#190 Atomisation and Unstoppable Learning with Kris Boulton

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May 1, 2024

Expert Kris Boulton discusses atomization in education, breaking down complex processes, teaching methods using taxonomy concepts, identifying mathematical 'atoms' for better instruction, simplifying math expressions, teaching concepts using examples and definitions, importance of examples in teaching, teaching quadratics with examples, using correlated features in teaching, teaching strategies with minimally different examples, and the power of atomization in enhancing student learning.

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INSIGHT

Expertise Induced Blindness Explained

Expertise induced blindness makes obvious concepts invisible to teachers but confusing for students.
Atomisation breaks down knowledge into singularly teachable elements to avoid this invisibility and facilitate learning.

ADVICE

Categorize Atoms to Teach Better

Categorize atoms into types: categorical, comparative, transformation, fact, and process.
Use atom type to select effective teaching strategies for each concept.

ADVICE

How to Identify Atoms

Write down everything students need to know and underline concepts or processes to identify atoms.
Stay sensitive to every idea that may need to be communicated separately to aid understanding.

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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)