# How can math words help students explain their thinking?

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Math words provide students with a common language to express their reasoning and ideas about problem-solving, making it easier for them to communicate and explain their thought process to others.

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Using math words can be extremely beneficial for students when it comes to explaining their thinking. By providing students with a common language for expressing their reasoning and ideas about problem-solving, it becomes easier for them to communicate and explain their thought process to others.

According to Jo Boaler, a Professor of Mathematics Education at Stanford University, “Using math words can help students develop their metacognitive abilities, or their ability to think about their thinking.” When students are able to use precise language to talk about their thought processes, they are better able to identify the steps they took to arrive at a solution. This, in turn, can help them to better understand the problem-solving process and improve their overall mathematical thinking abilities.

In addition, using math language can also help to clarify ideas and reduce confusion. When discussing mathematical concepts, it is often easy to become confused or misunderstand what someone is trying to say. However, by using precise mathematical terminology, students can ensure that everyone is on the same page and that there is no confusion about what is being discussed.

Here are some interesting facts about the benefits of math words for explaining thinking:

• Using math language can help students develop their critical thinking skills.
• Math words can help students identify and understand mathematical patterns.
• The use of math words can help students communicate more clearly and effectively with their teachers and peers.
• Math language can help students better understand real-world applications of mathematics.
• According to a study conducted by the National Council of Teachers of Mathematics, “students who use an organized vocabulary in mathematics have higher achievement scores.”

Table: Examples of Math Words for Explaining Thinking

Math Word Definition
Algorithm A set of steps used to solve a mathematical problem
Variable A symbol used to represent an unknown quantity
Equation A statement that two expressions are equal
Inference A conclusion drawn based on evidence or reasoning
Coefficient A numerical or constant factor in a mathematical expression

## See a video about the subject.

Thank you for providing a valid transcript excerpt. Based on the excerpt, the video “10 Math Riddles that will Boost your Thinking Skills” presents a series of math riddles covering various topics like algebra, geometry, and logic, challenging viewers to think critically and creatively. These riddles encourage viewers to think outside of the box and apply mathematical principles to come up with innovative solutions, boosting their problem-solving skills. The riddles are not only fun but also offer an opportunity to exercise the brain and improve analytical thinking.

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## There are several ways to resolve your query

Math talks are an excellent way to deepen students’ abstract reasoning, or their ability to find relationships and patterns, make inferences, and solve complex problems. Encouraging students to explain their thinking using math words can help them learn more and be more motivated to learn. Having a “word wall” in your home or classroom to expose kids to math specific words and starting discussions can also help. Talking about math thinking can also serve as a stealth form of assessment, giving teachers insight into what students have mastered and where they still need help.

In addition to talking about numbers and calculations, math talks are an excellent way to deepen students’ abstract reasoning, or their ability to find relationships and patterns, make inferences, and solve complex problems. In fact, many of the Common Core Standards for Mathematical Practice can be applied during math talks.

Research suggests that when students talk more about their math thinking, they are more motivated to learn and they learn more. Talking about math thinking can also serve as a stealth form of assessment, giving teachers insight into what students have mastered and where they still need help.

Here are just a few ideas: Have a “word wall” in your home or classroom to expose kids to math specific words and start discussions Encourage students to explain their thinking when they solve a problem using math words. If they explain in a way that doesn’t incorporate the correct vocabulary, rephrase it for them using appropriate terms

I find there is a world of difference between explaining things to a colleague, and explaining things to a close collaborator. With the latter, one really can communicate at the intuitive level, because one already has a reasonable idea of what the other person’s mental model of the problem is. In some ways, I find that throwing out things to a collaborator is closer to the mathematical thought process than just thinking about maths on one’s own, if that makes any sense.

One specific mental image that I can communicate easily with collaborators, but not always to more general audiences, is to think of quantifiers in game theoretic terms. Do we need to show that for every epsilon there exists a delta? Then imagine that you have a bag of deltas in your hand, but you can wait until your opponent (or some malicious force of nature) produces an epsilon to bother you, at which point you can reach into your bag and find the right delta to deal with the problem. Somehow, anthropomorphising th…

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Hereof, How do you teach students to explain their thinking in math?
Good Math Writers:

1. Select the best way to represent their thinking (e.g. using words, equations, a diagram, table, or graph)
2. Use precise math vocabulary and symbols.
3. Give examples.
4. Describe any patterns they discover.
5. Show/explain the steps taken to solve a problem.
6. Explain their findings in a clear and organized manner.
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People also ask, Why is it important for students to explain their thinking in math? Research suggests that when students talk more about their math thinking, they are more motivated to learn and they learn more. Talking about math thinking can also serve as a stealth form of assessment, giving teachers insight into what students have mastered and where they still need help.

Similarly, How do you get students to explain their thinking?
The simplest way to start having your students explain their thinking is to ask them questions like:

1. Why?
2. How do you know?
3. Can you walk me through that?
4. Are you sure?
5. Will that always work?

Simply so, Why is learning math vocabulary important? Answer will be: So why is math vocabulary so important to teach? Understanding math vocabulary has a correlation to better problem-solving and conceptual understanding of math itself. After all, how can you supply an answer when you don’t know what the question is actually asking!

Likewise, Why should teachers talk about math thinking? Talking about math thinking can also serve as a stealth form of assessment, giving teachers insight into what students have mastered and where they still need help. Catherine Gewertz was a writer for Education Week who covered national news and features. Get the latest education news delivered to your inbox daily.

Subsequently, How can I help my students understand math terms?
Answer to this: While vocabulary lists or notebooks, etc. may certainly be helpful, the best way for students to fully understand the meaning of terms is to see it and use it in the context of a math problem. I also believe it is important to try and let students see and explore the math before you give them formal definitions.

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Beside this, What happens when a student talks through their math problems?
Answer to this: A student that talks through their math problems is able to rationalize their reasonings for performing certain steps. As a result, they are able to formulate solid arguments as to why they did what they did, or why they feel that they must do what they must do.

Herein, How can teachers help students solve word problems?
Answer: Foster small-group conversation about word problems. At Robbins Elementary, one of the new areas of focus for teachers is helping students tackle word problems. Once teachers model solutions for the class, they let students try on their own, in pairs or small groups, Superintendent Carl said.

Also question is, Why should teachers talk about math thinking? Talking about math thinking can also serve as a stealth form of assessment, giving teachers insight into what students have mastered and where they still need help. Catherine Gewertz was a writer for Education Week who covered national news and features. Get the latest education news delivered to your inbox daily.

Beside this, Why is math vocabulary important?
The answer is: Math vocabulary is an integral piece to understanding math concepts and developing math skills. Often times if a student does not understand a vocabulary term, they are unable to process and make sense of what they are doing, and this will hinder their success.

How do you help students understand math?
6 Ways to Help Students Understand Math Help students better understand math by presenting multiple examples, encouraging collaboration on alternative solutions, and framing the class with a clear agenda and effective summary. ByMatthew Beyranevand April 22, 2016 close modal Photo credit: Matthew Beyranevand Photo credit: Matthew Beyranevand

In this regard, How can teachers help students solve word problems?
Foster small-group conversation about word problems. At Robbins Elementary, one of the new areas of focus for teachers is helping students tackle word problems. Once teachers model solutions for the class, they let students try on their own, in pairs or small groups, Superintendent Carl said.

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