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Blogs and posts

Blogs on inquiry in primary classrooms
Authentic Inquiry Maths
Bruce Ferrington blogs on the inquiry ideas he tries out in his primary classroom in Canberra, Australia. Bruce wants to "make the kids do the thinking" about mathematical meaning and different forms of representation.
Based in Switzerland, Graeme Anshaw blogs about his PYP classroom in which he uses central ideas to develop inquiry. In his twitter profile, Graeme asks: "How to start an enquiry-based maths revolution? - Behead all the worksheets!"
Chalkboard Inquiries

Paul Aniceto blogs about mindset, talk and assessment in inquiry-based learning in his elementary school classroom in Ontario, Canada. 
Taylor Boyd blogs about establishing classroom and mathematical norms in his grade 2 inquiry classroom in Incheon, Korea.
Posts and reviews
Sonya terBorg writes about using inquiry maths prompts with her PYP class in Idaho (USA) in A math inquiry with attitude. Before using the prompts, Sonya enables pupils to develop their mathematical language about angles and shapes. They then inquire collaboratively before reflecting on their attitude to learning during inquiry.
Maths, wondrous maths: feeding children’s curiosity is a post from Jacob, a primary school teacher in the Norwich area (UK). He discusses how to involve pupils in learning through an inquiry-based approach, using, for example, the prompt below, which is similar to this inquiry maths prompt.

32 x 46 = 1472
23 x 64 = 1472

Bart Miller
who teaches a grade 5/6 class in Tokyo (Japan) reports on an inquiry that he designed on estimation. His post recounts a sequence of episodes through which students developed their understanding. They also deepened their inquiry skills - most notably, the abilities to ask questions and to reflect on the reasoning of other pupils.
A second grade math inquiry recounts an open mathematical inquiry carried out at the Anglo-American School of Moscow (a PYP school). The post discusses how the teacher and pupils defined "free" inquiry, concluding that the pupils were "learning to think, talk and act like mathematicians."
Click here to read Andrew Blair's review of The Numberverse (2014), a book about philosophical inquiry in the primary maths classroom. The review discusses the relationship between the content and processes of inquiry. (Andrew Day, the author, replies to the review.)