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Viewing: Blog Posts Tagged with: Earth Science, Most Recent at Top [Help]
Results 1 - 4 of 4
1. Calendars, or, Nature Hates Math

The mathematics of dates is deceptively straightforward and should be approached with caution, as many of us might have noticed last week when an intercalary day was observed in our solar calendar. Why did we have an extra day again?

Most youngsters can tell you that leap day happens once every 4 years (excluding the turn of each century) to make up for “lost time” in our calendar. Since our calendar is solar, we assign a date to each solar day. We also assign a year to each revolution of the Earth around the sun. The problem is, the actual length of a year, so defined, is not divisible by the length of a day, so defined. In fact a year is about equal to 365.25 days. So, most years we round down to the nearest day. Sounds fine, right? Why not leave it at that and forget this leap day nonsense all together?

Well, if we didn’t have leap day, our calendar would gradually slip behind the changing of the seasons and the observance of the holidays at a rate of about 1 day every 4 years. That means that if we went 100 years without any leap days, Christmas would be in January instead of December. If we went 700 years without any leap days, Christmas would be in June. Oh, the horror!

Okay, why don’t we dispense of leap day and instead, insert an extra quarter-day (6 hours) into EVERY calendar year? This would keep our holidays in the correct months, but it would create a similar problem with out solar days. Right now, we follow a medieval Christian tradition so that each day begins at midnight and lasts for exactly 24 hours. If we added a quarter day to each year, though, the measurement of days would be thrown off by 6 hours every year. For example, if in 1980 January 1 began at 12 midnight, then in 1981, January 1 would begin at 6:00 A.M.; in 1982 it would begin at 12:00 noon; and in 1983 it would begin at 6:00 P.M., and that would make for some really lousy New Year’s parties. (Among other, more significant lousiness.)

Some cultures don’t seem to care about their months wandering all over the season, like we do. Let’s look at the Islamic calendar, a lovely example of a lunar calendar. The months of a lunar calendar are the length of one lunar cycle (about 29 days) and therefore, the calendar is approximately 11 days shorter than our solar calendar. The Arabian calendar on which the Islamic calendar is modeled used an intercalary month (a leap month!) to remedy this discrepancy, but intercalary months are forbidden in the Koran and so the modern Islamic calendar falls 11 days behind ours every year. And no one seems to mind that the holidays move through the seasons without settling on a single spot in the solar year.




The Solar calendar that we use today, and the Islamic calendar, are two of the newest calendars around, though, and it is important to note that calendars become more mathematically simple the newer they are. If we go a little ways back in time, we discover that keeping track of the date used to be far more confusing than it is today.

It is not necessary to commit to following either a solar calendar or a lunar one. The Hebrew calendar, which has been in use for almost 6,000 years (give or take a few, 165 years from way back are, well, unaccounted for) is luni-solar. Like the Islamic calendar, the months are lunar. However, the framers of the Hebrew calendar were very concerned that the holidays correspond with specific seasonal changes, and so a system on intercalary months was designed to prevent that pesky loss of 11 days per year. Unfortunately, those leap months can be hard to keep track of. Our Solar calendar has a 4-year cycle, in which 3 years are standard and one is a “leap” year. The Hebrew calendar has a 19-year cycle, in which 12 of the years have 12 lunar months, and 7 of them have 13. So for every 19 years, there are 7 leap months. Wow! Convoluted!

What’s that? You would like to know of an even more elaborate method to keep track of the date? Well, we can go even farther back in time to Meso-America and there we find that the Mayans and Aztecs, among others, maintained at least TWO calendars: a 365-day solar calendar, and a 260-day calendar, derived either from numerology, the length of human gestation, or the interval between solar zeniths at Chiapas. Having two calendars creates a “calendar round” which is the length of the lowest common multiple of the number of days in each calendar. These two cycles, known to have been used by the Meso-Americans, align once every 52 solar years, or every 73 “gestation” years, and this alignment yielded 18,980 unique days for each “calendar round,” as the period was called. Since the average Mayan life expectancy back then was less than 52 years, years and calendar round were not numbered. Instead dates were recorded by their unique location within the calendar round. Meso-Americans are known now to have been excellent astronomers, but interestingly, there is no evidence that they ever availed themselves of intercalary days or months for the purposes of keeping their months and seasons consistent. It appears that while the Meso-Americans were aware of the discrepancy, they chose not to correct it, at least, not in their solar calendar.


