teaching elementary math

MATH: How to start the school year off right!

Congratulations on starting a new school year!  Whether you’re a new teacher or a returning veteran, the beginning of the year is a rush of nerves and (hopefully) excitement!

 

In this post, I’ll describe several math activities I do with my class during the first few days of school. I’ll highlight the qualities that I believe lead to math success for all students:

 

growth mindset

using tools

craftsmanship

creativity

clarity

accuracy

fluency

mathematical discourse: explaining, questioning, listening and reasoning

First of all, everyone gets a fresh start.

When students walk into your classroom on the first day of school, they come with a host of math memories. Some are good, some are awful. You might have access to students’ scores and work from previous years. The first few days of school are not the time to hold students to their pasts. Kids can develop strong math identities, and we want them to leave those at the door.

 

We want to challenge the kids who have had easy success. We want to show those who have struggled that they have qualities they can use to meet or even exceed grade level expectations. Over the summer, students might have grown and matured, and concepts that have never clicked before might be ready to click! At the beginning of the school year, everyone gets a fresh start.

 

Even YOU get a fresh start!

Teachers often have math baggage, too. You may have had some difficult experiences in math class when you were growing up. I often see teachers struggling when students share ideas or strategies for solving math problems that are non-traditional.  This is your year to let it all go!  Enter the new school year with an open mind and a willingness to learn from your students.  Some of my favorite strategies are those I’ve learned from kids!

teaching elementary math

Allow for success with creative math.

Many students think that when it comes to math, you either have it or you don’t. We want to begin disproving this from minute one of the new year! By facilitating activities that require creativity, we can develop growth mindsets among even the most challenged (or successful!) students.

 

One activity I like to do starts with a hundred chart. I show students a hundred chart and ask them if they’ve seen one before. Usually, they say yes. I tell them that there are so many reasons I love this tool. However, sometimes, I think it’s funny that the 1 box is the same size as the 4 box or even the 54 box. I ask them to imagine what it might be like if the 1 took up one box, and the 2 took up twice as much area, and the 54 took up 54 boxes of area.

 

I tell them I’m going to give them some time with grid paper and color pencils to design a hundred chart in which the number matches the area in squares. They won’t have enough time to finish, but they’ll have plenty of time to give us an idea of their plan for this new math tool.

Highlight qualities that matter.

After 20 or 30 minutes, we do a silent gallery walk of their new hundred chart designs. I tell them the rules: We walk around the room in silence, looking closely at our classmates’ work. We don’t touch anyone’s work, we just make careful observations. Sometimes we take notes, sometimes we don’t. This time we won’t.

 

After the gallery walk, I pull students down to the carpet to sit in a circle with their design. I ask them to raise their hands and comment on the craftsmanship, creativity, and clarity that they saw. I highlight the importance of these qualities in all school work, and really emphasize how these qualities help students have success in math.

 

Many students think that accuracy and speed (fluency) are everything in successful mathematics. I want students to know that in my class, quick accuracy is secondary to working carefully, solving problems creatively, and being able to explain strategies clearly.

 

Observe team work.

Often, after students have had time to design their own area-based hundred chart, I’ll put them into groups of about 4. I’ll ask them to show each other their designs, and then co-create a design to neatly illustrate on large grid paper. Observing them share and listen helps me get to know my new students.

 

Watching them work together to come up with one design is particularly fascinating. This activity highlights leadership and flexibility. During a debrief, I’ll highlight the importance of sharing and listening in math class. I want students to know they’re not alone in learning math. They learn from me, they learn from each other, and they do their part in helping others learn.

 

 

Use games and fun activities to introduce and encourage use of manipulatives.

elementary geometry math gameOne game I like to play during the first few days of school is Race To 6 Shapes. I can’t tell you how much I LOVE pattern blocks. I use them a lot during math, and this game is a fun way to introduce them and their properties.

