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A Study of Visualization for Mathematics Education

Graphical representations such as figures, illustrations, and diagrams play a critical role in mathematics and they are equally important in mathematics education. However, graphical representations in mathematics textbooks are static, Le. they are used to illustrate only a specific example or a limited set. of examples. By using computer software to visualize mathematical principles, virtually there is no limit to the number of specific cases and examples that can be demonstrated. However, we have not seen widespread adoption of visualization software in mathematics education. There are currently a number of software packages that provide visualization of mathematics for research and also software packages specifically developed for mathematics education. We conducted a survey of mathematics visualization software packages, summarized their features and user bases, and analyzed their limitations. In this survey, we focused on evaluating the software packages for their use with mathematical subjects adopted by institutions of secondary education in the United States (middle schools and high schools), including algebra, geometry, trigonometry, and calculus. We found that cost, complexity, and lack of flexibility are the major factors that hinder the widespread use of mathematics visualization software in education.

Daugherty, Sarah C.↗

Reaching Out: Team AETHER

Embry Riddle Aeronautical University's Daytona Beach Campus Lunabotics Team took the opportunity to share the love of space, engineering and technology through the educational outreach portion of the competition. Through visits to elementary schools and high schools, and through support of science fairs and robotics competitions, younger generations were introduced to space, engineering and robotics. This report documents the outreach activities of team Aether.

Murphy, Gloria A.↗

GLOBE Aerosol Field Campaign - U.S. Pilot Study 2016

During the spring of 2016, from April 4 - May 27, sixteen GLOBE schools participated in the GLOBE Aerosol Field Campaign - U.S. Pilot Study. Thirteen teachers from these schools had previously participated in the NASA LEARN program (Long-term Experience in Authentic Research with NASA) where they were GLOBE trained in Atmosphere protocols, and engaged in 1-3 years of research under the mentorship of NASA scientists. Each school was loaned two aerosol instruments for the Campaign duration, either 2 GLOBE sun photometers, 2 Calitoo sun photometers, or 1 of each. This allowed for students to make measurements side-by-side and in the case of the Calitoos, to compare AOT results immediately with each other for better consistency in data collection. Additionally, as part of the Field Campaign evaluation, multiple instruments allow for an assessment of the ease of use of each instrument for grade level of students, whether in middle school or high school. Before the Campaign, all GLOBE and Calitoo instruments were 'checked out' against an AERONET, then checked again upon return after the Campaign. By examining all data, before, during and after the Campaign, this gives an indication of instrument performance and proficiency obtained by the students. Support was provided to each teacher and their students at the level requested, via email, phone or video conferencing.

Pippin, Margaret↗

Teaching the Next Generation of Scientists and Engineers the NASA Design Process

The Integrated Product Team (IPT) program, led by The University of Alabama in Huntsville (UAH), is a multidisciplinary, multi-university, multi-level program whose goal is to provide opportunities for high school and undergraduate scientists and engineers to translate stakeholder needs and requirements into viable engineering design solutions via a distributed multidisciplinary team environment. The current program supports three projects. The core of the program is the two-semester senior design experience where science, engineering, and liberal arts undergraduate students from UAH, the College of Charleston, Southern University at Baton Rouge, and Ecole Suprieure des Techniques Aronautiques et de Construction Automobile (ESTACA) in Paris, France form multidisciplinary competitive teams to develop system concepts of interest to the local aerospace community. External review boards form to provide guidance and feedback throughout the semester and to ultimately choose a winner from the competing teams. The other two projects, the Innovative Student Project for the Increased Recruitment of Engineering and Science Students (InSPIRESS) Level I and Level II focus exclusively on high school students. InSPIRESS Level I allows high schools to develop a payload to be accommodated on the system being developed by senior design experience teams. InSPIRESS Level II provides local high school students first-hand experience in the senior design experience by allowing them to develop a subsystem or component of the UAH-led system over the two semesters. This program provides a model for NASA centers to engage the local community to become more involved in design projects.

