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Additive color

There are 2 ways to create color:

additive model/RGB:

Make new colors by adding beams of light

RGB: red, green, blue

subtractive model/CMYK:

Making new colors by adding pigments (dyes, inks, paints)

CMYK: Cyan, Magenta, Yellow, Black

This lesson is on the additive color model.

Additive and Subtractive primary colors

This lesson is from Apple Valley High School
http://www.district196.org/avhs/dept/science/physics/physicsweb04/AVHSPhysics/color-notes.html

Additive color: mixing beams of colored light

We start with no light, and add colors of light together to get the final result.

Complementary colors: These are two colors (one primary, one secondary) which, when added together, make white light. They are:

magenta and green
yellow and blue
cyan and red

Three projectors emit the 3 primary colors of light (red, green, blue) on a “white” screen.

Where two of the primary colors overlap you’ll find a secondary color.

Where all three overlap you’ll find white light.

Complementary colors are always across the white spot from each other in this “color wheel”.

light-boxes-make-white-light

Mixing colors of light

We have a white screen. It can reflect any color of light we shine on it.

Now shine red light on the surface – and hold up a hand so we cast a shadow.

The shadow will have no light hitting it so it will be black, while the rest of the screen would reflect the red light.

red-light-on-hand-hewitt

Now let’s add a green light on the right side of the picture.
Check out what happens now!

red-and-green-light-on-paper

Notice how the screen has both green and red which makes yellow.

The shadow on the left blocks the green light, so the red light is the only light that hits that particular shadow.

The right shadow is green for the same reason. Cool, huh?

Now let’s add blue in the center. Check it out!

red-blue-and-green-bulbs-on-paper

The screen has gone to white since it has red, green and blue striking it’s surface.

It reflects all 3 colors back to our eyes, so we see white.

The shadows are now the secondary colors (magenta, yellow, cyan).

This is because each shadow has 2 of the 3 primary colors hitting it, so it becomes one of the secondary colors.

Note: All of this is ONLY for mixing rays of light. If you try mixing pigments (the colored chemicals in paints, crayons, dyes, markers, etc) we will get totally different results.

Looking at a white object in a white light:

White objects in white light

.

White object in blue light

m

white object in red light

m

red object in red light

m

red object in blue light

m

red apple and green pear in white light

m

red apple and green pear in red light

m

red apple and green pear in blue light

 

Problems

When three colored lamps, red, blue and green, illuminate a physics instructor in front of a white screen in a dark room, three slightly overlapping shadows appear. Specify the colors in regions 1 through 6.

three-color-lamps-on-a-guys-face-additive-color

http://dev.physicslab.org/Document.aspx?doctype=5&filename=Compilations_NextTime_Shadows2.xml

External lessons

PhET lab color vision

Additive and Subtractive Color in early color movies

http://www.widescreenmuseum.com/oldcolor/oldcolor.htm

Learning Standards

Massachusetts Arts Curriculum Framework: The Practice Of Creating

PreK- 4 Visual Arts Standards – Identify primary and secondary colors; predict and demonstrate the effects of blending or overlapping primary colors; demonstrate knowledge of making dark to light values of colors. Identify and use basic two-dimensional hollow and solid geometric shapes (circle, triangle, square, rectangle) and three-dimensional forms (sphere, pyramid, cube).

Grades 5-8 Visual Arts Standards – Create compositions that reflect knowledge of the elements and principles of art, i.e., line, color, form, texture; balance, repetition, rhythm, scale, and proportion. Demonstrate the ability to apply elements and principles of art to graphic, textile, product, and architectural design.

Massachusetts Arts Curriculum Framework: The Arts Disciplines: Visual Arts –  PreK–12 STANDARD 2: Elements and Principles of Design

By the end of Grade 4: 2.1 Students will, for color, explore and experiment with the use of color in dry and wet media Identify primary and secondary colors and gradations of black, white and gray in the environment and artwork.
By the end of Grade 8: 2.7 Students will, for color, use and be able to identify hues, values, intermediate shades, tints, tones, complementary, analogous, and monochromatic colors. Demonstrate awareness of color by painting objective studies from life and freeform abstractions that employ relative properties of color

Eclipses

Eclipses and the path of light: Geometric optics

How do we get a solar eclipse?

Details about this, and the Earth-moon system in general, are here:

Kaiserscience Earth-moon system.

Here are the basics:

solar eclipse

Solar Eclipse via Shutterstock

How do we get a lunar eclipse?

The three types of shadows:

The umbra (Latin “shadow”) is the innermost, darkest part of a shadow.

This is where the light source is completely blocked.

The penumbra (Latin paene “nearly”) is where only a portion of the light is obscured.

An observer in the penumbra experiences a partial eclipse.

The antumbra (Latin ante, “before”) is where the occluding body appears entirely contained within the disc of the light source.

An observer here sees an annular eclipse, in which a bright ring is visible around the eclipsing body.

https://en.wikipedia.org/wiki/Umbra,_penumbra_and_antumbra

Here we see rays of light from the Sun, hitting the Earth. This happens 24-7.

Behind the Earth the three types of shadows always exist, 24-7.

