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Classroom problem-solving activities teach children how to engage problems rather than to become frustrated with them. Teachers have the opportunity to teach children the proper methods for dealing with stressful situations, complex problems, and fast decision-making. While a teacher is unlikely to actually put the child into a difficult or otherwise harmful situation, he or she can use activities to teach the child how to handle such situations later on in life.

Teach the problems

To solve any problem, students must go through a process to do so. The teacher can explore this process with students as a group. The first step is to fully understand the problem. To teach this, ask students to describe the problem in their own words. This ensures the student is able to comprehend and express the concern at hand. Then, they must describe and understand the barriers presented. At this point, it’s a good idea to provide ways for the student to find a solution. That’s where activities come into play.

The following are five activities elementary teachers can use to teach problem-solving to students. Teaching students to identify the possible solutions requires approaching the problem in various ways.

No. 1 – Create a visual image

One option is to teach children to create a visual image of the situation. Many times, this is an effective problem-solving skill. They are able to close their eyes and create a mind picture of the problem. For younger students, it may be helpful to draw out the problem they see on a piece of paper.

Ask the child to then discuss possible solutions to the problem. This could be done by visualizing what would happen if one action is taken or if another action is taken. By creating these mental images, the student is fully engaged and can map out any potential complications to their proposed solution.

No. 2 – Use manipulatives

Another activity that is ideal for children is to use manipulatives. In a situation where the problem is space-related, for example the children can move their desks around in various ways to create a pattern or to better visualize the problem. It’s also possible to use simple objects on a table, such as blocks, to create patterns or to set up a problem. This is an ideal way to teach problem-solving skills for math.

By doing this, it takes a problem, often a word problem that’s hard for some students to visualize, and places it in front of the student in a new way. The child is then able to organize the situation into something he or she understands.

No. 3 – Make a guess

Guessing is a very effective problem-solving skill. For those children who are unlikely to actually take action but are likely to sit and ponder until the right answer hits them, guessing is a critical step in problem-solving. This approach involves trial and error.

Rather than approaching guessing as a solution to problems (you do not want children to think they can always guess), teach that it is a way to gather more data. If, for example, they do not know enough about the situation to make a full decision, by guessing, they can gather more facts from the outcome and use that to find the right answer.

No. 4 – Patterns

No matter if the problem relates to social situations or if it is something that has to do with science, patterns are present. By teaching children to look for patterns, they can see what is happening more fully.

For example, define what a pattern is. Then, have the child look for any type of pattern in the context. If the children are solving a mystery, for example, they can look for patterns in time, place or people to better gather facts.

No. 5 – Making a list

Another effective tool is list making. Teach children how to make a list of all of the ideas they come up with right away. Brainstorming is a fun activity in any subject. Then, the child is able to work through the list to determine which options are problems or not.

Classroom problem-solving activities like these engage a group or a single student. They teach not what the answer is, but how the student can find that answer.

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Problem-Solving in Elementary School

Elementary students practice problem-solving and self-questioning techniques to improve reading and social and emotional learning skills.

In a school district in New Jersey, beginning in kindergarten each child is seen as a future problem solver with creative ideas that can help the world. Vince Caputo, superintendent of the Metuchen School District, explained that what drew him to the position was “a shared value for whole child education.”

Caputo’s first hire as superintendent was Rick Cohen, who works as both the district’s K–12 director of curriculum and principal of Moss Elementary School . Cohen is committed to integrating social and emotional learning (SEL) into academic curriculum and instruction by linking cognitive processes and guided self-talk.

Cohen’s first focus was kindergarten students. “I recommended Moss teachers teach just one problem-solving process to our 6-year-olds across all academic content areas and challenge students to use the same process for social problem-solving,” he explained.  

Reading and Social Problem-Solving

Moss Elementary classrooms use a specific process to develop problem-solving skills focused on tending to social and interpersonal relationships. The process also concentrates on building reading skills—specifically, decoding and comprehension.

Stop, Look, and Think.  Students define the problem. As they read, they look at the pictures and text for clues, searching for information and asking, “What is important and what is not?” Social problem-solving aspect: Students look for signs of feelings in others’ faces, postures, and tone of voice.

Gather Information . Next, students explore what feelings they’re having and what feelings others may be having. As they read, they look at the beginning sound of a word and ask, “What else sounds like this?” Social problem-solving aspect: Students reflect on questions such as, “What word or words describe the feeling you see or hear in others? What word describes your feeling? How do you know, and how sure are you?”

Brainstorming . Then students seek different solutions. As they read, they wonder, “Does it sound right? Does it make sense? How else could it sound to make more sense? What other sounds do those letters make?” Social problem-solving aspect: Students reflect on questions such as, “How can you solve the problem or make the situation better? What else can you think of? What else can you try? What other ideas do you have?”  

Pick the Best One.  Next, students evaluate the solution. While reading, they scan for smaller words they know within larger, more difficult words. They read the difficult words the way they think they sound while asking, “Will it make sense to other people?” Social problem-solving aspect: Students reflect on prompts such as, “Pick the solution that you think will be best to solve the problem. Ask yourself, ‘What will happen if I do this—for me, and for others involved?’”

Go . In the next step, students make a plan and act. They do this by rereading the text. Social problem-solving aspect: Students are asked to try out what they will say and how they will say it. They’re asked to pick a good time to do this, when they’re willing to try it.

Check . Finally, students reflect and revise. After they have read, they ponder what exactly was challenging about what they read and, based on this, decide what to do next. Social problem-solving aspect: Students reflect on questions such as, “How did it work out? Did you solve the problem? How did others feel about what happened? What did you learn? What would you do if the same thing happened again?”

You can watch the Moss Elementary Problem Solvers video and see aspects of this process in action.

The Process of Self-Questioning 

Moss Elementary students and other students in the district are also taught structured self-questioning. Cohen notes, “We realized that many of our elementary students would struggle to generalize the same steps and thinking skills they previously used to figure out an unknown word in a text or resolve social conflicts to think through complex inquiries and research projects.” The solution? Teach students how to self-question, knowing they can also apply this effective strategy across contexts. The self-questioning process students use looks like this:

Stop and Think. “What’s the question?”

Gather Information. “How do I gather information? What are different sides of the issue?”

Brainstorm and Choose. “How do I select, organize, and choose the information? What are some ways to solve the problem? What’s the best choice?”

Plan and Try. “What does the plan look like? When and how can it happen? Who needs to be involved?”

Check & Revise. “How can I present the information? What did I do well? How can I improve?”

The Benefits

Since using the problem-solving and self-questioning processes, the students at Moss Elementary have had growth in their scores for the last two years on the fifth-grade English language arts PARCC tests . However, as Cohen shares, “More important than preparing our students for the tests on state standards, there is evidence that we are also preparing them for the tests of life.”

Problem Solving Activities: 7 Strategies

• Critical Thinking

Problem solving can be a daunting aspect of effective mathematics teaching, but it does not have to be! In this post, I share seven strategic ways to integrate problem solving into your everyday math program.

In the middle of our problem solving lesson, my district math coordinator stopped by for a surprise walkthrough. 

I was so excited!

