Why Do We Divide Fractions Like That?

One of the things we often do with math is have students memorize algorithms–which is fine! Good, even! Efficiency and automaticity matter, especially for students with low to average working memories. That is, most students, unlike people who majored in mathematics and then became math teachers, don’t have the mental “space” to derive the procedureContinue reading “Why Do We Divide Fractions Like That?”

Homeschooling in the Early Years

I distinguish between parenting during the early years and homeschooling. Homeschooling happens when you introduce formal curricula, and for most children, that won’t happen until the kindergarten years, about age five. When you introduce formal curricula, the curricula should center on reading (decoding and read-alouds), math (with manipulatives), and developing handwriting. I do not recommendContinue reading “Homeschooling in the Early Years”

Ukraine Invasion Booklet

Ukraine has long been a special interest of mine. My great-grandpa Dmitri came from the Ukraine 100 years ago, and my family has always been proud of our heritage. My last name is Ukrainian, not Irish. When the invasion happened, I was glued to the coverage. But I noticed that background knowledge was missing fromContinue reading “Ukraine Invasion Booklet”

Lies, Damn Lies, and Statistics

The Cult of Smart by Fredrik deBoer, 2020, St. Martin’s Publishing What is intelligence? A book whose thesis seems to be ‘the unintelligent will always be with us, so it’s our moral duty to take care of them’ should spend some time carefully defining terms, but instead deBoer uses a slew of synonyms, not unlikeContinue reading “Lies, Damn Lies, and Statistics”

Youngest Child’s Curriculum List, K-2

Math: RightStart A, B, C (primary curriculum) Saxon Math (daily, morning meeting only) Kumon Simple Addition Grade 2 Subtraction Grade 2 Addition Grade 3 Addition & Subtraction My First Book of Money: Counting Coins Math Mammoth Light Blue Series Lollipop Logic: Grades K-2, Book 1 Primarily Logic, Grades 2-4 English Language Arts Reading: All About Reading Pre-readingContinue reading “Youngest Child’s Curriculum List, K-2”

Why Use Discussion Questions?

Written discussion is one of the ways in which teachers can assist students in building camaraderie within the course. Shy students, students with low processing speed, students with facial recognition issues, students with high anxiety levels, students with speech delays, and so on can feel especially isolated. Having written discussions helps give students a low-keyContinue reading “Why Use Discussion Questions?”

Curriculum — and What It Isn’t

Philosophy of Education   Have you got one? Why should you have one? What are the main areas? Contrary to my MA in secondary education, I don’t think this has anything to do with constructivism. That’s a pedagogical style, not a philosophy. Instead, I offer you these four contrasting ideas in tension with each other.Continue reading “Curriculum — and What It Isn’t”