If the moon passes through one of these regions, then we get one of these types of eclipses.

What are the conditions for a lunar eclipse?

 

Coding midterm

I. Write a sophisticated Scratch computer program, on your own, not using someone else’s code. You must first come see me with your idea, and then present quick updates, showing your progress.

Checkpoint 1 See me with your specific idea, by 5/30/17.  10 points.

Checkpoint 2: Show me the code you have each day in class. You need to be clearly explain how your code works. Your code should have many comment sections.  By the time that finals come around, your program must be complete.  If done well you can earn up to an additional 90 points.

II. Write a 4 page paper on one of the following topics.

No cover page. Upper left of the 1st page will have your name, my name/class, date and a title.  Use 12 point Arial or Times New Roman font, double spaced, 1″ margins.  You may add small diagrams and pictures, but they don’t count towards the length of your paper.  MLA Works Cited is an additional page. You must use at least four sources of information, which must be cited in MLA format.

For these topics, most Wikipedia articles are acceptable sources, however, you may not use Wikipedia for more than 2 of your sources, and you must first show me the specific , so I can make sure that it’s Ok.

A) Computers don’t actually think. So how do they know what to do with the code we write? What goes on under the hood, so to speak?  I’ve prepared many sources that you can use: How-a-computer-interprets-instructions

B) the development of computers and software: Choose 1 of these systems: the classic IBM-PC, Apple II, Apple Macintosh, Commodore Vic-20, or Commodore 64.

C) the development and programming of second generation classic video games. Choose 1 or 2 of these systems: Odyssey, Atari 2600 (aka Atari VCS), Magnavox Odyssey 2, Mattel Intellivision, Vectrex, and Colecovision. What kind of hardware was in these computers? How did they work? How were they programmed? In what language were they programmed? What was the software capable of?

D) the development and programming of third generation classic video games for neo-classic video games. Choose 1 or 2 of these systems: Sega Master System (aka the SMS), Nintendo (aka the NES or Famicon), Atari 7800.  What kind of hardware was in these computers? How did they work? How were they programmed? In what language were they programmed? What was the software capable of?

E) the development and programming of fifth generation classic video games for neo-classic video games. Choose 1 or 2 of these systems: Sega Saturn, Sony Playstation (PSX 1), Nintendo 64. What kind of hardware was in these computers? How did they work? How were they programmed? In what language were they programmed? What was the software capable of?

 

 

 

Mirages

A mirage is a naturally occurring optical phenomenon in which light rays are bent to produce a displaced image of distant objects or the sky.

The word comes to English via the French mirage, from the Latin mirari, meaning “to look at, to wonder at”. This is the same root as for “mirror” and “to admire”.

In contrast to a hallucination, a mirage is a real optical phenomenon that can be captured on camera, since light rays are actually refracted to form the false image at the observer’s location.

What the image appears to represent, however, is determined by the interpretive faculties of the human mind. For example, inferior images on land are very easily mistaken for the reflections from a small body of water.

Mirages can be categorized as:

“inferior” (meaning lower)

“superior” (meaning higher)

“Fata Morgana”, one kind of superior mirage consisting of a series of unusually elaborate, vertically stacked images, which form one rapidly changing mirage.

Mirage. (2016, December 18). In Wikipedia, The Free Encyclopedia.

Problems

According to legend, Erik the Red sailed from Iceland and discovered Greenland after he had seen the island in a mirage. Describe how the mirage might have occurred.

Erik The Red Mirage Greenland

Well, that answer from our textbook teacher editions, however true, isn’t very helpful. It’s not clear what we are looking at. Let’s look at a much better picture to see both the problem and the solution.

Problem: Erik the Red shouldn’t be able to see Greenland from where he is standing, on Iceland. Greenland is so far away that it is over the curve of the Earth (over the horizon.)

Solution:

The superior mirage, also know in northern polar regions as the arctic mirage — or in Icelandic, the hillingar effect — causes the light from distant objects to be optically refracted downward

Thus it becomes possible for objects lying beyond the normal horizon to be seen.

(They even appear, at times, to rise up over the horizon, a condition known to mariners as looming, and look much closer in distance.)

Fata Morgana Mirage in Greenland, 1999, by Jack Stephens

Fata Morgana Mirage in Greenland by Jack Stephens

SEE BELOW FOR THE FAMOUS MOBY DICK MIRAGE

superior mirage arctic

The arctic mirage, on the other hand, occurs when the light rays are refracted downward by cold, dense air near the earth into an arc bending toward the observer. (In the diagrams accompanying this article, the dark lines indicate the actual light ray path and the white dashed lines the path our mind thinks it sees.)

The refractivity of air — a measure of the air’s ability to bend the path of light rays — is dependent upon its density, and the density of air is inversely related to its temperature (decreasing as temperature increases). The atmospheric conditions for producing the arctic mirage occur when cool air adjacent to the surface underlies warm air. When the air temperature increases with altitude, the condition is known meteorologically as a temperature inversion.

When the temperature of the lower atmosphere increases with altitude at a rate of 11.2 C° per 100 metres (6.0 F° per 100 ft), the refractive capacity of the air is great enough to cause the path of light rays to bend in an arc equal to the curvature of the Earth.

