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Health and medicine
Course: health and medicine > unit 9.
- Piaget's stages of cognitive development
Problem solving
- Decision making
- Semantic networks and spreading activation
- Intelligence
- Aging and cognitive abilities
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Video transcript
Find Problem, Solve Problem
- Bipolar Disorder
- Therapy Center
- When To See a Therapist
- Types of Therapy
- Best Online Therapy
- Best Couples Therapy
- Best Family Therapy
- Managing Stress
- Sleep and Dreaming
- Understanding Emotions
- Self-Improvement
- Healthy Relationships
- Student Resources
- Personality Types
- Verywell Mind Insights
- 2023 Verywell Mind 25
- Mental Health in the Classroom
- Editorial Process
- Meet Our Review Board
- Crisis Support
Overview of the Problem-Solving Mental Process
Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."
Rachel Goldman, PhD FTOS, is a licensed psychologist, clinical assistant professor, speaker, wellness expert specializing in eating behaviors, stress management, and health behavior change.
- Identify the Problem
- Define the Problem
- Form a Strategy
- Organize Information
- Allocate Resources
- Monitor Progress
- Evaluate the Results
Frequently Asked Questions
Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue.
The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything they can about the issue and then using factual knowledge to come up with a solution. In other instances, creativity and insight are the best options.
It is not necessary to follow problem-solving steps sequentially, It is common to skip steps or even go back through steps multiple times until the desired solution is reached.
In order to correctly solve a problem, it is often important to follow a series of steps. Researchers sometimes refer to this as the problem-solving cycle. While this cycle is portrayed sequentially, people rarely follow a rigid series of steps to find a solution.
The following steps include developing strategies and organizing knowledge.
1. Identifying the Problem
While it may seem like an obvious step, identifying the problem is not always as simple as it sounds. In some cases, people might mistakenly identify the wrong source of a problem, which will make attempts to solve it inefficient or even useless.
Some strategies that you might use to figure out the source of a problem include :
- Asking questions about the problem
- Breaking the problem down into smaller pieces
- Looking at the problem from different perspectives
- Conducting research to figure out what relationships exist between different variables
2. Defining the Problem
After the problem has been identified, it is important to fully define the problem so that it can be solved. You can define a problem by operationally defining each aspect of the problem and setting goals for what aspects of the problem you will address
At this point, you should focus on figuring out which aspects of the problems are facts and which are opinions. State the problem clearly and identify the scope of the solution.
3. Forming a Strategy
After the problem has been identified, it is time to start brainstorming potential solutions. This step usually involves generating as many ideas as possible without judging their quality. Once several possibilities have been generated, they can be evaluated and narrowed down.
The next step is to develop a strategy to solve the problem. The approach used will vary depending upon the situation and the individual's unique preferences. Common problem-solving strategies include heuristics and algorithms.
- Heuristics are mental shortcuts that are often based on solutions that have worked in the past. They can work well if the problem is similar to something you have encountered before and are often the best choice if you need a fast solution.
- Algorithms are step-by-step strategies that are guaranteed to produce a correct result. While this approach is great for accuracy, it can also consume time and resources.
Heuristics are often best used when time is of the essence, while algorithms are a better choice when a decision needs to be as accurate as possible.
4. Organizing Information
Before coming up with a solution, you need to first organize the available information. What do you know about the problem? What do you not know? The more information that is available the better prepared you will be to come up with an accurate solution.
When approaching a problem, it is important to make sure that you have all the data you need. Making a decision without adequate information can lead to biased or inaccurate results.
5. Allocating Resources
Of course, we don't always have unlimited money, time, and other resources to solve a problem. Before you begin to solve a problem, you need to determine how high priority it is.
If it is an important problem, it is probably worth allocating more resources to solving it. If, however, it is a fairly unimportant problem, then you do not want to spend too much of your available resources on coming up with a solution.
At this stage, it is important to consider all of the factors that might affect the problem at hand. This includes looking at the available resources, deadlines that need to be met, and any possible risks involved in each solution. After careful evaluation, a decision can be made about which solution to pursue.
6. Monitoring Progress
After selecting a problem-solving strategy, it is time to put the plan into action and see if it works. This step might involve trying out different solutions to see which one is the most effective.
It is also important to monitor the situation after implementing a solution to ensure that the problem has been solved and that no new problems have arisen as a result of the proposed solution.
Effective problem-solvers tend to monitor their progress as they work towards a solution. If they are not making good progress toward reaching their goal, they will reevaluate their approach or look for new strategies .
7. Evaluating the Results
After a solution has been reached, it is important to evaluate the results to determine if it is the best possible solution to the problem. This evaluation might be immediate, such as checking the results of a math problem to ensure the answer is correct, or it can be delayed, such as evaluating the success of a therapy program after several months of treatment.
Once a problem has been solved, it is important to take some time to reflect on the process that was used and evaluate the results. This will help you to improve your problem-solving skills and become more efficient at solving future problems.
A Word From Verywell
It is important to remember that there are many different problem-solving processes with different steps, and this is just one example. Problem-solving in real-world situations requires a great deal of resourcefulness, flexibility, resilience, and continuous interaction with the environment.
Get Advice From The Verywell Mind Podcast
Hosted by therapist Amy Morin, LCSW, this episode of The Verywell Mind Podcast shares how you can stop dwelling in a negative mindset.
Follow Now : Apple Podcasts / Spotify / Google Podcasts
You can become a better problem solving by:
- Practicing brainstorming and coming up with multiple potential solutions to problems
- Being open-minded and considering all possible options before making a decision
- Breaking down problems into smaller, more manageable pieces
- Asking for help when needed
- Researching different problem-solving techniques and trying out new ones
- Learning from mistakes and using them as opportunities to grow
It's important to communicate openly and honestly with your partner about what's going on. Try to see things from their perspective as well as your own. Work together to find a resolution that works for both of you. Be willing to compromise and accept that there may not be a perfect solution.
Take breaks if things are getting too heated, and come back to the problem when you feel calm and collected. Don't try to fix every problem on your own—consider asking a therapist or counselor for help and insight.
If you've tried everything and there doesn't seem to be a way to fix the problem, you may have to learn to accept it. This can be difficult, but try to focus on the positive aspects of your life and remember that every situation is temporary. Don't dwell on what's going wrong—instead, think about what's going right. Find support by talking to friends or family. Seek professional help if you're having trouble coping.