 

Before playing Race To 6 Shapes, you can introduce the blocks with another game, a circle game called “Did You Know?” Each kid has a turn holding a pattern block and asking the next kid, “Did you know …(this is orange/a square/a rhombus/a shape with right angles/a block/stackable/ has 6 faces/etc.)?”  Students are encouraged to pay attention and try not to repeat any attribute.

 

After a few rounds of Did You Know, ask the class to brainstorm ways they can use pattern blocks as math tools this year. Some of the many ways are: as counters, for learning area, as fraction models, understanding geometry terms, for designing patterns, while measuring angles.

 

Once you’re all madly in love with pattern blocks and their many qualities, you can teach the class Race To 6 Shapes. In this game, students take turns picking a card from a stack of attribute cards. If there is a pattern block with the attribute on their card, they take the block. Everyone playing is racing to collect 6 different pattern blocks.

 

Sometimes a card will fit more than one block, and the player must choose. Sometimes the attribute on a card will not fit any of the blocks, or the player will already have the only block shape that fits the attribute.

 

The game is straightforward and fun. It’s a great way to start using math vocabulary and introduce a wonderful math tool, pattern blocks.

 

Share hopes and fears.

When students have had several interesting, creative math experiences, ask them to share their hopes and fears for math this year. Tell students that we all have strengths and challenges. We are a community here to support each other, and no one needs to feel embarrassed about parts of math they’re worried about. You may be surprised about how open students can be. Even the most successful students often share anxieties. They may also share very specific goals. For students with fixed mindsets, hearing that “good” math students have fears and goals can be very powerful.

 

Do not bore them with review and fact practice … make challenges fun from the get-go.

In those first few days of school, it’s important not to bore students, or to separate them into those who know their facts and those who don’t. It is possible to provide them with activities that require critical thinking and invite students of all math levels. Take Marilyn Burns’ “Dealing in Horses” problem, for example:

 

A man bought a horse for $50 and sold it for $60.

He then bought the horse back for $70 and sold it again for $80.

What’s the financial outcome of these transactions?

 

This problem may seem simple at first. Students will soon realize that their classmates have solved it in different ways and have different answers. What a perfect time to introduce mathematical discourse and accountable talk! Students may not know that an important part of math is explaining and discussing strategies and solutions.

 

Students who struggle with numbers may find that they can clearly explain their steps for solving this problem (even if they got the answer wrong or couldn’t finish!). They can also ask good questions that help others improve their explaining skills.

 

The “Dealing in Horses” problem is an opportunity for your class to brainstorm ways to show and explain thinking. Students might want to use play money, base ten blocks, drawings, or equations to help others understand their process.

 

Excitement is contagious… make math exciting! Push problem solving.

 

Are you excited about fact practice and review? I’m not either. Your students aren’t either.

 

In those first few days of school, it is critical that teachers set the tone for the year. Math is a time to think creatively, figure things out, and grow closer as a class through discussion and collaboration. Everyone will contribute, regardless of their past experiences. Doesn’t that sound exciting?! Here’s to a great new school year!

 

Check out many more fun and engaging math activities and games here!

 

elementary geometry math game

elementary math teaching

Jump-start the new year!

Start the new year with Math activities that engage all students, promote growth, and help students feel that they’re getting a fresh start.

 

What if I asked you to copy down by hand pages of text in a language you didn’t know? It would be painfully boring, and you’d soon be frustrated or even angry.

 

But what if I taught you the language first? Then you’d be engaged with the content. You’d know if you were transcribing a fairy tale or top secret documents. You would be in on the story.

teach elementary math

Some students feel that practicing math problems with pencil and paper is like the first scenario. They see practice problems as writing and rewriting symbols following a memorized procedure. They’re not in on the story – they’re simply writing in a language foreign to them.

 

While we should limit the amount of paper-pencil practice students do, it is also important for them to do some.

 

By first providing concrete (hands-on) experiences that help students understand the math behind symbols and equations, you’ll see that more students can stay engaged with practice problems later, when they are required to do paper-pencil practice.

