Hine, G. (2017). Proof by mathematical induction: Professional practice for secondary teachers. 26th Biennial Conference of the Australian Association of Mathematics Teachers.
Mathematical induction is a proof technique that can be applied to establish the veracity of mathematical statements. This professional practice paper offers insight into mathematical induction as it pertains to the Australian Curriculum: Mathematics (ACMSM065, ACMSM066) and implications for how secondary teachers might approach this technique with students. In particular, literature on proof—and specifically, mathematical induction—will be presented, and several worked examples will outline the key steps involved in solving problems. After various teaching and learning caveats have been explored, the paper will conclude with some mathematical induction example problems that can be used in the secondary classroom.
mathematical induction, Australian Curriculum: Mathematics, secondary teaching, teaching and learning, solving problems