Davidson JE, Sternberg RJ, editors. The Psychology of Problem Solving . Cambridge University Press; 2003. doi:10.1017/CBO9780511615771
Sarathy V. Real world problem-solving . Front Hum Neurosci . 2018;12:261. Published 2018 Jun 26. doi:10.3389/fnhum.2018.00261
By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."
Speech is Beautiful
10 Wordless Videos that Teach Problem Solving
Education · Tips
I work in teletherapy, which means that I use a computer to display my materials and activities for my students. I have a couple extremely quiet older elementary students and I decided that video was a way to engage and encourage them to answer questions and retell events. In particular I wanted them to think about solving hypothetical problems. I found 10 WORDLESS videos on YouTube that show interesting problems and make kids think about how to solve a problem — and they have to provide the language!
10 Wordless Videos I Love
- Piper Short Movie — A baby bird finds a way to survive a big wave.
- Ormie the Pig — A pig attempts to get a jar of cookies off of the top of the fridge.
- Let Me In! — Simon’s cat wants to come inside and makes some bad decisions!
- Sweet Cocoon — Figuring out how to fit in your cocoon is hard work.
- Rollin Safari — What would animals be like if they were round?
- Embarked — Should a tree house follow its friend? (minimal English words at the end)
- TV Dinner — What should you do if your cat won’t leave you alone? (Simon’s cat)
- Playmate — An old robot toy wants to play. Will the boy play with it?
- Birds on a Wire — Learn how you should treat others (that are different than you)
- Sticky Tape — What should the cat do when tape is sticking to him? (Simon’s cat)
Since it’s YouTube, so you must preview each video and usually there is an ad in front of it. I would get each video cued up (after the ad) and then share it with students. You will be surprised how much language you will get from your quietest kids as they figure out how to solve the characters’ problems. Enjoy!
If you LOVE wordless videos, check out my other post:
- 10 Absurd Wordless Videos that Teach Describing .
- 10 Wordless Videos for Speech Therapy that Teach Inferencing .
Additionally, I created a line of wordless videos focused on life skills. Check it out here:
- Wordless Life Skills: Recipe Video Series
Can you tell how much I like using video, specifically wordless videos, in my speech therapy sessions? They are a terrific, engaging therapy tool.
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March 30, 2017 at 7:54 am
Dear Sarah I really find this interesting nd liked it lot thnx for u to sharing with us I m also teacher nd from Pakistan
April 5, 2017 at 8:40 am
Thank you for sharing this Sarah! I teach in a dual language program and these videos are exactly what I was looking for.
April 5, 2017 at 10:52 pm
Thank you for letting me know! 🙂
April 5, 2017 at 4:15 pm
Just wanted to point out that the movie “Fat” might not be too appropriate for kids if you pay attention to the details….
Thank you for commenting. The title is off-putting, but when viewed the short, I saw that the animals turn into balloons and float around. If you feel like that is not appropriate for your students, you can omit sharing that with them.
April 7, 2017 at 9:08 pm
I wasn’t meaning the title. I was meaning the part where the cow he was milking floats away and then he ‘milks’ a bull…
31 Best Wordless Videos to Teach Problem Solving
Wordless videos are a fun and entertaining way to get your students learning and talking. Using wordless videos to teach problem-solving is a great way to keep your students stay engaged all while working on their goals.
Who Could Benefit From Wordless Videos?
Students who struggle to solve social problems can benefit from first practicing problem-solving someone else’s problems in a wordless animation, for example, prior to having to solve the social problems in their own lives. It’s easier to identify problems in someone else’s life than it is in your own life.
Ways in Which to Use Voiceless Videos
- Answering wh-questions: Have your students watch the animated short film and then ask them wh-questions.
- Retell a story/sequencing: After watching the films have your students retell or sequence the short film.
- Solving hypothetical problems: Use the following wordless videos to teach problem-solving. Stop the video throughout and have your students identify the problem and a possible solution to the problem. Then you can move on to practice solving problems in real life .
- Predictions/inferences: Stop the video throughout and have your students make predictions and inferences about what might happen next in the film.
Don’t Forget to Grab your Freebie!
Be sure to grab the freebie that goes along with this bundle of wordless videos. The freebie comes with:
- Problem-solving
- A set of wh-questions
- Story retell with predictions
There are 31 sets of the following worksheets.
Before you begin…
- I have watched all of these short animations to make sure they are appropriate. However, please preview the entire video prior to showing your students as you know best what is appropriate for your level of comfort and for your individual students.
- Almost all of these videos show ads prior to the start of the animation short. I suggest cueing up the video prior to showing the video to your students as some ads may not be appropriate.
31 Wordless Videos to Teach Problem Solving
1. t he small shoemaker: 5:32 minutes.
This short is about Mr. Botte’s shoemaker’s shop, and the passionate and skillful shoemaker’s daily life is about to be disturbed as another shoemaker creates a street vendor stall just in front of Mr. Botte’s store!
2. The Sweet Cocoon: 5:57 minutes
End video by 4:55. Please preview the end of this video prior to showing it to your students. I have decided to end this video by 4:55 minutes to avoid the sad ending for some of my students.
This animation is about two insects that decide to help a struggling caterpillar in her metamorphosis process!
3. The Wishgranter: 4:48 minutes
This short film is about a world where wishes are granted by mythical beings that live under fountains. The wish granter is forced to go above ground in order to grant a wish of love.
4. Dustin: 7:45 minutes
This super cute animation is about a pug learning to have a new roommate of an automatic cleaning robot.
5. Rollin’ Safari: 2:01 minutes
Enjoy this fun short film about what the world would be like if animals were round.
6. Piper: 3:20 minutes
Watch a hungry sandpiper hatchling as she ventures from her nest for the first time to dig for food by the shoreline. However, the only problem is that the food is buried under the sand where scary waves roll up onto the shore.
7. Hola Llamingo: 3:52 minutes
Enjoy this film about the beautiful, fleeting friendship between a boy and his pinata which comes to life.
8. Soar: 6:14 minutes
This short film called Soar is about a young girl who must help a tiny boy pilot fly home before it’s too late.
9. Brush A Fox Tale: 3:37 minutes
A young fox who enjoys painting has a crush on his neighbor. When he tries to hide it his other paintings come to life to try to convince him otherwise.
10. Fishing with Sam: 5:53 minutes
A pesky little penguin keeps stealing all the fish from a bear, a seal, and two other penguins, but they disguise a plan to take care of that pesky little penguin.