We were in the middle of what I thought was the most brilliant math lesson– teaching my students how to solve problem solving tasks using specific problem solving strategies. 

It was a proud moment for me!

Each week, I presented a new problem solving strategy and the students completed problems that emphasized the strategy. 

Genius right? 

After observing my class, my district coordinator pulled me aside to chat. I was excited to talk to her about my brilliant plan, but she told me I should provide the tasks and let my students come up with ways to solve the problems. Then, as students shared their work, I could revoice the student’s strategies and give them an official name. 

What a crushing blow! Just when I thought I did something special, I find out I did it all wrong. 

I took some time to consider her advice. Once I acknowledged she was right, I was able to make BIG changes to the way I taught problem solving in the classroom. 

When I Finally Saw the Light

To give my students an opportunity to engage in more authentic problem solving which would lead them to use a larger variety of problem solving strategies, I decided to vary the activities and the way I approached problem solving with my students. 

Problem Solving Activities

Here are seven ways to strategically reinforce problem solving skills in your classroom. 

Seasonal Problem Solving

Many teachers use word problems as problem solving tasks. Instead, try engaging your students with non-routine tasks that look like word problems but require more than the use of addition, subtraction, multiplication, and division to complete. Seasonal problem solving tasks and daily challenges are a perfect way to celebrate the season and have a little fun too!

Cooperative Problem Solving Tasks

Go cooperative! If you’ve got a few extra minutes, have students work on problem solving tasks in small groups. After working through the task, students create a poster to help explain their solution process and then post their poster around the classroom. Students then complete a gallery walk of the posters in the classroom and provide feedback via sticky notes or during a math talk session.

Notice and Wonder

Before beginning a problem solving task, such as a seasonal problem solving task, conduct a Notice and Wonder session. To do this, ask students what they notice about the problem. Then, ask them what they wonder about the problem. This will give students an opportunity to highlight the unique characteristics and conditions of the problem as they try to make sense of it. 

Want a better experience? Remove the stimulus, or question, and allow students to wonder about the problem. Try it! You’ll gain some great insight into how your students think about a problem.

Math Starters

Start your math block with a math starter, critical thinking activities designed to get your students thinking about math and provide opportunities to “sneak” in grade-level content and skills in a fun and engaging way. These tasks are quick, designed to take no more than five minutes, and provide a great way to turn-on your students’ brains. Read more about math starters here ! 

Create your own puzzle box! The puzzle box is a set of puzzles and math challenges I use as fast finisher tasks for my students when they finish an assignment or need an extra challenge. The box can be a file box, file crate, or even a wall chart. It includes a variety of activities so all students can find a challenge that suits their interests and ability level.

Calculators

Use calculators! For some reason, this tool is not one many students get to use frequently; however, it’s important students have a chance to practice using it in the classroom. After all, almost everyone has access to a calculator on their cell phones. There are also some standardized tests that allow students to use them, so it’s important for us to practice using calculators in the classroom. Plus, calculators can be fun learning tools all by themselves!

Three-Act Math Tasks

Use a three-act math task to engage students with a content-focused, real-world problem! These math tasks were created with math modeling in mind– students are presented with a scenario and then given clues and hints to help them solve the problem. There are several sites where you can find these awesome math tasks, including Dan Meyer’s Three-Act Math Tasks and Graham Fletcher’s 3-Acts Lessons . 

Getting the Most from Each of the Problem Solving Activities

When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student’s response tells teachers where to go next. 

Ready to jump in? Grab a free set of problem solving challenges like the ones pictured using the form below. 

Which of the problem solving activities will you try first? Respond in the comments below.

Shametria Routt Banks

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2 Responses

This is a very cool site. I hope it takes off and is well received by teachers. I work in mathematical problem solving and help prepare pre-service teachers in mathematics.

Thank you, Scott! Best wishes to you and your pre-service teachers this year!

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Teaching Problem Solving in Math

• Freebies , Math , Planning

Every year my students can be fantastic at math…until they start to see math with words. For some reason, once math gets translated into reading, even my best readers start to panic. There is just something about word problems, or problem-solving, that causes children to think they don’t know how to complete them.

Every year in math, I start off by teaching my students problem-solving skills and strategies. Every year they moan and groan that they know them. Every year – paragraph one above. It was a vicious cycle. I needed something new.

I put together a problem-solving unit that would focus a bit more on strategies and steps in hopes that that would create problem-solving stars.

The Problem Solving Strategies

First, I wanted to make sure my students all learned the different strategies to solve problems, such as guess-and-check, using visuals (draw a picture, act it out, and modeling it), working backward, and organizational methods (tables, charts, and lists). In the past, I had used worksheet pages that would introduce one and provide the students with plenty of problems practicing that one strategy. I did like that because students could focus more on practicing the strategy itself, but I also wanted students to know when to use it, too, so I made sure they had both to practice.

I provided students with plenty of practice of the strategies, such as in this guess-and-check game.

There’s also this visuals strategy wheel practice.

I also provided them with paper dolls and a variety of clothing to create an organized list to determine just how many outfits their “friend” would have.

Then, as I said above, we practiced in a variety of ways to make sure we knew exactly when to use them. I really wanted to make sure they had this down!

Anyway, after I knew they had down the various strategies and when to use them, then we went into the actual problem-solving steps.

The Problem Solving Steps

I wanted students to understand that when they see a story problem, it isn’t scary. Really, it’s just the equation written out in words in a real-life situation. Then, I provided them with the “keys to success.”

S tep 1 – Understand the Problem.   To help students understand the problem, I provided them with sample problems, and together we did five important things:

• read the problem carefully
• restated the problem in our own words
• crossed out unimportant information
• circled any important information
• stated the goal or question to be solved

We did this over and over with example problems.

Once I felt the students had it down, we practiced it in a game of problem-solving relay. Students raced one another to see how quickly they could get down to the nitty-gritty of the word problems. We weren’t solving the problems – yet.

Then, we were on to Step 2 – Make a Plan . We talked about how this was where we were going to choose which strategy we were going to use. We also discussed how this was where we were going to figure out what operation to use. I taught the students Sheila Melton’s operation concept map.

We talked about how if you know the total and know if it is equal or not, that will determine what operation you are doing. So, we took an example problem, such as:

Sheldon wants to make a cupcake for each of his 28 classmates. He can make 7 cupcakes with one box of cupcake mix. How many boxes will he need to buy?

We started off by asking ourselves, “Do we know the total?” We know there are a total of 28 classmates. So, yes, we are separating. Then, we ask, “Is it equal?” Yes, he wants to make a cupcake for EACH of his classmates. So, we are dividing: 28 divided by 7 = 4. He will need to buy 4 boxes. (I actually went ahead and solved it here – which is the next step, too.)

Step 3 – Solving the problem . We talked about how solving the problem involves the following:

• taking our time
• working the problem out
• showing all our work
• estimating the answer
• using thinking strategies

We talked specifically about thinking strategies. Just like in reading, there are thinking strategies in math. I wanted students to be aware that sometimes when we are working on a problem, a particular strategy may not be working, and we may need to switch strategies. We also discussed that sometimes we may need to rethink the problem, to think of related content, or to even start over. We discussed these thinking strategies:

• switch strategies or try a different one
• rethink the problem
• think of related content
• decide if you need to make changes
• check your work
• but most important…don’t give up!