This curvature can present an observer with the image of a flat horizon receding to infinity. A temperature gradient greater than 11.2 C° per 100 m causes light ray paths to exceed the curvature of the Earth, and thus the horizon would appear to be raised upward giving the Earth’s surface a saucer-shaped appearance.

Under this latter condition, images of objects located at or below the normal optical horizon, such as mountains, glaciers, cliffs or sea-ice rise (loom) into the field of vision, overcoming the normal visual restrictions of the curvature of the Earth.

The normal viewing distance at the surface of the earth depends upon the height of the object being observed and the height of the observer. Disregarding atmospheric effects on light rays, the curvature of the earth restricts the distance one can see from the surface.

For example, a beach or small iceberg rising 3.0 to 3.7 m (10 to 12 ft) above the sea surface can be seen from the surface at a distance of no more than 19.2 km (12 miles) through a clear, normal atmosphere.

A mountain peak of 914 metres (3,000 feet) would disappear at 115 kilometres (72 miles) distant, one 1520 m (5,000 ft) tall at 150 km (94 miles).

The maximum viewing distance under arctic mirage conditions, on the other hand, is limited only by the light absorption of the atmosphere. Near sea level, the transmission of light is generally of sufficient quality to enable the naked eye to potentially see objects at a distance of up to 400 km (250 miles).

However, when the refracting layer is at the upper boundary of a very deep cold layer, the thinner air may permit more light to be transmitted, thus making visibility in excess of 400 km possible.

superior mirage arctic Greenland Iceland

Under arctic mirage conditions, instances of atmospheric visibility extending 320 km (200 miles) have been reported. In 1937 and 1939, W.H. Hobbs documented several occasions during which objects were sighted at distances well in excess of those possible under normal viewing conditions.

Answer text from The Arctic Mirage. Aid to Discovery. The Weather Doctor.

Moby Dick illusion

James Rickards writes

One famous literary description of a Fata Morgana occurs in Chapter 135 of Herman Melville’s masterpiece, Moby Dick. As Ahab is pulled overboard, and the White Whale rams the Pequod, Melville writes:

“The ship? Great God, where is the ship? Soon they through dim, bewildering mediums saw her sidelong fading phantom, as in the gaseous Fata Morgana.”

But, of course the ship was sinking, the vision was an illusion.

Chapter 135 Herman Melville Moby Dick

Amazing examples

A Ship Floating In Mid-Air At A Scottish Golf Tournament?

Images from Why Was There A Ship Floating In Mid-Air At A Golf Tournament? BuzzFeed

Just like the above mentioned mirages!

Tom Phillips BuzzFeed ilyast syntika Thinkstock Mirage

Enter a caption

image: Tom Phillips/BuzzFeed/ilyast/syntika/Thinkstockscottish-golf-tournament-floating-ship-mirage Aberdeen Open

Floating boats and islands

Video

Island and fishing boat mirage

Fata Morgana Mirage at Cocoa Beach, FL!

https://www.youtube.com/watch?v=VcEn3jb3oq4

Lake Superior Marquette, MI 05.23.15 – first scene is real time, freighter in to Marquette, second is timelapse, Granite Island looking like a lava lamp

https://www.youtube.com/watch?v=xJfJTdy2Ge8


External links

An Introduction to Mirages, Andrew T. Young

Fata Morgana between the Continental Divide and the Missouri River

Learning Standards

2016 Massachusetts Science and Technology/Engineering Curriculum Framework

HS-PS4-3. Evaluate the claims, evidence, and reasoning behind the idea that electromagnetic radiation can be described by either a wave model or a particle model, and that for some situations involving resonance, interference, diffraction, refraction, or the photoelectric effect, one model is more useful than the other.

A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas (2012)

Core Idea PS4: Waves and Their Applications in Technologies for Information Transfer
When a wave passes an object that is small compared with its wavelength, the wave is not much affected; for this reason, some things are too small to see with visible light, which is a wave phenomenon with a limited range of wavelengths corresponding to each color. When a wave meets the surface between two different materials or conditions (e.g., air to water), part of the wave is reflected at that surface and another part continues on, but at a different speed. The change of speed of the wave when passing from one medium to another can cause the wave to change direction or refract. These wave properties are used in many applications (e.g., lenses, seismic probing of Earth).

The wavelength and frequency of a wave are related to one another by the speed of travel of the wave, which depends on the type of wave and the medium through which it is passing. The reflection, refraction, and transmission of waves at an interface between two media can be modeled on the basis of these properties.

All electromagnetic radiation travels through a vacuum at the same speed, called the speed of light. Its speed in any given medium depends on its wavelength and the properties of that medium. At the surface between two media, like any wave, light can be reflected, refracted (its path bent), or absorbed. What occurs depends on properties of the surface and the wavelength of the light.

SAT Subject Area Test in Physics

Waves and optics:

  • Reflection and refraction, such as Snell’s law and changes in wavelength and speed
  • Ray optics, such as image formation using pinholes, mirrors, and lenses

Also see Benchmarks: American Association for the Advancement of Science

Cloning

Cloning is a feature that allows a sprite to create a clone, or semi-duplicate, of itself
Useful in tower defense games, for example, for a wave of objects.