 

Hands-on activities not only lead to stronger student engagement, they help students reset their math mindsets.

 

One of my FAVORITE math activities that is fun, challenging, and super engaging is The Stolen Pendant.

 

 

Stolen pendant elementary math STEAM activity

 

In this activity, kids learn that a beautiful necklace pendant has been stolen by 3 thieves: Bandit, Rascal, and Clyde. The thieves have split up the jewels and sold them off. The kids need to help Detective Sherloff Homie do a lot of math to ensure that the thieves (who have been caught) properly pay back the necklace’s owner.

 

Students use what they know about the whole and fractional parts, proportional reasoning, multiplication and division, and mathematical discourse (math talk) to work together or independently to solve the case!

 

As kids engage in this fun and complex activity, they use many problem solving strategies: they build and deconstruct pattern block designs, explain their reasoning, connect their concrete understanding to symbols and equations, and write about their process.

 

The best part is, they are having fun while working really hard and doing lots of math. 

 

Using the provided discussion questions, teachers can take advantage of the positive vibe in the classroom to help kids realize the power they have to solve really challenging math problems.

 

Suddenly, the pride students feel from solving the case has a new meaning they can carry with them: they are each intelligent, capable mathematicians.

 

Stolen pendant elementary math STEAM activity

 

Another math activity that takes kids from frustration to fun is Fraction Swap: The Best Fraction Game Ever!

 

fraction math for elementary teachers

When students play Fraction Swap, they are using strategic thinking in a race to cover two wholes with hands-on fraction pieces.

 

Students are constantly looking for opportunities to swap out several smaller fraction pieces for equivalent larger pieces.

 

This hands-on, engaging, and motivating game makes fractions click for those who get to play it. 

 

 

For students to have a great school year, they need to buy in.  Math activities that are motivating, like games and mystery challenges, pique the interest of even the most resistant mathematician. Hands-on experience creates concrete understanding, which serves students (and teachers!) throughout the year.

 

Eventually, students will do some paper-pencil math practice. But before that, they NEED engaging, hands-on activities that truly teach them that they are mathematicians!

box method multiplication math game for elementary students, teachers, and parents

Teaching with the Box Method for Multiplication

box method multiplication math game for elementary students, teachers, and parents

What is the Box Method for multiplication?

 

The box method is a strategy for multiplying large numbers. It is an alternative to the standard algorithm for multiplication.

The box method is based on an area array representation of multiplication. An array is proportional to the size of the numbers being multiplied. With the box method, students create equally sized “boxes” for finding partial products. This is an efficient use of their space and time. Otherwise, the two strategies are essentially the same.

 

 

The box method makes use of place value and partial products. Students break the factors of the multiplication problem into place value parts: hundreds, tens, ones, etc. Then they multiply each part of each factor. The box method should be taught not as a procedure, but as an illustration or representation of real area or objects.

 

Why not just use the standard algorithm?

 

The standard algorithm for multiplication is an efficient way to multiply large numbers. However, it is challenging to understand how and why it works. It is an abstract way to multiply. Teachers often require students to memorize the procedure for the standard algorithm through rote practice. When students lack understanding for how the algorithm works, they often make procedural mistakes.

Learning the box method for multiplication before using the standard algorithm gives students a base for understanding how and why strategies for multiplying large numbers, including the standard algorithm, work. The box method illustrates the concept of multiplication.

Once students understand and can use the box method, they are more likely to understand the standard algorithm. Therefore, they are less likely to make mistakes using it.

 

box method multiplication, common core elementary math

 

Introduce the box method with arrays and manipulatives (blocks).

 

By the time students are ready for the box method, they should be familiar with using area arrays as a way to represent multiplication problems. For example, they should be able to create an array for the problem 3×5. The box method will take this skill one step further.

