Scientist. Inventor. Painter. Sculptor. Architect. Cartographer. Mathematician. Maverick.
The list of attributes goes on and on. If I wasn’t referring to Leonardo da Vinci, this type of person surely seems too good to be true. Mythical, in fact. Really, who can excel in all of these subjects, and more?
Leonardo da Vinci is often referred to as the quintessential example of a Renaissance Man, or someone who excels spectacularly in a range of disparate subject areas. Far from being a dilettante, da Vinci is widely considered to have been a genius, and has left lasting significant contributions in fields such as medicine, art, mathematics, and engineering. Nearly 500 years after his death, da Vinci’s creativity, brilliance, and the sheer audacity of his ideas mark him as one of the greatest minds ever known. Contemporary scientists, inventors, and artists regularly cite him as an inspiration, and his relevance still reverberates today. In 1994, Microsoft founder Bill Gates bought one of da Vinci’s notebooks for about $30 million. This particular codex – one of 30 – contains da Vinci’s theories and observations on scientific matters such as fossils, air, the properties of water and rocks, astronomy, and celestial light. His relentless curiosity in various subjects is something that many students actively respond to.
Recently, I read of a new trend among some colleges and universities to shorten their degree programs to three years instead of the usual four. Electives and other classes not directly pertinent to students’ majors are dropped, thus enabling students to graduate a full year earlier. The reason, of course, is economic. College tuitions are staggering, and increasingly out of the financial reach for many families. I understand the motivation behind such a restructuring, yet what is lost to these students? For years, higher education has followed a classical model of education, with students taking classes in a variety of subject areas, with the goal of being well-rounded and, well, educated. Will we lose potential da Vincis – Renaissance men and women – as a result? What if da Vinci had only focused on painting, or only on medicine – would his legacy still loom as large as it does today? Or has the notion of a Renaissance education in the 21st century become antiquated?
Whatever the case, one of the beauties of learning about da Vinci (and there are many) is that he’s a perfect subject for cross-curricular studies. While he’s widely studied in art classes, his ideas in engineering, mathematics, and medicine in particular lend themselves to fertile exploration in a variety of subject areas. My picks this week focus on different aspects of Leonardo’s many legacies, which will hopefully spark some students to develop and nurture their own nascent ideas. We’ll also be featuring many more resources on da Vinci and his ideas on The Gateway’s Facebook and Twitter pages throughout the week, so please be sure to check in. Lastly, if some students have difficulty identifying with da Vinci’s dizzying array of attributes, you can always let them know that he, too, had his lesser moments: he was apparently a chronic procrastinator.
Breaking the Codex
Subjects: World history, Science, Language Arts
Grade: 4-6
In this lesson, students learn about Leonardo da Vinci and his legacy. The lesson contains activities in which students create advertisements in honor of one of da Vinci's inventions, and attempt to copy his mirror-handwriting technique. This lesson is part of the Time Warp Trio series produced by WGBH, the flagship PBS station in Boston. These lessons offer concise overviews of historical time periods, and include two activities, curriculum connections and standards, handouts, and recommended books and links. All lessons are linked to national standards.
Leonardo da Vinci Activity: Vitruvian Man
Subject: Algebra
Grade: 6-8
How can we trust a drawing? One of Leonardo da Vinci's drawings is called the Vitruvian Man. It is based on a model of ideal mathematical proportions. In this activity, students will measure each other, chart their data, and test whether their respective arm spans equal their heights. This lesson is offered by The Math Forum at Drexel University, which provides expert math help services, online resources for teaching and learning, and curricular materials.
Theft of the Mona Lisa
Subjects: Art, World history
Grade: 7-12
The theft of the Mona Lisa created a frenzy when it was stolen in 1911. In this lesson, students will investigate the question, "What is an icon?" They will compare their impressions and interpretations of the Mona Lisa to the hypothetical opinions of other people affected by this painting. This lesson is also a natural starting point for a discussion about which images have become, or will become, icons in the future, leading students to investigate the following Life-long Learning Question: What shared understandings does an iconic image communicate? This lesson is a product of PBS Treasures of the World, which highlights the stories behind various masterworks of art and nature.
