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InterChange Newsletter From the Regional Math & Science Center at Grand Valley State University November 2016 | Volume 23, Number 7 FALL SCIENCE UPDATE CONFERENCE NOVEMBER 16 - REGISTER TODAY! Join us for the 32nd annual Fall Science Update hosted by the Regional Math and Science Center at Grand Valley State University. The conference will be held on Wednesday, November 16, 2016 on the GVSU Allendale campus. Join us to learn how to make the implementation of the new Michigan K–12 Science Standards a reality in your classroom. New this year — a conference strand for school administrators. Take time to connect with colleagues and discover how to engage students in Science, Technology, Engineering, and Mathematics (STEM) learning. Full Story Tracy Horodyski, Michigan Department of Education Teacher of the Year and Fall Science Update Elementary Keynote speaker CONNECTIONS FOR THE STEM CLASSROOM GVSU faculty and area experts provide engaging ideas on current topics in research and education Finding a Lake’s Productivity Peak and Nap Time by Bopi Biddanda and Anthony Weinke, Annis Water Resources Institute Full Story CALENDAR OF EVENTS Calendar PARTICIPATE IN THE 2016 HOUR OF CODE! Over the last three years the Hour of Code has reached more than 100 million students in over 180 countries. Last year, you helped make this the largest learning event in history, with record participation from girls and underrepresented minorities. Full Story MISTEMTALK2017 3-Dimensional Science Learning and the new Michigan Science Standards challenge us all! Join us to hear about the CHALLENGES and SOLUTIONS of other science teachers. Acquire ideas from these short, engaging presentations (TED-style) from Michigan and national science teachers, K-12 through higher education. Full Story MICHIGAN SCIENCE OLYMPIAD REGION 12 UPDATE Read about coaches meetings, grants, registration and more! Full Story NGSX TRAINING OFFERED IN KENT COUNTY

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Page 1: InterChange Newsletter - Grand Valley State University · InterChange Newsletter From the Regional Math & Science Center at Grand Valley State University November 2016 | Volume 23,

InterChange Newsletter

From the Regional Math & Science Center at Grand Valley State University

November 2016 | Volume 23, Number 7

FALL SCIENCE UPDATE CONFERENCE NOVEMBER 16 - REGISTER TODAY!

Join us for the 32nd annual Fall Science Update hosted by the Regional Math and Science Center

at Grand Valley State University.  The conference will be held on Wednesday, November 16, 2016

on the GVSU Allendale campus.

Join us to learn how to make the implementation of the new Michigan K–12 Science Standards a

reality in your classroom. New this year — a conference strand for school administrators. Take

time to connect with colleagues and discover how to engage students in Science, Technology,

Engineering, and Mathematics (STEM) learning.

Full StoryTracy Horodyski, Michigan Department of

Education Teacher of the Year and Fall

Science Update Elementary Keynote speaker

CONNECTIONS FOR THE STEM CLASSROOM

GVSU faculty and area experts provide engaging ideas on current topics in research and education

Finding a Lake’s Productivity Peak and Nap Time

by Bopi Biddanda and Anthony Weinke, Annis Water Resources Institute

Full Story

CALENDAR OF EVENTS

Calendar

PARTICIPATE IN THE 2016 HOUR OF CODE!

Over the last three years the Hour of Code has reached more than 100 million students in over 180 countries. Last year, you helped make this the

largest learning event in history, with record participation from girls and underrepresented minorities.

Full Story

MISTEMTALK2017

3-Dimensional Science Learning and the new Michigan Science Standards challenge us all! Join us to hear about the CHALLENGES and SOLUTIONS of

other science teachers. Acquire ideas from these short, engaging presentations (TED-style) from Michigan and national science teachers, K-12

through higher education.

Full Story

MICHIGAN SCIENCE OLYMPIAD REGION 12 UPDATE

Read about coaches meetings, grants, registration and more!