To make sure they were getting in practice utilizing these thinking strategies, I gave each group chart paper with a letter from a fellow “student” (not a real student), and they had to give advice on how to help them solve their problem using the thinking strategies above.

Finally, Step 4 – Check It.   This is the step that students often miss. I wanted to emphasize just how important it is! I went over it with them, discussing that when they check their problems, they should always look for these things:

• compare your answer to your estimate
• check for reasonableness
• check your calculations
• add the units
• restate the question in the answer
• explain how you solved the problem

Then, I gave students practice cards. I provided them with example cards of “students” who had completed their assignments already, and I wanted them to be the teacher. They needed to check the work and make sure it was completed correctly. If it wasn’t, then they needed to tell what they missed and correct it.

To demonstrate their understanding of the entire unit, we completed an adorable lap book (my first time ever putting together one or even creating one – I was surprised how well it turned out, actually). It was a great way to put everything we discussed in there.

Once we were all done, students were officially Problem Solving S.T.A.R.S. I just reminded students frequently of this acronym.

Stop – Don’t rush with any solution; just take your time and look everything over.

Think – Take your time to think about the problem and solution.

Act  – Act on a strategy and try it out.

Review – Look it over and see if you got all the parts.

Wow, you are a true trooper sticking it out in this lengthy post! To sum up the majority of what I have written here, I have some problem-solving bookmarks FREE to help you remember and to help your students!

You can grab these problem-solving bookmarks for FREE by clicking here .

You can do any of these ideas without having to purchase anything. However, if you are looking to save some time and energy, then they are all found in my Math Workshop Problem Solving Unit . The unit is for grade three, but it  may work for other grade levels. The practice problems are all for the early third-grade level.

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• ELEMENTARY TEACHING , SOCIAL EMOTIONAL LEARNING IN THE CLASSROOM

SEL Problem Solving: How to Teach Students to be Problem Solvers in 2024

If you are an elementary teacher looking to learn how to help your students solve problems independently, then you found the right place! Problem solving skills prepare kids to face dilemmas and obstacles with confidence. Students who have problem solving skills are more independent than students who do not. In this post, we’ll go into detail about what problem solving skills are and why they are important. In addition, we’ll share tips and ideas for how to teach problem solving skills in an elementary classroom setting. Read all about helping students solve problems in and out of the classroom below!

What Does Solving Problems Mean?

Solving problems means brainstorming solutions to the problem after identifying and analyzing the problem and why it occurred. It is important to brainstorm different solutions by looking at all angles of the problem and creating a list of possible solutions. Then you can pick the solution that fits the best.

Why is it Important for Kids to Solve Problems?

It is important for kids to solve problems by brainstorming different solutions so that they can pick the best solution. This teaches them that there can be many different solutions to a problem and they vary in effectiveness. Teaching kids to solve problems helps them be independent in making choices. 

How Do I Know If I Need to Teach Problem Solving in My Classroom?

The students in your 1st, 2nd, 3rd, 4th or 5th grade classroom would benefit from problem solving lessons and activities if any of these statements are true:

• Student confidence is lacking.
• Students are getting into conflicts with each other.
• They come to you to solve problems they could have solved on their own.
• Students are becoming easily frustrated.
• Recess is a hard time for your class.

5 Reasons To Promote Problem Solving In Your Elementary Classroom

Below are 5 reasons to promote problem solving in your elementary classroom.

1. Problem solving builds confidence 

Students’ confidence will grow as they learn problem solving skills because they will believe in their own abilities to solve problems. The more experience they have using their problem solving skills, the more confident they will become. Instead of going to others to solve problems for them, they will look inside themselves at their own abilities. 

2. Problem solving creates stronger friendships

Students who can problem solve create stronger friendships because they won’t let arguments or running into issues stop them from being friends with a person. Instead they work with their friend to get through their problem together and get through the bump in the road, instead of giving up on the friendship. 

3. Problem solving skills increase emotional intelligence 

Having emotional intelligence is incredibly helpful when solving problems. As students learn problem solving skills, they will use emotional intelligence to think about the feelings of others involved in the conflict. They will also think about how the problem is affecting others. 

4. Problem solving skills create more independent kids

Students who can problem solve become more independent than kids who cannot because they will try to solve their problems first instead of going to an adult. They won’t look at adults as being the only people who can solve their problems. They will be equipped with the skill set to tackle the problems they are experiencing by themselves or with peers. However, it is important to make the distinction with kids between problems they can solve on their own and problems they need an adult for. 

5. Teaching problem solving skills causes students to be more reflective 

Reflecting is part of the problem solving process. Students need to reflect on the problem and what caused it when deciding how to solve the problem. Once students choose the best solution to their problem, they need to reflect on whether or not the solution was effective. 

5 Tips and Ideas for Teaching Problem Solving Skills 

Below are tips and ideas for teaching problem solving.

1. Read Aloud Picture Books about Problem Solving Skills 

Picture books are a great way to introduce and teach an SEL topic. It gets students thinking about the topic and activating their background knowledge. Check out this list of picture books for teaching problem solving skills !

2. Watch Videos about Problem Solving Skills 

There are tons of free online videos out there that promote social emotional learning. It’s a fun and engaging way to teach SEL skills that your students will enjoy. Check out these videos for teaching problem solving skills !

3. Explicitly Teach Vocabulary Related to Problem Solving Skills 

Vocabulary words can help students develop understanding of problem solving and create connections through related words. Our problem solving SEL unit includes ten vocabulary cards with words related to the SEL topic. It is important for students to be able to see, hear, and use relevant vocabulary while learning. One idea for how to use them is to create an SEL word wall as students learn the words.

4. Provide Practice Opportunities

When learning any skill, students need time to practice. Social emotional learning skills are no different! Our problem solving SEL unit includes scenario cards, discussion cards, choice boards, games, and much more. These provide students with opportunities to practice the skills independently, with partners or small groups, or as a whole class.

5. Integrate Other Content Areas

Integrating other content areas with this topic is a great way to approach this SEL topic. Our problem solving SEL unit includes reading, writing, and art activities.

Skills Related to Problem Solving

Problem-solving, in the context of social emotional learning (SEL) or character education, refers to the process of identifying, analyzing, and resolving challenges or obstacles in a thoughtful and effective manner. While “problem-solving” is the commonly used term, there are other words and phrases that can convey a similar meaning. These alternative words highlight different aspects of finding solutions, critical thinking, and decision-making. Here are some other words used in the context of problem-solving:

• Troubleshooting: Identifying and resolving problems or difficulties by analyzing their root causes.
• Critical thinking: Applying logical and analytical reasoning to evaluate and solve problems.
• Decision-making: Considering options and making choices to address and solve problems effectively.
• Analytical problem-solving: Using data, evidence, and systematic thinking to address challenges and find solutions.
• Creative problem-solving: Generating innovative ideas and approaches to overcome obstacles and find solutions.
• Resourcefulness: Finding effective solutions using available resources and thinking outside the box.
• Solution-oriented: Focusing on identifying and implementing solutions rather than dwelling on problems.
• Adaptability: Adjusting strategies and approaches to fit changing circumstances and overcome challenges.
• Strategic thinking: Planning and organizing actions to achieve desired outcomes and resolve problems.
• Systems thinking: Considering the interconnectedness and relationships between different elements when solving problems.

