## I have A LOT of thoughts on Mathematics. In fact I have an entire Math website. If Math is something that interests you, check out www.meaningfulmathmoments.com

## General thoughts Mathematics...

I must admit that teaching Mathematics is my most favourite subject to teach. In my math lessons, we sing, build, create, play, explore, discover, move, use technology and integrate all other subjects such as art, science, and social studies. There are so many wonderful children's literature books too, that can accompany any lesson and provide wonderful thought provocations for lessons.

When mathematical lessons are designed using inquiry-based approaches they often are thoughtfully created, sometimes connected to real-life situations and are ill-structured. These types of lessons increase student motivation, engagement and encourage students to think creatively, critically and approach problems in multiple ways. The open-ended nature of lessons designed in this way, allows for all students to feel success and learn within their zone of proximal development.

A key difference between teaching mathematics through inquiry based approaches (including problem-based and project-based learning) compared to more explicit, transmissive models, is that the students discover the big ideas in mathematics rather than have them explicitly told to them, which is known to be less effective. Constructivist learning theory tells us that through active, collaborative, experiential, hands-on work students are able to construct knowledge and deepen there understanding in profound ways. Neuroscience supports this approach, believing that this is how people naturally learn. Furthermore, collaborative learning (e.g., having students work together to share their strategies) promotes co-construction of knowledge since students learn from one and others and thus they form a community of learners!

When mathematical lessons are designed using inquiry-based approaches they often are thoughtfully created, sometimes connected to real-life situations and are ill-structured. These types of lessons increase student motivation, engagement and encourage students to think creatively, critically and approach problems in multiple ways. The open-ended nature of lessons designed in this way, allows for all students to feel success and learn within their zone of proximal development.

A key difference between teaching mathematics through inquiry based approaches (including problem-based and project-based learning) compared to more explicit, transmissive models, is that the students discover the big ideas in mathematics rather than have them explicitly told to them, which is known to be less effective. Constructivist learning theory tells us that through active, collaborative, experiential, hands-on work students are able to construct knowledge and deepen there understanding in profound ways. Neuroscience supports this approach, believing that this is how people naturally learn. Furthermore, collaborative learning (e.g., having students work together to share their strategies) promotes co-construction of knowledge since students learn from one and others and thus they form a community of learners!

## Math + Inquiry + Technology = Powerful Learning and Understanding

Here is a link to a blog that I have created to foster a knowledge-building community in this area.

## A MUST see video by Dan Meyer!

## Inquiry Based Approaches to Mathematics

Jo Boaler is a professor of Mathematics at Stanford University.

## Some helpful websites are:

National Council of Teachers of Mathematics (NCTM) lesson ideas site

Let's Play Math

Western and Northern Canadian Protocol Common Curriculum Framework for Mathematics

http://www.eworkshop.on.ca/edu/core.cfm?L=1

Janice Novakowski A Year of Math and Science - Great examples of lessons using inquiry based approaches.

Carole Fullerton Mathematical Thinking

Carollee Norris Focus on Math

Sandra Ball - Starting with the beginning

nrich Mathematics

Connecting Mathematics to Literature

BEAM Mathematics

Let's Play Math

Western and Northern Canadian Protocol Common Curriculum Framework for Mathematics

http://www.eworkshop.on.ca/edu/core.cfm?L=1

Janice Novakowski A Year of Math and Science - Great examples of lessons using inquiry based approaches.

Carole Fullerton Mathematical Thinking

Carollee Norris Focus on Math

Sandra Ball - Starting with the beginning

nrich Mathematics

Connecting Mathematics to Literature

BEAM Mathematics

## Mathematical Word Walls - Using the language of Mathematics

See this great website for printable PDFs for each grade.

## Assessment for/of Mathematics

Here is a good pdf that suggests ways to assess for learning.

This an easy to read article written by Peter Liljedahl about four purposes of assessment.

This an easy to read article written by Peter Liljedahl about four purposes of assessment.

The Galileo Organization has created an excellent rubric for assessing problems. You will find the file link below.

math_problem_solving_rubric.pdf | |

File Size: | 141 kb |

File Type: |

## An example of a whole class lesson on Division

## Good reads:

Neil Stephenson, District Principal of Innovation and Inquiry, is a leading visionary on Inquiry Based Approaches to learning. In this fantastic blogpost, he writes about five ways to hook kids with math.