 

Using base 10 blocks to create models of the box method is a great way to solidify understanding.  Have students build a model for a 2×2 or 1×3 digit multiplication problem. Then ask them to use the blocks to help them fill in their written box method drawing.

box method for elementary math teachers and students
This student has created a physical model of 12×22 using base 10 blocks. He will use this model to help him fill in the box method on his paper.

 

To link the box method to previously learned arrays, spend some time having students create large arrays on grid paper with 2 digit by 2 digit multiplication problems. The box method is one step more abstract than an array because the box method does not show every individual square.

 

Creating a huge array is time consuming and challenging, but it will help create buy-in for the box method. After counting out and tracing hundreds of squares on grid paper, students will want to learn a more efficient strategy!

 

It’s important to continually make explicit connections between the drawn models on grid paper, the physical models built with blocks, and the box method.  Ask students to explain how each part of their drawing or base 10 block model relates to each part of the box method.

box method multiplication common core math

 

Why practice the box method with the Box Method Game?

box method multiplication math game for elementary students, teachers, and parents

 

When students play the Box Method Game, they are collecting pieces of a multiplication product, card by card. They methodically create a solution for a multiplication problem using the box method. Playing the game helps students understand each part of the box method structure. It’s almost like they are building a puzzle organized by place value. There are several reasons I love to introduce the box method with the Box Method Game.

 

First of all, the Box Method Game reinforces the benefits of using place value to solve problems. Breaking down numbers by place value is a strategy that works across operations. The cards are a visual reminder that each place value is ten times larger than the one to its right. Also, the game constantly reinforces the place value structure of the box method.

 

Secondly, the game cards are visual representations of base 10 blocks. It can be challenging for students to jump from concrete tools, like base 10 blocks, to abstract representations, like numbers. Using the cards is a reminder to students that they do not always need to have actual blocks – they can use or create drawings of blocks to help them solve problems. This idea fits with the CPA model for instruction (concrete – pictorial – abstract).

 

Lastly, I love that when playing the Box Method Game, students do so much mental math.  Depending on the cards they have in their hands each round, they are constantly analyzing the multiplication problem (2 x 245, for example) to figure out how many thousands, hundreds, tens, and ones the product will have.  The mental math is possible because students break down the larger factor by place value and write it in expanded form.

box method multiplication math game for elementary students, teachers, and parents

An Overview of 4th Grade Common Core Math

This is my 4th grade Common Core Overview!

 

Click Here OverviewI took all of the 4th grade Common Core math standards and boiled them down to about 20 important concepts. I wrote learning targets for each, and paired each target with 1-3 math problems.

 

There are several ways to use the 4th Grade Common Core overview:

 

  1. Confidence Builder:

I created this overview for my 4th About 2/3 of the way through the school year, I showed them the one-page blank version of the overview (the one without problems) and told them, “These are all of 4th grade math standards, packed into 20 boxes! You can do this!” Seeing this limited amount of math made the Common Core standards feel manageable to them. We made a plan to spend the rest of the year mastering each of these concepts.

 

  1. Self-assessment:

I handed them a copy of the one-page blank overview and asked them to write down a 1, 2, 3, or 4 in the top corner of each box (see scale below) as we talked about the types of problems that fit each learning target. I told them to be honest with themselves and me. I also pointed out that we had not yet covered all of the concepts, and that we would continue to strengthen our skills in all of these areas. I wanted them to feel OK about where they were. After all, this was about getting each kid to a “3” or “4” – it was OK if they weren’t there yet.

1 = I do not know how to do this!

2 = I think I can get started, but I’m not confident I can get an accurate answer.

3 = I can answer this type of problem accurately.

4 = I know two or more strategies for answering this type of problem.

4th GradeCommon Core Math Overviewwith How To Use Tips

  1. Practice Activity:

In my classroom, I had kids rotate through math stations throughout the week. For a few weeks, one of the station activities was working through the large version of the overview with sample problems. I would circulate with a pen and put a star by problems that had been solved accurately, and where I could see work shown. For the most part, I did not focus on how the problem was solved. It was OK for the kids to use inefficient strategies. The focus was on understanding the concept and solving the problems accurately.

