# MAT Blog

YouTube is pretty awesome. YouTube videos have helped us fumble our way through countless tasks from how to build a staircase and put up drywall, to how to cook the perfect steak and make sushi. It has also helped us in the classroom when we needed to show our math students something rather than tell them about it.

While there are lots of useful math tutorials on YouTube, there’s also just as much rubbish, which makes sorting out the good stuff tedious and time consuming.

This morning we made an exciting new discovery—a video tutorial website called ThatTutorGuy. It’s run by a Stanford University graduate named Chris who is well-versed in anything from pre-algebra and analysis to trig, pre-calculus and physics. After watching several of his tutorials, we assure you that he’s the real deal.

While you will find several free videos on his site, you’ll have to become a subscriber to access all of them. For \$30 a month you’ll get 24/7 access to all the videos in all the classes on the site, to watch in whatever order you want, as many times as you want. As new classes are added, you'll get access to those as well.

If you’d like to try before you completely buy, Chris offers a seven-days-for-\$7 trial. There’s also a discounted, six-month plan for \$97 (that’s 46 percent off the regular subscription price).

To give you a sense for what his algebra tutorials are like, check out the video below.

“When will I ever use this?” It’s one of the most common questions math teachers hear from students. While there are lots of ways we can respond to this question, we believe the best answer comes from showing, rather than telling, our students why math is relevant to their lives.

Yummy Math is a web resource that will help you do this. All of the activities you’ll find on the site use real-world problems and scenarios that are not only familiar and engaging to students, but require them to use math to solve them.

Everything you’ll find on Yummy Math corresponds with the National Council of Teachers of Mathematics Process (NCTM) Standards and the Common Core State Standards (CCSS) for Mathematical Practice. Yummy Math is also in the process of adding CCSS correlation to every activity on the site. New lessons are added a few times a week and all of them are completely free.

Here are two examples of the types of activities you’ll find on the site:

Boorito
For Halloween 2013 Chipotle (a fast-casual Mexican restaurant chain) is offering \$3 burritos to any customer that comes in dressed in their Halloween costume after 4 p.m. Even better, Chipotle will donate up to one million dollars of the proceeds from the \$3 items to the Chipotle Cultivate Foundation. This foundation is dedicated to creating a sustainable, healthful, equitable food future.

• I wonder how likely it is that Chipotle will be able raise one million dollars in one evening? Take a couple minutes, first individually and then with a partner, to think about whether this goal is even reasonable? Write some of your observations and thoughts below.

•What information would be helpful to know in order to figure out the probability of Chipotle reaching their goal? Record your thoughts below.

Can you imagine sailing off to the West, into an empty looking ocean, to find what your captain believes is a good route to the Indian subcontinent?  This was a pretty risky navigational feat. Luckily the ships experienced good weather on their trip to the Caribbean.

Use some of what we know now about navigation to examine this trek and do some reasoning and experimentation with the data. To download the entire lesson plan, click here.

These are only two amongst dozens of math activities you’ll find on Yummy Math, so be sure to stop by and browse their resource library.

Before we officially shift our gaze towards 2013, we thought we’d celebrate the New Year by compiling some of Marygrove College’s most popular resources of 2012.

Now you can take them with you and access them whenever and wherever you are! Inside our Best of 2012 you’ll find:

• 10 things you should know for the first day of school
• Ways to reinvent elementary geometry and make it fun
• Literacy tools that nurture independent reading
• Ways to teach grammar…without teaching grammar
• Classroom management tips
• Simple and practical ways to enhance your curriculum with free technology

And more!

These are only a few of the resources you’ll find inside our Best of 2012—and if you don’t find what you’re looking for, be sure to browse our blog and resource library as well!

On behalf of Marygrove College’s Master in the Art of Teaching program, we want to wish you a healthy and successful New Year.

-The MAT Team

Thanksgiving is as exciting as it is hectic—especially when you’re a teacher. Not only do you have to plan out Thanksgiving for your family, you’ve got a classroom (or classrooms) full of kids to think about! If you’re running behind this year, or simply looking for a few new Thanksgiving lesson plans to supplement the tried and true, look no further: Here are a few of our favorite Thanksgiving activities that you can easily tie into your math, English, art and social studies curriculum.