11. The Box: 7:01 minutes
This animation is about an old man who finds a mouse in his house. He ends up taming the mouse he first wanted to get rid of.
12. Coin Operated: 5:14 minutes
Watch this short film about the life of a young man that spans over 70 years in the life of one naive explorer.
13. Partly Cloudy: 5:49 minutes
Enjoy this super cute film. Everyone knows that it is a stork that delivers babies, but where do the storks get the babies from? The answer comes from the clouds, where cloud people sculpt babies from clouds and bring them to life.
14. Lifted: 5:03 minutes
A cute animation about a young alien who is in training to capture a human but gets overwhelmed with all the switches.
15. Ormie The Pig: 3:52 minutes
This fun short is about a pig named Ormie. Ormie wants a cookie. But they are out of reach…or are they? See Ormie’s attempts to gain the warm sweet taste that is his obsession.
16. Embarked: 4:24 minutes
Watch this super cute short about a treehouse who follows his family even after the young boy moves away.
17. SpellBound: 3:06 minutes
A young girl who is jealous of her sister must save her after writing negative thoughts that unexpectedly transform into monsters.
18. The Birds: 3:25 minutes
An animated short about a group of small birds that make fun of a larger funny-looking bird, but when they try and get rid of the larger funny-looking bird their plan backfires and the large bird is soon laughing at his bullies.
19. A Fox and A Mouse: 6:23 minutes
Enjoy this sweet animation as a lonely fox hunts a mouse – and their relationship evolves as two owls begin to get in the middle of the fox’s hunt!
20. Pigeon Impossible: 6:15 minutes
A newbie secret agent is faced with a problem seldom covered in basic training: what to do when a pigeon gets trapped inside your multi-million dollar, government-issued nuclear briefcase.
21. The Children’s Tree: 1:58 minutes
This short film is about an imaginative little girl, a good-hearted old tree, and a helpful butterfly.
22. Hey Deer: 6:15 minutes
This fun short film is about an adorable, cocoa-drinking deer who is eager to tidy and shovel show in front of his house every day. However, there is a suspicious earthquake every night which causes the mess day by day. Between two cups of cocoa, the amazing truth reveals itself which changes the deer’s life forever…
23. Catch It: 5:25 minutes
A group of meerkats takes care of their beloved and unique fruit but a twist happens when a vulture comes and disturbs their peace of mind.
24. Mouse for Sale: 4:16 minutes
This short is about a lonely mouse in a pet shop, craving to be bought by someone. But he’s got one big problem: his huge ears. The kids entering the store keep laughing at him. Will Snickers find the buddy he so desires, someone who will take him for who he is?
25. One Man Band: 4:02 minutes
Watch this super cute short about a young peasant girl with one coin left when she encounters two competing street performers who’d prefer the coin find its way into their tip jars. The little girl is caught in the middle as a musical duel ensues between the one-man-bands.
26. Dust Buddies: 4:05 minutes
A story about the friendship between two dust bunnies who live peacefully under a couch. When an evil maid comes to clean the house and sucks Fuzz into her vacuum, Lint must overcome his fears and set out to rescue his friend.
27. The Stubborn Donkey: 4:25 minutes
The short film is all about a stubborn donkey who is difficult to move but a bit of greek music just could do the trick.
28. The Egyptian Pyramids: 3:36 minutes
This cute animation is about an archaeologist who is about to discover the secret of the Egyptian Pyramids.
29. Minuscule: 5:09 minutes
The short film revolves around the day-to-day existence of slugs and how a caterpillar tries to blend into the family.
30. Jinky Jenkins and Lucky Lou: 3:52 minutes
When the misfortunate Jenkins and the Lucky Lou run into each other one morning, they find a thrilling and fulfilling change of pace as they hurtle down the hills of San Francisco in an ice cream cart.
31. Can I Stay: 3:48 minutes
This sweet short animation is about an apprehensive homeless girl who must traverse a dangerous, wintry city in order to escape her adorable pursuers.
Get me my Problem Solving Wordless Videos Freebie!
Problem Solving Restorative Justice Graphic Visual :
Use this Flip Book Graphic Visual to help your students solve their conflicts with others and to make things right.
- 1. Identify the Problem: Fill out the scenario by writing down what happened and drawing what happened.
- 2. Have your Student Identify their Feelings: Draw their emotions and write down their thoughts in the thought bubble.
- 3. Have the other Student Involved Identify their Feelings: Draw the other person’s emotions and write down the other person’s thoughts in the thought bubble.
- 4. Make Things Right: Identify how to make things better.
- 5. My Notes: Fill in any additional information you might find helpful to know or remember.
Get your students talking and problem-solving using these super cute wordless animation videos to teach them problem-solving skills. Also, you can use these short videos to teach story retell, sequencing, answering wh-questions, or inferences/predictions. Are your students ready to start solving real-life problems? Be sure to grab the 71+ problem-solving scenarios freebie to get additional problem-solving practice!
Tuesday 7th of February 2023
I have used this resource numerous times. This is amazing! I appreciate you taking the time to create this and for making it free. My students love them. you visuals and graphics are on point. Will you be making more. I would pay for it as I find it worth it and very useful. Some of the other Wordless Video I have seen that I like include: The Present, Snack Attack, Carrot Crazy, and The Bridge. There are others...Please let us know! Thanks again!
Melissa Berg
Wednesday 8th of February 2023
Hi Judith, Thanks so much for reaching out! I'm happy to know you like this resource. I currently don't have another set in the works, but since it is a fan favorite I can definitely add it to my list of ideas for the future. Thanks for the suggestion and additional videos to look into. All my best, Melissa
Monday 7th of November 2022
This is great for my high-functioning autism students!
The Best Handout for Phonological Processing Disorder Therapy - Speech Therapy Store
Monday 11th of May 2020
[…] 31 BEST WORDLESS VIDEOS TO TEACH PROBLEM SOLVING […]
430+ Free Multisyllabic Words List Activity Bundle - Speech Therapy Store
Saturday 2nd of May 2020
108 Free Speech Therapy Wh Questions Printable - Speech Therapy Store
Friday 1st of May 2020
Can you solve NASA's Pi Day 2024 challenge?
Hungry for Pi? Check out NASA's Pi Day challenge and put your wits to the test solving problems just like NASA scientists and engineers.
Happy Pi Day 2024!