 

 

  1. Growth Mindset:

After kids had a chance to work through the overview, I handed back the one-page version of the overview, where they had pre-assessed themselves. I asked them to write down a new self-assessment score for each concept. Afterwards, we had a class conversation about the growth the kids had made, and which concepts still felt shaky. I took these and the worked-on packets to help me plan and differentiate lessons.
Math Overview 23 LTs

 

  1. Assessment:

After a few weeks of math activities and support informed by the packets and self-assessment, I handed fresh copies of the overview to students, with new problems to match each learning target. These were to be treated as assessments. Students worked independently on them for a few math periods. As students handed them in, I checked them over and asked them to try again on problems they hadn’t solved accurately. I marked problems with a star if they were completed accurately, or an arrow if they needed to be tried again. This arrow helped me remember later which students had trouble with which problems. Once a student had completed the packet with 100% accuracy, I asked him or her to make example posters for each learning target that showed 2-3 neat strategies for solving each problem. These students also began to work as student leaders, helping students who had done as much as they could independently.

 

  1. Reflection:

Along with several whole group and 1-on-1 conversations about this process, students walked their parents through the process and showed their work during student-led conferences. They showed their parents their self-assessment scores, their practice work, and their assessments.

 

  1. End of Grade Preparation:

In the days leading up to the end of grade standardized tests, I used the overview as a reminder to my nervous students that there was not an endless amount of math on the test. They had seen it all and practiced it all, and they could do it!

Here is a preview, and here’s where you can buy it.

 

 

Math Overview 23 LTs

4th grade common core overview

The inclusive classroom. Teaching tips for elementary schools.

Why I Love Inclusion

When I first started teaching in an inclusive classroom I was nervous. I didn’t know how I would be able to differentiate for every student, meet their diverse needs, and remain sane and happy.

 

I grew to LOVE inclusion. 

 

inclusive classroom strategies for teachers

 

One lesson I learned is that a learning disability is just one strand of who a student is.

 

I am constantly impressed with the wide variety of strengths and challenges my students present.

 

The rich insights from dyslexic students into the plot of read-aloud books have left me in awe.

 

The spot-on recommendations I’ve heard from a student for how we can solve class-wide social problems have opened my eyes to his future. I see him in a successful career, respectfully solving problems and leading a team of employees.  It now breaks my heart to think that in a different setting that student would be left out of this social experience because he needs to dictate written work.

 

inclusive elementary classroom

 

Learning about all these STRENGTHS has tuned me into how inaccurate the message about learning disabilities often is.

 

inclusive classroom teaching strategies

 

 

Even a kid who can’t read, write, or solve math problems on grade level can be incredibly intelligent in so many other areas that are just as or MORE important in real life.

 

I have seen mind-blowing artwork and ingenious math strategies come from students who have pushed themselves to be great in spite of tremendous challenges.

 

Those students need to be allowed the space and time to do this.

 

As teachers in inclusive classrooms it’s not our job to say, “Well, you have strengths in other areas.”  It’s our job to provide activities with multiple entry points, provide blocks and visuals and oral instruction, and perhaps most importantly, reflective debrief at the end of these activities.

 

Sometimes we have to be really creative about how reach all students.

 

inclusive classroom teaching math strategies for elementary teachers and students

In math, I’ve found that stations are especially effective. The structure helps me hold myself accountable.

 

I plan in best practices by always having a station with a hands-on activity, a station that requires logic and reasoning, and a station where students are pushed to persevere in solving a complex problem they haven’t seen the likes of before.

 

math stations for elementary students in an inclusive classroom

 

The kids are spread out in 3 areas of the classroom, and I’m free to walk around, listen in, support those who need it, and sip my coffee!