4 Last-Minute Thanksgiving Lesson Plans for Elementary Teachers

Math
This is a fun activity for your elementary mathematicians, one that applies real-world math skills, but with a Thanksgiving twist. Here’s what you do:

Gather ads from a few of your local grocery stores. Divide the class into groups of three or four and assign each group a budget; you’ll also want to let them know how many guests they’ll be inviting to their hypothetical Thanksgiving dinner. Their task will be to stick to their budget and create a Thanksgiving dinner from the items listed in the advertisements.

Not only does this help your students hone their math skills—especially multiplication, where the prices of turkey are given per lb.—it also forces them to use their critical thinking skills by comparing items from several grocery stores to find the best price!

Writing/Composition
We originally got this idea from Vallye Blanton, a fifth grade teacher at Lake Park Elementary School in Georgia. Here’s what you do:

Compile a list of objects and then write them on slips of paper. For example, you might write down a few historical figures from the unit your students are currently studying, a pop star your students like, President Obama, an oven mitten, whatever—the objects can be inanimate, animate, and fictional, whatever you want, just get creative. Next, throw them into a hat and have each student pick one slip of paper.

Your students’ task will be to write a paragraph (maybe even a six-word story like we suggested in an earlier blog) describing what that person or object has to be thankful for. This activity sparks engaging (and often hilarious) classroom discussions. We’ve tried this and had great success with it!

History/Art
The folks over at Hazel Avenue School in West Orange, New Jersey came up with an activity they call Famous Faces. The activity is an excellent way to integrate reading, research and art. Once students have written a summary report about a famous historical figure, they take it a step further by making poster-board cutouts of the person to help bring him or her to life.

Since you’re putting the activity together a bit late in the game, you may want to simplify it. Instead of having your students write up a report, you might present and discuss some of the historical myths surrounding popular versions of the Thanksgiving story and have your students create poster board illustrations of what they’ve learned. For example, when many of our students think of “Pilgrims,” they automatically see strange folks in black hats. The same goes for the Wampanoag, the Native Americans who lived near Plymouth when it was first founded: Many of us envision the Wampanoag riding horses, sleeping in teepees and donning elaborate feather headdresses at the Thanksgiving dinner table. None of this, however, is accurate.

There’s an excellent site put together by LEARN NC—a program of the University of North Carolina at Chapel Hill School of Education—that will help you place the Thanksgiving story back into its original context and discuss it with your students.

Eating! (Who could forget this?!)
If there’s one thing every Thanksgiving activity needs, it’s good food. How about having your students make some Oreo Turkey Treats. We got this idea from Kimi C. over at Flickr.

Here’s what you’ll need:

7 Candy Corn
2 Double Stuffed Oreo Cookies
1 Whopper
1 Reese's Peanut Butter Cup
1 Tube of black piping gel
1 tube of white icing
1 Yellow and red food coloring
1 Yellow and red food coloring
1 Plastic Ziplock bag
1 sharp knife
1 pair of scissors
1 bowl

Here’s how you make them:
Put your Peanut Butter Cups in the fridge to cool. If you have cold hard chocolate to work with it makes it a lot easier.

Squeeze some of the white icing into a bowl. This will be your orange. Mix red and yellow food coloring with the icing to create your desired orange. Then put that into a plastic bag and set it aside for later.

Creating:
First you will be creating the tail using 1 Oreo cookie and 6 Candy Corns. Gently, with one candy corn pull apart just one side of the Oreo. Don't break apart the entire thing. Put a good amount of icing in between the two sides. This will help the Candy Corn stay. Place 6 Candy Corn (white side down) in between the cookie. See picture.

Take your white icing and squeeze a generous amount onto the top back of an Oreo cookie. Take the other Oreo and put the bottom into the icing to have it stand up. If it doesn't stand, add more icing! Once you have it standing, put it up against something so it doesn't fall until the icing is dry. I use a thick book.

Remove your Peanut Butter Cup from the fridge. Take your knife and cut off the very bottom so you have a flat surface. Put icing on the bottom and prop it up against the bottom and back of your Oreo cookies. See picture.

Next take your Whopper and squeeze more icing on one side. Place the Whopper on top of the Peanut Butter Cup to make your head.

