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  1. Writing Word Problems Having students write their own word problems helps students learn how word problems are constructed, develop their reasoning skills, and make connections between math concepts and the real world. Instructions 1. Have students work in pairs. 2. Ask each student to make up a simple math problem and write it on a piece of paper,

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  2. question in their own words. If a student cannot explain what the question is asking in their own words, they should not move on. Again, you cannot find the solution if you do not know the problem. Do not be afraid to spend a significant amount of time focusing on understanding the question. As students get older and the math gets

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  3. students”. (The Ontario Curriculum: Mathematics; 2005; p. 25). The tools teachers use Teachers use thinking tools in classrooms all the time to help students explain and develop their mathematical thinking. Here are some examples of tools you might hear your child talk about or work on in their homework. base ten blocks pattern blocks ...

    • Number Talks
    • Pose A Problem + Record Or Post Student Strategies and Explanations
    • Sentence Stems
    • Turn-And-Talk Or Think-Pair-Share Daily
    • Model and Rephrase
    • Mentor Examples
    • Reteach Operations Conceptually
    • Word Bank
    • Variety of Tasks to Explain: Computation and Word Problem
    • Partner Explanations

    Number talks are a great way to improve number sense, to get your students thinking about math in different ways, and, of course, to help them explain their answers. If you are not familiar with number talks, they follow this format: 1. Teacher posts a problem or series of problems on chart paper. 2. Students mentally solve the problem. 3. Teacher ...

    I have used this strategy in my room for years to help my students think through, solve, and explain word problems. Basically, I pose a word problem or a situation. We read and discuss the problem together, making sure all the students have an access point or entry point (basically a way to begin solving the problem). The students independently sol...

    My answer is… I figured it out by…
    My answer is… To get my answer, I…
    My solution is… I arrived at this solution by…
    To get my answer, I…

    If students are not talking about how they solved a problem or explaining their work, then chances are that they will not be able to write about it. I use turn-and-talks/think-pair-shares in my classroom daily to get my students talking about math. In my classroom, we share verbally daily and then also write our explanations at least once a week. I...

    As you are discussing math with your students, regularly model using mathematical vocabulary to explain answers. If they don’t regularly hear the correct mathematical language and vocabulary used, then they will not be able to use it themselves. In addition to modeling, rephrase students’ responses as needed to ensure clarity and precision. Here is...

    We use mentor texts all the time in our regular writing instruction, and they work just as well at helping students explain and write in math. Use mentor examples of math explanations to help your students see what you expect and to help them formulate their own explanations. Here are some ways to gather or create mentor examples for math explanati...

    One of the biggest reasons that students cannot explain their work in math is that they don’t have a conceptual understanding of what they are doing. I actually spend quite a bit of my “grade level instruction” time backing up to 4th or even 3rd grade and re-teaching a concept in a conceptual way. I get a bit behind on my pacing occasionally, but a...

    One thing that I found my students struggled with was explaining why they chose to do a specific operation. Creating a word bank of mathematical phrases for each operation really helped them. Here is an example: Click here to get a copy of this math poster. There are three versions, and each version increases in variety and complexity. I did have t...

    I have my students practice explaining both computation problems and word problems. I typically start with them explaining how they solved a computation problem and then move into explaining word problems. If they cannot explain the steps they took to solve a computation problem, then explaining how and why they solved a word problem will probably ...

    Another way to scaffold and support students when they are first learning to explain their answers using sophisticated vocabulary and math language is to use partner explanations. Have the partners solve a problem or task together and then work together to explain their answer. You can even give them two different colored pencils or markers to crea...

  4. share with someone else and explain your reasoning. • Discuss and plan –Solve – Discuss the problem with a partner and plan how to solve it, then put your plan into action and solve the problem. •Compare–Make Stronger – Compare your answer and process with another pair of students and make one suggestion for how their

  5. Summary of Standards for Mathematical Practice. Questions to Develop Mathematical Thinking. 6. Attend to precision. Communicate precisely with others and try to use clear mathematical language when discussing their reasoning. Understand meanings of symbols used in mathematics and can label quantities appropriately.

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  7. To communicate mathematically means to: use words or mathematical symbols to explain real life. talk about how you arrived at an answer. listen to other ways of thinking and perhaps alter your own thinking. use pictures to explain understanding. write about the math you used, not just give an answer.

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