Clones of a sprite will be the same as the original, or parent sprite, but as a separate instance.

Clones inherit the parent’s scripts, costumes, sounds, and properties, but can then be modified.

Limit of 300 clones per project to prevent lagging/crashes.

Main tutorial https://wiki.scratch.mit.edu/wiki/Clone

The Create Clone of () block is a control block and a stack block.

It creates a clone of the sprite in the argument. It can also clone the sprite it is running in, creating clones of clones, recursively.

Tutorial https://wiki.scratch.mit.edu/wiki/Create_Clone_of_()_(block)


When I Start as a Clone (block) – a control block and a Hat block.

It activates in a clone when it gets created.

It is the only Hat block in the Control palette; all the others are in Events, Motor, or PicoBoard.

Tutorial https://wiki.scratch.mit.edu/wiki/When_I_Start_as_a_Clone

Delete This Clone

Tutorial https://wiki.scratch.mit.edu/wiki/Delete_This_Clone

Duplicating Sprites: This is NOT the same as cloning

scratch-script-coding-example

Critical thinking assignment

Being a science writer is harder than being a sports writer because sports writers don’t have to deal with people who think that basketball doesn’t even exist.

– Carl Zimmer

The nature of science. Students will work in a pair to research and answer one of the following questions:

a) Is the Earth flat (2D) or spherical? (3D)

what arguments did people make for the Earth being flat? what evidence did they bring forth? what arguments did people make for the Earth being spherical? and what evidence did they bring forth? Evidence is just a set of facts – we can’t draw conclusions unless we make logical connections between them. Explain their reasoning (how people reached their conclusion.)

You will need to look up additional resources in our school library, the city library, or on the internet. Here are 2 sources to help you get started. Within these sources you can find other sources to cite.

http://www.popsci.com/10-ways-you-can-prove-earth-is-round

https://kaiserscience.wordpress.com/physics/gravity/prove-that-the-earth-is-a-sphere/

b) Is the Earth thousands of years old, or billions of years old?

points to address: what arguments did people make for the Earth being thousands of years old? what evidence did they present? what arguments did people make for the Earth being billions of years old? what evidence did they present? Evidence is just a set of facts – we can’t draw conclusions unless we make logical connections between them. Explain their reasoning (how people reached their conclusion.)

You will need to look up additional resources in our school library, the city library, or on the internet. Here are 2 sources to help you get started. Within these sources you can find other sources to cite.

Half life of atoms: Using radioactive decay like a clock

https://phet.colorado.edu/en/simulation/radioactive-dating-game

http://www.talkorigins.org/faqs/dating.html

earth-science-volcanoes-339345-1280x1024

c) Is the Earth the center of our solar system, or is the Sun?

points to address: what is a star? what is a planet? what arguments did people make for the Earth being the center of our solar system? what evidence did they present? what arguments did people make for the our Sun being the center of our solar system – and what evidence did they present? Evidence is just a set of facts – we can’t draw conclusions unless we make logical connections between them. Explain their reasoning (how people reached their conclusion.)

You will need to look up additional resources in our school library, the city library, or on the internet. Here are 3 sources to help you get started. Within these sources you can find other sources to cite.

https://kaiserscience.wordpress.com/earth-science/astronomy/early-views-of-the-solar-system/

https://kaiserscience.wordpress.com/earth-science/astronomy/medieval-to-modern-views-of-the-solar-system/

https://kaiserscience.wordpress.com/earth-science/astronomy/solar-system-the-modern-view/

malin-christersson-heliocentrism-vs-geocentrism

d) Are all elements stable, forever, or do some atoms change into other others?

points to address: what is an “element”? How do elements differ from each other? Where do elements originally come from? How specifically did we discover that some elements change: what evidence did they have? Evidence is just a set of facts – we can’t draw conclusions unless we make logical connections between them. Explain their reasoning (how people reached their conclusion.)

First you need to be sure that you know what atoms and elements are! (These introductory websites don’t count as sources for your paper)

http://www.chem4kids.com/files/elem_intro.html

What is an Atom -Basics for Kids

Bill Nye The Science Guy – S05E08 – Atoms

Nuclear chemistry (KaiserScience)

You will need to look up additional resources in our school library, the city library, or on the internet. Here are 2 sources to help you get started. Within these sources you can find other sources to cite.

https://kaiserscience.wordpress.com/physics/modern-physics/nuclear-physics-and-radioactivity/

Half life of atoms: Using radioactive decay like a clock

https://phet.colorado.edu/en/simulation/radioactive-dating-game

—————————————-

Writing your paper

It will be: typed, spell-checked, grammar-checked, doubled spaced, 12 point font, 1″ margins. No cover page.  The upper left of the 1st page will include the name of you and your partner, my name, your block, and a title.  The paper will be 5 pages long.

