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By
John M. Broadfoot, Centre for Mathematics, Science and Technology Education, Queensland University of Technology, Australia,
Ian S. Ginns, Centre for Mathematics, Science and Technology Education, Queensland University of Technology, Australia
Abstract: A review of research conducted in Australasia into students' concept development in astronomy identifies a number of learning difficulties pertinent to astronomy, such as the lack of prior knowledge, intuitive or naive beliefs, juxtaposition and frames of reference, difficulties in mental-modeling, the inappropriate use of analogies, and the absence of consideration of the historical development of astronomy in teaching. The impact on, and effectiveness of, some teaching and learning strategies, developed and employed to address some of these learning difficulties, have been examined. A number of recommendations are proposed for teaching strategies and further focused research into the learning and conceptual needs of students.
Introduction
The curriculum and the teaching of astronomy in any school are driven by the syllabus and the individual school's developed and implemented curriculum. Other factors that may affect the delivery of the intended curriculum will include the competence and interests of individual teachers and the use of textbooks and other resources, to support this curriculum. The successful teaching of astronomy in primary and secondary schools is dependent on the teachers' own understanding of concepts and abilities to challenge students' prior conceptions, therefore the courses undertaken by pre-service teachers must be in the context of teaching astronomy, and teachers' own studies must challenge and develop their own understanding of concepts in astronomy.
To understand fully the possible derivation of alternative conceptions or difficulties in understanding key concepts in astronomy, it is essential to trace the stages of teaching and learning in astronomy through the curriculum. It may be that students have not been provided with the opportunities to challenge and/or restructure their prior knowledge or intuitive beliefs through appropriate teaching strategies.
The prefix “pseudo” is derived from a Greek word meaning “false.” Pseudoscience refers to theories, assumptions, and methods that are mistakenly thought to be scientific. Obviously the distinction between science and pseudoscience is not clear-cut. Pseudoscience overlaps with scientific “misconceptions” - beliefs that are held by students and the general public that differ from scientific fact. Both of these concepts are subtle ones, since all scientific theories can be regarded as tentative to some degree.
At the 1996 IAU conference on astronomy education in London, UK, Neil Comins classified astronomical misconceptions into about 20 types, and he has described these in detail in his book Heavenly Errors (Columbia University Press, 2001). Some misconceptions are cognitive in nature; they are dealt with in our Part II. Others are products of religious belief or superstition (often transmitted through the “authority” of family or friends), or popular culture, or errors or excesses of the media. In relation to astronomy, notable pseudosciences include astrology, space aliens, and creationism; the works of Velikovsky also fall under the pseudoscience rubric. The majority of students will be affected in some way by these beliefs.
How to deal with them? The theory of constructivism is one of the most influential sciencelearning theories in schools today. It states that, by reflecting on their own knowledge and experiences, students build their own new knowledge about the universe around them. Teachers must therefore be aware of students' pseudoscientific beliefs, as well as their other misconceptions, if they are to correct them through their teaching. Many of them are deeply rooted. They cannot easily be changed by lectures and textbooks. They must be confronted through minds-on teaching.
To get an idea of what variable-star observing is all about, here are two active, easily found stars that we will observe informally. The first is Delta Cephei, an ideal star to begin with for several reasons. It is part of a bright and compact star group, is usually around magnitude 4, and is an active star, always offering something interesting to watch.
Delta Cephei's variation was discovered by John Goodricke in 1784 (see Chapter 32), and it is the star for which all the Cepheid variables are named. The variation in this giant star is small but extremely regular with a period of several days. It is also typical that this star enjoys a leisurely decline to minimum that is followed by a rapid rise to maximum.
At maximum, Delta Cephei is easily visible at magnitude 3.5, and at minimum it shines at 4.4. If you observe every night or two you will soon see how it falls, then rises, week after week.
Notice the two stars Zeta and Epsilon in Fig. 6.1 and in the sky. Which is brighter? Let us give Zeta Cephei an arbitrary value of “1” and Epsilon a value of “5”. Each night estimate the brightness of Delta Cephei as follows:
– as bright as Zeta
– slightly fainter than Zeta
– halfway between Zeta and Epsilon
– slightly brighter than Epsilon
– as faint as Epsilon
Even though we are not using actual magnitude values here, we still estimate to better than 0.2 magnitude.