Find a piece of Candy Corn that has a nice big white end. Using your sharp knife cut the color off leaving you with the white end. Place some icing on it and stick it on your Whopper as the beak to your Oreo Turkey. Hold for a moment.

Take your icing and place two white dots as eyes. Get your tube of black piping gel and place a black dot on each eye to make them come alive.

Grab your bag of already created orange. Cut a very small hole in the corner of the bag. Now, pipe feet.

Now you are done! It’s that simple!!

It’s curious that math and art have traditionally been placed on opposite sides of the spectrum, especially when you consider that they share many common features. Artists, like mathematicians, are problem solvers; they know how to improvise with raw materials, and look at their environment and their world in new and innovative ways. Both must be able to communicate, collaborate, think critically and approach their palate from perspectives other than their own. That’s why we are so stuck on arts integration—that is, bringing math into the art classroom and art into the math classroom.

Last week, we shared two of our favorite arts integration activities from Caren Holtzman and Lynn Susholtz’ book Object Lessons: Teaching Math through Visual Arts. Readers were enthusiastic about it, so we’re sharing one more lesson plan with you:

Arts Integration in the Elementary Math Classroom: Venn Sihlouettes
This activity is called Venn Silhouettes and, as you may have guessed from the title, it asks students to work with a Venn diagram and a silhouette. This could work for older students, but it is most appropriate for grades 3-5.

Here’s what you’ll need to get started: An overhead projector, markers, colored pencils or crayons, large white paper and tape.

Before you begin the activity, your students should be familiar with the following vocabulary words: Venn diagram, silhouette, overlap, same, different, compare, contrast, survey, graph, certain, equally likely, unlikely, impossible, profile.

Once you’ve familiarized your students with these vocabulary words, pair them up in groups of two. Have them tape their piece of paper to the wall opposite the projector; then have them take turns tracing each other’s silhouette on the same sheet of paper. If you look at the picture to the right, you’ll see that the silhouettes overlap but are facing opposite directions.

Next, have your students discuss things they have in common and things that make them unique from each other. Their task is to use colored pencils to either draw or use words to illustrate what makes them unique in the sections of their faces that do not overlap. After this, they should use the markers to write or illustrate those things they share in common.

Once they are finished, it’s up to you to decide where you want to take the activity. If it is still early in the school year, this is a great ice-breaker; it’s also a great way to spruce up your walls and create a student gallery.

Should you choose to create a student gallery, you can build on the activity by having your students conduct a “gallery walk” where they garner ideas and think about new things they could add to their own silhouettes. This activity is useful for triggering what Holtzman and Susholtz call “I wonder” questions: “Does John have a younger sister like I do? How long did Kelly live in Germany and why?” This will prompt students to interact and communicate with one another to find answers to their questions.

If you want to take the activity further, ask your students to collect data from the entire class; they can convert their findings to percentages and create graphs.

If you are like most educators, you’re on the prowl for new ways to engage your students. That's why Marygrove's Master in the Art of Teaching program continues to add  free downloadable guides to our website. If you find our resources to be helpful, you should know that this is only a small portion of the forward-thinking career and professional development ideas you’ll encounter at Marygrove College.

Mathematics is a high-stakes subject, especially in light of recent educational initiatives like "Race to the Top" and "Educate to Innovate.” High stakes, however, doesn’t mean that math can’t be fun—or creative, for the matter. In fact, we might even argue that if math students aren’t taught to be creative, they may be unprepared to meet 21st century challenges.

Think about it: Your students’ future isn’t static. Regardless of their future profession, life will demand that they have a diverse skill set. The math-savvy artist, for example, is (most likely) going to have more opportunities than someone whose knowledge stops with their own palette. A rapidly-changing, global economy needs not only solution-oriented, but creative thinkers with a range of experiences and interests.

That’s why we’d like to talk about math and arts integration and offer 2 creative lesson plan ideas that will help you (and your elementary students) take two seemingly disparate subjects (math and art) and fuse them together without having to compromise rigor for good times.

Fac(e)ing Mathematics through arts integration
The human face is a perfect place to begin. Why? For Caren Holtzman and Lynn Susholtz—authors of Object Lessons: Teaching Math through Visual Arts—it’s simply because the face has it all: number, measurement, size, shape, symmetry, ratio and proportion. When you apply these concepts to the body, you not only give your students a new lens through which to view themselves, but you help them to also approach math in a new and exciting way.

