboratories. By working in the actual professional milieu of science, students learned the substance, spirit and methodology of scientific research.