Caruso, Pamela W.↗

Research Project for Increasing the Pool of Minority Engineers

The NASA Glenn Research Center (GRC) funded the 2001-2002 Tennessee State University (TSU) Research Project for increasing the pool of minority engineers. The NASA GRC/TSU Research Project is designed to develop a cadre of SMET professionals who have academic and research expertise in technical areas of interest to NASA, in addition to having some familiarity with the mission of the NASA Glenn Research Center. The goal of increasing minority participation in SMET disciplines was accomplished by: (1) introducing and exposing 96 minority youth to Science, Math, Engineering, and Technology (SMET) careers and to the required high school preparation necessary to make high school graduation, college attendance and engineering careers a reality through the campus based pre-college SMET program: Minority Introduction to Engineering (MITE); (2) by providing financial support through scholarships for four (4) TSU engineering students to NASA; (3) familiarization with the SMET profession and with NASA through summer internships at NASA GRC for two TSU NASA Glenn Research Scholars; and experiences through research internships at NASA GRC.

Gott, Susan F.↗

Student Outreach With Renewable Energy Technology

The Student Outreach with Renewable Energy Technology (SORET) program is a joint grant that involves a collaboration between three HBCU's (Central State University, Savannah State University, and Wilberforce University) and NASA John H. Glenn Research Center at Lewis Field. The overall goal of the grant is to increase the interest of minority students in the technical disciplines, to encourage participating minority students to continue their undergraduate study in these disciplines, and to promote graduate school to these students. As a part of SORET, Central State University has developed an undergraduate research associates program over the past two years. As part of this program, students are required to take special laboratory courses offered at Wilberforce University that involve the application of renewable energy systems. The course requires the students to design, construct, and install a renewable energy project. In addition to the applied renewable energy course, Central State University provided four undergraduate research associates the opportunity to participate in summer internships at Texas Southern University (Renewable Energy Environmental Protection Program) and the Cleveland African-American Museum (Renewable Energy Summer Camp for High School Students) an activity co sponsored by NASA and the Cleveland African-American Museum. Savannah State University held a high school summer program with a theme of the Direct Impact of Science on Our Every Day Lives. The purpose of the institute was to whet the interest of students in science, mathematics, engineering, and technology (SMET) by demonstrating the effectiveness of science to address real world problems. The 2001 institute involved the design and installation of a PV water pumping system at the Center for Advanced Water Technology and Energy Systems at Savannah State. Both high school students and undergraduates contributed to this project. Wilberforce University has used NASA support to provide resources for an Applied Renewable Energy Laboratory offered to both Central State and Wilberforce students. In addition, research endeavors for high school and undergraduates were funded during the summer. The research involved attempts to layer photovoltaic materials on a conducting polymer (polypyrrole) substrate. Two undergraduate students who were interested in polymer research originated this concept. Finally, the university was able to purchase a meteorological station to assist in the analysis of the solar/wind hybrid power system operating at the university.

Clark, Eric B.↗

NASA Student Competitions

Topics covered include: I. Aeronautics Contest: a) High school and college students; b) Participation based on academic calendar; c) Vehicles and Systems; d) High School Division 2007 Highlights: 1) Top score for international teams..... girls from South Africa; 2) Top scores overall for individuals..... US and International were girls; f) Participating Countries: South Africa, India, Pakistan, Romania, Canada. II. Life and Work on the Moon: What images come to mind. a) Architecture; b) Industrial design; c) Computer Design; d) Fine arts. III. Next Generation Moon Buggy Contest: a) High School and College students; b) Real vehicles; c) Real missions.

Ward, Elizabeth B.↗

Education and Training Report. Performance Report, FY 1997

During FY 97, 152 MUREP education and training projects were conducted at OMU institutions. The institutions conducted precollege and bridge programs, education partnerships with other universities and industry, NRTS, teacher training, and graduate and/or PI undergraduate programs. These programs reached a total of 23,748 participants, with the predominant number at the precollege level and achieved major goals of heightening students' interest and awareness of career opportunities in MSET fields, and exposing students to the NASA mission, research and advanced technology through role models, mentors, and participation in research and other educational activities. Also in FY 1997, NASA continued a very meaningful relationship with the Hispanic Association of Colleges students and Universities (HACU) through Proyecto Access, a consortium through which HACU links seven HSI's together to conduct 8-week summer programs. OMU Institutions reported 4,334 high school student in NASA programs and 3,404 of those students selected college preparatory MSET courses. Three hundred and forty-nine (349) graduated from high school, 343 enrolled in college, and 199 selected MSET majors. There were 130 high school graduates (bridge students) in NASA programs, 57 of whom successfully completed their freshman year. There were 307 teachers in teacher programs and 48 teachers received certificates. Of the 389 undergraduate students, 75 received under graduate degrees, and eight students are employed in a NASA-related field.