Full Story

NGSX TRAINING OFFERED IN KENT COUNTY

Page 2: InterChange Newsletter - Grand Valley State University · InterChange Newsletter From the Regional Math & Science Center at Grand Valley State University November 2016 | Volume 23,

If you are a science teacher looking to understand the vision and pedagogy behind the new Michigan Science Standards, consider NGSX, a national

exemplar professional development using high leverage tools that alter how your science instruction looks in the classroom.

Full Story

A CELEBRATION OF SPACE EXPLORATION IN HONOR OF ROGER B. CHAFFEE - FEBRUARY 2017

Roger B. Chaffee is one of Grand Rapids' favorite sons. An engineer, pilot and astronaut, Chaffee lost his life during a tragic fire during a routine test of

the Apollo 1 spacecraft on January 27, 1967.  In recognition of the 50th anniversary of the Apollo 1 accident, Grand Valley State University, the Grand

Rapids Public Museum and the Roger B. Chaffee Scholarship Fund seek to honor Chaffee during a two-day celebration of space exploration.

Full Story

GVSU AND THE GRAND RAPIDS PUBLIC MUSEUM ANNOUNCE THE ROGER THAT! DESIGN CHALLENGE

We invite interested 6th-12th grade students in the greater Grand Rapids area to participate in the Roger That! Design Challenge. Separate awards

will be presented for 6th - 8th grade and 9th - 12th grade based on juried competition and popular vote.

Full Story

WORKSHOP FOR ELEMENTARY TEACHERS - WORD PROBLEMS, CHILDRENS STRATEGIES, ANDUNDERSTANDING ADDITION AND SUBTRACTION

Attend a workshop for elementary school teachers (especially grades K-2), math coaches, & administrators.

Full Story

WGVU SHARES EDUCATION PROGRAMS!

Check out free educational materials and contests for your students and teachers!

Full Story

EXPLORE SCIENCE AT GRCC'S COMMUNITY SCIENCE DAY

Come enjoy free, interactive, science and health-related activities for all ages on Saturday, Nov. 19 on GRCC’s main campus.

Full Story

NCTM PROBLEM OF THE MONTH

Classroom teachers are encouraged to pose these monthly math problems to their students and submit creative solutions to the National Council of

Teachers of Mathematics magazine.

Full Story

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Fall Science Update Conference November 16 - RegisterToday!

Join us for the 32nd annual Fall Science Update hosted by the Regional Math and Science Center

at Grand Valley State University (GVSU).  The conference will be held on Wednesday, November

16, 2016 on the GVSU Allendale campus.

Our theme for the event is "Implementing STEM by Design”.  Join us to learn how to make the

implementation of the new Michigan K–12 Science Standards a reality in your classroom. Take

time to connect with colleagues and discover how to engage students in Science, Technology,

Engineering, and Mathematics (STEM) learning.

New this year — a conference strand for school administrators.  The keynote speaker for

administrators will be James Emmerling, director of the Genesee Area Math/Science Center

The Secondary Keynote speaker will be Kevin Sylvester, Grand Haven Lakeshore Middle School

science teacher, and the Elementary Keynote will be Tracy Horodyski, Instructional Coach for

Kenowa Hills Public Schools.  Tracy is the Michigan Department of Education Teacher of the Year

2017.

CONFERENCE OVERVIEW

Russel H. Kirkhof Center, GVSU Allendale

Campus

8:00 a.m. - 3:00 p.m.

Multiple hour-long breakout sessions

Lunch included

Cost: $45 per person, $20 for pre-service

teachers, $10 for pre-service teachers

without lunch

Find the brochure and registration on our website.  Deadline for registration is November 9.

KEYNOTE SPEAKERS

James Emmerling, director of the Genesee

Area Math/Science Center

Kevin Sylvester, Grand Haven Lakeshore

Middle School

Tracy Horodyski, Instructional Coach for

Kenowa Hills Public Schools

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InterChange Newsletter

Connections for the STEM ClassroomHome

GVSU faculty and area experts provide engaging ideas on current topics in research and education

Finding a Lake's Productivity Peak and Nap TimeBY BOPI BIDDANDA AND ANTHONY WEINKE, ANNIS WATER RESOURCES INSTITUTE

Lakes contribute disproportionately to global cycling of elements, more than their relatively small surface area would otherwise suggest.  Natural and

anthropogenic sources of runoff from the watershed create a strong terrestrial contribution to aquatic productivity.  Tiny but abundant plankton link

the water and airsheds to the food webs in the the receiving lake through their growth and respiration – collectively called metabolism.  Because of

their intimate connection to the land, freshwater lakes are particularly active sites for the cycling of organic carbon and inorganic nutrient inputs –

and serve as sensitive sentinels of change in their collective water and airsheds.

