Embedded Files
Standards
Standards
Common Core Math Standards (.pdf)
Common Core Math Standards in Spanish
Coherence Maps by Grade Level and Standard "Build student understanding by linking together concepts within and across grades...Standards are illustrated with tasks, lessons, and assessments, as well as excerpts from the Progressions documents."
Lesson Planning
Lesson Planning
NCTM Classroom Resources (problems per gr. level)
Estimation 180 “Building number sense one day at a time.” Different problems to use w/estimating gr. 4-8
Teaching Strategies
Teaching Strategies
**Say This, Not That Update your math vocabulary! Important to use the correct terms so that confusions don't happen later for students. This is a downloadable .pdf.
Math Visuals Strategies for K-5 Math concepts
The Power of Visualization in Math and Visualize Math Matrix of Resources
My Just Right Number Ideas for building fluency with numbers and systems (primary)
Mathematical Thinking and Language are Threads of a Single Fabric From Fostering Mathematical Practice, ideas for effectively using sentence frames to help students articulate their thinking.
Erikson Institute Early Math Collaborative This is a link to the big ideas for early math, you can join (free) and you will have access to online learning modules
Big Ideas Map Key Math concepts for young children
K-3 Teaching w/books ideas, for example, Picture books for talking about patterns and 4 Books about Measurement that Spur Children's Thinking
8 Counting Books that Tackle Big Ideas Includes a downloadable sheet w/ideas for talking about the books
Mathematical Mindsets Practices From Jo Boaler:"We have designed a Mathematical Mindset Guide to help teachers create or strengthen a growth mindset culture. This guide contains five Mathematical Mindset Practices along with links to teaching videos." If you click on the arrows on the final column, you'll get a video explanation for each.
Listening Closely to Student Math Talk
Why Spatial Reasoning is Critical for Early Math Education
Playful Invitations A website with "inspiring ways to teach early math." The Blog Archive is organized by subject.
For K-2: Counting Collections Lesson plans & ideas: "Counting Collections is a structured opportunity for children to count a collection of objects. They might count the items one-by-one or skip-count by groups. After children have organized and counted the collection they record how they counted."
DREME's Early Math- List of Children's Books that Foster a Love of Math Categories: Counting, Addition and Subtraction, Measurement and Size, Patterns and Algebra, Shape, Spatial Relations, Taking Apart Numbers
Mathematics Instructional Activities Click on "Elementary" at the top..."The instructional activities, tools, and resources offered by this project are designed to support teachers to learn about and take up practices of ambitious teaching and engage children in rich mathematics." Lesson plans, video examples, downloads free if you register. From Teacher Education by Design.
Robert Kaplinsky's DOK Matrix for Elementary Math - a helpful tool, at bottom of page you can download. Also from Kaplinsky, My Four Most Asked Questions on Depth of Knowledge
Great place to start with full curriculum by grade level, lesson plans and handouts all tied to Common Core and : Engage NY, Eureka lessons Downloadable curricular resources, including lesson plans and handouts. Available in other languages as well here.
What ISN'T Mathematical Modeling? An explanation of what "Model with Mathematics" means in the standards
The Art of Questioning in Mathematics A great list of questions to ask students as they work on problems to promote deeper learning. Downloadable .pdf available.
Crafting and Implementing Open Ended Questions Slides of a talk at NCTE 19.
100 Questions that Promote Mathematical Discourse More questions to ask!
Fostering Math Practices Routines, tasks, free downloads
6 Ways to Help Students to Understand Math
Harnessing the Power of Productive Struggle
Assessment for Learning Math assessment for learning! Give your summatives a boost!
Ideas for closing a math lesson:
YouCubed Problem Based Lessons
YouCubed Problem Based Lessons
Visualize. Play. Investigate.
Stanford University’s YouCubed (Jo Boaler’s website) which includes how to start, lesson plans, all problem based. She also has a Facebook group as well as books with lesson plans.
Jo Boaler videos on Math Mindsets:
CUE Keynote (excellent!)
TedTalk: How You Can be Good at Math
Also excellent, with a different problem featured
Other YouCubed resources:
Tasks Search for tasks by concept, grade level, and /or topic
Mathematical Mindset Teaching Guide, Videos and Resources
Week of Inspirational Math For any grade level. From Jo Boaler, these are lesson plans to help you set the tone for Common Core and CGI math instruction! Lesson plans, videos and more. The work is done for you!
Free Algebraic Mathematical Mindset lessons for any grade level New Fall 2018
Mindset Mathematics curriculum guides, grades 3-6. K-2 coming soon! This has problem based lesson plans, and a whole section on helping develop problem solving norms as a class.
There are many more resources on the YouCubed website!
Different Experiences with Math Facts
Different Experiences with Math Facts
"This one-minute film illustrates the need to teach maths facts through engaging, visual, and creative methods."