These terms encompass the concept of problem-solving and reflect the qualities of critical thinking, decision-making, and finding effective solutions within the context of social emotional learning (SEL) or character education.

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5 Teaching Mathematics Through Problem Solving

Janet Stramel

In his book “How to Solve It,” George Pólya (1945) said, “One of the most important tasks of the teacher is to help his students. This task is not quite easy; it demands time, practice, devotion, and sound principles. The student should acquire as much experience of independent work as possible. But if he is left alone with his problem without any help, he may make no progress at all. If the teacher helps too much, nothing is left to the student. The teacher should help, but not too much and not too little, so that the student shall have a reasonable share of the work.” (page 1)

What is a problem  in mathematics? A problem is “any task or activity for which the students have no prescribed or memorized rules or methods, nor is there a perception by students that there is a specific ‘correct’ solution method” (Hiebert, et. al., 1997). Problem solving in mathematics is one of the most important topics to teach; learning to problem solve helps students develop a sense of solving real-life problems and apply mathematics to real world situations. It is also used for a deeper understanding of mathematical concepts. Learning “math facts” is not enough; students must also learn how to use these facts to develop their thinking skills.

According to NCTM (2010), the term “problem solving” refers to mathematical tasks that have the potential to provide intellectual challenges for enhancing students’ mathematical understanding and development. When you first hear “problem solving,” what do you think about? Story problems or word problems? Story problems may be limited to and not “problematic” enough. For example, you may ask students to find the area of a rectangle, given the length and width. This type of problem is an exercise in computation and can be completed mindlessly without understanding the concept of area. Worthwhile problems  includes problems that are truly problematic and have the potential to provide contexts for students’ mathematical development.

There are three ways to solve problems: teaching for problem solving, teaching about problem solving, and teaching through problem solving.

Teaching for problem solving begins with learning a skill. For example, students are learning how to multiply a two-digit number by a one-digit number, and the story problems you select are multiplication problems. Be sure when you are teaching for problem solving, you select or develop tasks that can promote the development of mathematical understanding.

Teaching about problem solving begins with suggested strategies to solve a problem. For example, “draw a picture,” “make a table,” etc. You may see posters in teachers’ classrooms of the “Problem Solving Method” such as: 1) Read the problem, 2) Devise a plan, 3) Solve the problem, and 4) Check your work. There is little or no evidence that students’ problem-solving abilities are improved when teaching about problem solving. Students will see a word problem as a separate endeavor and focus on the steps to follow rather than the mathematics. In addition, students will tend to use trial and error instead of focusing on sense making.

Teaching through problem solving  focuses students’ attention on ideas and sense making and develops mathematical practices. Teaching through problem solving also develops a student’s confidence and builds on their strengths. It allows for collaboration among students and engages students in their own learning.

Consider the following worthwhile-problem criteria developed by Lappan and Phillips (1998):

• The problem has important, useful mathematics embedded in it.
• The problem requires high-level thinking and problem solving.
• The problem contributes to the conceptual development of students.
• The problem creates an opportunity for the teacher to assess what his or her students are learning and where they are experiencing difficulty.
• The problem can be approached by students in multiple ways using different solution strategies.
• The problem has various solutions or allows different decisions or positions to be taken and defended.
• The problem encourages student engagement and discourse.
• The problem connects to other important mathematical ideas.
• The problem promotes the skillful use of mathematics.
• The problem provides an opportunity to practice important skills.

Of course, not every problem will include all of the above. Sometimes, you will choose a problem because your students need an opportunity to practice a certain skill.

Key features of a good mathematics problem includes:

• It must begin where the students are mathematically.
• The feature of the problem must be the mathematics that students are to learn.
• It must require justifications and explanations for both answers and methods of solving.

Problem solving is not a  neat and orderly process. Think about needlework. On the front side, it is neat and perfect and pretty.

But look at the b ack.

It is messy and full of knots and loops. Problem solving in mathematics is also like this and we need to help our students be “messy” with problem solving; they need to go through those knots and loops and learn how to solve problems with the teacher’s guidance.

When you teach through problem solving , your students are focused on ideas and sense-making and they develop confidence in mathematics!

Mathematics Tasks and Activities that Promote Teaching through Problem Solving

Choosing the Right Task

Selecting activities and/or tasks is the most significant decision teachers make that will affect students’ learning. Consider the following questions:

• Teachers must do the activity first. What is problematic about the activity? What will you need to do BEFORE the activity and AFTER the activity? Additionally, think how your students would do the activity.
• What mathematical ideas will the activity develop? Are there connections to other related mathematics topics, or other content areas?
• Can the activity accomplish your learning objective/goals?

Low Floor High Ceiling Tasks

By definition, a “ low floor/high ceiling task ” is a mathematical activity where everyone in the group can begin and then work on at their own level of engagement. Low Floor High Ceiling Tasks are activities that everyone can begin and work on based on their own level, and have many possibilities for students to do more challenging mathematics. One gauge of knowing whether an activity is a Low Floor High Ceiling Task is when the work on the problems becomes more important than the answer itself, and leads to rich mathematical discourse [Hover: ways of representing, thinking, talking, agreeing, and disagreeing; the way ideas are exchanged and what the ideas entail; and as being shaped by the tasks in which students engage as well as by the nature of the learning environment].

The strengths of using Low Floor High Ceiling Tasks:

• Allows students to show what they can do, not what they can’t.
• Provides differentiation to all students.
• Promotes a positive classroom environment.
• Advances a growth mindset in students
• Aligns with the Standards for Mathematical Practice

Examples of some Low Floor High Ceiling Tasks can be found at the following sites:

• YouCubed – under grades choose Low Floor High Ceiling
• NRICH Creating a Low Threshold High Ceiling Classroom
• Inside Mathematics Problems of the Month

Math in 3-Acts

Math in 3-Acts was developed by Dan Meyer to spark an interest in and engage students in thought-provoking mathematical inquiry. Math in 3-Acts is a whole-group mathematics task consisting of three distinct parts:

Act One is about noticing and wondering. The teacher shares with students an image, video, or other situation that is engaging and perplexing. Students then generate questions about the situation.

In Act Two , the teacher offers some information for the students to use as they find the solutions to the problem.

Act Three is the “reveal.” Students share their thinking as well as their solutions.

