#### re(Solve) mathematics by inquiry

[contributed by Matt Skoss]

reSolve: Maths by Inquiry is a national project that provides Australian schools with resources to help students learn mathematics in an innovative and engaging way. It is led by a team of expert teachers and academics from around the country.

#### The reSolve: Mathematics by Inquiry Protocol

reSolve: Mathematics by Inquiry amplifies existing approaches to teaching mathematics through structured and purposeful investigations of mathematical and realistic contexts. The reSolve Protocol provides a description of key features of school mathematics that underpin the Professional and Classroom resources in reSolve. Expressions of interest in trial ReSolve material is available now.

#### Inquiry Maths Primary

Inquiry Maths primary contains mathematical prompts appropriate for pupils between the ages of six and 10. Children are encouraged to explore, explain their reasoning and begin to think about regulating inquiry. Some of the prompts have been designed specifically for primary classrooms; others appear on the main website, but have been used at primary level.

#### Inquiry Maths

[contributed by Renee Hoareau]

Inquiry Maths is a model of teaching that encourages students to regulate their own activity while exploring a mathematical statement (called a prompt). Inquiries can involve a class on diverse paths of exploration or in listening to a teacher's explanation. In Inquiry Maths, students take responsibility for directing the lesson with the teacher acting as the arbiter of legitimate mathematical activity.

#### Better Questions in Mathematics

[contributed by David Cook]

Can the questions you're asking in the mathematics classroom be answered with a simple “yes” or “no,” or do they invite students to deepen their understanding? Asking better questions can open new doors for students, promoting mathematical thinking and classroom discourse. To help you encourage deeper discussions, here are 100 questions to incorporate into your instruction by Dr. Gladis Kersaint, mathematics expert and advisor.

#### Implementing Mathematical Investigations with Young Children

[research paper Carmel M Diezmann, James J Watters and Lyn D English, Queensland University of Technology]

Engaging children in mathematical investigations is advocated as a means of facilitating mathematical learning. However there is limited guidance for teachers on ways to support young children engaged in investigations. This study provides insights into the mathematical literacy required by seven-to-eight-year-old students undertaking investigations. Examples of difficulties are described in relation to problem solving, representation, manipulation, and reasoning. While mathematical investigations can enhance young children’s learning, teachers need to provide guidance to address necessary skills and knowledge...more

#### Inquiry in the classroom

3 Ps of Inquiry

- Problem based
- Project based
- Passion based

##### Edutopia: Project and Problem based Inquiry

Some educators state that problem-based learning a subset of project-based learning ,that is, one of the ways a teacher could frame a project "to solve a problem".

##### Bringing Inquiry-Based Learning Into Your Class

A four-step approach to using a powerful model that increases student agency in learning.