Source record↗

Laboratory for Hydrospheric Processes 1997 Publications

This document is a compilation of publications of the Goddard Space Flight Center Laboratory for Hydrospheric Processes for calendar year 1997. Each two-page entry is a cut-and-pasted extraction from a 1997 published journal article, book chapter, symposium or conference proceedings, or technical memorandum. This provides a quick, inexpensive way to communicate our research. If you wish further information, or a reprint, please contact the author of the article or the publisher. There are two sections, the first consisting of 76 journal articles and book chapters which are arranged according to the science priorities of NASA's Earth Science Enterprise: Land-Cover Change and Global Productivity Seasonal-to-Interannual Climate Prediction Natural Hazards Long-Term Climate Variability Atmospheric Ozone, and an additional category Sensor/Algorithm Development. * Each of these sections is preceded by a foreword. A second section, consisting of 52 other contributions (e.g. conference/symposium proceedings and technical memoranda), provides additional scientific information to the outside community. This document was initiated within the Earth Sciences Directorate at the NASA/Goddard Space Flight Center to provide internal communication. We anticipate it will prove useful to visitors and other people interested in our research. This is our fifth annual document. The Laboratory for Hydrospheric Processes is one of the major elements of the Earth Sciences Directorate at NASA's Goddard Space Flight Center. Scientific investigations within the Division range from theoretical to experimental research dealing with oceanic/physical oceanography, hydrologic, and cryospheric sciences. The Laboratory currently has a staff of 60 civil servants and approximately 138 visiting scientists, postdoctoral fellows, and contractors. At various times throughout the year, the Laboratory hosts additional personnel through NASA and Goddard sponsored enrichment programs for high school, undergraduate and graduate students, and high school and university faculty. For further information see our web site at http://neptune.gsfc.nasa.gov.

Busalacchi, Antonio J.↗

X-traktor: A Rookie Robot, Simple, Yet Complex, Impeccably Designed, a Very Innovative Multidisciplinary Engineering Masterpiece

FIRST is the acronym of For Inspiration and Recognition of Science and Technology. FIRST is a 501.C.3 non-profit organization whose mission is to generate an interest in science and engineering among today's young adults and youth. This mission is accomplished through a robot competition held annually in the spring of each year. NASAs Marshall Space Flight Center, Education Programs Department, awarded a grant to Lee High School, the sole engineering magnet school in Huntsville, Alabama. MSFC awarded the grant in hopes of fulfilling its goal of giving back invaluable resources to its community and engineers, as well as educating tomorrow's work force in the high-tech area of science and technology. Marshall engineers, Lee High School students and teachers, and a host of other volunteers and parents officially initiated this robot design process and competitive strategic game plan. The FIRST Robotics Competition is a national engineering contest, which immerses high school students in the exciting world of science and engineering. Teaming with engineers from government agencies, businesses, and universities enables the students to learn about the engineering profession. The students and engineers have six weeks to work together to brainstorm, design, procure, construct, and test their robot. The team then competes in a spirited, 'no-holds barred' tournament, complete with referees, other FIRST-designed robots, cheerleaders, and time clocks. The partnerships developed between schools, government agencies, businesses, and universities provide an exchange of resources and talent that build cooperation and expose students to new and rewarding career options. The result is a fun, exciting, and stimulating environment in which all participants discover the important connections between classroom experiences and real-world applications. This paper will highlight the story, engineering development, and evolutionary design of Xtraktor, the rookie robot, a manufacturing marvel and engineering achievement.