“Math in 3 Acts” is a fun way to engage your students, there is a low entry point that gives students confidence, there are multiple paths to a solution, and it encourages students to work in groups to solve the problem. Some examples of Math in 3-Acts can be found at the following websites:

• Dan Meyer’s Three-Act Math Tasks
• Graham Fletcher3-Act Tasks ]
• Math in 3-Acts: Real World Math Problems to Make Math Contextual, Visual and Concrete

Number Talks

Number talks are brief, 5-15 minute discussions that focus on student solutions for a mental math computation problem. Students share their different mental math processes aloud while the teacher records their thinking visually on a chart or board. In addition, students learn from each other’s strategies as they question, critique, or build on the strategies that are shared.. To use a “number talk,” you would include the following steps:

• The teacher presents a problem for students to solve mentally.
• Provide adequate “ wait time .”
• The teacher calls on a students and asks, “What were you thinking?” and “Explain your thinking.”
• For each student who volunteers to share their strategy, write their thinking on the board. Make sure to accurately record their thinking; do not correct their responses.
• Invite students to question each other about their strategies, compare and contrast the strategies, and ask for clarification about strategies that are confusing.

“Number Talks” can be used as an introduction, a warm up to a lesson, or an extension. Some examples of Number Talks can be found at the following websites:

• Inside Mathematics Number Talks
• Number Talks Build Numerical Reasoning

Saying “This is Easy”

“This is easy.” Three little words that can have a big impact on students. What may be “easy” for one person, may be more “difficult” for someone else. And saying “this is easy” defeats the purpose of a growth mindset classroom, where students are comfortable making mistakes.

When the teacher says, “this is easy,” students may think,

• “Everyone else understands and I don’t. I can’t do this!”
• Students may just give up and surrender the mathematics to their classmates.
• Students may shut down.

Instead, you and your students could say the following:

• “I think I can do this.”
• “I have an idea I want to try.”
• “I’ve seen this kind of problem before.”

Tracy Zager wrote a short article, “This is easy”: The Little Phrase That Causes Big Problems” that can give you more information. Read Tracy Zager’s article here.

Using “Worksheets”

Do you want your students to memorize concepts, or do you want them to understand and apply the mathematics for different situations?

What is a “worksheet” in mathematics? It is a paper and pencil assignment when no other materials are used. A worksheet does not allow your students to use hands-on materials/manipulatives [Hover: physical objects that are used as teaching tools to engage students in the hands-on learning of mathematics]; and worksheets are many times “naked number” with no context. And a worksheet should not be used to enhance a hands-on activity.

Students need time to explore and manipulate materials in order to learn the mathematics concept. Worksheets are just a test of rote memory. Students need to develop those higher-order thinking skills, and worksheets will not allow them to do that.

One productive belief from the NCTM publication, Principles to Action (2014), states, “Students at all grade levels can benefit from the use of physical and virtual manipulative materials to provide visual models of a range of mathematical ideas.”

You may need an “activity sheet,” a “graphic organizer,” etc. as you plan your mathematics activities/lessons, but be sure to include hands-on manipulatives. Using manipulatives can

• Provide your students a bridge between the concrete and abstract
• Serve as models that support students’ thinking
• Provide another representation
• Support student engagement
• Give students ownership of their own learning.

Adapted from “ The Top 5 Reasons for Using Manipulatives in the Classroom ”.

any task or activity for which the students have no prescribed or memorized rules or methods, nor is there a perception by students that there is a specific ‘correct’ solution method

should be intriguing and contain a level of challenge that invites speculation and hard work, and directs students to investigate important mathematical ideas and ways of thinking toward the learning

involves teaching a skill so that a student can later solve a story problem

when we teach students how to problem solve

teaching mathematics content through real contexts, problems, situations, and models

a mathematical activity where everyone in the group can begin and then work on at their own level of engagement

20 seconds to 2 minutes for students to make sense of questions

Mathematics Methods for Early Childhood Copyright © 2021 by Janet Stramel is licensed under a Creative Commons Attribution 4.0 International License , except where otherwise noted.

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Problem solving

Problem solving lesson plan

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Problem Solving: Lesson plan

Problem solving: Presentation slides

Demonstrating your skills quick fire activity

Problem solving in practice: Interactive worksheet

Our problem solving content focuses on one of these skills and develops understanding of the six stages of problem solving, as well as identifying different types of situations in which young people might already be using these skills. Furthermore, it encourages them to use an adaptive approach, explaining that different types of problems can be approached in different ways.

The activities on this page support your teaching of these skills through an independent activity, quick activities or a full length, curriculum-linked lesson plan. 

Teaching resources:

• Problem solving: Lesson plan and presentation slides – full lesson plan including icebreaker for use with a group of students in the classroom
• Demonstrating your skills: Quick-fire activity  – 10 minute activity for a group of students in the classroom, can be used as an icebreaker for the lesson plan
• Problem solving in practice: Interactive worksheet – activity for independent learning whether remote or in class

Lesson plan

(60 -75 minutes)

This lesson is designed to equip young people with an adaptable approach to solving problems, large or small. It includes a short film and scenarios that encourage development of practical problem solving skills which can be useful for learning, day to day life, and when in employment.

By the end of the lesson, students will be able to:

• Identify problems of different scales and what is needed to solve them
• Illustrate the use of an adaptable approach to solving problems
• Understand that problem solving is a core transferable skill and identify its usefulness in a work setting
• Work on a problem solving activity in a team

The lesson aims to reinforce students’ understanding of the potential future applications of this skill as they move into the world of work, particularly in an activity differentiated for an older or more able group on creating new opportunities.

Quick-fire activity

(5 - 10 minutes)

The demonstrating your skills quick-fire activity focuses on helping young people understand the key skills that are needed in the workplace, including the importance of problem solving.

Students will be asked to name the skills being demonstrated in a variety of scenarios, and identify ways they’re already using those skills in this short activity.

You might find it useful as a starter or icebreaker activity to begin a lesson, or at the end to allow students to put what they have just learnt in the Problem solving lesson into practice.

Interactive worksheet

(20 - 25 minutes)

Please note that students below the age of 14 cannot sign up for their own LifeSkills account. Any independent tasks must be printed or downloaded and provided digitally for them to complete as they are currently hosted on educator pages.

The Problem solving in practice interactive worksheet introduces some of the themes from the full lesson plan and gives students some practical strategies for problem solving, including introducing the six stages of problem solving. The worksheet can be printed or completed digitally, so can be used flexibly to give students practise putting their problem solving skills into action. You might choose to assign it:

• As homework following the Problem solving lesson
• For independent study
• For remote learning

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Other lessons that may prove useful for students to build on these activities include the  Adaptability  and  Innovation and idea generation  lessons. Alternatively, consider encouraging them to apply their skills through  Steps to starting a business  or the  Social action toolkit .

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The Protesters and the President

Over the past week, thousands of students protesting the war in gaza have been arrested..

This transcript was created using speech recognition software. While it has been reviewed by human transcribers, it may contain errors. Please review the episode audio before quoting from this transcript and email [email protected] with any questions.

From “New York Times,” I’m Michael Barbaro. This is “The Daily.”

Free, free, Palestine!

Free, free Palestine!

Free, free, free Palestine!

Over the past week, what had begun as a smattering of pro-Palestinian protests on America’s college campuses exploded into a nationwide movement —

United, we’ll never be defeated!

— as students at dozens of universities held demonstrations, set up encampments, and at times seized academic buildings.

[PROTESTERS CLAMORING]:

response, administrators at many of those colleges decided to crack down —

Do not throw things at our officers. We will use chemical munitions that include gas.

