# Mathematical Curiosity

Curiosity –  Can you think of a time when you or your kids were mathematically curious?  When it comes to math it seems that we focus on knowledge not on curiosity.

Jo Boaler’s course interviewed several speakers who have a passion for math, people who have what she calls an ‘inquiry relationship’ with math.

Computer scientist, educator and robotics designer, Sebastian Thrun, spoke about having an intuition. I marvelled when Sebastian Thrun explained how he looks at a math problem and develops an intuitive understanding of the solution. In fact he states that we should not move further with the problem until we have an intuitive understanding.  Then he takes a further two weeks to fully solve the problem mathematically. I marvelled because the intuitive understanding of the solution comes first.

Take a look at the qualities identified in an inquiry relationship:

###### Image from How to Learn Math by Jo Boaler.
• being curious
• making connections
• not worrying about uncertainty or making mistakes
• using intuition
• exciting inquiry – you can solve any problem

As an educator I can only say:  “Help me develop these qualities in the young learners in my classroom!”  In fact help me live my life that way.  It would be ever engaging.

My question is: “How do I give students who do not have the inquiry relationship  – this curiosity,  sense of intuition, and connection that makes math come alive?”

Today my online grade 3 students shared their solutions and processes for solving a math question related to patterns. Afterwards we talked about the things that we do as mathematicians to solve a problem. As a collaborative group, I was pleased with the ideas these grade threes identified. However I need to go further to guide my students to as they make the inquiry relationship their own.

At first they may not see how all this happens but as parents and teachers, model and talk about curiosity, courage, intuition and connections  – students will see what an inquiry relationship looks like.  By identifying attitudes, thought process, a willingness to take risks, and communicating that math is an engaging challenge and fun, I think we can guide students to develop this passion and connection.

There is more.  Intuition and curiosity are linked to understanding and confidence. Jo Boaler describes these qualities as a double helix.

Understanding and Intuition

Confidence and Curiosity

These attributes are iterative, a child must develop the understanding to gain intuition and intuition carries understanding further.  Confidence grows as curiosity is satisfied and curiosity depends on the confidence to explore.

Cultivating those qualities in a math classroom means that as a teacher I  promote, model and identify those qualities as we engage in a mathematical world.

### One Comment

1. Hi Maragaret,
Thanks for sharing this. The curriculum I am working on right now has a focus on inquiry for students in grades 5-9, I think this is such an important thing for students to learn. I have trouble imagining how you can explore this with grade 3s in an online classroom, I am looking forward to reading more about it.
I am glad that you have joined us in #oclmooc, I am looking forward to learning with you.
Rhonda