Henderson, A. J., Jr.↗

NASA Space Sciences Symposium-1977

The primary objective of the symposium was to motivate American Indians and other minority youths and women to select science and engineering as viable career choices, thereby making them available to the technical work force. Other objectives were: (1) to determine how aerospace technology careers and aerospace activities can be made more relevant to minorities and women; (2) to provide an opportunity for key NASA officials to interact with teachers and counselors of the participating schools; (3) to stimulate a greater interest among American Indian organizations and students in NASA's research and development programs; (4) to help NASA's efforts in the recruiting of minorities and women into its work force; and (5) to provide opportunities for minority aerospace scientists and engineers to interact with the minority community, particularly with youths at the junior high school and high school levels.

Source record↗

NASA Master Teacher Re-Certification Program

Edward Waters College is submitting a final report covering the grant period from January 1999 - April 30, 2000. The Teacher re-certification program at Edward Waters College created a high quality professional development opportunity for middle and high school science teachers which will contribute to the improvement of science education and the use of innovation technologies in the classroom for years to come. The following goals and objectives were met and exceeded during the grant period. 1) A focused and relevant educational technology curriculum based on National Science Education Standard and state-of-the art educational resources that are accepted as one of the qualifications for re-certification in the scientific discipline in Duval County, Florida. 2) The program goal was to recertify 40 middle and high school science teachers over a two- year period. This goal was met and exceeded the projected number by recertifying over 80 middle and high school science and math teachers over a two-year period. 3) Teachers that were recertified were given an opportunity to public information that they developed on EWC's Web page or develop a web page of their own. Area schools were made aware of this information through various forms of communication with the teachers in Duval County School District, i.e., flyers sent from EWC to participants, school newspapers, word of mouth, etc. 4) A multimedia technology resource lab is available at EWC for use as a "Learning Lab" for class field trips by Duval County teachers.

Okari-Brooks, Emma↗

Investigation of the High Latitude Magnetosphere and its Response to the Solar Wind

INSPIRE is a non-profit scientific, educational corporation whose objective is to bring the excitement of observing natural and manmade radio waves in the audio region to high school students. Stimulating students to learn and understand science and technology is the key to them fulfilling their potential in the best interests of our society. INSPIRE also is an innovative, unique opportunity for students to actively gather data that might be used in a basic research project. INSPIRE began with a test bed project, ACTIVE/HSGS, which involved 100 high schools, with a centerpiece of making observations of 10.5 kHz transmissions from the Soviet ACTIVE satellite. A large number of ground receiving sites was needed, both to enhance the probability of receiving the radio waves from ACTIVE, and to determine the propagation paths to the ground. The second major project was support to SEPAC (Space Experiments using Particle ACcelerators), a payload on the ATLAS I Spacelab mission, flown in March/April 1992. With its electron accelerator SEPAC performed many experiments in the ionosphere, including producing an artificial aurora and the electromagnetic waves produced by pulsing the electron beam. INSPIRE/SEPAC provided more than 1000 ground stations to receive the radio waves, and, at the same time, allowed high school students the opportunity to take data that would be used in a published basic research project. The third major project is to make observations of the effects of a pulsed electron beam and plasma generator on the MIR Space Station. On request, these instruments are operated over INSPIRE observers.

Taylor, William W. L.↗

How Mockups, a Key Engineering Tool, Help to Promote Science, Technology, Engineering, and Mathematics Education

The United States ranking among the world in science, technology, engineering, and mathematics (STEM) education is decreasing. To counteract this problem NASA has made it part of its mission to promote STEM education among the nation s youth. Mockups can serve as a great tool when promoting STEM education in America. The Orion Cockpit Working Group has created a new program called Students Shaping America s Next Space Craft (SSANS) to outfit the Medium Fidelity Orion Mockup. SSANS will challenge the students to come up with unique designs to represent the flight design hardware. There are two main types of project packages created by SSANS, those for high school students and those for university students. The high school projects will challenge wood shop, metal shop and pre-engineering classes. The university projects are created mainly for senior design projects and will require the students to perform finite element analysis. These projects will also challenge the undergraduate students in material selection and safety requirements. The SSANS program will help NASA in its mission to promote STEM education, and will help to shape our nations youth into the next generation of STEM leaders.