— calling in local police to carry out mass detentions and arrests. From Arizona State —

In the name of the state of Arizona, I declare this gathering to be a violation of —

— to the University of Georgia —

— to City College of New York.

[PROTESTERS CHANTING, “BACK OFF”]:

As of Thursday, police had arrested 2,000 students on more than 40 campuses. A situation so startling that President Biden could no longer ignore it.

Look, it’s basically a matter of fairness. It’s a matter of what’s right. There’s the right to protest, but not the right to cause chaos.

Today, my colleagues Jonathan Wolfe and Peter Baker on a history-making week. It’s Friday, May 3.

Jonathan, as this tumultuous week on college campuses comes to an end, it feels like the most extraordinary scenes played out on the campus of the University of California Los Angeles, where you have been reporting. What is the story of how that protest started and ultimately became so explosive?

So late last week, pro-Palestinian protesters set up an encampment at the University of California, Los Angeles.

From the river to the sea!

Palestine will be free!

Palestine —

It was right in front of Royce Hall, which I don’t know if you are familiar with UCLA, but it’s a very famous, red brick building. It’s on all the brochures. And there was two things that stood out about this encampment. And the first thing was that they barricaded the encampment.

The encampment, complete with tents and barricades, has been set up in the middle of the Westwood campus. The protesters demand —

They have metal grates. They had wooden pallets. And they separated themselves from the campus.

This is kind of interesting. There are controlling access, as we’ve been talking about. They are trying to control who is allowed in, who is allowed out.

They sort of policed the area. So they only would let people that were part of their community, they said, inside.

I’m a UCLA student. I deserve to go here. We paid tuition. This is our school. And they’re not letting me walk in. Why can’t I go? Will you let me go in?

We’re not engaging with that.

Then you can move. Will you move?

And the second thing that stood out about this camp was that it immediately attracted pro-Israel counterprotesters.

And what did the leadership of UCLA say about all of this, the encampment and these counterprotesters?

So the University of California’s approach was pretty unique. They had a really hands-off approach. And they allowed the pro-Palestinian protesters to set up an encampment. They allowed the counterprotesters to happen. I mean, this is a public university, so anyone who wants to can just enter the campus.

So when do things start to escalate?

So there were definitely fights and scuffles through the weekend. But a turning point was really Sunday —

[SINGING IN HEBREW]:

— when this group called the Israeli American Council, they’re a nonprofit organization, organized a rally on campus. The Israeli American Council has really been against these pro-Palestinian protests. They say that they’re antisemitic. So this nonprofit group sets up a stage with a screen really just a few yards from the pro-Palestinian encampment.

We are grateful that this past Friday, the University of California, stated that they will continue to oppose any calls for boycott and divestment from Israel!

[PROTESTERS CHEERING]

And they host speakers and they held prayers.

Jewish students, you’re not alone! Oh, you’re not alone! We are right here with you! And we’re right here with you in until —

[WORDLESS SINGING]:

And then lots of other people start showing up. And the proximity between protesters and counterprotesters and even some agitators, makes it really clear that something was about to happen.

And what was that? What ended up happening?

On Monday night, a group of about 60 counterprotesters tried to breach the encampment there. And the campus police had to break it up. And things escalated again on Tuesday.

They stormed the barricades and it’s a complete riot.

[PROTESTER SHOUTING]:

Put it down! Put it down! Put it down!

I went to report on what happened just a few hours after it ended.

And I spoke to a lot of protesters. And I met one demonstrator, Marie.

Yeah, my first name is Marie. M-A-R-I-E. Last name, Salem.

And Marie described what happened.

So can you just tell me a little bit about what happened last night?

Last night, we were approached by over a hundred counterprotesters who were very mobilized and ready to break into camp. They proceeded to try to breach our barricades extremely violently.

Marie said it started getting out of hand when counterprotesters started setting off fireworks towards the camp.

They had bear spray. They had Mace. They were throwing wood and spears. Throwing water bottles, continuing fireworks.

So she said that they were terrified. It was just all hands on deck. Everyone was guarding the barricades.

Every time someone experienced the bear spray or Mace or was hit and bleeding, we had some medics in the front line. And then we had people —

And they said that they were just trying to take care of people who were injured.

I mean, at any given moment, there was 5 to 10 people being treated.

So what she described to me sounded more like a battlefield than a college campus.

And it was just a complete terror and complete abandonment of the university, as we also watched private security watch this the entire time on the stairs. And some LAPD were stationed about a football field length back from these counterprotesters, and did not make a single arrest, did not attempt to stop any violence, did not attempt to get in between the two groups. No attempt.

I should say, I spoke to a state authorities and eyewitnesses and they confirmed Marie’s account about what happened that night, both in terms of the violence that took place at the encampment and how law enforcement responded. So in the end, people ended up fighting for hours before the police intervened.

[SOMBER MUSIC]

So in her mind, UCLA’s hands-off approach, which seemed to have prevailed throughout this entire period, ends up being way too hands off in a moment when students were in jeopardy.

That’s right. And so at this point, the protesters in the encampment started preparing for two possibilities. One was that this group of counterprotesters would return and attack them. And the second one was that the police would come and try to break up this encampment.

So they started building up the barricades. They start reinforcing them with wood. And during the day, hundreds of people came and brought them supplies. They brought food.

They brought helmets, goggles, earplugs, saline solution, all sorts of things these people could use to defend themselves. And so they’re really getting ready to burrow in. And in the end, it was the police who came.

[PROTESTERS SHOUTING]:

So Wednesday at 7:00 PM, they made an announcement on top of Royce Hall, which overlooks the encampment —

— administrative criminal actions up to and including arrest. Please leave the area immediately.

And they told people in the encampment that they needed to leave or face arrest.

[DRUM BEATING]: [PROTESTERS CHANTING]

And so as night falls, they put on all this gear that they’ve been collecting, the goggles, the masks and the earplugs, and they wait for the police.

[DRUM BEATING]:

And so the police arrive and station themselves right in front of the encampment. And then at a certain point, they storm the back stairs of the encampment.

[PROTESTERS CHANTING]:

And this is the stairs that the protesters have been using to enter and exit the camp. And they set up a line. And the protesters do this really surprising thing.

The people united!

They open up umbrellas. They have these strobe lights. And they’re flashing them at the police, who just slowly back out of the camp.

[PROTESTERS CHEERING]:

And so at this point, they’re feeling really great. They’re like, we did it. We pushed them out of their camp. And when the cops try to push again on those same set of stairs —

[PROTESTER SHOUTS]:

Hold your ground!

— the protesters organized themselves with all these shields that they had built earlier. And they go and confront them. And so there’s this moment where the police are trying to push up the stairs. And the protesters are literally pushing them back.

Push them back! Push them back!

Push them back!

And at a certain point, dozens of the police officers who were there, basically just turn around and leave.

So how does this eventually come to an end?

So at a certain point, the police push in again. Most of the conflict is centered at the front of these barricades. And the police just start tearing them apart.

[METAL CLANGING]

[CLAMORING]

They removed the front barricade. And in its place is this group of protesters who have linked arms and they’re hanging on to each other. And the police are trying to pull protesters one by one away from this group.