Part I – on science in general

1. Explain the difference between a claim that is, and isn’t, peer-reviewed

Peer review: 2 articles, with infographics

Scrutinizing science: Peer review

In search of quality: The scientific peer review process

2. Explain the difference between Fact, Opinion, Belief, and Prejudice

https://kaiserscience.wordpress.com/biology-the-living-environment/evolution/

 3. Science answer questions about things that are “natural” – what does this mean? Science also has limits: What are topics that science doesn’t answer a question about?

http://undsci.berkeley.edu/article/0_0_0/natural

http://undsci.berkeley.edu/article/0_0_0/whatisscience_12

Part II – on your chosen topic.

4. Obtain 5 science-based sources on your topic. Cite the sources using MLA standards.

5. Summarize what science has learned on your topic.

6. Don’t just list measurements or facts. Explain how the data leads to the conclusion. Look at the grading rubric to see what is expected. Paper will be handed in on time by 1/23/17. Worth 100 points. Lose 5 points/day for late papers, including weekends and holidays.  Grading rubric

Learning Standards

2016 Massachusetts Science and Technology/Engineering Standards

Students will be able to:

* plan and conduct an investigation, including deciding on the types, amount, and accuracy of data needed to produce reliable measurements, and consider limitations on the precision of the data
* apply scientific reasoning, theory, and/or models to link evidence to the claims and assess the extent to which the reasoning and data support the explanation or conclusion;
* respectfully provide and/or receive critiques on scientific arguments by probing reasoning and evidence and challenging ideas and conclusions, and determining what additional information is required to solve contradictions
* evaluate the validity and reliability of and/or synthesize multiple claims, methods, and/or designs that appear in scientific and technical texts or media, verifying the data when possible.
A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas (2012)
Implementation: Curriculum, Instruction, Teacher Development, and Assessment
“Through discussion and reflection, students can come to realize that scientific inquiry embodies a set of values. These values include respect for the importance of logical thinking, precision, open-mindedness, objectivity, skepticism, and a requirement for transparent research procedures and honest reporting of findings.”

Nuclear fusion

nuclear fusion

https://kaiserscience.wordpress.com/physics/modern-physics/quantum-mechanics/

https://kaiserscience.wordpress.com/physics/modern-physics/nuclear-physics-and-radioactivity/

Barns Are Painted Red Because of the Physics of Dying Stars

External links

It’s Not Cold Fusion… But It’s Something – Scientific American

Low Energy Nuclear Reactions Work And Could Supplant Fossil Fuels – Edge.Org

Can Cold Fusion Come Back From the Dead? – Popular Mechanics

The cold fusion horizon, Huw Price – Aeon.Com

Elastic and Inelastic collisions

This lesson assumes that you have already learned about momentum and the difference between kinetic energy and potential energy.

When two (or more) objects collide, what determines their subsequent behavior? What happens next? The result will depend on whether they collide in an elastic or inelastic fashion. (or, more often, in a partially elastic fashion.)

Let’s take a look at these different kinds of collisions with some short animation clips (GIFs.) We’ll figure out the basic principles.

Elastic collisions

Objects collide:

(a) without being deformed

(b) no kinetic energy (energy of motion) is lost

Example 1: Gas molecules bouncing off of each other

Example 2 Pool (pocket billiards )

pool-game-billiards

Example 3 car bouncing off of a truck

Example 4: Two cars colliding, without any (apparent) deformation or heating

elastic-collision-gif

Inelastic Collisions

Objects collide:

(a) and parts are deformed

(b) much kinetic energy (energy of motion) is lost, and turned into heat

Example 5: car hitting a truck, and they stick together

Example 6: car hitting a truck, and they stick together

completely-inelastic-collision-gif

Partially elastic collisions

Objects collide:

(a) and are slightly deformed

(b) some kinetic energy (energy of motion) is lost, and turned into heat

Example 7: Cars bounce after a collision

partially-inelastic-collision-gif

How can we tell if a collision is elastic or not?

.

How can we tell if a collision is elastic or not?

Take into account the kinetic energy (the energy of motion)

KE tr   =   KE translational

   = kinetic energy as stuff “translates”, or moves

Video GIFs from http://waiferx.blogspot.com/2011/10/physics-presentation-collisions.html

Collisions in two dimensions

Conservation of momentum in two dimensions:

2D cars colliding momentum

image from physicsclassroom

How can this kind of analysis be useful? In forensic accident reconstruction.

forensic reconstruction traffic accident 2d GIF

“Accident Reconstruction is the forensic science of determining how an accident occurred while assisting in the determination of the cause or why an accident or particular event during an accident happened using all available physical evidence.”

“This evidence can be in the form of tire marks, gouges, vehicle parts, vehicle damage, surveillance video, electronic vehicle information, occupant and pedestrian injuries, witness testimony, etc.”

“A collision reconstructionist takes all of the available evidence, like pieces in a puzzle, utilizes available tools and research, to put together the larger picture of the overall accident event.”

Excerpted from Collision research and analysis

Learning Standards

2016 Massachusetts Science and Technology/Engineering Curriculum Framework

HS-PS2-2. Use mathematical representations to show that the total momentum of a system of interacting objects is conserved when there is no net force on the system. Emphasis is on the qualitative meaning of the conservation of momentum and the quantitative understanding of the conservation of linear momentum in
interactions involving elastic and inelastic collisions between two objects in one dimension.

