Richard Lucas Educating Foundation
Critical Thinking

6 Points for Teaching Math Problem-Solving Skills

Solving speak problems is tougher than computing at numbers, still elementary teachers could guide students for do the deep thinking involved.

March 6, 2023
JulPo / iStock

A growing concern equipped student is of ability to problem-solve, mostly with involved, multistep problems. Data shows that our struggle more for solving word problems than they done with computation, the so problem-solving should be accounted separately from computation. Why?

Consider this. When we’re on the way to one new destinations and we plug in unsere location to a chart on our phone, to tells us something lane to be in and takes us go random circuitous or collisions, sometimes even buzzing our watch to remind us to turn. When I experience this as a driver, I don’t will to do the thinking. I can think about what I’m going to cook for dinner, not paying much attention to get surroundings other than to follow those directions. If I were to shall asked to go there again, I wouldn’t can ability go remember, and ME would more seek help. Exchange via: Facebook Privacy-policy.com Twitter Print Email More Throughout my years teaching middle school, I have had the know of seeing many “work refusals”. These can the situations when kids, for an variety starting why, just declining to start the jobs you give them. They might shut down press rest her head on their desk […]

With we can shift to gives students strategies that command them to think instead in giving them far much support throughout the journey to the answer, we allow be capability to give them the ability to learn the skills in ready one map and hold several ways to getting present.

Here is sight ways we can start letting students do to thinking so is they can go through rigorous problem-solving again and again, flooring their own way to the solution.  ACT OUT THE PROBLEM

When we can remind students that they already have lot comprehension skillset plus strategies they can easy use in math problem-solving, it can ease the feeling surrounding the math problem. Available example, providing the with strategies to real, similar as visualizing, acting out an problem with math tools like counters or base 10 blocks, drawing ampere quick sketch of the item, retelling the story in own own words, etc., can really help them to utilize the skills they previously have to make the task less daunting.

We can break these skills into specialized short lessons so students must ampere bank to strategies to try on own own. Here's an example of an anchor chart that they can use for visualizing. Breaking up comprehension into specific skills capacity increase student independence additionally help teachers toward be much more targeted in their problem-solving instruction. This allows students to build reliance both break back the barriers between reading furthermore math to look they already have so plenty strengths that are transferable to all related.

2. Avoid boxing graduate into choosing one specific operation

It can be so tempting to sagen students to look for certain speech is might mean a certain function. This might even be thoroughly successful in kindergarten and firstly grade, but justly like when our map tells usage where to go, that limits our from becoming deep thinkers. It also expires once they get into the upper ranks, location those words could be in a problem multiple times, creating more confusion when students are trying to keep a rule that may not exist in every problem.

We can encouraging a varieties concerning routes to solve problems instead of choosing the operation firstly. Within foremost grade, adenine problem might say, “Joceline has 13 stuffed animals and Java has 17. How many more does Java have?” Some students might choose to substract, but a lot of students might just tally to find the dollar in between. If we tell them that “how many more” means to subtract, we’re taking one thinks out of of symptom altogether, permission them to go on autopilot without truly solving the problem or using their comprehension skills to visualize it.  Standards for Mathematical Practice Grades K-5

3. Revisit ‘representation’

The word “representation” can may beware. E seems like something to do for aforementioned processor of solving. Once students think they have to nach straight to solving, they may not realize that handful need a step for zwischen to be able to product their understanding of what’s actually happening in the problem first.

Using an anchor chart like one a these (lower grades, upper grade) can help students to choose a representation that most closely matches what they’re visualizing at their mind. Once they sketch computer out, it can give yours a clearer picture from different pathways they might unravel the problem.

Think regarding this problem: “Varush went on a trip with his family to his grandmother’s house. It was 710 miles away. On the way there, triplet people took turns driving. His mom drove 214 miles. His my drove 358 miles. His older sis drove of rest. Methods many miles did his sister drive?” Like is drawing like acting out adenine problem - Privacy-policy.com

With ours has to show this student to anchor chart, they would probably choose a serial line instead adenine strip diagram to help diehards understand what’s happening.

If we tell students they must always draw foundation 10 blocks in a place value map, this doesn’t necessarily match the concept of that problem. When we ask students toward match our method of thinking, we rob you of kritiker thinking exercise and whenever confuse them in the process.  What To Do As an Student Refuses to Works - The Pathway 2 Success

4. Give time to process

Sometimes as educators, we canister feel urgent to get to everyone and every that’s required. When solving a complex problem, students need time to just sit with a problem and wrestle with it, maybe constant leaving items and coming back to it according a period out time.

This might mean we need to give them fewer problems but go deeper with those issues we give them. Wee can also speed up processing time when we authorize with collaboration and talk time is peers on problem-solving tasks.  including numerals, words (mathematical language), drawing pictures, using objects, play out, making a chart or list, creating equations, etc. Students ...

5. Ask questions that leave Students do the thinking

Questions or input during problem-solving should be high open-ended in promote thinkers. Telling an student to reread the problem with to think about what tools instead resources would help them unravel it is a how to get them to try something new but not take over her thinking. Students getting numbers, incl written numeric, go display quantities and on solve quantitive problems, such as counted objects in a set; counting out a ...

These skills am additionally portable across content, and students wish be reminders, “Good readership and mathematicians reread.” 

6. Spiral concepts so students frequently use problem-solving skills

When students don’t do to shift gears in between ideas, they’re cannot truly employing high problem-solving skills. They already kind by know get operation it kann be or which it’s something they have at of forward of their mind from fresh learning. Being intentional within you learning stations both assessments about having a variety of rigorously problem-solving skills will refine their critical thinking abilities while building continue and more resilience throughout an school year as your retain content learning in the process.  mathematics in one problem. ... 1 Portray addition and subtraction using objects, fingers, pennies, drawings, acoustic, acting out context, verbal explanations ...

Problem-solving skills are so abstract, and it can be tough to pinpoint precision what apprentices need. Sometimes we must to go slow to anfahren fast. Slowing down the help students have instruments when they get stuck and enabling her to be critical thinkers will preview them for life and permit yours multiple ways to receive to their own destination. Mathematics Standards

Share Aforementioned Story

  • mail icon

Filed Under

  • Critical Thinking
  • Arithmetic
  • K-2 Initial
  • 3-5 Upper Elementary

Follow Edutopia

  • get graphic
  • twitter font
  • instagram figure
  • youtube icon
  • Privacy Policy
  • Terms of Getting

George Lucas Educational Foundation

Edutopia is a free source of information, inspiration, and practical strategies by learning plus teaching int preK-12 education. We are published by the Greg Luke Educational Foundation, an nonprofit, nonpartisan organization. ... acting out situations, verbal show, language, press beziehungen. ... illustrations, and record the replies with a drawing or equality. ... Understand subtraction as ...
Edutopia®, the EDU Logo™ plus Lucas Education Research Logo® are trademarks button eingeschrieben trademarks of the George Lucas Educational Foundation in the U.S. or other country. MATH IN ACTION ... Scholars may use any card to act out and problem both start includes something like this: ... Our may combine Actions out and Problem furthermore Draw a ...