Mathematical Practices
General Resources
Vertical Progression of Math Practices
A look at how math practices progress as students grow from Kindergarten through eighth grade. Examples and information is given to help teachers better support students at any point in their mathematical career.
Content Standards - Progressions between grade levels
This site takes a look at the CCSS progression of skills by domain throughout a child's math career. Split by content area, take a closer look at the foundational skills through higher level skills that students will work on during their time with us.
Mathematical Practices Questions Stems
Questions stems that help teachers question students in specific areas of math practices.
Debbie Waggoner - Resource Library
Debbie Waggoner shares a wealth of information on the mathematical practices. Her websites has lessons, resources and more, to explore.
A Guide to the 8 Mathematical Practices
This site offers a general overview of the eight mathematical practices. "Common Core mathematics is a way to approach teaching so that students develop a mathematical mindset and see math in the world around them. We are making problem-solvers. No matter what your objectives, textbook, or grade level, the eight mathematical practice standards are a guide to good math instruction."
https://www.teachingchannel.org/videos/owning-the-common-core
A video resource to explore and reflect on the math practices in action.
Louisiana Believes - A Guide for Teachers Planning to Implement Math Practices
A guide put together by the Louisiana State Board of Education to help their teachers implement the math practices into their classrooms. The site includes question stems, examples of students and teacher roles with the practice and more information about the standards themselves.
Jump Starting a Schoolwide Culture of Mathematical Thinking
"Problem solving is the cornerstone of doing mathematics. " This online eBook allows readers to learn about how to engage students in the mathematical practices to get them to think more deeply about math and the world around them.
While not specifically focusing on math, this website promotes the growth mindset and the idea of thinking deeply about growing and evolving as students.
"We've created Yummy Math to provide teachers with an easy way to bring real-life into their math classrooms. It is our belief that when math is explored in contexts that are familiar and of interest to students, students will be more engaged to do math, reason, think critically, question and communicate."
Graham Fletcher beautifully illustrates how mathematical thinking develops throughout the grade levels.
Picture Books to Explicitly Teach Mathematical Practices:
Perseverance:
http://buggyandbuddy.com/childrens-book-list-picture-books-perseverance/
http://www.the-best-childrens-books.org/teaching-determination.html
http://www.whatdowedoallday.com/2016/01/picture-books-about-perseverance.html
Precision:
Online Tools That Support Math Practices
With a tagline of "building number sense one day at a time", this tool allows teachers to have students use estimations in real life examples. Starting each day of the week, students are given a picture and prompt and have to use estimation skills to guess an answer. Some prompts are good for younger students, but many are for upper elementary and middle school.
Math Practice 3 states that students should be creating viable arguments and critiquing the work of others. This site posts Math Mistakes so students can critique the work of students not sitting directly in the classroom. Many are common math errors and will allow students to check for accuracy and errors made.
Our students should wonder about math, make them ask the questions instead of just giving the answer. Daily picture prompts that will promote student questioning.
Illustrated examples of content standards. These are sorted by standard and easy to filter based on what you are teaching. Many great examples of modeling with math.
Examples and Connections to Classroom Practices
"Inside Mathematics illuminates the mathematical practice standards with video excerpts of mathematics lessons." Within this site you will find problems of the month, performance assessment tasks, formative Re-Engaging Lessons, Common Core Resources, Classroom Videos, and SEL resources.
Uses the tagline, "Our main goal is to inspire, educate and empower teachers of mathematics, transforming the latest research on math learning into accessible and practical forms." This website has resources to help support deeper thinking. The Week of iMath are pre-designed lessons for grade level clusters that inspire students though "open, beautiful and creative math".
"Think Math! recognizes that all students are different and that they learn in many different ways. However, Think Math! also recognizes that children are problem solvers by nature." Problem solving activities are aligned by grade level and content strand.
Math Shell - Higher Level Thinking projects for upper elementary and middle
"The Mathematics Assessment Project aims to bring the Common Core State Standards (CCSSM) to life in a way that will help teachers and their students turn their aspirations for achieving them into classroom realities." Performance tasks related to content standards help to stretch students thinking with problem solving, critical thinking and perseverance.
Challenging math problems worth solving
"Open middle problems require a higher depth of knowledge than most problems that assess procedural and conceptual understanding. They support the Common Core State Standards and provide students with opportunities for discussing their thinking."
California school teacher, Fawn Nguyen, has created a well organized resource of 'deeper thinking' problems for teachers and students to explore using math talks. This is a great go-to resource for teachers wanting to explore math talks with their students!
"This site is about compiling, analyzing and discussing the mathematical errors that students make." This site is a great resource for creating opportunities for students to look at and critique other students' mistakes. A great way to delve deeper into SMP3
Three Act Math Tasks
The 3 Act Math format was created by Dan Meyer. How do the 3 Acts work? Students are shown an image or video. They ask questions, identify important information, construct models, and then make real world comparisons. Check out Dan Meyer's blog posts about each of the 3 acts below.