 

When there are a few minutes left, we gather around the circle and discuss math strategies we used and character traits that helped us, like perseverance and flexibility.tips for teaching in an inclusive classroom

 

My students know where math tools are, and they recognize that my expectation that they be fairly independent is part of the respect I have for them.

 

For the most part, I differentiate by providing time, tools, and an environment of perseverance and problem solving. Only occasionally do I alter work for a student.

 

I find that very few students can’t grasp grade-level math concepts, even if they’re challenged by accurately solving the corresponding problems. For example, most students who struggle with dividing large numbers can tell you exactly what division is.

 

It is most often not going to help them to dumb-down a math problem. Instead, we work together to figure out what strategies and tools will work for matching accuracy to conceptual understanding.

 

Why I love inclusion. Elementary teaching tips.

I love inclusion because it benefits ALL students.

 

When my class shares at the end of math, we hear about the struggles of perfectionists, kids with learning disabilities, and kids who have trouble working collaboratively. We also hear about successes, and the work that went into them.

 

An inclusive classroom is well-rounded, and that means it’s a classroom that is balanced by kids with strengths and challenges in all different areas. Some students  (with or without IEPs) have trouble with social skills, while others shine with exceptional interpersonal skills.

 

I try my best to help my students see that we’re a community there to support each other. We can all grow if we share our strengths and empathize with each other’s challenges.

 

They key is the way we, as teachers, support all students in embracing the differences. Inclusion is a way to build empathy and tolerance in children. Not surprisingly, it’s open communication and respect that fosters understanding instead of stereotyping and teasing.

 

improve math education at elementary schools
I work with teachers and schools to implement math stations. Recently I bumped into a local teacher. She told me that using my structure for planning and facilitating math stations has made a world of difference at her school. Please click here to learn more about how I can support you and your school!

 

 

Why Do Students With Dyslexia Struggle With Math?

If you have read Why I Love Inclusion, well, then you know that I love inclusion.

 

Unfortunately, I find that by the time some students get to me in 4th grade, they feel they can’t do things that I believe they can do. They have generalized their own learning disability too broadly, and given up on being “good” at skills for which I feel they have potential.

 

One example that comes up over and over again is welcoming a student with dyslexia into my classroom, and learning that he or she also has a generic IEP goal for math.

 

Why is it that so many students with dyslexia struggle in math?

dyslexia and elementary math

I have a theory, but first let’s talk about what dyslexia is.

 

The Yale Center for Dyslexia and Creativity says, “One thing we know for certain about dyslexia is that this is one small area of difficulty in a sea of strengths.”

 

The following are some quotes from an article by Sally E. Shaywitz, M.D. that appeared in Scientific American. The full article can be found here.

 

“Testing the youngsters yearly, we found that dyslexia affects a full 20 percent of schoolchildren…”

“This basic deficit in what is essentially a lower-order linguistic function blocks access to higher order linguistic processes and to gaining meaning from text. Thus, although the language processes involved in comprehension and meaning are intact, they cannot be called into play, because they can be accessed only after a word has been identified.”

“Linguistic processes involved in word meaning, grammar and discourse—what, collectively, underlies comprehension—seem to be fully operational, but their activity is blocked by the deficit in the lower-order function of phonological processing.”

“The phonological model crystallizes exactly what we mean by dyslexia: an encapsulated deficit often surrounded by significant strengths in reasoning, problem solving, concept formation, critical thinking and vocabulary.

“It is true that when details are not unified by associated ideas or theoretical frameworks—when, for example, Gregory must commit to memory long lists of unfamiliar names—dyslexics can be at a real disadvantage. Even if Gregory succeeds in memorizing such lists, he has trouble producing the names on demand, as he must when he is questioned on rounds by an attending physician. The phonological model predicts, and experimentation has shown, that rote memorization and rapid word retrieval are particularly difficult for dyslexics.

 

I’m worried. Are our dyslexic students struggling in math because they are being taught through memorized procedures, rote memorization of facts, and without connecting math strategies to conceptual frameworks?

