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Cooper, Jason; Pinto, Alon – For the Learning of Mathematics, 2017
"The root of 18 is closer to 4 than it is to 5 because 18 is closer to 16 than it is to 25". Is this statement, voiced in an 8th grade class, valid? We suggest hypothetical arguments upon which this statement might be based, and analyze them from two complementary perspectives--epistemic and pedagogical--drawing on Toulmin's notion of…
Descriptors: Grade 8, Secondary School Mathematics, Inquiry, Mathematical Logic
Russo, James – Australian Primary Mathematics Classroom, 2015
In this article James Russo presents the Strategies, Understanding, Reading and Fast Facts Framework (SURF) for mental computation. He explains how this framework can be used to deepen mathematical understanding and build mental flexibility.
Descriptors: Mental Computation, Teaching Methods, Educational Strategies, Mathematics Achievement
Ormond, Christine A. – Australian Journal of Teacher Education, 2016
This paper discusses the results of a three-year mixed methods study into the effectiveness of a mathematics education unit. This was written for both pre-service primary education students and re-training in-service teachers, to prepare them for the teaching of pre-algebra and early algebra. The unit was taught rom 2013 to 2015 inclusively in a…
Descriptors: Scaffolding (Teaching Technique), Secondary School Mathematics, Algebra, Preservice Teacher Education