HS-PS2-3. Apply scientific principles of motion and momentum to design, evaluate, and refine a device that minimizes the force on a macroscopic object during a collision. Clarification Statement: Both qualitative evaluations and algebraic manipulations may be used.

Common Core Math

CCSS.MATH.CONTENT.7.EE.B.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

CCSS.MATH.CONTENT.8.EE.C.7 Solve linear equations in one variable

CCSS.MATH.CONTENT.HSA.SSE.B.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (including isolating a variable)

CCSS.MATH.CONTENT.HSA.CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

Declining Student Resilience

It has been widely reported that middle and high-school age students are suffering from much more depression, anxiety, dysphoria, and dysmorphia. Why is this?

Some social media posts suggest that this is related to the school closures due to the Covid-19 pandemic, and temporary social isolation that resulted. But numerous studies have shown that these massively increasing psychological problems among youth began a decade before this. Covid-19 only made these already existing issues more visible.

Studies show that declining student mental health and resilience is linked with the rise in use of social media, and the corrosive way that people use it and are affected by it.

Students who spend more time on social media, instead of interacting in the real world with peers, report more anxiety, depression, body dysmorphia, gender dysphoria, and symptoms related to anorexia.

Students who spend more time with friends and family, and community groups in the real world, report much less of this. Let’s be honest and ask two questions:

How many hours a week do typical students spend on cell phones and social media?

Pay attention closely – many kids underestimate the number of hours.

How many hours a week do typical students engage in healthy fun such as 

playing outdoors at recess; playing outdoors after school and on weekends

Participating in the Boy scouts, Girl scouts, 4 H club, etc.

Helping neighbors at the senior center; spending time with their grandparents

Playing a musical instrument; being in a band or chorus

spending time with friends at church or synagogue youth groups

hanging out with friends at the beach, parks, or mall. Roller skating. Anything fun in a group.

I have many years of experience as a teacher; I’ve spent a lot of time listening to students about such things. Growing up, my friends and I spent well over 20 hours a week, collectively, on these things. To my dismay, in recent years most of my students report spending almost no time doing this. Rather, it’s mostly homework, social media, or social media-via-video gaming online.

As the articles below clearly show, human beings evolved outdoors as social beings. Nothing in our evolution prepared us for sitting still seven hours a day in school without recess, or sitting still for hours each day listening to toxic messages on social media.

This realization is not old people being grumpy, not keeping up with the times. The socially indoctrinated behaviors of today’s young people are demonstrably psychologically unhealthy.

I urge teachers, school counselors, and parents to read these articles –

Declining Student Resilience: A Serious Problem for Colleges

By Peter Gray, Psychology Researcher at Boston College, September 22, 2015

A year ago I received an invitation from the head of Counseling Services at a major university to join faculty and administrators for discussions about how to deal with the decline in resilience among students.

At the first meeting, we learned that emergency calls to Counseling had more than doubled over the past five years. Students are increasingly seeking help for, and apparently having emotional crises over, problems of everyday life.

Recent examples mentioned included a student who felt traumatized because her roommate had called her a [bad name] and two students who had sought counseling because they had seen a mouse in their off-campus apartment. The latter two also called the police, who kindly arrived and set a mousetrap for them.

Faculty at the meetings noted that students’ emotional fragility has become a serious problem when it comes to grading. Some said they had grown afraid to give low grades for poor performance, because of the subsequent emotional crises they would have to deal with in their offices. Many students, they said, now view a C, or sometimes even a B, as failure, and they interpret such “failure” as the end of the world.

Faculty also noted an increased tendency for students to blame them (the faculty) for low grades—they weren’t explicit enough in telling the students just what the test would cover or just what would distinguish a good paper from a bad one. They described an increased tendency to see a poor grade as reason to complain rather than as reason to study more, or more effectively.

Much of the discussions had to do with the amount of handholding faculty should do versus the degree to which the response should be something like, “Buck up, this is college.” Does the first response simply play into and perpetuate students’ neediness and unwillingness to take responsibility? Does the second response create the possibility of serious emotional breakdown, or, who knows, maybe even suicide?

Two weeks ago, that head of Counseling sent us all a follow-up email, announcing a new set of meetings. His email included this sobering paragraph:

“I have done a considerable amount of reading and research in recent months on the topic of resilience in college students. Our students are no different from what is being reported across the country on the state of late adolescence/early adulthood. There has been an increase in diagnosable mental health problems, but there has also been a decrease in the ability of many young people to manage the everyday bumps in the road of life. Whether we want it or not, these students are bringing their struggles to their teachers and others on campus who deal with students on a day-today basis. The lack of resilience is interfering with the academic mission of the University and is thwarting the emotional and personal development of students.”

The full article is available here Psychology Today: Declining student resilience, by Peter Gray

Decline of Play and the Rise of Psychopathology in Children and Adolescents

Over the past half century, in the United States and other developed nations, children’s free play with other children has declined sharply. Over the same period, anxiety, depression, suicide, feelings of helplessness, and narcissism have increased sharply in children, adolescents, and young adults. This article documents these historical changes and contends that the decline in play has contributed to the rise in the psychopathology of young people.