Abstract: The Astronomy Education Review, “a lively compendium of research, news, resources, and opinion” about astronomy and space science education, has now been in operation since 2002. This paper discusses why such a journal/magazine was needed and describes the key decisions that were made about how to implement it: electronic publication to make the journal widely accessible while keeping operations costs low; achieving quality comparable to a paper journal through rigorous refereeing, copy-editing, and consistent style; fixed text after publication; and long-term availability. The topics covered in the issues published to date are summarized, and we assess the impact of the journal. The journal itself can be found at http://aer.noao.edu.
Introduction
The Astronomy Education Review (AER), a new electronic journal, was established to serve the growing community of researchers and educators who are active contributors to astronomy and space science education.
For decades, it has been a cause for concern that too few US undergraduates are being trained in science, engineering, and mathematics (NCEE, 1983). In addition, our increasingly technological society requires citizenry that is at least somewhat literate in science. As a consequence, National Aeronautics and Space Administration (NASA) and National Science Foundation (NSF) have committed very significant resources toward improving both access to, and the quality of, science education at all levels. Proposals to the NSF are now judged not only on the intellectual merit of the proposed research but also on its broader impacts, including how well the work will advance “discovery and understanding while promoting teaching, training and learning” (NSF, 2004).
The afternoon summer storm has just passed and the sky is clearing rapidly. It's a weekend evening and you decide to set up the telescope. By the time the Sun has set, your telescope is assembled and you are ready for a night with the stars. What do you do first? While the telescope is adjusting to nighttime temperatures, check out the sky. Is it just as you left it last time? A good way to begin any night of observing is to review the familiar constellations and asterisms. Slowly and methodically check each star down to 2nd or 3rd magnitude. In all likelihood, all is well, but you never know. An erupting star, a nova, might be out there waiting to be noticed as a “star out of place.” A nova is not, as its Latin name implies, a new star. It is really an old star system that is exploding. In the case of an ordinary nova it is a binary system that goes into outburst as it blows off some of its atmosphere, or as a supernova, it spectacularly blows a large fraction of its mass over space.
A nova in Cygnus
On a Saturday evening in late August 1975, when I was returning with friends from an early dinner, I looked up, quite by habit, and saw what I assumed to be a slow-moving satellite just north of Deneb.
Stars are people, too. Each star, like each person, is unique. For whatever efforts we make to classify either people or stars, we always run into exceptions, and when we create a new category for the exceptions to the old category, that usually turns out to have exceptions as well. Although it is an exaggeration to say that every variable star in the sky is in a class by itself, it is useful to think of variables as individuals capable of surprises.
There is a different aspect, however, of the philosophy of classification. Just as we can find strength and beauty by looking at the diversity of language, behavior, and culture in people, a look at the kinds of variation in stars will help to show just how extraordinary this field of study really is.
Some classifications are obvious. You would never want to confuse a stately, mature, slowly varying red giant like Mira with a little dwarf star that erupts every two months. An Orion variable, changing brightness for no apparent rhyme or reason, would not be confused with a slightly unpredictable semiregular. The eclipsing binaries, revolving together in clockwork fashion, are not the same as the intricate “breathing” of the Cepheids. Astronomers recognize these broad divisions that help us both to understand the different patterns of variation and to plan our observing programs for them.
Abstract: I report on American textbooks for kindergarten through high-school grades. Middle school, up through approximate age 15, is the last time American students are required to take science, and I provide statistics on the narrowing of the funnel containing those taking physics. I describe some recent curriculum and standards projects, and discuss the recent “less is more” trend. I conclude with comments on whether textbooks are necessary and useful, and discuss possible content and style of an ideal textbook. Astronomy is orphaned in many American schools, though it can find its way into classes through earth science or physical science courses or textbooks. We can hope that the students will wind up with better astronomical knowledge than Harry Potter, who “completed the constellation Orion on his chart” in June from his own telescopic observations during his practical astronomy exam in Harry Potter and the Order of the Phoenix (Rowling, 2003; Pasachoff, 2003a), an observation that can never have been made.
Standardized testing and the scientific funnel
A national trend in the United States since 2002 has been an increase in required standardized testing, often as part of the No Child Left Behind Act (NCLBA). The unforeseen consequences of NCLBA seem to be an increasing rate of failures and the abandoning of topics of secondary importance - like astronomy - next to reading, writing, and arithmetic.