The 10,000 miles of Great Lakes’ shoreline are intersected by almost 3,000 tributaries. One of these intersections is Muskegon Lake.  It is fed by the

Muskegon River, the second longest river in Michigan and drains an area of ~ 6,000 km2 (Figure 1) into Lake Michigan.   As the receiving basin for a

large watershed, Muskegon Lake is a concentration point for vast amounts of terrestrial organic carbon and inorganic nutrients delivered by the

Muskegon River.  Thus, variable river discharge can potentially fuel highly variable rates of productivity and respiration by in-lake phytoplankton and

bacteria, respectively.

Figure 1.  Map of Muskegon Lake study area and sample locations: Muskegon River, Muskegon

Channel and Muskegon Deep, with Lake Michigan in the foreground.  Inset: Laurentian Great

Lakes basin, with boxed area highlighting location of Muskegon Lake located at the terminus of

Muskegon River watershed (gray shaded area in the state of Michigan).

Page 6: InterChange Newsletter - Grand Valley State University · InterChange Newsletter From the Regional Math & Science Center at Grand Valley State University November 2016 | Volume 23,

Figure 2a.  Graduate Student, Angela Defore sampling Muskegon Lake water and incubating lake

water-filled bottles underwater through an ice hole during the winter. Winter is the most

understudied portion of the annual cycle in temperate latitude lakes. 

Figure 2b. Site averaged Chlorophyll a (an index of phytoplankton biomass) in the surface waters

of Muskegon Lake from February 4, 2009 – February 11, 2010.  Error bars represent 1 standard

error.

We examined monthly changes in biological inventories and community metabolism in Muskegon Lake – including during the ice-covered winter

season and found that there was a positive buildup of phytoplankton biomass during spring through fall (Figure 2). 

Similarly, rate measurements indicated that net production dominates (Production > Respiration) during the spring, summer, and fall seasons, whereas

net respiration is only slightly dominant during the winter months (Figure 3).  This results in net annual autotrophy (i.e., surplus production) in the

ecosystem as evidenced by the accumulation of phytoplankton biomass.  It additionally suggests, that the surface waters of Muskegon Lake may be a

“carbon sink”, which buries carbon in its sediments, or exports it to Lake Michigan supporting nearshore metabolism.

Page 7: InterChange Newsletter - Grand Valley State University · InterChange Newsletter From the Regional Math & Science Center at Grand Valley State University November 2016 | Volume 23,

Figure 3.  A.  Conceptual diagram of trends in

the seasonal metabolism (Gross Primary

Production, GPP and Respiration, R; A) and

represented as the ratio of GPP:R (B).  The

1:1 line indicates the zone of carbon balance

above which net production (autotrophy)

prevails and below which net respiration

(heterotrophy) prevails. 

These findings also shed light on a seriously understudied component of the annual cycle of lakes:

the key role of winter months in nutrient regeneration that subsequently fuel spring production. 

Future studies should reassess the critical role of winter months as an annual  “reset button” for

the lake ecosystem as whole.  The in-lake regeneration of nutrients during winter, spring-time

nutrient loading from the Muskegon River watershed, increased summer-time sunlight

availability, and favorable residence time (2-4 weeks) enable optimal retention of resources and

completion of plankton and fish life cycles within Muskegon Lake (Figure 4).  All these factors

converge to make this Great Lakes estuary a zone of net annual primary productivity in the

watershed, supporting one of the most productive fisheries in the state.  Similar phenomena may

be at play in inland waters and coastal estuaries everywhere where food web productivity is tied

to peaks of primary production.  Therefore, understanding the delicate dance between autotrophy

(Production > Respiration) and heterotrophy (Respiration > Production) in lake and estuarine

ecosystems that are sentinels of change in their air and watersheds will be key to their wise

management in an uncertain future.

