Time for another puzzle! This week, we have a hexagon puzzle, which serves as a good workout both for place value and for problem-solving skills: Click on the picture for a pdf of the puzzle. And here’s the solution:
My apologies for not posting for so long… we’ve recently moved to a new apartment and that has been taking up all of my energy. Starting today, I’m going to try to actually post a puzzle each week, as well as continue explaining my educational philosophy in other posts. This week’s puzzle is a math … Continue reading Math Puzzle Monday!
Time for another puzzle! This week, we have another shape puzzle. We do shape puzzles every day, and I’ve been very pleased with their effect on a child’s mental model of variables. Click on the picture to get a printable pdf: And here’s the solution:
Another Monday, another puzzle! This week, we have a magic square, but a trickier one. In this puzzle, you aren’t immediately given a complete row or column, so you can’t simply solve for the common sum and then solve for all the other entries. There’s a trick to these… can you figure it out? Click … Continue reading Math Puzzle Monday!
Sorry I’ve missed the last two weeks﹣we’ve been a bit too busy around here! I’ll try to keep up with the puzzles (and other posts) moving forward. This week’s puzzle is a crossword. This one uses multiplication as well as addition and subtraction: Click on the puzzle to open a pdf file. And here’s the … Continue reading Math Puzzle Monday!
Time for our weekly puzzle! This week, we have another knight’s tour puzzle. This one is hard to do without a good understanding of place value! Click on the image for a pdf copy of the puzzle. And here’s the solution:
The more I post on this site, the clearer it becomes to me that what I need is a “basics” series: a series in which I explain how I introduce the fundamental building blocks of elementary mathematics. Only in the context of these definitions will the work I do with my kids make sense. What … Continue reading The Basics
Time for another puzzle! This one is an equation grid and it’s relatively straightforward for a child who has a good understanding of place value, the arithmetic operations, and equality. Note that a child does NOT need to be able to actually subtract 27 from 25 to be able to check whether 2 = 25﹣27. … Continue reading Math Puzzle Monday!
In this post, I’m going to give a brief description of how I introduce each arithmetic operation. Due to my focus on mental models, I give a specific definition for each operation and then give the children a lot of time to explore them. This exploration is done in the context of place value. I … Continue reading The Operations
Required Skills: the ability to fluently count on, preferably the ability to read numbers up to 100 by rote (although this can be taught concurrently.) Required Objects: any counters that can be used to distinguish between ones, tens, and eventually hundreds. Inspired by this excellent post, I use differently-colored poker chips, but you could also … Continue reading Lesson Plan: Introducing Place Value
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