Confusing enough for you?

While the math-y part of me loves that there have been and still are diverse systems of measurement that require many subtle mathematical operations to synchronize, the rest of me (some call this “the lazy part”) is relieved that the modern world has the International Organization for Standardization, which gives us an easy way to indicate dates within the Solar year with their Ordinal Dates. This system dispenses entirely with months (Accept it! Months are arbitrary vestiges of the lunar calendars we used ages ago!) and instead assigns an ordinal number to each date. In other words, instead of writing today’s date as 2008-03-05, I would write 2008-065, to indicate that today is the 65th day of the year 2008, and a system of dates that only requires two numbers is, after all this time, a relief.

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2. Middle School Science: What Is the Best Approach?

When I taught at the Windsor School, a private 7–12 school in Queens, some 20 years ago, each grade covered one science subject. In grade seven it was pre-Earth science, in grade eight it was pre-biology, and in grade nine it was pre-chemistry. This worked just fine at that time. Students were exposed to each of the high-school-level sciences that would be offered to them in grades 10, 11, and 12.

However, things in education have changed since then. Many states, including New York, now have an eighth-grade exam that tests the entire middle school science curriculum. After studying one science per year, how many students, I wonder, will be able to remember what they learned in the first year of middle school through to the last year? To me, the solution is to cover some life science, some physical science, and some Earth science each year in a curriculum that spirals through the grades.

To help teachers and students, Amsco has just published Amsco’s Science: Grade 8, the third volume of our three-book middle school science series. Its purpose is to provide a complete, clear, and concise presentation of middle school science concepts, in life, Earth, and physical science in an integrated approach. This book builds on the information in Amsco’s Science: Grade 6, and Amsco’s Science: Grade 7. (Turn up the volume and watch our YouTube ad!)




The books in the series correlate 100% to the National Standards for middle school science, the NYS Middle School Core Curriculum for Grades 5–8, and the new Middle School Scope and Sequence for NYC. Each grade covers topics in life, Earth, and physical science. And at each grade level, a unique feature helps students make real-world connections to science. In the grade 6 textbook, the Career Planning section explores science-related careers. Grade 7's Science in Everyday Life feature shows students how science affects their lives. Grade 8 has Science Headline News, which zooms in on current events in science.

At each grade level, the Chapters are divided into Lessons as a planning aid for teachers. Lessons include Skill Activities, Web resources, and little-known science facts to spur student interest. Review sections contain questions of varying levels of difficulty to address the needs of all students. Extended-response questions challenge students to think, analyze, and write.

To order any or all books in the series, visit http://www.amscopub.com/ and click Online Purchasing and then General Science.

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3. Meet the Author: Thomas McGuire

Earth Science educator Thomas McGuire was born in 1945 at Canandaigua in the Finger Lakes Region of New York State. Tom’s father had been an iron worker, but took a safer factory job in nearby Shortsville because he and his wife wanted to settle down. Tom attended Red Jacket Central Schools. A life of travel started when he became an exchange student in Cuenca, Ecuador. (Tom returned for the first time this year. He traveled the Andes by local buses, and actually found some members of the family he stayed with 46 years ago.)




At the University of Rochester, Tom majored in geology, filling his head with rocks. In graduate school at Binghamton University, he majored in geology education and began teaching in the Vestal schools. Before he had tenure, wanderlust stuck again and Tom flew to Melbourne, Australia. He spent two years there in the International Teaching Fellows program. In Australia, he discovered kangaroos, wombats, and Fosters, visiting the far ends of continent at every opportunity. He flew home via Asia and Europe and spent Christmas north of the Arctic Circle.



Shortly after his walkabout, Tom moved to Westchester County where he met his wife, Elaine, an Oneonta graduate. For their honeymoon they traveled the west in a Ford Pinto and a pup tent. In the summer of 1976, they toured Europe. Both lived and taught in Yorktown Heights.

The family grew; Kristen was born in 1978. Kristen graduated from Tulane University, where Tom’s brother holds an endowed chair of physics. Kristen now works on biological databases while her husband, Eric, programs heart pacemakers. Their first child, Lillian, was born this past spring. They live in Silicon Valley near San Jose, CA. Erin was born in 1980. After attending Claremont McKenna College and Cal State LA, Erin has become a school psychologist in Los Angeles. She’s actually teaching her investment banker boyfriend about personal savings and investing.