For further details, please see (below) the peer-reviewed journal article that is openly accessible.

This research effort was supported by a NASA Michigan Space Grant Consortium Seed Grant and

an EPA Great Lakes Restoration Initiative Grant to BB, and a MSGC Graduate Fellowship and a

GVSU Presidential Research Grant to Angela Defore. 

Reference:

Defore, A. L., A. D. Weinke, M. M. Lindback, and B. A. Biddanda (2016).  Year-round measures of

planktonic metabolism reveal net autotrophy in surface waters of a Great Lakes estuary.  Aquatic

Microbial Ecology 77: 139-153. http://www.int-res.com/articles/ame_oa/a077p139.pdf

Figure 4. Schematic illustration highlighting the seasonal succession of life in temperate lakes.  Life awakens from the winter’s nap into spring growth,

followed by summer-fall’s peak biomass, ending in the cold and slow holiday season towards the year end.  Winter months serve as a system reset

wherein inorganic plant nutrients are regenerated from net respiration of organic matter.  Spring through fall, these plant nutrients are consumed –

resulting in net production of biomass containing organic carbon  that sustains a diverse and productive food web.

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InterChange Newsletter

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Participate in the 2016 Hour of Code!Over the last three years the Hour of Code has reached more than 100 million students in over

180 countries. Last year, you helped make this the largest learning event in history, with record

participation from girls and underrepresented minorities.

This year, help us reach every student with the opportunity to learn.

Sign up your classroom today and get ready to do an Hour of Code with your class! (The official

week of Hour of Code is December 5-11 but anyone can learn coding at any time on the website).

Teachers who join the movement early will also get a free kit with inspirational posters

featuring young tech entrepreneurs for their classrooms!

Watch the Video

Computers are changing every industry on the planet, and coding has become relevant to a wide range of high-paying jobs—even those outside the

technology and engineering fields. For millions of students, the Hour of Code will be an inspiring introduction to this crucial 21st century skill.

Want a technology professional to volunteer in your classroom?

Check out our volunteer database and schedule a classroom visit! We’re excited to be working with both independent professionals and volunteers

from huge tech brands to make the Hour of Code even more special!

Certificates for your students

To finish your Hour of Code in style, print certificates for your students at http://code.org/certificates.

For more information, visit www.hourofcode.com/us

“The 'Hour of Code™' is a nationwide initiative by Computer Science Education Week and Code.org to introduce millions of students to one hour of

computer science and computer programming.”

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Michigan Science Olympiad Region 12 UpdateCOACHES WORKSHOPS

Interested in learning more about Science Olympiad events? Register for an event for coaches to learn more!

State Clinic:

Michigan Science Olympiad offers a Coaches Clinic on Saturday, December 3, 2016 at Michigan State University.  For registration information, click

here.

Region 12 Meeting:

Region 12 Coaches Meeting will be held on Wednesday, December 7 at Grand Valley State University’s Allendale Campus.  Register Here

MDE GRANTS

Grants are available from the Michigan Department of Education.  If your science Olympiad team is interested in applying for a grant you can find

more information here.  Grant applications are due November 15 at 5 pm.

TOURNAMENT REGISTRATION

State:

To register a team to compete in the state of Michigan, register online at http://miscioly.org/shop/  Schools must register and pay their teams by

January 12, 2017.

Region 12 Tournament:

For Michigan Region 12 (Kent and Ottawa counties) information (including on how to start a team), visit the website.

Additional Information: 

For more information on the Science Olympiad program, visit: History, Standards, or the National Site.

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NGSX Training Offered in Kent CountyIf you are a science teacher looking to understand the vision and pedagogy behind the new Michigan Science Standards, consider NGSX, a national

exemplar professional development using high leverage tools that alter how your science instruction looks in the classroom. Join us at the Kent ISD.