McDonald, Harry E.↗

COMPTEL Studies of Gamma-Ray Bursts at MeV Energies

The purpose of this program was to analyse and interpret gamma-ray burst (GRB) data using both telescope mode data and single detector burst mode data from COMPTEL. Collectively, these data span the energy range from 300 keV up to 30 MeV. The initial goal of our proposal was to perform a standard analysis for each significant GRB event seen by COMPTEL. This includes GRBs that are registered by the telescope mode data as well as GRBs that are registered only in the burst mode data. (The latter category includes both GRBs that he outside of the FoV as well as GRBs within the FoV that are too weak to be seen in the telescope mode.) A second goal of our proposal was to define a set of data products (including deconvolved photon spectra) that, for each detected GRB event, would be made available via the COMPTEL GRB Web Page. The third goal of our program was to perform more detailed studies of selected GRB events. This represented a continuation of past GRB studies by the COMPTEL team. In general, we have met with only limited success in achieving these goals, in part due to the limited resources provided and our philosophy of utilizing local high school students to participate in this effort. Using local high school student support, however, we expect that considerable progress will be made in our efforts to catalog the COMPTEL gamma-ray burst data between now and the end of the current academic year. In addition, observations with COMPTEL contributed to an analysis of GRB 990123, the first gamma-ray burst with simultaneous optical observations.

McConnell, Mark L.↗

CUBES Project Support

CUBES stands for Creating Understanding and Broadening Education through Satellites. The goal of the project is to allow high school students to build a small satellite, or CubeSat. Merritt Island High School (MIHS) was selected to partner with NASA, and California Polytechnic State University (Cal-Poly}, to build a CubeSat. The objective of the mission is to collect flight data to better characterize maximum predicted environments inside the CubeSat launcher, Poly-Picosatellite Orbital Deplorer (P-POD), while attached to the launch vehicle. The MIHS CubeSat team will apply to the NASA CubeSat Launch Initiative, which provides opportunities for small satellite development teams to secure launch slots on upcoming expendable launch vehicle missions. The MIHS team is working to achieve a test launch, or proof of concept flight aboard a suborbital launch vehicle in early 2013.

Jenkins, Kenneth T., Jr.↗

Team LunaCY Outreach Paper

Iowa State University's Lunabotics Club, Team LunaCY, has worked hard to generate enthusiasm for robotics, engineering, and lunar activities. Team LunaCY participated in a variety of different outreach events making a strong impression on Iowa youth. These events led the chair of the mechanical engineering department, Dr. Ted Heindel, to refer to the club's outreach program as "the model that all other engineering clubs should follow." Team LunaCY's outreach activities totaled over 200 hours and captivated over 3000 students and adults throughout the course of this acaden1ic year, reaching out to people all over Iowa and to several special guests. These guests included Vice-President Joe Biden, during a visit to Iowa State University in March 2012, and astronaut Clayton Anderson, during a visit to Iowa State's campus in the fall 2011. Team LunaCY's outreach events created hands on learning opportunities for local youth ranging in age from elementary school children to high school students. The team strove to make a positive impression on Iowa youth and to encourage interest and involvement in scientific fields. The full list of events is shown in Table 1. Three of the major outreach events the team participated in were the FIRST LEGO League, Science Bound, and iExplore STEM Festival.

Heise, James↗

NASA HUNCH Hardware

High School students United with NASA to Create Hardware (HUNCH) partners NASA centers with high schools and middle schools in states across the nation. The HUNCH program is a school-based innovative program that promotes student interest in science, technology, engineering, and mathematics. While students are building hardware, softgoods, prototypes, or experiments for NASA, they are also building their interest as researchers, as well as their self-confidence. The 2015-2016 school year marks the 13th year of the HUNCH program while this is the second year of the HUNCH program at NASA Glenn Research Center (GRC). This year GRC partnered with 6 schools where students built various components needed to assemble International Space Station Single Stowage Locker flight hardware. In addition, Glenn worked with a new school on the Softgoods program and hosted all 7 schools along with 4 Design and Prototype schools with a recognition ceremony and tours at NASA Glenns Plum Brook Station in Sandusky, OH. Highlights from the work that the GRC schools did throughout the school year will be presented.

ISS↗