From YouCubed
More Problem Based Resources
More Problem Based Resources
Primary:
My Just Right Number Ideas for building fluency with numbers and systems (primary)
Erikson Institute Early Math Collaborative This is a link to the big ideas for early math, you can join (free) and you will have access to online learning modules
Big Ideas Map Key Math concepts for young children
K-3 Teaching w/books ideas, for example, Picture books for talking about patterns
8 Counting Books that Tackle Big Ideas Includes a downloadable sheet w/ideas for talking about the books
Walk with Rosie K spatial math lesson
K-12 Resources:
Robert Kaplinsky's Website, K- 12 problem lessons to use and resources. Try his link to Google Sheets document or his Problem Solving Framework
Open Middle - Challenging Math Problems Worth Solving Gr. K-8, "open middle” meaning that there are multiple ways to approach and ultimately solve the problem. "Open middle problems generally 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." Downloadable Google Slides and resources.
Spark Engagement in Math with Pictures
Numberless Word Problems If your students just aren't getting word problems, this is a good place to start.
Would you Rather? Real world math problems! Easy resource to use to encourage mathematical problem solving!!
Resources for Rich Math activities -link to Google Sheets document -this has websites and Twitter handles to follow.
Number Talk Images "A collaborative project dedicated to gathering interesting images to be used as a launching point for Number Talks."
Laura Candler's Math File Cabinet Free downloadable activities and ideas
Better Lesson Common Core Math Lesson Plans K-12
Embarc Online Register for free, get access to K-8 resources, problems, videos, curriculum of Eureka Math and Engage NY. Put together by a Bay Area consortium of districts using the program.
Free Resources for fun math problems
Fraction Talks Problems for discussion
Math is Visual "This website was created to assist in building a better conceptual understanding of mathematics through the use of visuals."
5th Grade: Multiplying and Dividing Decimals Using Number Sense
Tap Into Teen Minds 3 Act Problems, PD videos. "Contextual Real World Math Tasks, Math Visuals, Course Resources and More"
Desmos For grades 6-12 (or any concept you need a graphing calculator for). Lessons/activities with graphing calculator, use what is on the site or create your own. Free. Here's a sample activity (click on "student preview"). Here's the free graphing calculator. Also has a teacher dashboard to see what class is working on.
NCTM Classroom Resources (problems per gr. level)
SolveMe Puzzles Students learn algebraic & pre-algebraic reasoning, and how to solve for missing numbers in an equation.
Multiplication Fact Online Practice Sites
Estimation 180 “Building number sense one day at a time.” Different problems to use w/estimating gr. 4-8.
Visual Patterns Explanation here
Math Talks (6th - 8th)
5 Twists on Tic-Tac-Toe From Marilyn Burns, from her book Math for Smarty Pants. Some of the mathematical thinking involved: problem solving, spatial reasoning, hand-eye coordination, taking turns, thinking strategically, good sportsmanship, understanding predictability.
Gfletchy Progression videos to help you understand how Math grows from each grade level and skill (see Multiplication video below)
3 Act Lessons from G Fletchy K-7 problems. He also links to a database of all his problems
CGI Resources
CGI Resources
Questions you want Ss at all ages talking about:
What is the problem asking us? What clues tell you that? What did you do first? Why? Then what did you do? Why? Why did you use that strategy? What did you come up with? Etc., etc., etc. from: The First Grade Parade
From CCSS, you want students to be “FLUENT” in math. How do you know?
The student's answer is...
Efficient – a reasonable amount of steps
Accurate – the solution has a degree of precision appropriate for the problem context.
The student knows why the solution works.
Flexible – the student knows several strategies, for example...
◦ 9 x 6 is 54 because…
6 x 10 is 60, take away one group of 6 and it is 54
5 x 6 is 30, 4 x 6 is 24, 30 + 24 is 54
9 x 3 is 27, double that 20 + 20 is 40, 7 + 7 is 14, 40 + 14 is 54
CGI Philosophy/Resources from Downey School District
CGI Assessment Guide from University of Washington
Strategies in Action Videos (also from U of Washington)
Why Kids Should Use Their Fingers in Math Class
13 Expired Math Rules "The authors point out thirteen math rules commonly taught in the elementary grades that no longer hold true in later grades; in fact, these rules 'expire.'"
Other Math Resources
Other Math Resources
Mathalicious Real world math ideas/lessons (but costs $$) If you register there are resources, videos and lesson plans (look under “Week of iMath”) to help you and students understand a math mindset. Good place to explore before you start with your own class. There are tasks for students and resources for you! A helpful introduction to Common Core Math and the thinking behind it.
It All Adds Up! 25+ Math Resources, Apps, & Tools
Mathletics (subscription service K-12)
10 Good Math Resources for Math Teachers and Students
Some Good YouTube Channels for Math Teachers
EconEdLink Lessons K-12 on economics, personal finance, cybersecurity
Equatio An add-in to your browser or download to your computer...makes writing equations super, super easy!!!! Video here. Free for teachers.
13 Ways to Enhance Math Lessons with FlipGrid This site gives you ideas...you can get FlipGrid here for free.
Free Math Apps from Math Learning Center "All apps are available in two or more versions: a web app for all modern browsers, and downloadable versions for specific operating systems and devices (such as Apple iOS for iPad)." These are open-ended TOOLS, so you'd use these apps as tools to help students visualize and work out problems.
Free Lessons and Publications Also from Math Learning Center, Pre-K to 8
Some Twitter people and hashtags to follow:
#MTBoS (community of math teachers)
@themathforum
@ElemMathChat
@burgessdave
@NatBanting
#noticewonder
#elemmathchat
#mathemetizethis
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