What if many of the errors students make in math are predictable consequences of the way we teach them? In this episode, Anna is joined by Kristopher Boulton, founder and CEO of Unstoppable Learning to explore how better instructional design can help prevent misconceptions and make difficult math concepts more accessible. Kris insists that it should be possible to achieve 100% success in math for 100% of the students.
They discuss how carefully chosen examples, better sequencing, atomisation, and careful instructional design makes misunderstandings less likely. Kris also shares insights from his experience as a teacher and school leader and his work helping schools improve outcomes in mathematics.
TIMESTAMPS
[00:00:04] Introduction
[00:03:16] Logically faultless communication
[00:08:39] Identifying 4 types of mathematical knowledge make teaching easier
[00:10:13] Type 1: Categorical concepts
[00:12:25] Teaching with examples and non-examples
[00:14:52] The four principles for choosing effective examples
[00:19:59] Type 2: Transformations
[00:26:49] Example of a carefully sequenced math lesson
[00:31:44] Dealing with arithmetic difficulties
[00:39:13] Type 3: Facts
[00:43:23] Type 4: Cognitive routines
[00:44:56] How atoms are different from steps
[00:52:32] Mastering each atom before tackling the full routine
[00:54:11] Quadratic and linear equations
[00:57:51] How atomization is different from scaffolding
[01:02:24] Why this teaching approach is important
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