Charlotte Mason Math: Practical Tips for a Living Math Education

“Two and two make four and cannot by any possibility that the universe affords be made to make five or three. From this point of view, of immutable law, children should approach Mathematics; they should see how impressive is Euclid’s ‘Which is absurd,’ just as absurd as would be the statements of a man who said that his apples always fell upwards, and for the same reason.”

 — Charlotte Mason, Towards a Philosophy of Education

“Most remarks made by children consist of correct ideas badly expressed. A good teacher will be wary of saying ‘No, that’s wrong.’ Rather, he will try to discover the correct idea behind the inadequate expression. This is one of the most important principles in the whole of the art of teaching.”

 — W. W. Sawyer, Vision in Elementary Mathematics

“You may rely on it that what is called ability — a different thing from genius, mind you, or even talent — ability is simply the power of fixing the attention steadily on the matter in hand, and success in life turns upon this cultivated power far more than on any natural faculty.”

 — Charlotte Mason, Formation of Character

“The operative word that unifies art and mathematics is seeing. More precisely, art and mathematics are both about seeing relationships.”

—Nat Friedman

“The child, who has been allowed to think and not compelled to cram, hails the new study with delight when the due time for it arrives. The reason why mathematics are a great study is because there exists in the normal mind an affinity and capacity for this study; and too great an elaboration, whether of teaching or of preparation, has, I think, a tendency to take the edge off this manner of intellectual interest.”

 — Charlotte Mason, Home Education

“The approach where you have an idea in your head of how it should be done and you try to get the student to fill in the blanks is called funnelling. It’s actually a rather unpleasant experience as a student to be funnelled by a teacher. You don’t know what the teacher is getting at, and often you feel like there is a key piece of information they are withholding from you, and when it comes, the punchline feels rather flat.”

—David Butler

“Care must be taken to give the child such problems as he can work, but yet which are difficult enough to cause him some little mental effort.”

 — Charlotte Mason, Home Education

“We are all mathematicians. We all have the power to notice, describe, and generalize patterns. You have all had this ability since birth. If we believe this then every day we must plan lessons that allow students to act as mathematicians. We must put something in front of our students to notice. We must put something in front of our students to describe, to generalize.”

—Sara VanDerWerf

“The happy truth about doing math with your kids is that it’s way more fun than you’re expecting it to be. It’s not about right answers, and it’s not about speed. It’s about playing, counting, building, sorting, and studying the wonderful, colorful world around us.”

—Dan Finkel and Katherine Cook

“We take strong ground when we appeal to the beauty and truth of Mathematics … Mathematics are to be studied for their own sake and not as they make for general intelligence and grasp of mind. But then how profoundly worthy are these subjects of study for their own sake, to say nothing of other great branches of knowledge to which they are ancillary!”

 — Charlotte Mason, Towards a Philosophy of Education