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Log in to i-Ready®, online assessment and instruction that helps teachers provide all students a path to proficiency and growth in reading and mathematics.

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Orchestrating Math Discourse White Paper

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Orchestrating Math Discourse White Paper

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Expert Gladis Kersaint offers best practices for orchestrating mathematical discourse to enhance student learning in this free whitepaper. Download your copy.

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Log in to i-Ready®, online assessment and instruction that helps teachers provide all students a path to proficiency and growth in reading and mathematics.

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5 Practices for Orchestrating Productive Mathematics Discussions

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5 Practices for Orchestrating Productive Mathematics Discussions

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This seminal work by Smith & Stein outlines the key practices for facilitating meaningful math discourse: anticipating, monitoring, selecting, sequencing, and connecting. Essential reading for understanding the foundation of effective math discussions.

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What's new?
* Guidance on what is involved in anticipating, including elaboration on assessing and advancing questions

* Details on what is involved in anticipating, including elaboration on assessing and advancing questions

* Expande d lesson planning discussion

Situated in the current educational context of the Common Core State Standards for Mathematics and NCTM's Principles to Actions, 5 Practices 2nd edition remains relevant for K - grade 12 mathematics teachers and the coaches, teacher educators, professional developers, and supervisors that support them.

Relevant for K - grade 12 mathematics teachers and the coaches, teacher educators, professional developers, and supervisors that support them.

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5 Practices for Orchestrating Productive Mathematics Discussions, 2nd edition (Download) - National Council of Teachers of Mathematics

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Five practices provides a model for facilitating discussions in mathematics classrooms based on the thinking of students. The model-anticipating, monitoring, selecting, sequencing and connecting-focuses on planning prior to the lesson and, in so doing, limits the amount of improvisation required during the lesson.

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Explore the powerful talk moves framework developed by Chapin, O'Connor, and Anderson. These research-based discussion techniques include: revoicing, repeating, reasoning, adding on, and wait time.

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Number Talks in Kindergarten, First, and Second Grade Students // different math talk examples!

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Leverage these digital tools to facilitate mathematical discourse in remote or hybrid settings: Jamboard for visual thinking, Desmos for interactive exploration, and Flipgrid for video-based math talks.

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We spoke to hundreds of educators and sifted through more than 500 comments to hear about what math tools they found helpful and unhelpful during remote learning this spring, and which are making the cut to use in the new school year.

Math Skills Practice

A number of math apps and online tools can help students develop the necessary foundational understanding of arithmetic operations they'll need as a baseline for more challenging math problems later on, math teachers told us.

To help younger students practice skills like counting, addition, and subtraction, Ashley Blackwelder, an elementary STEAM coordinator in South Carolina, highly recommends Moose Math, a free app for iPhones and iPads. In Moose Math, students play math games that earn them points to help build a town. Blackwelder says the format is easy for kids to navigate and great for short attention spans.

Curriculum and instructional designer Cassie Tabrizi recommended Happy Numbers (pre-K-grade 5), a subscription-based website ($14.50 per student or $1,450 per site for first-time schools) that breaks down mathematical equations to help students build understanding of higher-order math concepts. To use it, students transform into a dinosaur character and solve math problems to hatch dinosaur eggs. Tabrizi said that the website is helpful, but she recommends using it in moderation: It can feel tedious for students if they practice longer than 10 minutes a day.

Students fight monsters in the persona of a wizard in Prodigy (grades 1-8), a free game-based website (also available as an app for iPhone, iPad, iPod Touch, and Android). Prodigy is loved by kids, but less so by educators because it is more play based. Brittney Paige, a fifth-grade teacher in Seattle, says that even though it is more of a game, she likes that it automatically targets math concepts that students struggled with in its preassessment and tracks how much progress they make on target areas. Most teachers offer Prodigy as an option for students if they finish an assignment early.

Zearn (grades 1-5), a free, self-paced, web-based program aligned with Eureka Math-a free pre-K through 12 math curriculum-starts a typical lesson with fun warm-up activities, like adding up how many apples a cartoon fox eats, to engage students. As they work through the program, students complete timed arithmetic problems, watch instructional videos on new concepts, and solve practice problems. Shannon McGrath, an instructional coach in Western Springs, Illinois, says that Zearn is good "high-level, conceptual practice" and gives good feedback for both teachers and students, but can sometimes progress too slowly for kids who master concepts quickly.

Open Math Tasks

Open math tasks-problems that typically have more than one answer-help students develop a conceptual understanding of math rather than get hung up on memorizing facts, said math educators we talked to, who consistently mentioned three free websites to use for open math tasks.

Rich Math Tasks

For rich math tasks-tasks that lend themselves to rigor, collaboration, and conceptual thinking-math educators noted a couple of websites.

Visual Patterns (K-grade 12) shows the beginning of a pattern-like several boxes in a grid-then asks students to figure out the equation to fit the pattern. "Even though there is only one answer," says Manfre, "you can ask deeper questions with these kinds of tasks, and engage students with mathematics in its more natural, visual form."

Simulation Tools

According to math teachers, simulations, like manipulating an expression and seeing a change in a graph, are great tools to help students visualize math concepts.

Desmos (grades 6-12), a website with interactive math activities and a graphing calculator (also available as an app on iPhone, iPad, iPod Touch, and Android), is another free tool and a favorite among teachers, we heard. While social and emotional learning (SEL) and math may not seem to go hand in hand, teachers integrated SEL into math lessons using Desmos. In the first week of distance learning, Ashley Taplin, a secondary math specialist in San Antonio, Texas, had her students graph how they were feeling, for example. Taplin says she particularly loves that teachers can make their own activities-like this one about parabolas and this card sort, where students match cards with the name, corresponding equation, and correct graphical representation of a function.

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11 Teacher-Recommended Math Apps and Online Tools

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We spoke to hundreds of educators and sifted through more than 500 comments to hear about what math tools they found helpful and unhelpful during remote learning this spring, and which are making the cut to use in the new school year.

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Log in to i-Ready®, online assessment and instruction that helps teachers provide all students a path to proficiency and growth in reading and mathematics.

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The Curriculum Associates Digital Resource Library

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Log in to i-Ready®, online assessment and instruction that helps teachers provide all students a path to proficiency and growth in reading and mathematics.

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Questions that Promote Mathematical Discourse

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Questions that Promote Mathematical Discourse

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Log in to i-Ready®, online assessment and instruction that helps teachers provide all students a path to proficiency and growth in reading and mathematics.