Have you ever wondered what it would be like to solve problems for NASA to help with the exploration of other planets in the solar system ?
In celebration of Pi Day 2024 , you can do just that and take the annual NASA Pi Day Challenge . This is a fun way to put on your scientist and engineer thinking cap and try your best at a series of questions all surrounding the mathematical constant, pi.
Related: What is the smallest known planet?
What is pi? If you recall from mathematics class back in grade school, it's approximately 3.14159 and can be used to figure out the circumference of a circle of the volume of a square.
While there are many uses for it in different STEM jobs and fields, it's also very important for engineers and scientists at NASA to help study not just our planet but others across the solar system and even other galaxies .
This challenge is a tradition that has been on-going for the last decade put on by NASA's Jet Propulsion Laboratory's Education Office and features numerous math problems you have to solve using pi.
Get the Space.com Newsletter
Breaking space news, the latest updates on rocket launches, skywatching events and more!
Some of the questions you can answer this year pertain to missions including the Deep Space Optical Communications technology on NASA's Psyche spacecraft , the Double Asteroid Redirection Test (DART) spacecraft, Earth-orbiting satellites, rovers on the Moon, and even the Hubble Space Telescope and James Webb Space Telescope .
— As scientists find real exoplanets, sci-fi writers change their vision of alien worlds
— 10 surprising facts about pi
— Pi Day turns 35: The circle of mathematics needs more diversity, advocates say
So, let's get solving! You can find each of the problems with an accompanying worksheet you can do all your work online and the answers will be posted by NASA so you can check your work!
There are nearly four dozen different questions you can figure out, so try a few or do them all to "cook up" a unique way to get space-y and celebrate Pi Day 2024!
Join our Space Forums to keep talking space on the latest missions, night sky and more! And if you have a news tip, correction or comment, let us know at: [email protected].
Meredith is a regional Murrow award-winning Certified Broadcast Meteorologist and science/space correspondent. She most recently was a Freelance Meteorologist for NY 1 in New York City & the 19 First Alert Weather Team in Cleveland. A self-described "Rocket Girl," Meredith's personal and professional work has drawn recognition over the last decade, including the inaugural Valparaiso University Alumni Association First Decade Achievement Award, two special reports in News 12's Climate Special "Saving Our Shores" that won a Regional Edward R. Murrow Award, multiple Fair Media Council Folio & Press Club of Long Island awards for meteorology & reporting, and a Long Island Business News & NYC TV Week "40 Under 40" Award.
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36 Problem-Solving Products That — Shocker — Actually Don't Cost A Ton
Budget-friendly hacks to handle life's little nitpicks.
BuzzFeed Staff
1. A pack of light-dimming stickers that are a godsend for light sleepers who cannot drift off with that annoying router light shining so brightly.
Check out 'em out in this TikTok .
This game-changing pack comes in a variety of 100-peel-and-stick dimmers shaped to fit lights on most electrical appliances.
Promising review: "Ingenious little idea. I suffer from migraines, so I know how a little LED light can irritate you in an otherwise pitch-black room. This product does a great job of dimming those harsh LED indicators that EVERYTHING seems to have nowadays. They are neat, not unsightly." — Jarom A. Daszko
Get them from Amazon for $1.49 .
2. A two-pack of "flossing toothbrushes" that'll get rid of all that food lodged between your teeth that you know is there but just can't seem to reach. These toothbrushes have multilayer bristles that act like floss and can get into those tiny crevasses.
Mouthwatchers is a small business established by Ronald Plotka, DDS, that specializes in antimicrobial toothbrushes designed to get deeper cleans that even patients with "great" dental hygiene might miss with traditional brush and floss routines.
Here's what one of our editors, Emma Lord , has to say: "I love it just after the first few days of use! I use an electric toothbrush usually, but I feel like I'm getting a much more satisfying clean from these?? Especially because I tend to get yellow stains between my teeth no matter *how* much I floss, and these bristles seem to actually target that a lot more effectively."
Promising review: "I'm amazed at how well this toothbrush cleans my teeth — it definitely gets between the teeth and also more importantly for me, gets in the small, deep crevices in my molars where I always have food stuck and regular toothbrushes couldn't get stuff out. I brush more often (after meals/snacks) because of how effective it is. As stated, definitely go easy around the gums. The bristles feel soft, but will cause your gums to bleed if you use regular pressure. Nice and easy does the trick, SO WELL!" — Jason A.
Get a pair from Amazon for $8.91 (also available as a four-pack ).
3. A foaming garbage disposal cleaner because that odor that you can find in your kitchen is probably coming from the drain and no one wants to stick their hand down there to find out what it is. Just drop this in the disposal, run it, and be amazed by its cleaning power.
Promising review: "Easy to use. I followed directions and it works just like it says. I only use this once every month now. First use I had to do it twice (which it says if it hasn’t been cleaned in a while you may need too). Weekly I follow up with the Glisten garbage disposal freshener and that keeps my disposal working well and smelling great." — Lostbraincell
Get a four-pack from Amazon for $3.78+ (available in two styles and a multipack).
4. A natural shoe deodorizer spray because smelly shoes make smelly feet. This spray, which is made with essential oils and smells of lemon and eucalyptus, will make your toes emerge fresh as daisies.
Promising review: "This product WORKS! You won’t be disappointed. I used to get embarrassed taking off my flats in my office because they smelled so bad, but not anymore! My work flats make my feet sweaty and this spray helps keep the awful odors away at least four to five days (probably longer but I was so excited I just sprayed my shoes again because I liked the smell haha!) The lemon is strong and the eucalyptus I love, so I would purchase again! Although it will likely last a while! I have a little boy who gets sweaty feet also so I’m sure I’ll soon be using this in his shoes also." — Traeannah Brown
Get it from Amazon for $13.95.
5. A CeraVe salicylic acid body wash with more than 20,000 5-star reviews of people praising how it helps exfoliate without the rough, physical microbeads and buffs away bumpy skin while smoothing — thanks to hyaluronic acid and niacinamide.
Promising review: "My 6-year-old daughter has keratosis pilaris, commonly known as 'chicken skin.' This year it really flared up during warm weather so I gave this wash along with lotion a try. Wow, I saw results after just a few uses and after a couple of weeks most of her bumps disappeared. Thrilled we skipped a trip to the dermatologist! Can’t beat this price for the results either." — Ashley Steigerwald
Get it from Amazon for $13.29 .