~Joann's Picks - February 4, 2011~
Showing posts with label Algebra. Show all posts
Showing posts with label Algebra. Show all posts
Monday, February 7, 2011
Sunday, November 14, 2010
Forensic Files
Two summers ago, our local school department offered a one-week forensic science summer camp for older elementary students. Most of the kids were not there by choice, having been enrolled by their parents who thought that the course sounded “fun.” The teacher, having taught this course a few times before, was used to the student foot-dragging and wistful stares out the window at their unencumbered brethren playing outside, blissfully free from the tyranny of overly ambitious parents. The course focused on the investigation of an environmental crisis where local fish were killed by toxins in the water. The course, based on an actual event, asked students to analyze water quality, fish anatomy, business practices, town relationships, and environmental events in order to determine who – or what – was responsible for releasing the toxins into the water supply. Within 30 minutes on the first day, all the students were hooked.
Much credit must be given, of course, to the teacher. She was engaging, thoroughly prepared, knew her science inside and out, and was a gifted storyteller. The kids were captivated. What also captured their interest was the sheer mystery of the case, and how they had to create and recreate various scenarios in order to solve the puzzle of the dead fish. The course offered them hands-on detective work (testing water samples and dissecting perch) coupled with basic research such as reading through police reports, witness accounts, weather reports, and other data. By the third day of the course, all the students fairly blew by their peers on the playground outside in their haste to get to the classroom. That’s what I call success!
Forensic science has garnered much attention recently. It plays a prominent role in TV shows like The Forensic Files, Law & Order, CSI, and Dexter. Forensics is an incredibly diverse scientific field: there are forensic dentists, forensic veterinarians, pathology, and other specialties. At its most basic level, forensic science is a rich melding of modern technology and good old-fashioned storytelling. There’s something appealing about methodically working backwards on a problem – taking the evidence left at the scene of the crime or event – and attempting to retrace and recreate the events in order to figure out what really transpired. As the students discovered in the summer course, forensics also involves presenting or supplying scientific evidence in court cases. It’s possible to include some aspect of forensic science in a multitude of subjects, then, and not just in science class.
My picks this week all focus on some aspect of forensic science. While the resources below are appropriate for upper elementary through high school students, I will be featuring age-appropriate resources for all ages on our our Facebook and Twitter pages throughout the week.
Ink Chromatography
Subjects: Physical science
Grade: 5-12
Who wrote the ransom note? This ink chromatography lab uses common household materials to determine which pen actually wrote the note. This activity was created by the Shodor Educational Foundation, a non-profit research and education organization dedicated to the advancement of science and math education, specifically through the use of modeling and simulations.
CSI Podcasts
Subjects: Writing, Physical science, Technology
Grade: 6-8
Everyone loves an (imaginary) crime scene! In this lesson, students create a series of podcasts to help them solve crime scenes, and later review the material for tests. They’ll learn about mammals and ecology for a poaching scenario, microscopes, bacteria, fungi, and protists for an epidemiological-type scenario, and genetics for blood typing. This lesson is a product of DigitalWish, a non-profit whose mission is to modernize K-12 classrooms and prepare students for tomorrow's workforce. Teachers create wish lists of technology products for their classroom, and donors then connect with their favorite schools and grant classroom wishes through online cash or product donations.
Crash Scene Investigation
Subjects: Math, Algebra, Functions, Patterns, Physical science
Grade: 9-12
In this online simulation, students virtually help the highway patrol recreate a deadly crash by examining the evidence and calculating the forces. The simulation includes supporting materials, such as real crash scene photos (no gore), a glossary of terms, and a teacher’s guide. This resource is offered by Edheads, a non-profit organization that creates educational web experiences that are free to teachers, students and parents. This simulation is aligned to national and Ohio state standards.