 

That is my theory.

 

I have worked with enough teachers and parents to know that there are 2 major issues at hand here:

 

1. We are teaching the way we were taught.

Most of us were taught to memorize times tables, memorize the standard algorithms, memorize the steps of long division.

 

Most of us were not given opportunities to problem solve, figure out strategies on our own, or put math into context.

 

Many teachers are still teaching this way.

 

2. We are focusing on deficits instead of strengths.

 

Students with IEPs are often provided remedial help.  If she doesn’t have facts memorized, she’ll have help memorizing them. If she can’t keep a procedure straight, she’ll get extra practice doing it over and over again.

 

This all seems like common sense. But teachers are missing so many opportunities to allow her to internalize higher level math concepts through her strengths: visual spatial strengths, reasoning strengths, conversational strengths, and, critically, the ability to form conceptual frameworks.

 

She is being pulled aside and being held back.

 

So what can a teacher do?

 

Teachers can help students with dyslexia use their strengths to overcome their challenges. Math is actually the perfect subject for this.

 

Through hands-on experiences and rich math discussion, students with dyslexia can reach and exceed grade level expectations of math concepts.

 

inclusive classroom teaching math strategies for elementary teachers and students

 

Teachers can encourage students to figure out how to solve math problems on their own, suggesting that they use math strategies they are already comfortable with. For example, holding back on showing a more efficient strategy, and allowing kids to use repeated addition, blocks, or some other well understood strategy to solve newly introduced large multiplication problems. Is this time consuming? Yes? Does this allow for seamless understanding? Yes.

 

hands-on math for students with dyslexia

 

Teachers can offer activities that require students to practice math in context. For example, ask students to work together to solve a complex word problem that is realistic. The word problem should be written and read aloud several times – as many times as needed – throughout the activity.

 

Stolen pendant elementary math STEAM activity

 

Teachers can ensure that conceptual understanding becomes solid by providing time EVERYDAY for students to share strategies they used, and discuss similarities, differences, and patterns among their classmates’ work.

 

reflection questions for elementary math teachers

 

Teachers can create activities in which students must use several models to represent the same math problem. This helps all students see the connections between visual models, written equations, and physical models.

 

 

inclusive classroom teaching math strategies for elementary teachers and students

There are so many things we can do to serve our students with dyslexia. And guess what? All of these instructional practices benefit EVERY STUDENT!

What other ideas do you have for meeting the needs of every child?

 

improve math education at elementary schools

teaching growth mindset to elementary math students

Reset Math Mindsets

Today I want to talk about giving kids a clean start in math. We can do it with fun, hands-on activities.

 

STEAM Math Art Tile Design Activity for 4th, 5th, and 6th graders

When kids get to have an experience like this tile design activity, sometimes they forget they’re doing math.  The math is so in context, so authentic, that it just feels like a seemless part of the design process.

 

They’re moving, talking, and having fun. And at the end, it’s the teachers job to host a reflective discussion that helps students realize that they just tackled a complex math challenge. That last reflection component is the key to resetting kids’ math mindset.

 

To give students a fresh start, provide activities that have these 3 components.

1. Get Them Up And Moving!

Hands-on learning helps students make their own sense of math. Activities with blocks or fraction tiles boost proportional reasoning. Activities with counters can support number sense and organization. Dice activities foster subitizing, and games motivate efficiency and fluency.

 

STEAM math art elementary project
With this STEAM activity, students are given a checklist and pattern blocks. The kids work in partners to create a tile design within budget for their client, Mr. Buzz. A checklist provides students with a feeling of independence and frees up the teacher to move around the room, asking questions and observing problem solving. (Click image to learn more about this tile design activity.)

 

Set up math stations so even when students are sitting and working, they’re not at their usual work space. Even that small novelty changes the dynamic of the classroom.

 

Beginning class in a circle on the floor to introduce activities and ending class with a reflection circle of questions and shares means students are moving to at least 3 spots during their math period.

