Patterns Around Us Welcome !!!!! Do you see a pattern? Introductions –Where are you from? –What do you teach? –Favorite Hobby? –Favorite science class? Why? Workshop Agenda

UMASS RESEARCH CONNECTIONS

K-12 Perspective

The Nature of Science Science may be described as the attempt to give good accounts of the patterns in nature. The result of scientific investigation is an understanding of natural processes.... Overall, the key criterion of science is that it provides a clear, rational, and succinct account of a pattern in nature.... Massachusetts Department of Education Curriculum Frameworks Statement

NGSS

Patterns Around Us-Is there commonality in seemingly disparate events? Hurricanes and Fibonacci

Branching-- Snowflakes

Branching pattern on Earth– suggests water Branching pattern on Mars….

Branching – in systems Efficient distribution and collection of materials and energy, roads, roots and trees, cells, circulatory system, nervous system.

NSTA Workshop Focus: RAPT and Wrinkles! NSTA participants will: Learn and use a method for teaching students about patterns in math and science (RAPT) Learn the interdisciplinary nature of wrinkling patterns Learn how this workshop aligns with state and national standards

RAPT- a method for teaching patterns 1.R – Recognize a pattern exists. Be observant and curious. Why does the pattern exist? 2.A —Ask and Analyze. What information and tools can be used to understand the pattern? What physical principles are causing the pattern? 3.P – predict the cause and next occurrence of the pattern 4.T - test the prediction

R ecognize a pattern exists Nanotechology Wrinkles

A sk WHY there is a pattern. Why do some puppies and peas have wrinkles?

A nalyze by classification. Three Categories Spontaneous Engineered-based on a plan Hybrid (Nanotech) Radiolarians and Diatoms Condensation on a mirror Nano-texturedmetallic surface

A nalyze using knowledge. Prior Knowledge What do I already know and how can I apply it to help explain the pattern I see? Acquiring Knowledge Research Perform experiments

A nalyze using physical principles that cause the pattern Forces What balanced forces create the wrinkling pattern? Energy Does the wrinkling show stored (potential) or the energy of motion (kinetic) and stored energy. Waves vs Wrinkled shirt What are the properties of the material(s) that create wrinkling? an understanding of patterns helps us deduce properties of materials and vice versa Materials

Predict --The pattern will occur again given certain conditions Two round-seeded parent pea plants will produce offspring with round seeds. x

T est– hmmm…WHAT??????

Much Ado About Spontaneous Wrinkling– funding! Spontaneous wrinkling---application in nano- materials research… Nano-materials – micro-electronics and memory applications Sheet of paper– 100,000 nm thick Nano-films – nm thick Wrinkling patterns used to deduce thickness of nanofilms

Spontaneous Skin Wrinkling Inquiry Model for deducing properties of materials from observations of wrinkling patterns Frameworks: MA Frameworks Biology Identify the general functions of the major systems of the human body (digestion, respiration, reproduction, circulation, excretion, protection from disease, and movement, control, and coordination) and describe ways that these systems interact with each other. MA Frameworks Biology High School NGSS SIS1. Make observations, raise questions, and formulate hypotheses. SIS2. Design and conduct scientific investigations. SIS3. Analyze and interpret results of scientific investigations. SIS4. Communicate and apply the results of scientific investigations.

Epidermis - thin with keratin protein for stiffness Dermis– collagen and elastin proteins offer support and elasticity Subcutis– fatty layer SKIN

R ecognize a pattern Procedure: 1.Put index finger and thumb 3 cm apart in the middle of the top of your forearm. Apply lateral force to reduce to 2 cm and wrinkle skin. Count wrinkles (peaks). 2.IV: skin on different parts of the body 3.DV: number of peaks (wrinkles) 4.Constant: applied opposing forces

A sk and Analyze Are wrinkling patterns different on different areas of the body? What do we know about skin itself and its form and function to help us make deductions about the variation in skin on different parts of the body? (fatty layer, elastin, collagen, keratin, etc)

P redict Lateral vs longitudinal forces? Gender similarities/differences? Age similarities/differences? UV exposure differences?

T est IV: Gender – constants: age, area, force IV: Age – constants: gender, area, force IV: UV exposure – constants: person, basic area, force IV: Latitudinal vs longitudinal – constants: person, area, force

Top of forearm (lateral) top of forearm (longitudinal) Under forearm Top of upper arm top of hand

Spontaneous Wrinkling of Silicone Sheets * Another model for deducing properties of materials from observations of wrinkling patterns * Silicone sheets of varying thicknesses are floating on a corn syrup substrate. Applied force is constant.

Which silicone sheet Is the thinnest?

Why Does this matter??? Wrinkling patterns can be quantified. Data can be used to make deductions. Using these data, were your deductions correct based on your observations ?

RAPT and Spontaneous Wrinkling R – Recognize – Wow, I see a pattern of wrinkling in different conditions and materials. Ex. skin, silicone and nano-films!!! A – Ask and Analyze – What information do I have? – Similar wrinkling patterns occur when there is a adhering substrate and a film associated with it. P – Predict – different thickness of skin, silicone and nano-films T – Test – Skin activity, silicone activity, and research on nano-films R.A.P.T.

NSTA Workshop Much Ado About Wrinkles What can we learn about wrinkling patterns in seemingly disparate events?

A wrinkling pattern emerges as the balance of opposing forces and the interaction of those forces with associated materials

Engineered wrinkling (inherited trait)

Spontaneous Wrinkling—balance of forces

Hybrid Wrinkling– nanotechnology— spontaneous wrinkling with parameters

Wrinkled Peas Inquiry Teaching Inquiry: Scaffolding Pre-Inquiry Labs that present background information and tools in order to perform an Inquiry Task. This lab will investigate why some peas are wrinkled when dry and others are not.

Connection To NGSS HS-LS3-3.Apply concepts of statistics and probability to explain the variation and distribution of expressed traits in a population. HS-LS1-6.Construct and revise an explanation based on evidence for how carbon, hydrogen, and oxygen from sugar molecules may combine with other elements to form amino acids and/or other large carbon-based molecules. HS-LS1-2.Develop and use a model to illustrate the hierarchical organization of interacting systems that provide specific functions within multicellular organisms.

Gregor Mendel and Wrinkled Peas Background Information

Human saliva and enzymes Lab 1

Osmosis and Dialysis Tubing Osmosis eggs Lab 2

Analyzing dry and imbibed weights of wrinkled and smooth pea seeds Lab 3

Putting it All Together, What makes Wrinkled Peas? Which Peas are wrinkled? Inquiry Lab 4

Picture of peas in benedicts What pattern classification would you use for wrinkled peas? A.Spontaneous B.Hybrid C.Engineered Wrinkled peas are wrinkled because the do not have the enzyme which converts sugars to starch. When the wrinkled peas are growing, they contain more water due to the osmotic pressure produced by the sugars within the pea. When they dry, the outer shell of the pea has an imbalance of forces on either side of the shell and wrinkles.

Patterns Around Us - Summary  Scientists are using principles of patterns in many different ways, especially with new technologies.  Principles of patterns can help to explain scientific phenomena.  Analyzing patterns is a great way teachers can integrate many different concepts in order make sense of a pattern.  Spontaneous pattern formation is cool and engaging!  Go RAPT your pattern!

Final Thought Patterns allow scientist the opportunity to view and study mathematical principles of the universe. If one knows the basic mathematical principles of the universe, one can explain why a pattern occurs.