~Joann's Picks - 11/13/2010~
Much credit must be given, of course, to the teacher. She was engaging, thoroughly prepared, knew her science inside and out, and was a gifted storyteller. The kids were captivated. What also captured their interest was the sheer mystery of the case, and how they had to create and recreate various scenarios in order to solve the puzzle of the dead fish. The course offered them hands-on detective work (testing water samples and dissecting perch) coupled with basic research such as reading through police reports, witness accounts, weather reports, and other data. By the third day of the course, all the students fairly blew by their peers on the playground outside in their haste to get to the classroom. That’s what I call success!
Forensic science has garnered much attention recently. It plays a prominent role in TV shows like The Forensic Files, Law & Order, CSI, and Dexter. Forensics is an incredibly diverse scientific field: there are forensic dentists, forensic veterinarians, pathology, and other specialties. At its most basic level, forensic science is a rich melding of modern technology and good old-fashioned storytelling. There’s something appealing about methodically working backwards on a problem – taking the evidence left at the scene of the crime or event – and attempting to retrace and recreate the events in order to figure out what really transpired. As the students discovered in the summer course, forensics also involves presenting or supplying scientific evidence in court cases. It’s possible to include some aspect of forensic science in a multitude of subjects, then, and not just in science class.
My picks this week all focus on some aspect of forensic science. While the resources below are appropriate for upper elementary through high school students, I will be featuring age-appropriate resources for all ages on our our Facebook and Twitter pages throughout the week.
Ink Chromatography
Subjects: Physical science
Grade: 5-12
Who wrote the ransom note? This ink chromatography lab uses common household materials to determine which pen actually wrote the note. This activity was created by the Shodor Educational Foundation, a non-profit research and education organization dedicated to the advancement of science and math education, specifically through the use of modeling and simulations.
CSI Podcasts
Subjects: Writing, Physical science, Technology
Grade: 6-8
Everyone loves an (imaginary) crime scene! In this lesson, students create a series of podcasts to help them solve crime scenes, and later review the material for tests. They’ll learn about mammals and ecology for a poaching scenario, microscopes, bacteria, fungi, and protists for an epidemiological-type scenario, and genetics for blood typing. This lesson is a product of DigitalWish, a non-profit whose mission is to modernize K-12 classrooms and prepare students for tomorrow's workforce. Teachers create wish lists of technology products for their classroom, and donors then connect with their favorite schools and grant classroom wishes through online cash or product donations.
Crash Scene Investigation
Subjects: Math, Algebra, Functions, Patterns, Physical science
Grade: 9-12
In this online simulation, students virtually help the highway patrol recreate a deadly crash by examining the evidence and calculating the forces. The simulation includes supporting materials, such as real crash scene photos (no gore), a glossary of terms, and a teacher’s guide. This resource is offered by Edheads, a non-profit organization that creates educational web experiences that are free to teachers, students and parents. This simulation is aligned to national and Ohio state standards.
~Joann's Picks - 11/13/2010~
Sunday, February 7, 2010
A Call to (Math) Arms
We recently heard from teacher MCN who asked for math lessons using iPods or cell phones. This turned out to be a tall order: while there are companies popping up all over offering fee-based math games for cells and iPods, there aren’t currently a lot of good freely available resources. So, hear ye, hear ye, I’m issuing an official call – I’d like to know about free math lessons/apps you’ve created for iPods or cells; links appreciated. In the meantime, some offerings:
The Tangent Function
http://www.thegateway.org/browse/dcrecord.2010-01-24.4953102213
Subjects: Math, Trigonometry
Grade: 10-12
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. Well, alrighty, then. While this concept may click immediately with some students, others (like me) might need some extra support. This 2 minute, 55-second math animation can be downloaded to an iPod with video capabilities and used to coach students through the tangent function. This animation is offered by mathtutor, which is comprised of a group of UK teachers, mathematicians and new media producers from the Universities of Leeds, Loughborough and Coventry and the EBS Trust.