6. A plant-based cooking oil solidifier that's here to solve the age-old problem of what to do with your cooking oil after you're done making those homemade fries. Now you have a safe and clean way to dispose of the oil — just sprinkle the powder in the oil while it's still hot, let it cool, then plop it in the trash.
FryAway is a woman-owned and Latine-owned small business started by Laura Lady, who loves both cooking and being kind to the planet. They donate 1% of revenue to nonprofits focused on water conservation.
Promising review: "Honestly I didn’t know if this would work, waiting for it to cool down made me nervous, but once it was at room temperature it was solid. It popped out of the fryer so nicely. Worth every penny." — Emma
Get it from Amazon for $12.99 .
7. A marvelous humidifier tank cleaner because now that you think about it, you can't quite remember the last time you cleaned your humidifier. *Thinks really hard*
Promising review: "Just drop this in your humidifier and it keeps the water pretty darn mildew and mold free. Super easy to use, no smell, and safe. I have already repurchased and given a few to other people as well." — Kristine
Get it from Amazon for $5.98 .
8. A bottle of SoCozy curl conditioning spray you'll love every time you breeze through the after-shower bedtime routine with your mini — no more tantrums with this detangling conditioner.
Reviewers say this spray will leave wavy or curly hair (from 2a–4c hair) shiny, soft, and bouncy. And it's free from parabens, sulfates, phthalates, synthetic colors or dyes, propylene glycol, gluten, wheat, and nuts!
Promising review: "This is the BEST product EVER! I will never use another hair detangler ever again. We use this product daily in my house, my daughter, my son, and I. Both of us girls have long and thick curly hair, and it allows us to brush through our hair with no problems! And my son mostly uses it to style his hair before gel, and because it smells so good! We tried a few products from Walmart, Ulta, and Target, and nothing was good enough. This is now on my Subscribe & Save every month! " — Tamira McLelland
Get it from Amazon for $7.59 (also available in a pack of two).
9. A sheet of stick-on sound dampeners that won't disturb your roommates (who aren't early birds like you) when you're rustling around in the kitchen making breakfast.
Promising review: "These work very well to dampen the sounds of my idiot roommates slamming cabinet doors at all hours of the day. Just make sure you're wiping down the part of the cabinet they'll stick to before applying them. The adhesive is good and should hold for a while." — LMA
Get a sheet of 100 from Amazon for $8.58 .
10. A tube of Jack Black Lip Balm that's jam-packed with hydration to revive the chapped and dry skin around your mouth. It works quickly thanks to ingredients like shea butter and vitamin E — plus it has SPF 25, too!
Promising review: "So I have been a loyal Eos fan for quite some time but you constantly have to reapply and honestly my lips are still cracked. I found Jack Black balm from a TikTok video and it has been glorious. I keep reaching for it to reapply and I don't need it. It doesn't feel greasy on my lips but it is a bit sticky? Or waxy. Either way, I don't mind it at all, and it also smells pretty darn good." — Trisha
Get it from Amazon for $10 (available in six flavors and also in packs of three).
11. A pack of AirPods Pro silicone hooks in case I'm not the only one who always loses an ear bud at the most inopportune time. Yes, mine have ended up in the toilet. *hides face* 😝
And they come with a little carrying case!
I recently ordered these little lifesavers, and I have to say I am... forgive me lord for I'm about to pun ...HOOKED. I'm obsessed with my AirPods Pro as they are, I use them every day for calls and music-listening purposes, but can never leave the house with them in fear of them dropping out of my ears. (If I so much as smile or laugh, they fall out!) Well fear no more, because since I've started using these super-reliable silicone hooks, I've taken my Pods on runs and walks with absolutely no sign of slippage. I highly recommend these for anyone else who'd finally like to use their AirPods Pro in peace.
Promising review: "Must have, it works. These are absolutely needed, stop my headphones from falling out, perfect fit. Will save you lots of money from replacing missing headphones. " — Shevy1280
Get a pack of three from Amazon for $15.95+ (also available for the AirPods Pro Gen 2).
12. Or! A pair of AirPod ear hooks for the people who are still repping the first gen AirPods and would like to keep them in their ears instead of on the Subway floor.
Promising review: "These have been a lifesaver while I work outside!! Comfortable. They also seem to be easily adjustable to different size ears." — Kim
Get a pair from Amazon for $10.99+ (available in four colors).
13. A container of the TikTok-famous cleaning putty ideal for those nooks and crannies in your car that never seem to get clean. The best part is that you can reuse it over and over.
Check it out on TikTok here .
Promising review: "This product does exactly what it says it does. I saw this product on TikTok. I was surprised at how easily it picks up dust and small debris, especially from inside of vents and cup holders. It’s also great for the though screen in my car! The only complaint is the very artificial smell when you use it. It doesn’t last, just when it’s out of the container!" — Loren
Get it from Amazon for $6.99 .
14. An easy-to-grip Oxo veggie brush because scrubbing spuds and veggies isn't as easy as it sounds. Thanks to this tiny brush, it can be! I mean...you'll marvel at the difference.
Promising review: "This brush is awesome!! I added some before and after photos of a potato I was scrubbing, and you can see how well the dirt comes off! Very sturdy and durable and the bristles are stiff, which is optimal for cleaning. Easy to hold and does a great job. Definitely recommend!!" — McKinley
Get it from Amazon for $7.99 .
15. A silicone toe cap because if you've ever known the pain of walking around with an ingrown toenail, corn, or blister and having each tiny movement induce pain, then you need this.
Promising review: "This is an unbelievable product! I work 12-hour shifts in the hospital and need protection for the corn on my left great toe . I purchased the size large and it fit well. Underneath my socks and athletic shoes, I completely forgot I was wearing it — bonus! The silicone is very soft and flexible and cleans easily. The product is priced well for the quality and quantity (six) that is provided. Each toe cap is packaged individually in the bag so the order can be shared with others if desired. I would absolutely recommend this since it has held up quite well for the 17 hours I often have it on (from the time I wake up until I am back from my shift). Cleans and dries easily and has maintained its shape." — LJ
Get a set of six from Amazon for $12.99+ (available in two sizes and three colors).
16. A Maybelline concealer complete with a built-in sponge applicator that treats dark circles, puffiness, and fine lines that have settled around your eyes.