Tom became a frequent consultant to the New York State Education Department and a Fellow of the Science Teachers Association of New York State.(STANYS) As a STANYS fellow, he joined a group of dedicated professionals with whom he stays in close contact through the New York ESPRIT listserv. Tom originated summer workshops at SUNY Purchase, which have continued and evolved under colleague Steve Kluge. Tom’s first book was a geology field guide to Westchester County, NY. (Rochester Mineralogical Symposium, 1991)

That same year, his first Amsco review book came out, the one with the Yenta Glacier on the cover. (Very cool. Pun intended.) It is now called Reviewing Earth Science: The Physical Setting. His Amsco Earth Science: Reviewing the Essentials was published in 2001. Earth Science: The Physical Setting, a hardbound textbook was published in 2005. The Laboratory and Skills Manual—Earth Science: the Physical Setting, a lab/activity book followed in 2007. The latter is his favorite because it’s direct (“where the rubber hits the road”) student involvement “doing science.”
With the new millennium, Tom and his wife retired as science chairpersons (Briarcliff H.S. and Somers H.S., respectively). They bought a home in Cave Creek, Arizona, because they “like the beach, but not the ocean.” They have rafted through the Grand Canyon twice (actually, rather cushy) and have become enchanted by the narrow slot canyons in the Navajo Sandstone on the Colorado Plateau. Tom is in his second term as an elected Councilman in Cave Creek, where a local newspaper editorial compared him to a “baby-splitting auctioneer of horse flesh.” (A rather humorous and colorful Western motif.) Of course, this appeared in the Sonoran News that also endorsed him in both elections.
Tom returned to Australia, visiting friends in Melbourne and Sydney and flying to Alice Springs (“the Alice”) and the “Top End” at Darwin for three weeks in 2006. He actually attended a Town Council meeting by telephone from an Alice Springs “caravan park.” He called in live to the Council meeting, which according to Australia time would be happening the next morning. He says, “I try to schedule these trips between Town Council meetings, but they seem to run the town just fine when I’m not here.” Meanwhile, Elaine did year three down the Grand Canyon.


He hasn’t yet cured his desire to usually be somewhere else. But his editor, Midge, plans to tie him down with occasional book revisions. This is no mean task. “It’s like squeezing a wet pumpkin seed,” she mused.





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4. Up, Up, and Away: Flying

While visiting an exhibition of antique planes with my son, I mentioned to him that I was due to post to the blog soon and was out of good ideas. He suggested that I write something dealing with Bernoulli’s principle and flying. He said, “We can even take pictures of the old planes.” “Great idea, Ed,” I said. So here goes.

It’s my guess that in the 21st century, most students have flown in a plane, although when I was a student, it was less common. Teachers might like to begin a discussion of flight by asking students what keeps a plane in the air. You can have them blow over a strip of paper and watch it fly. “What makes the paper rise?” Eventually, you can discuss Bernoulli’s principle.

Another Principle of Flight

Teachers can show their students a helium balloon or a picture of a blimp and ask: “What makes these objects fly? Is it Bernoulli’s principle?” Of course, the answer is no. This time it is the difference in density. There are many ways to lead students to this answer. One way is to have the students look at the Periodic Table of the Elements. “What is the atomic mass of helium?” (4 atomic mass units [amu]) “What is the composition of air?” (Approximately 80% nitrogen and 20% oxygen) “What is the atomic mass of nitrogen?” (28 amu) Tell your students that under the same conditions of temperature and pressure, equal volumes of gases contain an equal number of particles (molecules). Nitrogen molecules are heavier than helium molecules. So, helium is less dense than air.

Density differences are also involved sinking and floating. These concepts are commonly taught in middle school. These topics are discussed in Amsco Science: Grade 6, the first book in our new middle school science series. In Earth science classes, density differences are important in weather and in the study of rocks and minerals. These topics are discussed in Earth Science the Physical Setting, Reviewing Earth Science: The Physical Setting, and Earth Science: Reviewing the Essentials all by Thomas McGuire and Earth Science Work-Text by Constantine Constant. In addition, there are activities and labs in Laboratory and Skills Manual for Earth Science: The Physical Setting. You can learn more about these books on our Website http://www.amscopub.com/.

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