He’s just a student! Back off!

But they’re having a really hard time because there’s so many protesters. And they’re all just hanging on to each other.

We’re moving back now.

So at a certain point, one of the police officers started firing something into the crowd. We don’t exactly know what it was. But it really spooked the protesters.

Stop shooting at kids! Fuck you! Fuck them!

They started falling back. Everyone was really scared. The protesters were yelling, don’t shoot us. And at that point, the police just stormed the camp.

Get back. Get back.

Back up now!

And so after about four hours of this, the police pushed the protesters out of the encampment. They had arrested about 200 protesters. And this was finally over.

And I’m just curious, Jonathan, because you’re standing right there, you are bearing witness to this all, what you were thinking, what your impressions of this were.

I mean, I was stunned. These are mostly teenagers. This is a college campus, an institution of higher learning. And what I saw in front of me looked like a war zone.

[TENSE MUSIC]

The massive barricade, the police coming in with riot gear, and all this violence was happening in front of these red brick buildings that are famous for symbolizing a really open college campus. And everything about it was just totally surreal.

Well, Jonathan, thank you very much. We appreciate it.

Thanks, Michael.

We’ll be right back.

Peter, around 10:00 AM on Thursday morning as the smoke is literally still clearing at the University of California Los Angeles, you get word that President Biden is going to speak.

Right, exactly. It wasn’t on his public schedule. He was about to head to Andrews Air Force base in order to take a trip. And then suddenly, we got the notice that he was going to be addressing the cameras in the Roosevelt Room.

They didn’t tell us what he was going to talk about. But it was pretty clear, I think. Everybody understood that it was going to be about these campus protests, about the growing violence and the clashes with police, and the arrests that the entire country had been watching on TV every night for the past week, and I think that we were watching just that morning with UCLA. And it reached the point where he just had to say something.

And why, in his estimation and those of his advisors, was this the moment that Biden had to say something?

Well, it kind of reached a boiling point. It kind of reached the impression of a national crisis. And you expect to hear your president address it in this kind of a moment, particularly because it’s about his own policy. His policy toward Israel is at the heart of these protests. And he was getting a lot of grief. He was getting a lot of grief from Republicans who were chiding him for not speaking out personally. He hadn’t said anything in about 10 days.

He’s getting a lot of pressure from Democrats, too, who wanted him to come out and be more forceful. It wasn’t enough, in their view, to leave it to his spokespeople to say something. Moderate Democrats felt he needed to come out and take some leadership on this.

And so at the appointed moment, Peter, what does Biden actually say in the Roosevelt Room of the White House?

Good morning.

Before I head to North Carolina, I wanted to speak for a few moments about what’s going on, on our college campuses here.

Well, it comes in the Roosevelt Room and he talks to the camera. And he talks about the two clashing imperatives of American principle.

The first is the right to free speech and for people to peacefully assemble and make their voices heard. The second is the rule of law. Both must be upheld.

One is freedom of speech. The other is the rule of law.

In fact, peaceful protest is in the best tradition of how Americans respond to consequential issues. But, but, neither are we a lawless country.

In other words, what he’s saying is, yes, I support the right of these protesters to come out and object to even my own policy, in effect, is what he’s saying. But it shouldn’t trail into violence.

Destroying property is not a peaceful protest. It’s against the law. Vandalism, trespassing, breaking windows, shutting down campuses —

It shouldn’t trail into taking over buildings and obstructing students from going to class or canceling their graduations.

Threatening people, intimidating people, instilling fear in people is not peaceful protest. It’s against the law.

And he leans very heavily into this idea that what he’s seeing these days goes beyond the line.

I understand people have strong feelings and deep convictions. In America, we respect the right and protect the right for them to express that. But it doesn’t mean anything goes.

It has crossed into harassment and expressions of hate in a way that goes against the national character.

As president, I will always defend free speech. And I will always be just as strong and standing up for the rule of law. That’s my responsibility to you, the American people, and my obligation to the Constitution. Thank you very much.

Right, as I watched the speech, I heard his overriding message to basically be, I, the president of the United States, am drawing a line. These protests and counterprotests, the seizing and defacing of campus buildings, class disruption, all of it, name calling, it’s getting out of hand. That there’s a right way to do this. And what I’m seeing is the wrong way to do it and it has to stop.

That’s exactly right. And as he’s wrapping up, reporters, of course, ask questions. And the first question is —

Mr. President, have the protests forced you to reconsider any of the policies with regard to the region?

— will this change your policy toward the war in Gaza? Which, of course, is exactly what the protesters want. That’s the point.

And he basically says —

— no. Just one word, no.

Right. And that felt kind of important, as brief and fleeting as it was, because at the end of the day, what he’s saying to these protesters is, I’m not going to do what you want. And basically, your protests are never going to work. I’m not going to change the US’s involvement in this war.

Yeah, that’s exactly right. He is saying, I’m not going to be swayed by angry people in the streets. I’m going to do what I think is right when it comes to foreign policy. Now, what he thinks is that they’re not giving him enough credit for trying to achieve what they want, which is an end of the war.

He has been pressuring Israel and Hamas to come to a deal for a ceasefire that will, hopefully, in his view, would then lead to a more enduring end of hostilities. But, of course, this deal hasn’t gone anywhere. Hamas, in particular, seems to be resisting it. And so the president is left with a policy of arming Israel without having found a way yet to stop the war.

Right. I wonder, though, Peter, if we’re being honest, don’t these protests, despite what Biden is saying there, inevitably exert a kind of power over him? Becoming one of many pressures, but a pressure nonetheless that does influence how he thinks about these moments. I mean, here he is at the White House devoting an entire conversation to the nation to these campus protests.

Well, look, he knows this feeds into the political environment in which he’s running for re-election, in which he basically has people who otherwise might be his supporters on the left disenchanted with him. And he knows that there’s a cost to be paid. And that certainly, obviously, is in his head as he’s thinking about what to do.

But I think his view of the war is changing by the day for all sorts of reasons. And most of them having to do with realities on the ground. He has decided that Israel has gone far enough, if not too far, in the way it has conducted this operation in Gaza.

He is upset about the humanitarian crisis there. And he’s looking for a way to wrap all this up into a move that would move to peacemaking, beginning to get the region to a different stage, maybe have a deal with the Saudis to normalize relations with Israel in exchange for some sort of a two-state solution that would eventually resolve the Palestinian issue at its core.

So I think it’s probably fair to say that the protests won’t move him in an immediate kind of sense. But they obviously play into the larger zeitgeist of the moment. And I also think it’s important to know who Joe Biden is at heart.

Explain that.

He’s not drawn to activism. He was around in 1968, the last time we saw this major conflagration at Columbia University, for instance. At the time, Joe Biden was a law student in Syracuse, about 250 miles away. And he was an institutionalist even then.

He was just focused on his studies. He was about to graduate. He was thinking about the law career. And he didn’t really have much of an affinity, I think, for his fellow students of that era, for their activist way of looking at things.