Promising reviews: "I swear by this neutralizer! It covers my dark circles incredibly well (and instantly!), and the coverage is still light and never cakey. I love that it dries and sets very fast as well. This will not crease if you are applying it properly on the area. I have tried EVERY under eye-circle product that exists, and this is now my one and only. I can never find it anywhere except for Amazon, and I'm happy that they offer it." — Jasmine
" I bought this after seeing a TikTok, and I am very glad I did. I am NOT a makeup expert — but this product allows anyone at any level to successfully conceal under eyes." — Jennifer
Get it from Amazon for $6.98 (available in 18 shades).
Want to know more? Check out our full Maybelline Instant Age Rewind Eraser Concealer review (#4).
17. A personalized charging cable tag that's available for both iPhone and Android devices, so there will be no more arguing about who took whose charger. Your name will be on it, plain as day.
Delightful Luna is an Etsy shop based in North Carolina. They sell cool 3D-printed accessories, including magnets, keychains, and pen caps.
Promising review: "They are perfect! Now my bf won’t steal my charger anymore. They clip so well!" — Etsy Customer
Get it from Delightful Luna on Etsy for $9 (available in two charger types and 16 colors).
18. And a pack of twisty cable savers invented to extend the life of the wires that power your devices. No more having to bend it in a certain way to keep the charge after the cord has started peeling or splitting.
Promising review: "Easy to put on and saved a ton of money by extending life of chargers. Also used it on my worn-out chargers and they are working better having been externally reinforced by this product." — Amazon Buyer
Get it from Amazon for $5.99+ (available in four color sets).
19. An adorable weekly pill organizer in the shape of a giant pill that unfolds like a tower out of a sci-fi adventure film to help you stay on track with your daily medications and supplements. Reviewers say it isn't just cute but has a lot of room to hold a lot of pills.
This comes with a cylindrical travel case and a 7-day organizer!
Promising review: "Super cute pill holder! I just keep it in my drawer the majority of the time so I don't generally keep the outer shell on it. However, when you do use the outer shell it is completely leakproof for traveling, in your purse, etc. which has been an issue for me in the past. Lots of space for my vitamins!!!" — Jennn
Get it from Amazon for $9.99 .
20. A jar of the Pink Stuff — a beloved viral sensation that'll give you TikTok review-worthy results on some of your dirtiest items.
A lot of people compare it to the Magic Eraser in paste form, so even your weirdest, most stubborn stains will meet their match.
Promising review: "Found this product on TikTok. I don’t think I’ve ever seen value like I do this product! Literally use it on EVERYTHING!! Kids and teens have dirt, grime, and grease on their walls? This will make it look like a new paint job. Baseboards need some love? A pea-sized amount of this makes them look brand-new. Need a shoe cleaner? PERFECT for sneakers. I could name a million more uses, but I can ASSURE you this is worth every penny. What’s more? You need so LITTLE of this product, it will last a VERY long time. Thank you, TikTok! !!" — Rachel in CLT
Get it from Amazon for $4.99 .
21. A couple of memory foam armrest pads that your elbows will thank you for as they rest in cozy office luxury atop these cushions. You might start to enjoy sitting at your desk again.
Promising review: "I was having problems with my elbow being sore from sitting at my chair so much while working from home. I wear T-shirts a lot and my elbows were getting raw and annoyed from resting on the hard plastic arm rests all day. They fit my chair perfectly and from the minute I put them on, they gave me instant relief from the hard plastic arm rests on my chair. I highly recommend them to anyone with similar elbow issues." — BoSoxBrent
Get them from Amazon for $18.99 (available in two colors).
22. A bottle of Eos shea butter shaving cream for our sensitive skin besties who are prone to razor burn. Reviewers say it glides on like lotion but doesn't get super sudsy, so you can still get a super close shave.
Promising review : "I found this on TikTok and decided to try. I have sensitive skin and after using this I had no razor bumps! It’s weird because it doesn’t get sudsy and foamy like regular shaving cream, but this is much more moisturizing and smells great! Will definitely be using from now on." — Luis
Get it from Amazon for $4.79 (available in five scents and in multipacks).
23. A handheld garlic press because mincing garlic has replaced arm day at the gym. This device allows you to simply press and roll for a quick and easy way to get all that garlicky goodness for your next amazing dish. The recipe calls for two cloves, but we'll just eyeball it. The heart knows when it's enough.
Promising review: "If I could give this product more than 5 stars I would. It cuts through and minces garlic easily and is much easier to clean than the traditional garlic press. I bought another one for my mother-in-law and she LOVES it too. She cooks a lot and said it made her life so much easier too." — Mattix
Get it from Amazon for $11.97 .
24. A set of itty-bitty dermaplaning razors that reviewers say is a ~game-changer~ that's easy to use and super effective at removing dead skin and unwanted hair.
Promising reviews: "I saw these on TikTok and was skeptical but they work so well. I use them for any facial peach fuzz and to shape my eyebrows and they're perfect." — Megan Kopicko
"I bought these blades to try at-home dermaplaning. I was nervous at first, but it’s almost impossible to cut yourself with these and it took the peach fuzz right off my face. In fact, as I was staring at my face in a magnifying mirror and removing the fuzz, I noticed my nose hair was a little out of control. I even used one of these in my nose (that’s right) and it worked great! I will be keeping a few of these on hand at all times." — TKB
Get a set of three from Amazon for $5.64 (also available in a set of nine).
25. A pack of medicated, waterproof bandages lauded by reviewers for their ability to conceal, protect, and lift warts from their hiding place. Some people are amazed by the results after just ONE application.
Promising review: "More than six years with a large, sometimes painful plantar wart on the bottom of my foot. The doctor tried freezing. I tried apple cider vinegar, aspirin, freezing at home, over and over again...nothing worked. Never showing the bottom of my feet, refusing to get a pedicure with the girls, and so, so embarrassed...It felt like I was doomed to have it for forever; it was resistant to everything. Literally six years of fighting it and on a whim tried these because of the good reviews. ONE APPLICATION. I wore the bandage overnight. I didn’t think it did anything, but a few days later the wart just came off. I know it’s silly to be so emotional over a stupid wart, but I’m telling you, I nearly cried. I’ve never been so happy with a product in my life. Highly, highly recommend giving these a try if you’ve got stubborn plantar warts." — Liz Dube
Get a 14-pack from Amazon for $7.29 .
26. A bottle of L’Oréal's Wonder Water Lamellar hair treatment that only takes eight seconds to transform your hair from blah to tada! It's practically a magic potion.