Click the link HERE to register.

Questions? Contact Wendi Vogel at [email protected]

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A CELEBRATION OF SPACE EXPLORATION INHONOR OF ROGER B. CHAFFEEFEBRUARY 10-11, 2017

Roger B. Chaffee was born in 1935 in Grand Rapids, Michigan and became one of the city’s

favorite sons. An engineer, pilot and astronaut, Chaffee lost his life during a tragic fire during what

seemed to be a routine test of the Apollo 1 spacecraft on January 27, 1967.

In recognition of the 50th anniversary of the Apollo 1 accident, Grand Valley State University, the

Grand Rapids Public Museum and the Roger B. Chaffee Scholarship Fund seek to honor Chaffee

during a two-day celebration of space exploration.

“Roger That!” is a series of concurrent events to be held in downtown Grand Rapids on Friday

February 10 and Saturday February 11, 2017.

Field trips involving area schools will also be scheduled, allowing local students the opportunity to learn about space exploration through a series of

programs held at the Grand Rapids Public Museum, including hands-on activities and a presentation at the Roger B. Chaffee Planetarium. The

following day, Saturday, family events focusing on space will continue at the GRPM.

Visit the celebration website at www.gvsu.edu/rogerthat for more information.  For questions, contact [email protected].

Event Details

On Friday February 10, The L.V. Eberhard Center and Kennedy Hall of Engineering will hold an Academic Conference from 8 am to 5 pm. Fifteen

academics from a number of different fields will present papers during five breakout sessions that cover the themes “Space and Science,” “Space and

Society” and “Space and the Arts.”

The afternoon Keynote Address, “Why Do We Look Up At the Heavens?” will be presented by Brother Guy Consolmagno, the Director of the Vatican

Observatory and a renowned expert in the field of planetary science. His books include Brother Astronomer: Adventures of a Vatican Scientist and

Would You Baptize an Extraterrestrial? Brother Consolmagno received the Carl Sagan Medal from the American Astronomical Society in 2014.

A Student Design Challenge will be held that allows local students in grades 6 -12 to show off their innovative solutions to a choice of three challenge

topics: Humans in Space, Communities in Space and Robots in Space. Solutions will be presented and displayed on posters in Kennedy Hall on Friday.

Both juried and public voting will take place with the winners announced at the Grand Rapids Public Museum on Saturday. Design Challenge guidelines

and instructions for educators can be found on our website.

A Friday evening catered dinner at the Eberhard Center will be held, followed by a keynote address entitled “A Conversation with Martha and Sheryl

Chaffee.” Martha Chaffee is the widow of Roger B. Chaffee, and Sheryl is their daughter.  Sheryl has spent over thirty years working for NASA. Both

women are supporters of the Astronaut Memorial Foundation. We are delighted to have them attend our event in Roger’s honor. The dinner and

keynote together form a single ticketed event with proceeds going to the Roger B. Chaffee Scholarship Fund. Space is limited so those planning to

attend the dinner event are encouraged to register early on our website.

Following the Friday keynote, the Grand Rapids Pubic Museum will present “Dark Side: The Light Show” at the Roger B. Chaffee Planetarium beginning

at 9 pm.

On Saturday, February 11, “Roger That!” will continue at the Grand Rapids Public Museum, with educational exhibitions and activities scheduled to

take place throughout the day. The general public, families in particular, are encouraged to attend. Events will include a public talk by Brother Guy

Consolmagno entitled "Discarded Worlds: Astronomical ideas that were almost correct."

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In addition to all of the above, samples from the Moon and beyond will also be coming to the Grand Rapids area as part of the “Roger That!” event.

GVSU will be receiving two clear acrylic discs from NASA’s Astromaterials Acquisition and Curation (ARES) Office in Houston. One disc contains lunar

material (three soils and three rocks) gathered from the various manned Apollo lunar landing sites, while the second disc contains assorted meteorite

samples. These rare materials will be accessible for viewing by the public during scheduled display times on both days of the event.