Activity 1: Lessons in Symmetry
This activity teaches students to create two-dimensional symmetrical images by giving them a portrait that only has one side of the face and asking them to complete the other half. You can either find a picture online or, if you are tech-savvy, scan and edit a photo of the student. If you have Photoshop, you can simply erase one side of the face, print it out and make photocopies for each student. If you don’t have access to photo editing software, print out the photo, cut in half vertically, place on a blank piece of paper, and make as many photocopies as you need.

Lesson Objectives
The goal of this activity is to help students analyze the geometric attributes and congruence of the face. An added bonus is that it also forces them to use their spatial sense to identify and recreate the symmetrically-balanced features that are missing. Once they are finished, you’ll find another teachable moment by asking students to consider issues of symmetry, proportion, measurement and perspective.

Vocabulary
Symmetrical, congruent, balance, bilateral

Activity 2: Polygon Portraits
This is another activity that uses the human face. This time, however, students will use geometry to compare the attributes of two-dimensional shapes; they will also have to see how those shapes can be taken apart and realigned to create new shapes.

Vocabulary
Curved, straight, edge, polygon, regular, irregular, congruent, vertex, vertices, angle, plane

Here’s what you do:

• Define and compile a list of polygon shapes by drawing them out on the board. As you do this, have your students describe the attributes of each shape.
• To supplement this activity, you might show your students pictures of Pablo Picasso’s cubist portraits. Compare his work to more conventional portraits and have your students talk about the similarities and differences between the two. Ask them what the like/dislike about Picasso’s work and why.

• Next, hand out mirrors to each student and have them draw self-portraits in either black charcoal or pencil using only polygons.
• Once they’ve done this, have your students describe their portraits using their newly acquired vocabulary.

• There are innumerable spins you could put on this activity. For instance, you could limit the number of shapes your students can use—or you could require that each shape be a different color of pastel, charcoal or colored pencil. If you prefer, you could also have your students cut these shapes out of construction paper instead of drawing them.

• If you want to challenge your students, ask them to use a set amount of polygons. For example, tell them that they have to use six triangles, 4 decagons, 5 octagons, 2 quadrilaterals, etc.

If you like these lesson-plan ideas, check out Caren Holtzman and Lynn Susholtz’ book Object Lessons: Teaching Math through Visual Arts; this is only the tip of the iceberg.

Math games for teachers are a fun way to entertain your mathematical geniuses and inspire the students who are lagging behind. If you're looking for new ways to inspire your students to find the joy in fractions, decimals, and algebraic equations - look no further. Here are 10 FREE math games that can help you reinforce your current lesson plans, allow your students some computer time, and give them a break - of sorts.

10 Free Math Games for Teachers

1. Add Like Mad. This game gives students a target number and a huge board of number tiles. Students have to click the numbers in order to Add Like Mad until the numbers they have selected add up to the target number.

2. Aquarium Fish. Little ones will enjoy this counting game. Count the Aquarium Fish and select the number that reflects the accurate total. At the end of the game, the computer tells you how many attempts it took to get the answer right, which can be a helpful assessment for teachers.

3. Math Man. The game Math Man is based on Pac Man. Need we say more? First Math Man has to eat the ?, then he has to eat the ghost that solves the math equation. You can use it to reinforce multiplication, division, and rounding numbers.

4. Digit Drop. Students practice addition, subtraction, multiplication, and/or division in Digit Drop. Simply drop the correct number from a big number batch to finish the equation. Students can practice, play, and select their level.

5. Calc. Students do the calculation in their heads and type the correct answer. The better they do, the faster and harder it gets. Your geniuses can even start at the "genius" level.

6. Counting Money. This is one of the best games for teaching students how to count money, make change, and do money-based word problems. Money Counting Basic states a specific dollar amount and students click on the money drawer to put the appropriate amount of change in the "hand."

7. Genius Defender. Holy moly. Where was Genius Defender when we were learning to add and subtract decimals? Cute little men and women defend their fort as the "invaders" - holding decimal problems - mount an attack. When students type in the correct answer to an attacker's decimal problem, the defenders eliminate him. The goal is to answer all equation attackers accurately before they invade the fort. It's addictive.

