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Miyazaki, Mikio; Fujita, Taro; Jones, Keith – Educational Studies in Mathematics, 2017
While proof is central to mathematics, difficulties in the teaching and learning of proof are well-recognised internationally. Within the research literature, a number of theoretical frameworks relating to the teaching of different aspects of proof and proving are evident. In our work, we are focusing on secondary school students learning the…
Descriptors: Secondary School Students, Secondary School Mathematics, Mathematical Logic, Validity
Miyazaki, Mikio; Fujita, Taro; Jones, Keith – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Amongst important and under-researched questions are how introductory lessons can be designed for teaching initial proofs to junior high school students, and how such lessons enrich students' understanding of proofs. With a view to improving the learning situation in the classroom, in this paper we report on the various functions of introductory…
Descriptors: Flow Charts, Mathematical Logic, Validity, Introductory Courses