Finally, in advance of the February event, a special “Roger That!” photo exhibition will be on display from January 1 through March 31 at the West Hall

Gallery in the Eberhard Center. The exhibition, produced by the GVSU Art Gallery in conjunction with the Chaffee family and the Grand Rapids Public

Museum, will display images depicting the life of Roger B. Chaffee.

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GVSU and the Grand Rapids Public Museum Announce theRoger That! Design ChallengeTo commemorate the life of native son, Roger B. Chaffee, and the brave astronauts of Apollo 1, Grand Valley State University and Grand Rapids Public

Museum are hosting a symposium on the weekend of February 10 - 11, 2017.

We invite interested 6th-12th grade students in the greater Grand Rapids area to participate in the Roger That! Design Challenge. Separate awards

will be presented for 6th - 8th grade and 9th - 12th grade based on juried competition and popular vote.  

Challenge Topic Categories:

i. Humans in Space (e.g., bone and muscle loss in zero gravity, harmful radiation effects, etc.)

ii. Communities in Space (e.g., structures & materials to protect from radiation, terraforming, etc.)

iii. Robots in space (e.g., search & rescue, maintenance, exploration of hostile environments, etc.)

Examples of things you can do:

Build physical devices (robots, model structures, etc.) or computer models

Design materials or measurement devices

Explain concepts and discuss solutions to impediments

How to participate:

1. Select a topic category.

2. Form a team (recommended size 3-7 students), and research your topic.

3. Submit your project documentation online by January 27, 2017.

4. Present your project on Friday, February 10 at GVSU and Saturday, February 11 at GRPM.

Presentation of project:

Required for all teams:

Project documentation (see below)

Poster presentation (team members will interact with judges and the public)

Optional ancillary materials (examples)

Physical or computer models

Websites

Movies, slide show presentations, etc.

Project Documentation (up to 5 pages including figures and bibliography):

1. Your reason(s) for choosing the problem

2. Your research into the problem

3. Your solution to the problem

4. Something(s) you learned that surprised you

5. The most challenging part of your project

Juried awards will be based on:

Project documentation (content, scientific accuracy, grammar, appropriate referencing)

Poster presentation (project knowledge, ability to answer questions, organization)

Innovation (creativity and originality)

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The symposium will be held by Grand Valley State University and Grand Rapids Public Museum in honor of Roger B. Chaffee on February 10-11, 2017

at GVSU’s downtown campus (Kennedy Hall & Eberhard Center) and Grand Rapids Public Museum. See the companion article in this issue of the

InterChange.

Visit www.gvsu.edu/rogerthat/ for more details.

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Word Problems, Children's Strategies, and UnderstandingAddition and SubtractionA WORKSHOP FOR ELEMENTARY SCHOOL TEACHERS (ESPECIALLY GRADES K-2), MATHCOACHES, & ADMINISTRATORS

Dates: January 11th & February 1st, 2017

Time: 8 am - 3 pm

Workshop Description:

The CCSSM states that elementary school students need to be able to solve addition and subtraction word problems involving situations of adding to,

taking from, putting together, taking apart, and comparing with the unknown in various places.  Are your students able to readily understand and solve

some of these types of word problems but not others?  What makes some word problems more accessible or more challenging to children than other

problems?  How might word problems be effectively used to help children understand addition and subtraction and develop strategies for solving

these problems? 

We will explore a framework for the different types of addition and subtraction word problems, which was developed as part of the Cognitively Guided

Instruction research project and provides the basis for the CCSSM standard above.  These explorations will help us view addition and subtraction from

a child’s perspective and to identify levels of difficulty associated with the different types of addition and subtraction word problems.  We will also

explore factors that are important to consider to effectively used word problems to help children understand and develop strategies for solving

addition and subtraction problems.

Participants will be provided with time to develop sets of word problems that they will use with students in their classrooms.  Participants will also

have time to share and reflect on their experiences using word problems to develop and extend their students’ understanding of addition and

subtraction.

This workshop was created using materials from the Cognitively Guided Instruction (CGI) research project and NCTM publications.

