If you don't consider yourself a math person, teaching this subject to your children can feel daunting. Amy and Leah dig into Charlotte Mason's principles for teaching math, and how to teach it in a living, meaningful way.
"Never are the operations of Reason more delightful and more perfect than in mathematics. Here men do not begin to reason with a notion which causes them to lean to this side or to that. By degrees, absolute truth unfolds itself. We are so made that truth, absolute and certain truth, is a perfect joy to us; and that is the joy that mathematics afford. " Ourselves
(1:00) Amy is a "math person" with a Bachelor's degree in math, but generally people love math or hate it. Why is math so polarizing?
(1:58) Negative attitudes about math typical derive from parents and teachers. There's a math stigma going on!
(2:45) Math is not a living-book subject.
(3:13) Why did Charlotte Mason think it was important to study math?
(4:15) We don't study math for utilitaritian reasons: we study math because it's beautiful and true.
(6:28) Mathematics depend upon the teacher, and not the curriculum.
(7:35) What makes math different? Why do we not use living books?
(8:35) Math is the study of patterns. We learn patterns of number and patterns of shape, statistics, probability... When we're preparing for a lesson, we can say, "What's the pattern, rule, and truth that we want our child to be in touch with?"
(11:34) Real world examples: The number 5 can be broken down in many different ways. 1+1+1+1+1=5, or 2+3=5. Or, it doesn't matter in what order you put the numbers in addition, it will always have the same value. Whole numbers can be broken down into smaller units, fractions even!
(13:22) Teachers need to be able to take the time to pull out those "captain ideas" of math. How do we plan? Buy the teacher's guide!
(15:10) Using the teacher's guide is the equivalent of pre-reading.
(16:50) Finding just-right math problems.
(18:35) Growth mindset is so important! We can push through and feel victorious when we do something that's a little bit hard.
(19:05) Children can prove math to themselves with manipulatives. "Demonstrate everything demonstrable."
(20:00) In math, you'll find yourself at a disadvantage if you understand the process without understanding the principles behind it.
(24:00) It's so important to start with the concrete. The symbols are just convention.
(24:55) "The teacher must be content to go slowly." Home Education
(31:15) Can we derive a math curriculum from Charlotte Mason's writing?
Home Education (available to read online from Ambleside Online)
Ourselves (Ambleside Online)
"Therefore his progress must be carefully graduated, but there is no subject in which the teacher has a more delightful consciousness of drawing out from day to day new power in the child. Do not offer him a crutch; it is in his own power he must go." Home Education, page 261
"Mathematics depend upon the teacher rather than upon the text-book and few subjects are worse taught; chiefly because teachers have seldom time to give the inspiring ideas, what Coleridge calls, the 'Captain' ideas, which should quicken imagination" Towards a Philosophy of Education, page 233.