These articles, written by Andrew Blair, were published in Mathematics Teaching (the journal of the Association of Teachers of Mathematics):
Inquiry Maths: an idea whose time has come (2014) looks at the nature of inquiry in the work of Dewey, Bruner and a recent EU-funded project. It shows how inquiry is compatible with the inductive and deductive nature of mathematics.
Inquiry Teaching (2008) discusses the theory behind the inquiry maths model. The article argues that only inquiry lessons can harmonise the conceptual content of lessons with the method of learning.
Find advice on classroom-based research about mathematical inquiry here.
Blog posts about Inquiry Maths
Amanda Klahn (a PYP teacher at the Western Academy of Beijing) blogs about using Inquiry Maths prompts and the mathematical inquiries her class carries out. Her blog is called Doing Maths: From Worksheets to Wonderings
Emma Morgan
writes on her blog that using Inquiry Maths has turned her students into "active learners 
who are fearless and methodical when attacking a problem." Emma has designed guided posters to help students present their mathematical reasoning. 
Luke Pearce writes about his first inquiry with a group of year 7 students: "The process gave the students the experience of being real mathematicians, something which is far too rarely the case in schools. They loved it." Read Luke's blog post here and see a report of the inquiry on this page under the title 'Number into algebra through inquiry'.
Sonya terBorg
blogs about using Inquiry Maths prompts with her primary class in Idaho (US). The post describes how the class carried out a preliminary inquiry into concepts and language related to angles. The pupils then conducted an open and collaborative inquiry into the prompts by applying the language acquired earlier.
Caitriona Martin blogs about using Inquiry Maths on a Year 7 maths day. The post gives advice on selecting prompts for students and teachers new to inquiry.
What is Inquiry Maths?
im  Levels of Inquiry Maths
im  The differences between investigations and inquiries
im  Inquiry and problem solving
Inquiry Maths in the classroom
im  Inquiry without students' questions is not inquiry
im  Independence through structure
im  10 things students learn in Inquiry Maths classrooms
im  The need for a slow start to inquiry
im  Seven steps to start an inquiry in maths
im  The teacher's role in inquiry
im  Introducing Inquiry Maths into a department
Inquiry and mastery
A series of posts on defining 'mastery' and analysing the connection between a mastery approach and inquiry.
im  The final part replies to the NCETM's comments on part 2.
im  Part 2 reviews the NCETM's backing for mastery.
im  Part 1 analyses the initial appearance of mastery in the UK.

“This is a significant, must-read piece of writing which offers key ideas relating learning with problem solving.” Mike Ollerton (author of Learning and Teaching Mathematics Without a Textbook)
Inquiry and Shanghai maths
Since an international comparison of maths achievement (PISA) put Shanghai top in 2012, the UK government has promoted Shanghai methods. Through two exchanges, Chinese teachers have modelled the methods in UK classrooms. These two posts compare the Shanghai model to inquiry learning.
im  Inquiry and Shanghai maths 
im  Shanghai maths: teacher led and student centred?
Find more posts about Inquiry Maths here (including the philosophy of inquiry).
See conference and workshop presentations and listen to a TES podcast on Inquiry Maths here.

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