He tells a story in his memoir about walking down a street in Syracuse one day to go to the pizza shop with some friends. And they walk by the administration building. And they see people hanging out of the windows. They’re hanging SDS banners. That’s the Students for a Democratic Society, which was one of the big activist groups of the era.

And he says, they were taking over the building. And we looked up and said, look at those assholes. That’s how far apart from the antiwar movement I was. That’s him writing in his memoir.

So to a young Joe Biden, those who devote their time and their energy to protesting the war are, I don’t need to repeat the word twice, but they’re losers. They’re not worth his time.

Well, I think it’s the tactics they’re using more than the goals that he disagreed with. He would tell you he disagreed with the Vietnam War. He was for civil rights. But he thought that taking over a building was performative, was all about getting attention, and that there was a better way, in his view, to do it.

He was somebody who wanted to work inside the system. He said in an interview quite a few years back, he says, look, I was wearing sports coats in that era. He saw himself becoming part of the system, not somebody trying to tear it down.

And so how should we think about that Joe Biden, when we think about this Joe Biden? I mean, the Joe Biden who, as a young man, looked upon antiwar protesters with disdain and the one who is now president and his very own policies have inspired such ferocious campus protests?

Yeah, that Joe Biden, the 1968 Joe Biden, he could just throw on a sports coat, go to the pizza shop with his friends, make fun of the activists and call them names, and then that’s it. They didn’t have to affect his life. But that’s not what 2024 Joe Biden can do.

Now, wherever he goes, he’s dogged by this. He goes to speeches and people are shouting at him, Genocide Joe! Genocide Joe! He is the target of the same kind of a movement that he disdained in 1968. And so as much as he would like to ignore it or move on or focus on other things, I think this has become a defining image of his year and one of the defining images, perhaps, of his presidency. And 2024 Joe Biden can’t simply ignore it.

Well, Peter, thank you very much. We appreciate it.

[UPBEAT MUSIC]

Here’s what else you need to know today. During testimony on Thursday in Donald Trump’s hush money trial, jurors heard a recording secretly made by Trump’s former fixer, Michael Cohen, in which Trump discusses a deal to buy a woman’s silence. In the recording, Trump asks Cohen about how one payment made by Trump to a woman named Karen McDougal would be financed. The recording could complicate efforts by Trump’s lawyers to distance him from the hush money deals at the center of the trial.

A final thing to know, tomorrow morning, we’ll be sending you the latest episode from our colleagues over at “The Interview.” This week, David Marchese talks with comedy star Marlon Wayans about his new stand-up special.

It’s a high that you get when you don’t know if this joke that I’m about to say is going to offend everybody. Are they going to walk out? Are they going to boo me? Are they going to hate this. And then you tell it, and everybody cracks up and you’re like, woo.

Today’s episode was produced by Diana Nguyen, Luke Vander Ploeg, Alexandra Leigh Young, Nina Feldman, and Carlos Prieto. It was edited by Lisa Chow and Michael Benoist. It contains original music by Dan Powell and Marion Lozano, and was engineered by Chris Wood. Our theme music is by Jim Brunberg and Ben Landsverk of Wonderly.

That’s it for “The Daily.” I’m Michael Barbaro. See you on Monday.

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• May 3, 2024   •   25:33 The Protesters and the President
• May 2, 2024   •   29:13 Biden Loosens Up on Weed
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• April 30, 2024   •   27:40 The Secret Push That Could Ban TikTok
• April 29, 2024   •   47:53 Trump 2.0: What a Second Trump Presidency Would Bring
• April 26, 2024   •   21:50 Harvey Weinstein Conviction Thrown Out
• April 25, 2024   •   40:33 The Crackdown on Student Protesters
• April 24, 2024   •   32:18 Is $60 Billion Enough to Save Ukraine?
• April 23, 2024   •   30:30 A Salacious Conspiracy or Just 34 Pieces of Paper?
• April 22, 2024   •   24:30 The Evolving Danger of the New Bird Flu

Hosted by Michael Barbaro

Featuring Jonathan Wolfe and Peter Baker

Produced by Diana Nguyen ,  Luke Vander Ploeg ,  Alexandra Leigh Young ,  Nina Feldman and Carlos Prieto

Edited by Lisa Chow and Michael Benoist

Original music by Dan Powell and Marion Lozano

Engineered by Chris Wood

Listen and follow The Daily Apple Podcasts | Spotify | Amazon Music | YouTube

Warning: this episode contains strong language.

Over the past week, students at dozens of universities held demonstrations, set up encampments and, at times, seized academic buildings. In response, administrators at many of those colleges decided to crack down and called in the local police to detain and arrest demonstrators.

As of Thursday, the police had arrested 2,000 people across more than 40 campuses, a situation so startling that President Biden could no longer ignore it.

Jonathan Wolfe, who has been covering the student protests for The Times, and Peter Baker, the chief White House correspondent, discuss the history-making week.

On today’s episode

Jonathan Wolfe , a senior staff editor on the newsletters team at The New York Times.

Peter Baker , the chief White House correspondent for The New York Times covering President Biden and his administration.

Background reading

As crews cleared the remnants of an encampment at U.C.L.A., students and faculty members wondered how the university could have handled protests over the war in Gaza so badly .

Biden denounced violence on campus , breaking his silence after a rash of arrests.

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The Daily is made by Rachel Quester, Lynsea Garrison, Clare Toeniskoetter, Paige Cowett, Michael Simon Johnson, Brad Fisher, Chris Wood, Jessica Cheung, Stella Tan, Alexandra Leigh Young, Lisa Chow, Eric Krupke, Marc Georges, Luke Vander Ploeg, M.J. Davis Lin, Dan Powell, Sydney Harper, Mike Benoist, Liz O. Baylen, Asthaa Chaturvedi, Rachelle Bonja, Diana Nguyen, Marion Lozano, Corey Schreppel, Rob Szypko, Elisheba Ittoop, Mooj Zadie, Patricia Willens, Rowan Niemisto, Jody Becker, Rikki Novetsky, John Ketchum, Nina Feldman, Will Reid, Carlos Prieto, Ben Calhoun, Susan Lee, Lexie Diao, Mary Wilson, Alex Stern, Dan Farrell, Sophia Lanman, Shannon Lin, Diane Wong, Devon Taylor, Alyssa Moxley, Summer Thomad, Olivia Natt, Daniel Ramirez and Brendan Klinkenberg.

Our theme music is by Jim Brunberg and Ben Landsverk of Wonderly. Special thanks to Sam Dolnick, Paula Szuchman, Lisa Tobin, Larissa Anderson, Julia Simon, Sofia Milan, Mahima Chablani, Elizabeth Davis-Moorer, Jeffrey Miranda, Renan Borelli, Maddy Masiello, Isabella Anderson and Nina Lassam.

Jonathan Wolfe is a senior staff editor on the newsletters team at The Times. More about Jonathan Wolfe

Peter Baker is the chief White House correspondent for The Times. He has covered the last five presidents and sometimes writes analytical pieces that place presidents and their administrations in a larger context and historical framework. More about Peter Baker

Luke Vander Ploeg is a senior producer on “The Daily” and a reporter for the National Desk covering the Midwest. More about Luke Vander Ploeg

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