Fasters's definitions
A numerical relationship or statement that most kindergarteners and elementary school students reject as being an equation, because in their minds the “answer” or the “sum” must always be on the right side of an equation.
When students don’t consider numerical liaisons like 3 = 2 + 1 and 1 = 3 – 2 as valid equations or mathematical sentences, their responses reveal a fair bit about their thinking processes.
by Fasters May 8, 2022
Get the 3 = 2 + 1 mug.A numerical relationship or statement most kindergarteners and younger elementary school students would reject as being an equation, because in their minds the “answer” or the “sum” must always be on the right side of an equation.
When grades 1–3 students don’t consider numerical liaisons like 3 = 2 + 1 and 1 = 3 – 2 as valid equations or mathematical sentences, their responses reveal a fair bit about their thinking processes.
by Fasters May 8, 2022
Get the 3 = 2 + 1 mug.A mathematical statement most grades K–2 students would disqualify as being an equation, thus revealing their partial understanding of the meaning of an equals sign, which has different meanings.
What percentage of elementary math students (and their teachers and parents) would claim that statements like 1 + 3 = 2, 3 + 2 = 1, and 2 × 3 = 1 aren’t equations, because the sum or product is incorrect?
by Fasters May 9, 2022
Get the 3 + 2 = 1 mug.An equation that shows that multiplying two positive whole numbers doesn’t always make the product larger, and it also shows that the product of two positive whole numbers can be less than its sum.
Isn’t the mathematical sentence 1 × 1 = 1 a numerical curiosity or oddity that should puzzle or excite elementary school teachers, students, and parents, because it shows the idiosyncratic or magical properties of whole numbers?
by Fasters May 9, 2022
Get the 1 × 1 = 1 mug.The nontrivial solution to the equation a + b + c = a × b × c, where a, b, and c are positive integers—the sum and the product of three whole numbers are the same.
Besides 1 + 2 + 3 = 1 × 2 × 3, the numbers 1, 2, and 3 form the set of three integers such that each divides the sum of the other two, and their reciprocals show that the number 1 can be expressed as the sum of three unit fractions: 1 = 1/2 + 1/3 + 1/6.
by Fasters May 11, 2022
Get the 1 + 2 + 3 = 1 × 2 × 3 mug.When more Trumpublican parents and patriots, who believed the 2020 election was stolen from ex-President Trump, are pushing their lawmakers to fine or revoke the licences of state bookstores that sell Singapore math textbooks and workbooks, and also to ban these oft-brain-unfriendly but wallet-friendly titles in local schools, because these foreign K–12 math publications are allegedly detrimental to the mental health of local math-anxious or low self-esteem students.
The MAGA-fication of Singapore math has failed to prevent tens of thousands of homeschoolers in red states every year from ordering value-for-money math titles from the “fine” city for their children, who’re often bored or unchallenged by their dear inch-deep, mile-wide thick colorful math textbooks.
by Fasters September 15, 2022
Get the The MAGA-fication of Singapore Math mug.The key to unlocking success or seeing breakthroughs in your life: speak to God when you are in trouble or suffering; sing praises and psalms to Him when you are cheerful or happy.
When you’re in a valley, look up to God; when you’re on a mountain top, sing songs to Him. In life’s ups and downs, remember to always pray and praise.
by Fasters September 15, 2022
Get the Pray and Praise mug.