Kris Boulton returns to the podcast to discuss atomisation and how it can lead to unstoppable learning for our students. You can access the show-notes here: mrbartonmaths.com/blog/atomisation-kris-boulton Timestamps: Atomization in mathematics education, with a focus on expertise-induced blindness and its impact on students' understanding. (10:57) Breaking down complex processes into simpler steps. (15:12) Teaching methods using a taxonomy of seven concepts (categories, comparative, transformation, fact, and process). (19:40) Categorical concepts, comparatives, and transformations in mathematics. (23:43) Identifying and teaching mathematical "atoms" for better instruction. (29:38) Teaching math concepts by breaking them down into smaller, familiar "atoms" to help students understand and build upon them. (38:18) Simplifying math expressions using factoring and atomization. (44:09) Teaching math concepts by breaking them down into smaller, more manageable "atoms" to help students understand and build confidence. (49:48) Categorical concepts in math education, with a focus on non-examples. (53:43) Importance of examples in teaching, with a focus on the limitations of language in conveying concepts. (57:31) Teaching concepts using examples and definitions. (1:03:31) Using correlated features in math teaching. (1:08:50) Teaching quadratics with examples and caveats. (1:13:28) Using examples to teach concepts, including minimally different and maximally different examples. (1:19:20) Teaching language learners using negative examples first. (1:27:01) Teaching math concepts using examples and testing sequences. (1:31:20) Decisions and categorization in math education. (1:35:10) Using language to make math problems easier. (1:39:51) Differentiating between cognitive routines and transformations in math. (1:45:04) Teaching math concepts using different methods. (1:48:25) Teaching math concepts to children using a step-by-step approach. (1:54:18) Using mini whiteboards for testing sequences in math class. (1:59:19) Teaching strategies, emphasizing the importance of interactive learning and using whiteboards. (2:02:36) Using simplified symbols vs. expert-level symbols in math education. (2:07:59) Using continuous conversion in math lessons. (2:12:00) Teaching math concepts using cognitive routines. (2:20:02) Teaching math concepts to students using explicit and implicit methods. (2:25:28) Teaching strategies, including non-examples, identifying concepts, and managing classroom noise. (2:32:03) Math education, examples, and training. (2:35:28) Improving math education with technology and hybrid learning models. (2:39:19) Teaching methods and classroom management. (2:43:42) Teaching math to mixed-ability students, emphasizing the importance of exploration and unveiling mathematical concepts. (2:50:08) Teaching math to high school students, focusing on approach for different learners. (2:53:42) Teaching probability with creative problem-solving strategies. (2:57:47) Breaking down complex math concepts into smaller parts for better understanding. (3:01:57) Sequencing examples in teaching, emphasizing clarity and brevity. (3:06:53) Using "atomization" to teach math concepts more efficiently. (3:11:09)