Problem Solving/3-Part Math Problems

***New links added November 28, 2017***

Problem-solving is a 21st Century skill that all students need to develop. How do we facilitate problem-solving in our classrooms? By ensuring that our students have ample opportunity to collaborate with their peers. Three-part lessons allow students to problem solve with their peers, make mistakes, and develop a growth mindset. This article by Dan Meyer explains the need for 3-Part Math Problems beautifully. Check out the links below the video for lessons using problem solving.

This video from YouCubed demonstrates the benefits of problem-solving beautifully, as told by students.


Solving The Math Problem from YouCubed on Vimeo.

OTF-Teaching Math Through Problem Solving and 3-Part Math lessons

3 Part Math Lessons-A problem-solving approach-video

Edugains-Effective Guides for Instruction

Guide to Effective Instruction in Mathematics- vol 2 Problem Solving and Communication

Open-ended questions for mathematics

21st Century Competencies

Intermediate math UGDSB-Minds-on activities

Challenging Math Problems

Intermediate Math UGDSB-3-Part Lesson

Math Problems-Early Years

Math Problems-Primary

Math Problems-Junior/Intermediate

Parallel and Open Task Problem-Solving Math Bank K-3

Parallel and Open Word Problems Grades 3-5

Rubric for Open-Ended Questions

Daily Tracking for Problem Based Classroom

Proportional Reasoning

Proportional Reasoning

Students apply Proportional Reasoning throughout the Mathematics curriculum from Kindergarten to grade 12, in every strand. It is thinking about relationship and making comparisons of quantities of values. Take a look at the Ministry of Education's document Paying Attention to Proportional Reasoning K-12. In addition, there are a number of links at the bottom of this page for more resources. 

This video will help explain Proportional Reasoning for you.

This video is a great video to explain proportional reasoning for students in middle grades.

Being Responsive to Student Thinking

Video Library for Proportional Reasoning

Proportional Reasoning-Big Ideas

Paying Attention to Proportional Reasoning

Patterning and Algebra

Patterning and Algebra

Patterning in quilting

Patterns abound everywhere! We can see the patterns in the world around us, which is great to help students make connections to the lessons they are learning in class. This can also be connected to transformational geometry as well when learning about tessellations. Here is a great video TedEd-Ancient Complex Islamic Patterns from TedEd about Complex Islamic Patterns. This may be a great enrichment activity or worked into art. 

Check out the list of additional resources under the video you may find useful.

http://mathies.ca/activities.html

Effective Guide to Effective Instruction in Mathematics-K to 3-Patterning and Algebra

Patterning and Algebra-grades 4 to 6

Fraction Strands

Exploring the Power of Growing Patterns

Targeted Implementation Planning Supports for Math-Edugains

CEMC-Patterns Grade 4

A Guide to Effective Instruction in Mathematics K-3-Patterning

Creating a Recursive Pattern Lesson Plan

Geometry and Spatial Sense

Ahhh...geometry. There is so much potential in geometry, but so much fear attached with how to teach it. In a recent survey that 160 occasional teachers and long term occasional teachers completed, geometry and spatial sense came out as the strand that teachers felt the least amount of comfort teaching. Why? I'm not exactly sure, but feel free to comment to explain why a large number of teachers feel this way about geometry.

Here are the results: two ways to show the same thing!







Here are some great resources available online.

A Guide to Effective Instruction...Geometry and Spatial Sense grades 1to 3

Linking Fraction Strands to Geometry and Spatial Sense

A Guide to Effective Instruction...Geometry and Spatial Sense grades 4 to 6

Interactive Geometric Shapes

There are some great interactive tools to use to show students geometric shapes, nets, etc. This is one that I recently stumbled across: Interactive Geometric Shapes

Here is a great Minds-On activity to get your students to make real-world connections to graphing from Ted Ed. I highly recommend taking a look, it also provides some questions and lesson plans. Here is the link to the entire site: TED Education