Children as Mathematicians: The Interplay between Discourse Structure, Mathematicising, and the Participatory Approach

Table 1

The method of analysis for mathematicising activity.

Discourse moves	Mathematicising	Participatory approach
		Mathematicising strategy	Interaction building
(i) accepting	(i) attention to quantity	(i) evaluation	(i) suggesting a participatory turn
(ii) answering	(ii) number sequencing	(ii) touching ducks one by one	(ii) giving a participatory turn
(iii) commenting	(iii) one-to-one correspondence between a number and the quantity	(iii) pointing at each duck one by one and counting orally	(iii) taking a participatory turn
(iv) continuing	(iv) recognising a written symbol to a quantity	(iv) counting the first five dips in a ten-egg carton and then the second five dips
(v) counting	(v) addition task	(v) story telling
(vi) questioning	(vi) subtraction task	(vi) mathematical story telling
(vii) extending		(vii) subitising
(viii) initiating		(viii) counting mentally
(ix) tutoring
(x) nonverbal participation