The PYP Essential Elements and Mathematics

I was recently asked what the essential elements might look like for maths. So that got me wondering! Since the elements are the foundations of the PYP curriculum it seemed important to look at them through a maths lens.

I brainstormed ideas with this question in mind.

What should I be trying to expose/inspire/model/guide my students to be doing during my maths lessons?

Here is what I came up with. I would really appreciate any comments or feedback on this. Feel free to add or improve. 

Students will inquire into Concepts
Students will inquire into concepts within central ideas and lines of inquiry.
Students will acquire Knowledge
Students have the knowledge of number fluency/facts to enable them to solve problems efficiently, accurately and with confidence.
Students will develop Attitudes
Commitment to solving challenging problems Confidence to share ideas with peers Enthusiasm for mathematics Creativity in solving problems Integrity to admit mistakes
Students will take Action
Use strategies to solve maths in their daily lives Observe and discuss maths at home Make connections with how maths impacts their lives Display an enthusiasm for mathematics Continue to study maths at higher levels
Students will use these Skills
Thinking Acquire the knowledge required to solve problems. Apply knowledge of number fluency/facts to solve problems. Analyse questions before solving. Ask questions about maths in their everyday life. Use prior knowledge to estimate answers.	Communication Listen to others. Present their understanding their own way Ask questions when they are not sure of the answer. Show their understanding using drawings, materials or written methods.	Self Management Work through a problem solving process. Apply known strategies independently. Solve problems in their own time frame.	Research Use mathematics knowledge to gain greater understanding of ideas and concepts within UOIs. Observe problems. Test ideas. Use standard and nonstandard units to find answers to their questions	Social Ability to work independently and in groups. Show empathy towards others. Don’t call out the answer. Allow others to share their ideas.