 

 

 

2. Get Them Talking!

Help students make strong math connections through talk. As they work, ask questions that connect physical reality to abstract math. Explaining concepts helps us process information at a deeper level – so take a break from teaching and leave the explaining to the kids!

 

STEAM math art tile design elementary turn and talk
In this tile design activity, kids need to communicate with their partner to choose tiles (pattern blocks) within a given budget, agree on a design, figure out each shape’s fraction of the whole, and measure the area of their creation. Talking about each step helps them process the math, and recording their work in a data table helps them see patterns and connect concrete concepts to abstract symbols. (Click image for details about this tile design activity.)

 

Here are some questions that get kids talking:

What symbol can I use to represent pushing two sets of blocks together? (addition +)
What are my choices if the two sets have the same number of blocks? (x or +)
What if I break a set of blocks into equal groups? (division ÷)
How would this be different if you had 10 more counters?
How many more counters would you need to get to the next 100?
How is your strategy different from your partners?
How is multiplying with 2 digit numbers different from 1 digit numbers?

 

3. Reflect On Fun!

Take advantage of the fun of hands-on activities and games to steer students towards a growth mindset. When kids are having fun, they don’t always realize the perseverance and problem solving skills they’ve used. Highlight those skills, and help students see that they have what it takes to work through challenging problems, whether they’re part of a game or an assessment.

 

At the end of class, ask direct questions about perseverance and problem solving:
Who got stuck and had to change gears at some point?
Who figured out strategies during the game that helped them do better and better?
How did you use math you already knew to solve this more complex problem?
What did it feel like to get stuck, and what did you do?
How can you use the perseverance strategies from this game to help you do math in the future?

Let’s finish the school year strong, with high-quality activities that promote positive attitudes and deep mathematical understanding!

 

 

Click here to check out one such activity:

 

STEAM Math Art Tile Design Activity for 4th, 5th, and 6th graders

 

Take care everyone! Happy New Year!

Jeannie Curtis

 teaching growth mindset to elementary math students

MATH PROJECT gingerbread house for elementary math teachers

Math Project: The Great Gingerbread House Project

gingerbread house math project for elementary school teachers

 

The Great Gingerbread House Project is a math project that I developed 5 years ago, and I’ve done it with 4th graders every year since. I’ve tweaked and improved it every year, and now I’m so excited to share it.

 

This project works well for students in a classroom or families at home.

 

The Great Gingerbread House Project is a lot of work for students… they make drafts and final copies of everything: floor plans, calculations of area and perimeter, and front and side views of their gingerbread houses. They do lots of math and have tons of fun!

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Designing and building the gingerbread houses creates an atmosphere of motivated engagement. The students feel the authenticity of the math challenges, and they’re excited to see their designs come to life.

Together with a partner, students collaborate to create a floor plan for a gingerbread house that cannot exceed a certain area.

math project gingerbread house for elementary school teachers 4th grade

They envision their gingerbread house and create to-scale drawings of front and side silhouettes.

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Then, they find the area and perimeter of the floor plan, and determine how many graham crackers they’ll need for the floor, walls, and roof.

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This inclusive project works for ALL students. It is visual, hands-on, and has many entry points for solving each math problem.

At each step of the project, partners work through multiple drafts to improve accuracy, clarity, and neatness.

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In the end, the kids get to build the house they’ve worked hard to design. They compare their predictions to the number of graham crackers and chocolate chips they actually use.

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This project is an amazing way to close out one calendar year or open a new year.

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I’ve laid out the project in an easy-to-use, step-by-step format with pictures to make life easy for the teacher and fun for the students.

The bundle comes with activities to introduce area and perimeter, everything needed (besides the sweets!) for the project, and reflection questions to wrap it all up.

I hope you and your students enjoy this project as much as my students and I do!

Click here to buy it!

 

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4th grade math project for teaching

homeschool family math project