In New York State, for example, the percentages of students passing the 2003 mathematics exam required for high-school graduation was so far below 50 per cent that the test had to be withdrawn, though similar problems with the physics exam did not lead to a similar temporary solution (Winerip, 2003).
Abstract: Increased interest among education and public outreach specialists in coordinating the task of “Communicating Astronomy to the Public” led to a conference of that name in Washington DC, following an earlier conference in Tenerife the previous year. One outcome of the conference was the Washington Charter, which is to help foster such public education through statements of principles of action for funding agencies, professional astronomical societies, universities/laboratories/research-organizations, and individual researchers, respectively. Another outcome was the formation of a Working Group on the subject within the Union-wide Activities Division of the International Astronomical Union. Information about both outcomes can be found at http://www.communicatingastronomy.org.
Editors' Note: This paper was solicited by the editors in March 2004.
Nearly 250 outreach professionals in the astronomical community gathered in Washington, DC, on October 1–3, 2003, to attend the “Conference on Communicating Astronomy to the Public.” This three-day conference attracted public information officers, astronomers, educators, and members of the entertainment and news media to explore the gaps in outreach, the current and emerging demands of the public, the needs of the astronomical community, and to work on methods to answer these needs. “Education and Public Outreach,” now often abbreviated as “E/PO,” was the overall subject.
The conference was organized by the National Radio Astronomy Observatory (NRAO), for which I am a public information officer, and hosted by the US National Research Council. The morning sessions of this conference were based on a series of panel discussions, addressing such topics as astronomy in entertainment, image repositories, best practices, and underdeveloped audiences.
With growing experience you can follow several enticing stars throughout their entire range with standard 7 × 50 binoculars. These four stars are easy to find; just use the charts in Figs. 15.1, 15.2, and 15.3.
R Scuti
This most interesting bright variable ranges over about two magnitudes in almost five months. However, it shows many irregularities, and even its period, listed as 140 days, is not precise. Because the inspiring open cluster NGC 6705 (M11) is nearby, R Scuti is as easy to find as it is fun to estimate. The range is large, it is well placed in the sky from May to September, and is a fine example of an easily observed bright variable.
R Scuti is a special type of star, in the RV Tauri class. This star's performance appears to mimic Beta Lyrae, although the period is much, much longer and the maxima are sharper. But RV Tauri stars are not eclipsing binaries. They are very large and luminous yellow supergiant stars that actually pulsate. The shallower of R Scuti's two minima gradually deepens until it becomes the most pronounced low point, and the star now behaves more like a long-period version of Delta Cephei. You should estimate R Scuti once each week.
X Herculis, g Herculis, and RR Coronae Borealis
These are semiregular variables that provide an interesting weekly project (Fig. 15.3).
Abstract: There are many European countries in which astronomy does not appear as a specific course in secondary school. In such cases, astronomy can be introduced through other subjects. This paper concerns astronomy in mathematics classes. Teaching astronomy through mathematics would result in more exposure than through physics, for instance, because mathematics is more prevalent in the curriculum. Generally, it is not easy to motivate students in mathematics, but they are motivated to find out more about the universe, and about astronomy current events which appear in the media. This provides an excellent introduction to several mathematics topics. Specific connections include: angles and spherical coordinates to star trails; logarithms to visual magnitudes; plane trigonometry to orbital motion; spherical trigonometry to the obliquity of the ecliptic; and conic curves to sundials at various latitudes. These practical, applied connections make mathematics courses more attractive to students.
Astronomy in mathematics in schools
Astronomy has an interdisciplinary aspect that is potentially very positive. It is good to combine astronomy with other topics and to introduce astronomy in general projects in school in order to integrate several courses, for instance physics, mathematics, geography, biology or history. However, these kinds of project are sporadic. Of course, it is a good idea to promote them, but it is not possible to organize the astronomical education of young people with only this kind of project. It can be positive for astronomy to appear as a small part of other subjects. If astronomy appears in several subjects, this communicates to the students astronomy's interdisciplinary nature, which is very positive.
Harry Shipman: Virtually everything that has happened in the conference is relevant to one or more of the recommendations of the resolution (see pp. 2–3). There should be a session like this at the next IAU General Assembly meeting and, preferably, it should not be on the last day.