8. WMD2. Weapons of Maths Destruction involves shooting targets and tanks to receive a math equation. Easy equations deal with simple addition and subtraction skills. Harder ones move into the algebraic realm.

9. More or Less? Help students make comparisons by determining whether there are More or Less of certain objects in the squares. By selecting the least populated, most populated, or evenly populated squares, students learn to compare quantities.

10. Space Match Geo. Space Match Geo is great for beginning geometry students, helping them learn lines, rays, acute angles, etc. by playing a memory game. They flip over the icons to reveal a shape or a vocabulary term and have to match them appropriately.

These 10 math games for teachers are just a sampling of all that MathNook has to offer. They can be used to reward students who are doing well, as a fun way to work with students who are struggling with certain concepts, or as a Friday Fun Day. However, we do recommend that students use head phones so you can remain sane during the learning process.

Since the 1960's, Singapore has been a hallmark of math instruction. This country's students repeatedly rank at or near the top of the international mathematical rankings and outperform their peers in other countries. The differences in "Singapore Math" are significant when compared to math curriculum and instruction in the United States. These differences have prompted many US states and school districts to investigate and adopt curriculum based on the Singapore Math concepts, hoping for increased student understanding and achievement.

What makes Singapore Math different?

• commitment to differentiation
• careful and comprehensive assessment to understand students' mastery of concepts
• slower pace to promote a deeper understanding of mathematical concepts
• increased amount of time to fewer concepts
• detailed instruction to introduce concepts
• student practice via questioning, model drawings, hands-on manipulatives, and problem solving
• connections across mathematical strands reinforce how mathematical skills are related
• multi-grade approach to math curriculum makes mastery at one grade level crucial to student success in future grades
• as foundational skills are developed, the instructional pace increases in the higher grades as students master complex concepts more quickly.

Teachers, parents, and school officials often mention the drawback of other math programs is that they are "an inch deep and a mile wide;" that is, they cover many concepts with very little depth.  Singapore Math is completely different. The curriculum is committed to a detailed, deep understanding of fewer concepts as a way for students to truly master the skills being taught. This redundancy can be highly beneficial to students and makes it less likely that they will have to be remediated on similar topics in future grade levels.

Consider the curriculum's approach to a single activity for teaching the multiplication table of “8” to third grade students. This activity is part of a larger unit designed to teach and reinforce the multiplication tables in multiple ways. Teachers are encouraged to have students:

• Use centimeter graph paper to color in 10 rows of “8” and then write down the facts for multiplication by “8” in alignment with the arrays.
• Count by “8.”  Since this may likely be a challenge to most students, teachers can explain (after initial practice) that students can add 10 and then subtract 2 each time in order to count by “8.”
• Circle the numbers on a hundreds chart that they land on when counting by “8” and identify any patterns present on the chart.

Often in elementary math instruction, multiplication facts are learned by rote memory with little emphasis on the associated mathematical patterns or relationships. What can be interpreted as redundancy in a curriculum based on Singapore Math is actually a method to promote deep understanding of a single concept. With other approaches for math instruction it may appear that students quickly learn and master the multiplication table for “8.” But do they truly understand the mathematical implications of the multiplication?  With Singapore Math, they most certainly do!

Need some refreshing tips to encourage math literacy in your K-6 classroom? Simply download our free Math Literacy Guide, several pages of inspirational ideas for teachers, from teachers!

New Jersey goes to the head of the class in reading, according to the report out last week from The Nation’s Report Card, a communication of the National Assessment of Educational Progress (NAEP) that measures student achievement in elementary and secondary education in the United States.

In an article by Jeanette Rundquist, the state is encouraged by its fourth and eighth graders posting the second highest reading scores in the country. New Jersey also ranked an impressive number three and four ranking nationally in mathematics for fourth and eighth graders, respectively. But Rundquist is quick to point out that there is a lot of work to be done, since just less than 40 percent of students nationwide were considered “proficient” in writing and math.

The NAEP results reveal an interesting insight into student habits—on the national level, fourth graders who say they “read for fun almost every day” had higher reading scores.  What’s more, this year’s survey found a higher percentage of fun-reading fourth graders than in previous years.