Play functions as the major means by which children (1) develop intrinsic interests and competencies; (2) learn how to make decisions, solve problems, exert self-control, and follow rules; (3) learn to regulate their emotions; (4) make friends and learn to get along with others as equals; and (5) experience joy. Through all of these effects, play promotes mental health. Key words: anxiety; decline of play; depression; feelings of helplessness;
free play; narcissism; psychopathology in children; suicide

The Decline of Play and the Rise of Psychopathology in Children and Adolescents

Helicopter Parenting & College Students’ Increased Neediness

In my last post, I summarized reports from directors of college counseling services concerning college students’ rising levels of depression and anxiety; declining abilities to cope effectively with problems of everyday life; and increasing feelings of entitlement … A common theory is that these changes may be at least partly attributable to a rise in “helicopter parenting”

… The theory makes sense, logically, but is there any empirical evidence? A first step in testing the theory is to look for correlations between the style of parenting and students’ emotional and behavioral well-being. Are students whose parents are highly controlling and intrusive more likely than others to manifest the kinds of problems reported by college counselors? A number of studies have examined this question, and the results of all that I have found indicate that the answer is yes.

Helicopter Parenting & College Students’ Increased Neediness
Researchers link helicopter parenting to emotional fragility in young adults.
Peter Gray, Psychology Today, Oct 23, 2015

The Many Shades of Fear-Based Parenting

I have long been advocating, on this blog and elsewhere, for what I refer to as trustful parenting. Trustful parents allow their children as much freedom as reasonably possible to make their own decisions. They trust their children’s instincts, judgments, and ability to learn from mistakes….

The enemy of trustful parenting is fear, and, unfortunately, fear runs rampant in our society today. It runs rampant not because the world is truly more dangerous than it was in the past, but because we as a society have generated dangerous myths about dangers. We are afraid that strangers will snatch our children away if we don’t guard them constantly and that our children will be homeless, or in some other way life failures, if they don’t get all As in school, do all the proper extracurricular activities, and get into a top-ranked college…

Fear-based parenting comes in various shades, depending partly on the types of fears most prominent in the parents’ minds and partly on the parents’ personalities and economic means. Here is a list.

The Many Shades of Fear-Based Parenting, Peter Gray, Psychology Today, Mar 25, 2019

Doing More Time in School

Those who want more forced schooling ignore students’ opinions.
by Peter Gray

Kids aren’t learning much in school, so let’s make them start school when they are younger; let’s make them stay more hours in school each day and more days each year; and let’s not allow them to leave until they are at least 18 years old. Let’s do all this especially to the poor kids; they are getting the least out of school now, so let’s lengthen their time in school even more than we lengthen the time for others!…

Doing More Time in School

School districts now go so far as to ban ‘tag’

Schools are contributing to mental health problems in children by banning normal, healthy forms of play and social interaction. Many now claim that even tag is too emotionally and physically dangerous to kids.

http://www.freerangekids.com/school-district-bans-tag-for-students-physical-and-emotional-safety/

Children are literally not free to play outside

From the article

As if parents don’t have enough to worry about in the midst of a pandemic, last week, I got a terribly upsetting email from a dad who wrote to say that Child Protective Services, or CPS, had come to investigate him. Not because his kids weren’t social distancing. Not because of any beatings or starvation or deliberate exposure to dangerous germs.

He was being investigated for allowing his kids, ages 6 and 3, to play on their own front lawn.

The email came to me from a dad in Texas. He wrote, “While letting my kids play in my front yard, I got CPS called on me. I wasn’t out there with them but I was going out every 5 to 10 minutes and watching through the window between checks.”  When the caseworker arrived, his son made some popcorn, and the caseworker commented on how self-reliant he was. But self-reliant or not, the caseworker added, Dad had to be by his kids’ side at all times.

That is simply not true.

“Misstatements of law like this happen all around the country,” says longtime Chicago-based child welfare lawyer Diane Redleaf. “Neglect laws are intended to protect children from serious harm. That’s why it is more important than ever to get child protection policy right.”

The idea that kids can’t play on their own lawn, lightly supervised, is nonsensical in the best of times. When there’s a pandemic and kids are cooped up 24/7 for weeks at a time, it is even more important that we all understand: Kids need some play time. Parents need some work time. Even if helicopter parenting was the crazy norm before, it’s impossible now.

From Kids Deserve Playtime Without Their Parents Getting Arrested, Lenore Skenazy, The Sun (newspaper) 4/27/2020

Scientific studies of cell phone usage and mental health

Excessive Smartphone Use Is Associated With Health Problems in Adolescents and Young Adults
Yehuda Wacks and Aviv M. Weinstein*

They report that excessive cell phone usage leads to depression, anxiety, OCD, ADHD, alcohol abuse, cognitive-emotion regulation, impulsivity, impaired cognitive function, addiction to social networking, shyness and low self-esteem, sleep problems, reduced physical fitness, unhealthy eating habits, pain and migraines, reduced cognitive control and changes in the brain’s gray matter volume.