Math Snacks: Bad Date
http://www.thegateway.org/browse/dcrecord.2010-01-15.0412763670
Subjects: Math, Proportions, Ratios
Grade: 5-8
This is one bad date that you’ll actually want to stick around for. This “math snack” is a brief (less than 10 minutes) animation that humorously visualizes the ratio of words spoken on a series of dates. It can be viewed online, or downloaded to an iPod or iPhone. Besides the humor and the engaging graphics, I like that this resource also has learner and teacher guides available with extension activities, discussion points, and more. If downloaded to an iPod, it can be viewed repeatedly at a student’s discretion. Math Snacks are the brainchildren of the New Mexico State University Media Productions department, which offer dynamic educational media developed by its award-winning team of faculty, animators, game and web designers, videographers, programmers, and artists.
Linear & Exponential Growth Poetry
http://www.thegateway.org/browse/dcrecord.2010-01-24.7918361798
Subjects: Math, Algebra, Writing
Grade: 6-12
Remember “My Hero, Zero”? If you grew up in the 1970s, you’ve hit pay dirt with this lesson. Using Schoolhouse Rock videos and footage from a classic Coke commercial, this lesson teaches students about the differences between linear and exponential growth. I like that this is a cross-curricular activity combining those two unlikely bedfellows, math and language arts. Students fill in the numbers they hear in the songs, with the idea that they see how fast exponential growth (geometric, multiplying) grows as opposed to linear (arithmetic, adding). The videos can be downloaded to iPods and used outside the classroom. This lesson is provided by NumberFix, part of the Northern Nevada Writing Project's Writing Across the Curriculum workshops for teachers that is designed to inspire writing about math in the classroom.
The Tangent Function
http://www.thegateway.org/browse/dcrecord.2010-01-24.4953102213
Subjects: Math, Trigonometry
Grade: 10-12
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. Well, alrighty, then. While this concept may click immediately with some students, others (like me) might need some extra support. This 2 minute, 55-second math animation can be downloaded to an iPod with video capabilities and used to coach students through the tangent function. This animation is offered by mathtutor, which is comprised of a group of UK teachers, mathematicians and new media producers from the Universities of Leeds, Loughborough and Coventry and the EBS Trust.
Math Snacks: Bad Date
http://www.thegateway.org/browse/dcrecord.2010-01-15.0412763670
Subjects: Math, Proportions, Ratios
Grade: 5-8
This is one bad date that you’ll actually want to stick around for. This “math snack” is a brief (less than 10 minutes) animation that humorously visualizes the ratio of words spoken on a series of dates. It can be viewed online, or downloaded to an iPod or iPhone. Besides the humor and the engaging graphics, I like that this resource also has learner and teacher guides available with extension activities, discussion points, and more. If downloaded to an iPod, it can be viewed repeatedly at a student’s discretion. Math Snacks are the brainchildren of the New Mexico State University Media Productions department, which offer dynamic educational media developed by its award-winning team of faculty, animators, game and web designers, videographers, programmers, and artists.
Linear & Exponential Growth Poetry
http://www.thegateway.org/browse/dcrecord.2010-01-24.7918361798
Subjects: Math, Algebra, Writing
Grade: 6-12
Remember “My Hero, Zero”? If you grew up in the 1970s, you’ve hit pay dirt with this lesson. Using Schoolhouse Rock videos and footage from a classic Coke commercial, this lesson teaches students about the differences between linear and exponential growth. I like that this is a cross-curricular activity combining those two unlikely bedfellows, math and language arts. Students fill in the numbers they hear in the songs, with the idea that they see how fast exponential growth (geometric, multiplying) grows as opposed to linear (arithmetic, adding). The videos can be downloaded to iPods and used outside the classroom. This lesson is provided by NumberFix, part of the Northern Nevada Writing Project's Writing Across the Curriculum workshops for teachers that is designed to inspire writing about math in the classroom.
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