Reading for fun? It’s heartening to know that children are still doing that. We can thank dedicated parents and teachers—and especially the authors of the “Harry Potter” series and “Diary of a Wimpy Kid” for keeping fourth graders interested in books. But the national average for fourth grade reading comprehension has not changed since 2009; even despite the NAEP data that shows approximately 47 percent of fourth-graders in the nation received 10 or more hours of language arts instruction per week in 2011, which is higher than in 2005.

While we are gratified that language arts instruction hours have increased in the school day, we still need to ask ourselves if we could be doing more to improve the flat-lined progress in reading comprehension across the nation.

Here’s what helps encourage a love for reading:

•Work together with parents to ensure there is a literacy-rich environment both in class and at home. Ask parents to have their children read out loud to them every week, if not every day. Also remind parents to keep reading to their children, too—no matter how old they are.

•Include a variety of Book Talks in your classroom, using the strategy of Think Alouds for students. (Davey, B. (1983). Think-aloud: Modeling the cognitive processes of reading comprehension. Journal of Reading, 27(1), 44-47.) Two important things teachers need to do during a Think Aloud are share their personal reading selections with the class, and model behavior during Read Alouds for interpreting text. It really works.

•For older children, start a student-driven book club. Ask students to form groups outside of school and report back to the class on their experiences.

•Make sure you are choosing age-appropriate books for your students, and send home book lists to parents and guardians, to make choosing books at the library or book store much easier. One useful site to explore is the PBS Bookfinder page, where you can find age-appropriate books through third grade for Read Alouds or independent reading, organized by subject.

Halloween parties should be a fun break for students. But having a little structure in place can help teachers prevent their classroom parties from running amok. Elementary school parties can easily combine fun with learning. So today we’re introducing a new Math Halloween game that primes first and second grade students for learning multiplication with skip-counting. It is a game teachers can use year-round, as part of your Everyday Math lessons. And we know you’ll find it an excellent math activity for concrete, hands-on learners.

Our Master Teacher, Christina Bainbridge created this wonderful Math Halloween Party Game that you can download on her blog. It pairs candy with counting. You’ll love that they are practicing math. Children will love that they’re allowed to keep their winnings!

The trick to managing a sane Halloween party with a couple of dozen children is assembling work stations. The best treat teachers can give themselves on Halloween is a helpful room parent or two to assist! Have a different craft or activity for every sixth child, so if you have 25 students, plan on roughly four work stations. Make one of them the refreshments table, to avoid a mad dash to the food!

If weather permits, Relay Races are a traditional favorite, and again, are managed easily in small groups. For a fun twist, you can have a Zombie Relay, where children wobble, sway and stumble to the finish. How about a black cat relay, where children compete on all fours? Or a witches relay complete with a broomstick to fly on? Use your imagination, so you can capture theirs.

If you are concerned about too much sugar—and only you can discern what best fits your class, TeachHUB.com has a great blog from Patty Murray about celebrating a healthy Halloween. She suggests turning the focus from sweets to Halloween-themed school supplies such as pencils, erasers or other dollar store finds.

Who says party snacks have to be all candy? Try trail mix with dried fruit and pretzels—forget the nuts—too risky for little allergic ones. Raisins, berries, sliced fruit and dips all offer good alternatives to candy. Give older children a wooden skewer and have them assemble their own fruit kabobs—that’s a good ten minutes of activity right there!

Middle School Students Like Halloween, too

Halloween parties for middle school children are harder to plan, as some students find Halloween childish, and others aren’t ready to let go. Middle school parties are a great way to establish classroom community by simply having some down time to talk with one another, and share ideas.

Why not engage students with an ice-breaker that gets them talking about something content related. How about making a cliché graveyard to work with your writing instruction? It is a fun oral and writing exercise that asks students to identify a list of clichés that they can “bury” all year, and promise to never use in their writing. Phrases such as “not so much” and “at the end of the day” can be written on “tombstones” made of construction paper and posted to a bulletin board.

Simply passing out carmeled apples to older students—children who are accustomed to years of a big production on Halloween— is a thoughtful gesture. We need to wean them slowly! For many age appropriate Halloween learning ideas, check out TeachHUB’s blog on Classroom Activities for any grade. There are some great ones here for older students.

With a little forethought and a lot of creativity, Halloween can be a productive and memorable holiday for children of all ages. Happy Halloween!