Apply this directly to wet hair, avoiding the roots, massage it in for eight seconds, then rinse. Effort required = practically zero. You can use one dose for fine- to medium-textured hair, two to three doses for thick- to curly-textured hair, and add one more dose if you have long hair.
Promising reviews: "I don’t usually do reviews on products, but for this one I absolutely have to. I have 3c type hair and struggle a lot with breakage, unmanageability, and moisture. When my mom mentioned this product to me I didn’t take her seriously because of the simple fact that we have two completely different hair textures. I never would have thought this brand would work on my hair. I have never in my 22 years felt my hair like this. I feel like I have a completely different head of hair. This product is so amazing and I will FOREVER be using this product in my hair regimen. Thank you so much!! ♥️" — Theressa Hailey
"It does exactly what it says...makes your hair soft, shiny, and cooperative! I have given this to two of my friends ALREADY — one with thick and curly hair, the other with limp and fine hair — and THEY BOTH swear by this product! Just can't think of enough good things to say! I have short bleached hair, so am getting excellent results using less than half as much as they recommend. Buy this stuff — you'll thank yourself later!!!!!" — enamelcamel
Get it from Amazon for $9.59 .
27. A pack of detergent cup holders ready to make laundry day just a little easier. These nifty cup holders keep those detergent drips from getting on the floor. Have you ever slipped on a drop of detergent? Well, here's hoping you never do.
Tidy-Cup is a woman-owned small business that was started by Julie Reinhold, who created this drip catcher as a way to stop her economy-sized detergents (which she loved) from dripping all over her laundry room.
Promising review: "I had no idea I needed this until I saw it on TikTok. Listen, it’s the little things that matter. This little thing saves me the headache of a laundry room mess. I love it. Fits perfectly on my liquid detergent. No more messes!" — Christina
Get a set of two from Amazon for $9.99 (also available as a pack of one).
28. A jar of Juno & Co.'s Clean 10 Cleansing Balm in case you're looking for a new makeup remover that'll actually remove all of that residue the first time. Plus, it's made with pearl barley and vitamin E, so you'll have a face feeling super clean and refreshed. Everyone needs an all-natural beauty product to add to their daily routine.
Promising review: "This cleansing balm is phenomenal. I'm highly sensitive to scents and this has a really nice, light citrus scent to it. I can use this on my entire face, including my eyes with no issue. My face feels clean, not tight, not dry or stripped after using this. And the best part might be the price! I hope they never stop producing this stuff, because I'm a customer for life!" — K
Get it from Amazon for $12.34 .
29. A set of durable, double-sided shower hooks that can hold your shower curtain *and* liner together without having to remove the entire hook, which makes switching them out an easy task to check off the to-do list.
Promising review : "I hate changing out the liner on my shower because it meant I had to remove the curtain too. Not anymore! I saw this set of hooks in a TikTok review. Now I can swap out the liner with ease. The hooks also slide on the curtain rod very easily, no tugging." — Christina
Get 12 hooks from Amazon for $6.99+ (available in 12 colors).
30. A super cute glasses display stand just begging to jazz up your nightstand or work desk as your little assistant. Fellow glasses wearers know the struggle of finding your glasses when you wake up but needing to wear them to see where you left them. Now you don't have to search. They have their own adorable home.
Promising review: "I usually store my glasses in their case. I don't know why that's such a hassle, but I like to be able to just reach for them. But they are also unsafe when they are just sitting on my desk. This little koala solves my problem! He holds my glasses securely and does it in the cutest way possible. Now I can sit at my desk, grab my glasses, and get to work with a smile on my face. And at the end of the day, I just leave them with my koala for safe keeping. Seriously, just get one. I haven't lost my glasses once since I got this. " — Bianca
Get it from Amazon for $13.99+ (available in 11 styles).
31. A set of Wad-Free pads because anyone who's ever washed bedding knows the annoyance of twisted, crumpled, wet-in-the-middle sheets that have already gone through the dryer cycle twice. These things will put an end to that travesty once and for all.
Wad-Free is a small biz that was launched during the pandemic. Cyndi, the founder, learned CAD (computer-aided design) to create the pads.
Promising review: Promising review: "THIS ACTUALLY WORKS!!!! I saw a TikTok about these and decided to order. Sheets balling all up in the washer and dryer has been a pet peeve of mine for forever. I was super skeptical of these, but I tried it, and it works as advertised! It’s a little on the expensive side IMO, and that’s kinda holding me back from purchasing a second set, but they really do work." — StrangerThings
Get a pack of two from Amazon for $19.99 (also available in a pack of four).
32. A cradle cap comb for gently removing the dead skin off your tiny human's head. It's made with the softest rubber bristles, so it won't hurt baby when removing the flakes.
New parents, don't panic. Cradle cap — aka seborrheic dermatitis — is a very common dry scalp condition that affects infants.
Promising review: "The pictures posted here are legit. It makes removal so much easier and gives more consistent removal than my previous method of washcloths or just scratching the cradle cap off with my fingernails. It’s amazing and gross and wonderful. My babe doesn’t even flinch when I spend 10 minutes clearing his scalp of all the goo. It seems to be soothing to him. I just apply baby shampoo, then brush a little with the blue brush. Then I slowly start to comb in sections all in one direction. Then I go back and forth in multiple directions. It’s shocking the amount of dead skin that comes off. I’ve even used it successfully in his eyebrows (he gets some cradle cap there, too). This is a KEEPER!" — ZMomUtah
33. A fridge fork for those middle-of-the-day pickle cravings when you just want ONE to scratch that itch. You don't have to worry about dropping your pickle on the ground with this handy fork you can attach to the jar. Genius!
Check out a TikTok of the condiment fork in action.
Promising review: "This is one of my favorite kitchen gizmos, and it doesn't take up room in the drawer! I eat lots of olives, and this keeps me from having to wash or get a clean fork when I'm in the middle of making a salad or just want a snack, and it makes spearing the olives easier, too. It comes with two sizes to fit any jar. (Even though if you need this, I feel like you probably get the big jars, right?). They are stretchy and easy to get on and off. I usually just rinse it between uses and then wash the whole set-up when I open a new jar (which is about weekly)." — Emily
Get it from Amazon for $8.99 .
34. A podiatrist-level toenail clipper for thick toenails that laugh at traditional clippers. They're also helpful for digging out those ingrown toenails before they become infected.