Jay Pasachoff: I agree. Perhaps we are scheduled at the end of the meeting because we requested to be adjacent to the Teachers' Day. Next time we can ask to be earlier, and we can also ask for more than one session. Within the structure of Commission 46 on Astronomy Education and Development, we will certainly ask all our national liaisons to circulate the resolution within their respective countries. Further, we can ask the IAU national representatives to bring this resolution to a higher level: to the respective education ministries.
Case Rijsdijk: We should try to focus on bringing astronomy into the teacher-training institutions.
Syuzo Isobe: This resolution is a natural result of the present condition of astronomy education worldwide. However, although many IAU Commissions talk about the importance of education, the reality is that most of them only think about education at the research level, but not at the “mass” level. Therefore, our resolution should include a statement – backed up by IAU members, the IAU itself, and the national committees – to try to take school education seriously.
Abstract: The school curriculum in many countries includes astronomical topics such as the seasons, phases of the moon, planets, and stars. Yet teachers at all school levels generally do not know much astronomy and have difficulty teaching that part of the curriculum. Even if they have some knowledge of the subject, they may not have the resources to illustrate it and to create enthusiasm in their students. One solution is to take them to a place specializing in astronomy education - a suitable science center or museum or planetarium or public observatory.
What are science centers and planetariums?
Science centers and planetariums are places that are dedicated to illustrating and explaining astronomical concepts. There are different types of institutions, though some have elements of more than one:
Science centers have interactive or “hands-on” exhibits. They cover a variety of scientific subjects that in some cases include astronomy.
Planetariums project star fields and astronomical images on a curved dome above an audience.
Museums have objects and displays. Like science centers, they cover a variety of subjects; in some cases they include astronomy.
Public observatories have telescopes that are available to the public.
Why take students to a science center or planetarium?
Teachers take their students to science centers, planetariums, or similar places for a variety of reasons:
Instruction: students can be instructed by someone knowledgeable about astronomy.
Stimulation: students will be stimulated by the exhibits, the show and the ambience.
Abstract: Why is astronomy useful? Why should it be part of the school curriculum? This paper lists about 20 reasons: cultural, historical, and philosophical reasons; practical, technological, and scientific reasons; environmental, aesthetic, and emotional reasons; and pedagogical reasons. Astronomy can attract young people to science and technology; it can promote public awareness, understanding, and appreciation of science; it can be done as an accessible, inexpensive hobby: “the stars belong to everyone.” This paper then connects the reasons to the expectations of the modern school curriculum, including knowledge, skills, applications, and attitudes.
One of the goals of the conference upon which this book is based is to encourage more and better astronomy in schools around the world. A second goal, which will help to achieve the first goal, is to encourage and facilitate the development of teacher training in astronomy, and of resources and other materials for teachers. A third goal is to identify effective, efficient, culturally appropriate strategies for achieving these goals in each country. These goals are expressed in the Resolution which was presented to the 2003 IAU General Assembly by Commission 46. I am grateful to Magda Stavinschi, of Romania, for starting the process which led to this Resolution (see the Introduction to this volume). Implementation of these goals will require effective linkages between astronomers and educators; the National Liaisons to IAU Commission 46 can play an important role here. They can work through the “astronomical community” in each country, as defined by Percy (1999).
Abstract: Since the early 1990s there has been a proliferation of astronomy courses offered over the Internet. Accompanying the courses has been an increasing number of robotic and remote-control telescopes. Since 1994, Charles Sturt University, Australia, has offered a course on cosmology for gifted and talented high-school students and, since 2000, a remote control telescope for use by elementary- and high-schoolteachers and their students. Both programs are accompanied by extensive resource materials and are offered by distance education to participants. This paper describes many of the outcomes of the research conducted on both projects and what has been learned with respect to the necessary conditions in order that elementary- and high-schoolteachers engage with exciting programs on offer. Professional development of teachers is a key issue if these programs are to be successful.
Introduction
There have been exciting times since the advent of the World Wide Web in Australia in 1993. The medium has led to a proliferation of courses on the Internet for people interested in a whole host of things ranging from astronomy to astrology, from cosmology to cosmetology, and from celestial mechanics to celestial creativity. Accompanying the courses has been a proliferation of controllable devices: the first robotic telescope was made available in 1993 at the University of Bradford; other projects have been “Telescopes in Education” in 1996, the Charles Sturt University (CSU) Remote Telescope Project in 2000, and the Faulkes Telescope Project in 2003. Other robotic devices in their various forms from cars to manipulators to electron microscopes are also available.