#190 Atomisation and Unstoppable Learning with Kris Boulton

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)