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Teachers who are developing students’ capacity to “make sense of problems and persevere in solving them” develop ways of framing mathematical challenges that are clear and explicit, and then check-in repeatedly with students to help them clarify their thinking and their process.
Create an anchor chart with clear examples and your expectations for how you want your students to justify their answers. Any time my students are struggling with something, I like to take a close look at what they are struggling with to see if I can break it down and make it very clear for them.
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- Model Precision & Math Vocabulary Usage
- Model Exploratory Math Language
- Practice Justification Using Error Analysis Tasks
- Find More Resources to Help Your Students Justify Their Thinking
- Ready to Dig Deeper?
First, we as teachers must always be conscientious to model precision as we talk about math strategies, vocabulary and solutions in context. We can’t expect kids to always have the right words and always remember to use the correct units, but we can certainly work hard to model correct use ourselves. For example, if a word problem involves measurem...
We can also model exploratory talk, or thinking through our process to solve. Allowing students to see us “think out loud” as we make sense of a problem will help them to see this as normal and accepted (rather than only wanting to talk or share something polished and final). Beyond simply modeling precision and reasonable math arguments and strate...
Another way to help kids critique the reasoning of others is through error analysis. This means you present them with a math problem that has already been solved and the thinking/strategy shown and have students consider 1.If the solution is accurate and 2.Whether the strategy used was appropriate/efficient or where the error occurred and why. Some...
Ready to get started?The following resources will help you get started with number talks, foster more math discussion in your classroom or encourage more error analysis and attention to precision as kids learn to justify math thinking. 1. Learn more about number talks here 2. Grab number talk planning pages here | instant download! 3. Learn about o...
If you are loving this conversation and want to learn even more about helping kids to talk about and write about math, I go into much more depth than I had time for here in my courses, Meaningful Number Talks and Thinking Deeply: How to Incorporate Meaningful Writing in Math Class. Although all of my courses are available separately, they are truly...
Jun 11, 2021 · Arming students with the skills to make sense of math problems is clearly intended to boost mastery, fluency, and overall mathematical competence — the ultimate goal is simply to help...
Apr 21, 2016 · Make sense of problems and persevere in solving them. Mathematically proficient students at the elementary grades explain to themselves the meaning of a problem, look for entry points to begin work on the problem, and plan and choose a solution pathway.
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Aug 4, 2024 · How to easily make your own math word problems & word problems worksheets Armed with 120 examples to spark ideas, making your own math word problems can engage your students and ensure alignment with lessons.
