[Music] [Music] when we focus on spatial reasoning we're often working with materials there's a kinesthetic aspect there's a visual aspect there's a creative aspect and a very playful aspect to it we started looking at what they were actually doing when they were playing with geometry and spatial reasoning they were composing things using different shapes for example and you can see how that can relate to number sense it all works together in kind of a seamless hole so you can get to fractions you can get to algebraic reasoning you can get to measurement terms and all these Concepts kind of kind of marry themselves well together actually doing by inviting them to engage spatially is that we're getting to see talents that would not necessarily be talents that would be looked for recognized in children and they are coming to see themselves as mathematicians who can do and are competent even if the beginning expression of their mathematics is in spatial when we start doing this work in spatial reasoning we often discover these kids that they often have these strengths in these other areas that have been untapped and for them that you know we discover all of this untapped potential in terms of learning and Mathematics Not only was it helping to build their confidence but sitting down and doing some of these activities was really helping learn the 3vs the visualizing the verbalizing the verifying with spatial reasoning as an approach there's sometimes less language involved and so because of that um the student who might have other kinds of language barriers or challenges could really demonstrate their understanding and build a deep understanding of an idea because they're using a spatial reasoning approach it's enabled students to problem solve in a better way because they're manipulating objects they can change their thinking and um show me more what they're thinking and so they're able to verbalize what they're doing actually and I'm seeing that they're carrying that strategy across the curriculum the classrooms when children are engaged in spatial reasoning activities and these playful activities there is a buzz in the room and when we offer professional development when we're working with teachers there is the same palpable energy in the room that just it I think why I'm most excited about spatial reasoning is that it allows an in to mathematics for everyone you see it all the time kids have this natural um proclivity to build they want to build things they want to construct and that is basically what um composing 3D figures means the way we see it though is a little different we want to kind of mathematize it a bit we want to make it a little more mathematical and that's what we try to do with a lot of these activities but we want to really pull out the mathematics and draw children's attention to the math involved in in building talked about us as spatial beings and how we constantly are manipulating ourselves in time and space and it was like yeah absolutely and bringing that to the kids in playful tasks was so natural once we made that connection that that's where the the most exciting learning was happening just the possibilities it has for making connections across the curriculum we are bringing children important important mathematics but not in the way that many people perhaps frame math all of the activities that we've developed in all of this work have a focus on a playful approach to pedagogy so children are having fun and what we see all the time when we're in classrooms in some of these classrooms we see that uh there's huge enthusiasm for this approach and that's all you really want is for kids really to love math and to see and appreciate it um for what it [Music] is