I'm just back from the NCTM National Meeting in Boston, where I promoted the Lab Gear at the Didax booth, and attended a few sessions.One nice thing about NCTM was the opportunity to connect with friends and colleagues who I don't see often enough. Another is running into fans of my work, which happened with… Continue reading NCTM Report: Adaptation
Author: hpicciotto
Logarithms
A young teacher writes:I'm teaching exponential functions and just getting into logs. Everyone tells me that kids tend to struggle with this chapter, so I'd like to try something different than what my school has been doing (just teaching the rules, then practicing over and over again.) Is there a way to introduce logs that… Continue reading Logarithms
Getting Help
In my last post, I described a problem I encountered more than twenty years ago, and my recent attempt at solving it. The problem: Partition the numbers from 1 to 2n into pairs, so that the sum of the numbers in each pair is a perfect square. For what numbers is this possible? I decided… Continue reading Getting Help
I’ve Got a Problem!
Many, many years ago, I saw this problem somewhere: Arrange the whole numbers from 1 to 18 into nine pairs, so that the sum of the numbers in each pair is a perfect square. I liked the problem, and included it in a book I co-authored (Algebra: Themes, Tools, Concepts, following lesson 5.5). In the… Continue reading I’ve Got a Problem!
Pattern Blocks
Geometry of the Parabola
Parabolas are a central topic in high school algebra classes, but, perhaps because of the rigid separation between algebra and geometry classes in the US secondary curriculum, we do not usually treat them as geometric objects. While most teachers are aware of some of the parabola's geometric properties, few of us are familiar with the… Continue reading Geometry of the Parabola
Pie are square
Just in time for π day, I posted an animation that tries to show that the formula for the area of a circle is plausible. Check it out here. It is almost a proof that pie are square!--Henri
Pattern Blocks on Pi Day
I'll be offering a workshop for middle school and high school teachers on March 14 at the American Institute for Mathematics in San Jose. My topic is pattern blocks:<img alt="" height="76" src="data: Pattern blocks are ubiquitous in elementary schools, but they're not commonly seen in middle school or high school. Yet, they do offer plenty of… Continue reading Pattern Blocks on Pi Day
Math for Equity
A couple of years ago, I recommended a few books on complex instruction, an approach to teaching that was refined by a group of teachers in a Bay Area public school nicknamed "Railside", as it sits "on the wrong side of the tracks." My recommendation was based not on reading the books, but on my… Continue reading Math for Equity
Summer Workshops, 2015
I'll be teaching four workshops this summer, in two new locations: Seattle, and Waltham, MA (which is a half-hour West of Boston.) If you've meant to attend my workshops in the past, but couldn't make it to San Francisco, New York, or DC, perhaps these venues are more convenient for you? There will be no… Continue reading Summer Workshops, 2015