Cell phones, Teens and Mental Health

Two recent studies shed light on the negative psychological consequences of social media use.

There is no doubt that smartphone use has become pervasive in our society. In a 2018 Pew Research Center poll, 95 per cent of teens reported having access to a smart phone. Some 45 per cent of teens reported using the internet “almost constantly” (a number that has doubled compared to the 2014-2015 survey), while another 44 per cent said they go online multiple times per day.

The negative potential for social media was highlighted in two recent studies. In the first, researchers found that in a cohort of 6,595 U.S. adolescents, those who used social media more than three hours per day were at increased risk for developing mental health problems. The risk was principally seen for internalizing problems such feeling lonely, sad, depressed or anxious rather than for externalizing problems like acting out or behaviour difficulties.

The second study was an analysis of more than 12,000 teenagers in England. English teenagers were even more active on social media than their American counterparts. Two in three teens ages 15 to 16 used social media multiple times per day.

The researchers also found that teens who used social media multiple times per day were more likely to report psychological distress, less life satisfaction, less happiness and more anxiety than those who used it only weekly or less often. An interesting aspect of the study was that the negative effects of social media were more prominent in girls than boys. While both boys and girls showed an increase in psychological distress, the magnitude of the increase was higher in girls (18 per cent) than in boys (5 per cent).

Cell phones and mental health of students

Kinematics in music videos

Kinematics is the study of objects in motion. One uses math to analyze distance, displacement, speed, velocity, and acceleration. It even finds a use in music videos

“The One Moment” is from OK Go’s 2014 full-length, Hungry Ghosts

New video on NPR.org

http://okgo.net/2016/11/23/background-notes-and-full-credits-for-the-one-moment-video/

https://www.youtube.com/user/OkGo/videos

Background notes and full credits for “The One Moment” Video by OK Go.
Damian Kulash, Jr. (director and singer)

The song “The One Moment” is a celebration of (and a prayer for) those moments in life when we are most alive. Humans are not equipped to understand our own temporariness; It will never stop being deeply beautiful, deeply confusing, and deeply sad that our lives and our world are so fleeting. We have only these few moments. Luckily, among them there are a few that really matter, and it’s our job to find them. (We had no idea when we wrote the song that we’d be releasing its video in such critical moment for our nation and the world. It’s one of those moments when everything changes, whether we like it or not, so the song feels particularly relevant)

For the video, we tried to represent this idea literally — we shot it in a single moment. We constructed a moment of total chaos and confusion, and then unraveled that moment, discovering the beauty, wonder, and structure within.

Most of our videos have sought to deliver wonder and surprise, and this one is no exception. But usually our tone has been more buoyant, more exuberant. For this song — our most heartfelt and sincere — we wanted the sense of wonder to be more intimate and contemplative…

How did you do that?

We used very precise digital triggers to set off several hundred events in extremely quick succession.

The triggers were synchronized to high speed robotic arms which whipped the cameras along the path of the action.

Though the routine was planned as a single event, currently no camera control systems exist which could move fast enough (or for many sections, change direction fast enough) to capture a movement this long and complex with a single camera, so the video you see connects seven camera movements.

How long did the routine take in real time?

The first three quarters of the video, from the beginning of the song until I pick up the umbrella at the a cappella breakdown, unfold over 4.2 seconds of real time. Then I lip sync in real time for about 16 seconds (we thought it was important to have a moment of human contact at this point in the song, so we returned to the realm of human experience) and we return to slow motion for the final chorus paint scene, which took a little longer than 3 seconds in real time.

How many things happen in it?

It sort of depends how you count “things,” but the there are 318 events (54 colored salt bursts behind Tim, 23 exploding paint buckets, 128 gold water balloons, etc.) that were synchronized to the music before the breakdown. After that there are only 9 digitally triggered events.

Just how slow is this, and is it all one speed?

It is not all one speed, but each section is at a constant rate, meaning that time does not “ramp” (accelerate or decelerate). We just toggle from one speed to another. When the guitars explode, we are 200x slower than reality (6,000 frames per second), but Tim and Andy’s short bursts of lip sync (Tim twice and Andy once) are only 3x slower than real life (90 frames per second). The watermelons are around 150x, and the spray paint cans are a little over 60x.

How did you plan all this?

The whole point of the video is to explore a time scale that we can’t normally experience, but because it’s so inaccessible to us, our tools for dealing with it are indirect. The only way we can really communicate with that realm is through math. The choreography for this video was a big web of numbers — I made a motherfucker of a spreadsheet. It had dozens of connected worksheets feeding off of a master sheet 25 columns wide and nearly 400 rows long. It calculated the exact timing of each event from a variety of data that related the events to one another and to the time scale in which they were being shot. Here’s a screen shot of just the first few lines, to give you a sense.

the-one-moment-video-by-ok-go-spreadsheet

____________________

Example of a high speed robotic camera arm

http://www.8k-47.com/technologies/bolt-highspeed-cinebot/

http://www.roboticgizmos.com/spike-robotic-motion-control-camera-system/

http://www.mrmoco.com/thebolt/

https://www.youtube.com/watch?v=HRvnYmxcMOY

 

 

 

 

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