Facilitator:

Nancy K. Mack., Professor of Mathematics, GVSU

Nancy received her doctoral degree from the University of Wisconsin-Madison with a major in Curriculum & Instruction (emphasis in Mathematics

Education) and a minor in mathematics.  Nancy has been a faculty member in the Department of Mathematics at GVSU since 2001.  Additionally,

Nancy volunteers in an elementary school in GRPS where she teaches weekly enrichment lessons to whole classes of children.  Nancy is highly

interested in helping children learn about numbers and operations on numbers in ways that are meaningful to them.

Registration:

Registration Form

For more information contact Chelsea Ridge at [email protected] or call  (616) 331-3172.

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WGVU Shares Education Programs!Consider these free educational materials

and contests for your students and teachers:

Learning Media Summit – for educators, learn

how you can integrate over 120,000 digital

resources set to standards into your

classroom for FREE!

Kids Invention Contest – 4th – 8th grade

students can submit their invention.  Use

their Science, Technology, Engineering, and

Math (STEM) skills to invent a product that

will solve a problem.  Winners will appear on

WGVU-TV and get a family four pack of

tickets to the Air Zoo!

Cool Teacher Contest – K – 8th grade

students can send a letter that explains why

their teacher should be one of WGVU’s Cool

Teachers.  Winning teachers and students will

be featured on WGVU-TV and get a pizza

party!

Kids Writers Contest – Calling all kids K – 6th

grade to enter a story or poem for online

publication and cool prizes.  English,

Mandarin, or Spanish!!

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Explore science at GRCC's Community Science DayCome enjoy free, interactive, science and

health-related activities for all ages. Make

silly putty, play with rivers and streams,

design and build your own artistic robot, get a

radiograph of your teddy bear, complete a

wheelchair obstacle course, and meet Max, a

mannequin that blinks, breathes and talks!

These are just a few of the many activities

you and your family can enjoy at our annual

community science day. See you there!

Saturday, Nov. 19, 10 a.m.-2 p.m. at Calkins

Science Center and Cook Hall on GRCC’s

main campus

Page 20: InterChange Newsletter - Grand Valley State University · InterChange Newsletter From the Regional Math & Science Center at Grand Valley State University November 2016 | Volume 23,

196 MATHEMATICS TEACHING IN THE MIDDLE SCHOOL ● Vol. 22, No. 4, November 2016

little problems with big solutions

solve it

We encourage classroom teach-ers to pose this problem to their students and submit creative solutions to share with our readers. Please include a brief analysis of the specific strategy; examples of original student work or high quality digital im-ages (include signed release for student work found at http://www.nctm.org/pubsforms/); and your name, the school name and address, and your email address. Email submis-sions to Pamela J. Wells at [email protected], by January 15, 2017. Selected student work will be published and credited by first name.

(Answers on page 253)

DAV

ID F

RA

NK

LIN

/TH

INK

STO

CK

The solutions to Solve It, online at www.nctm.org, are available to NCTM members only.

Making SquaresMs. Harper needs a large number of congruent squares for a craft project for her students. She finds a large piece of cardboard that measures 588 cm × 630 cm. She would like to use all the cardboard, with no waste, and wants the squares to be as large as possible.

1. What are the dimensions of the largest squares that Ms. Harper cancreate without having any leftover cardboard? Remember that all squaresmust be congruent. How do you know that no other larger size is possible?

2. How many squares of that size will Ms. Harper be able to create?

Ms. Harper decides that a nonsquare rectangle might work better for herstudents’ craft project. She cuts the 588 cm × 630 cm piece of card-board into 108 congruent rectangles with no waste.

3. What are the dimensions of the rectangles that Ms. Harper could create?Are there any other dimensions she could have used? How do you know?

CCSSM: 6.NS.B.4SMP 1, 2, 3, and 4

Annie Perkins and Pamela J. Wells

Copyright © 2016 The National Council of Teachers of Mathematics, Inc. www.nctm.org.All rights reserved. This material may not be copied or distributed electronically or in any other format without written permission from NCTM.