Here's why my BuzzFeed Shopping colleague Emma Lord loves this thing: "Hello, my toenails are problem children for two reasons: One is that they're kinda thick, the other is that I'm a long-distance runner, which doesn't play nice with toenails. I bought this recently and the difference it made immediately was ENORMOUS. Like I usually dread approaching my big toenails because they are so thick, but these painlessly and seamlessly lobbed the tops right off; I was also able to ~gently correct~ a toenail that was starting to get ingrown and help cut down a dead toenail that needed trimming but would have been painful to approach with a regular clipper."
Promising review: "We bought this for our teen grandson to use for an ingrown toenail because he was not able to go to a nail salon that he trusted to fix this problem. It worked perfectly. He was so pleased with the result as it took care of his painful problem! Thank you for making a fantastic product. Every household should own one!" — T.S.
35. A Clean Ball that features a sticky inner sphere that'll roll around your purse and capture crumbs, debris, and hair. The best part? It's reusable! Just run it under water, and it's ready to use again.
Promising review: "These are THE BEST. they collect so much dirt and dust from my tote bag and keep everything clean. Super small and easy to clean as well!!" – SueMagoo29
Get it from Amazon for $11.99 (available in three colors).
36. A faucet splash catcher ready to absorb the splashes and leaks that come your way while washing dishes. You'll be surprised by the amount of paper towels you save after cleaning the kitchen.
Hustle Sew Shop is a small business based in Saint Helens, Oregon that hand-makes goods like face masks, scrunchies, and home products. This faucet splash catcher is machine washable, which is one of the many reasons it's so popular.
Promising review: "LOVE these splash catchers! They save me from having to chase the puddles that form around the base of our faucet before they start creeping over the counter. So reasonably priced, made well with neatly finished edges, and packaged with gift-ready care." — Alina
Get it from Hustle Sew Shop on Etsy for $13.50+ (available in four sizes and six colors).
The reviews for this post have been edited for length and clarity.
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We offer hundreds of free videos featuring AoPS founder Richard Rusczyk. Below are videos aligned to our Prealgebra text, the first half of our Introduction to Algebra text, and our Introduction to Counting & Probability text. We also regularly produce MATHCOUNTS Minis featuring problems from State-level MATHCOUNTS competitions, as well as ...
Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue. The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything ...
Art of Problem Solving offers a wide variety of free resources for avid problem solvers, including hundreds of videos and interactive tools like Alcumus, our popular adaptive learning system. Alcumus It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately.
Watch videos on prealgebra and algebra topics corresponding to the Art of Problem Solving course Introduction to Algebra A. Art of Problem Solving AoPS Online. Math texts, online classes, and more for students in grades 5-12. Visit AoPS Online ‚ Books ...
Fuel curiosity that suspends judgment. Wordless videos help us practice essential life skills: Curiosity before judgment. Learning to learn. Seeking understanding. Let's get out of the habit of being told information, absorbing it, memorizing it, and repeating it. Let's learn to learn together.
Examples of algorithms are. 212. 1. Multiple Choice. Latisha's new puppy cries each night when left in her crate. When Latisha picks up the puppy and holds her to her chest, the puppy stops crying and falls asleep. However, after she puts the puppy back in the crate, the crying begins again. After a few nights, Latisha suddenly realizes that ...
A highly sought after skill, learn a simple yet effective four step problem solving process using the concept IDEA to identify the problem, develop solutions...
10 Wordless Videos I Love. Piper Short Movie — A baby bird finds a way to survive a big wave.; Ormie the Pig — A pig attempts to get a jar of cookies off of the top of the fridge.; Let Me In! — Simon's cat wants to come inside and makes some bad decisions! Sweet Cocoon — Figuring out how to fit in your cocoon is hard work.; Rollin Safari — What would animals be like if they were round?
Although problem-solving is a skill in its own right, a subset of seven skills can help make the process of problem-solving easier. These include analysis, communication, emotional intelligence, resilience, creativity, adaptability, and teamwork. 1. Analysis. As a manager, you'll solve each problem by assessing the situation first.
31 Wordless Videos to Teach Problem Solving. 1. T he Small Shoemaker: 5:32 minutes. This short is about Mr. Botte's shoemaker's shop, and the passionate and skillful shoemaker's daily life is about to be disturbed as another shoemaker creates a street vendor stall just in front of Mr. Botte's store! 2. The Sweet Cocoon: 5:57 minutes.
When a student or group of students encounters a problem, have them use the four-step problem solving method to overcome it. The four steps can be repeated u...
Problem-solving therapy aims to help individuals adopt a realistically optimistic view of coping, understand the role of emotions more effectively, and creatively develop an action plan geared to reduce psychological distress and enhance well-being. Interventions include psychoeducation, interactive problem-solving exercises, and motivational ...
The guest experts explore techniques that help clients to define problems and then how to decide on and execute effective solutions. The ultimate goal of this stage of therapy is to give the client the tools to think critically and continue to make healthy decisions long after treatment ends. Following each demonstration clip, the three experts ...
Hungry for Pi? Check out NASA's Pi Day challenge and put your wits to the test solving problems just like NASA scientists and engineers.
A short educational video about what psychology tells us about how people solve problems.Three-Glass Problem1983. Chi and Glaser. "Problem Solving Abilities....
Search, watch, and cook every single Tasty recipe and video ever - all in one place! Self care and ideas to help you live a healthier, happier life. ... 36 Problem-Solving Products That ...
Are you facing a challenging situation at work? Ed Muzio, author of "Make Work Great" explains a 7 step solution to effective problem solving.
theaspen-Solving_Industry_s_Dirty_Problem Run time 01:01:39 Scanner Internet Archive Python library 3.6.0 Year 2024 Youtube-height 1080 Youtube-id 20523ULA6jM Youtube-n-entries 7637 Youtube-playlist The Aspen Institute - Videos Youtube-playlist-index 12 Youtube-uploader The Aspen Institute Youtube-uploader-id @aspeninstitute Youtube-view-count 89
Watch the videos corresponding with each chapter of the Art of Problem Solving textbook Introduction to Counting & Probability. Art of Problem Solving AoPS Online. Math texts, online classes, and more for students in grades 5-12. Visit AoPS Online ‚ Books ...
These videos complement the Art of Problem Solving textbook Prealgebra. They are used in our Prealgebra 1 and Prealgebra 2 courses. Art of Problem Solving AoPS Online. Math texts, online classes, and more for students in grades 5-12. Visit AoPS Online ‚ ...