This document outlines the goals and benefits of an inquiry-based approach to teaching mathematics. It discusses how students learn through asking questions, making conjectures, collaborating with others, and explaining their reasoning. Teachers aim to foster students' curiosity and support independent learning. The goals of inquiry maths curricula internationally include developing reasoning skills, constructive arguments, confidence in communicating mathematics, and independence. The website associated with this document provides math inquiry prompts, lesson resources, guides for creating custom prompts, and materials to support an inquiry-based approach to math instruction.

1. Students learn to
 Ask questions
 Make conjectures
 Plan and monitor their activity
 Explore ideas in collaboration
 Explain their reasoning
 Identify when they need new knowledge
 Ask the teacher for an explanation
 Prove their results

2. Teachers aim to
 Harness students’
curiosity
 Connect concepts and procedures
 Support student regulation
 Co-construct open inquiries
 Combine different forms of reasoning
 Develop students’ initiative,
independence and leadership

3. Why Inquiry Maths?
Curricular aims
Reason mathematically by following a line
of enquiry (National Curriculum, England)
Construct viable arguments and critique the reasoning of others (Common Core
MP3, USA)
Develop confident, creative users and communicators of mathematics, able
to investigate (F-10 Curriculum, Australia)
Employ inductive reasoning, making generalizations based on specific
findings from their investigations.... Use deductive reasoning to assess the
validity of conjectures and to formulate proofs (Ontario Curriculum, Canada)
Encourage students to develop independence and to take responsibility for
their own learning (IB PYP) and to become creative, critical and reflective
thinkers (IB MYP)
Develop thinking; use symbols; manage self; relate to others; participate and
contribute (Key Competencies, New Zealand Curriculum)

4. What is on the site?
 Inquiry prompts for
topics related to the
maths curriculum (suitable for students aged 11-16)
 Notes and resources for each inquiry
 A guide to Inquiry Maths lessons
 Suggestions for creating your own prompt
 Regulatory cards to help students direct
lessons
 Articles and posts on Inquiry Maths