Are your students working on parallel and perpendicular lines? Try out these two Open Middle problems from Bryan Anderson:
www.openmiddle.com/equation...
www.openmiddle.com/equation...
This might be my favorite and most used metaphor about how people often think they're talking about the same thing but later get frustrated because they didn't discuss the details. Learn more about it and what you can do to avoid it.
robertkaplinsky.com/can-goi...
What we think has a huge effect on how we perceive our ability to act. Fortunately, slight changes in how we express ourselves can greatly empower us.
Read more: robertkaplinsky.com/how-mig...
Check out this multiplication chart drawn to scale from Anthony at The Chalkface! This version is so much more intuitive.
Read more here: thechalkfaceblog.wordpress....
Math worksheets rarely give us the results we truly want. There's a better way and I recorded a webinar with elementary and secondary versions that you can watch to learn more.
robertkaplinsky.com/worksheets
Can your high school students create a parallelogram, triangle, or rectangle by listing their points when given one? Find out using these three Open Middle problem from Bryan Anderson.
www.openmiddle.com/creating...
www.openmiddle.com/creating...
www.openmiddle.com/creating...
Looking for a real world context for writing out numbers in expanded form? This problem uses check writing to help kids make sense of the process. Share it with an elementary teacher you know.
robertkaplinsky.com/work/wr...
If you're responsible for creating initiatives and getting people to buy into them, then you know how frustrating it is when they flop. Here's a blog post about a time that happened to me, what I learned, and how I prevent it from happening again.
robertkaplinsky.com/4-make-...
Annie Forest on stage in front of a large crowd with a word cloud on the screen showing words such as math, ashamed, stress, hate.
Annie Forest on stage in front of a large crowd with a quote on the screen saying “sometimes wrong answers are the right answer to a different problem -Marilyn Burns”
Annie Forest on stage with screen showing a continuum from Rachel Lambert’s book.
I had the opportunity to share some mathy ideas as a keynote speaker yesterday. 🎤
Shared a favorite quote from @mburnsmath.bsky.social. Also shared @tracyzager.bsky.social’s book, Slow Reveal Graphs @jennalaib.bsky.social, Open Middle @robertkaplinsky.com & @mathematize4all.bsky.social’s book ✨🥰
Are your high school students working with complex numbers? Try these two Open Middle problems out to see what misconceptions they have:
www.openmiddle.com/complex-...
www.openmiddle.com/complex-...
This lesson uses a BuzzFeed video to help students better visualize calories. It's also a great context for combining like terms and solving one- and two-step equations:
robertkaplinsky.com/work/wh...
Help your students think deeply about radicals with this Open Middle problem from Phillip Haislip-Hansberry. www.openmiddle.com/comparin...
US News and World Report generates millions of dollars in sales each year using a formula for ranking the best colleges. Here's how they used mathematical modeling to create it.
robertkaplinsky.com/math-mo...
Did you know that Hyundai offers a 100,000 mile in countries that use miles and 100,000 km warranty in countries that use the metric system? Are they the same? If not, which is better for the consumer and which is better for Hyundai?
robertkaplinsky.com/work/ca...
If you're frustrated by classroom conversations where students just repeat what the students before them said, consider this psychology-based reason.
robertkaplinsky.com/psychol...
Do you teach students about patterns or functions? If so, you'll love the 400+ patterns on visualpatterns.org from Fawn Nguyen. Enjoy!
If you're a fan of Open Middle and have been looking for your next math PD book, then you should check out Open Middle Math: Problems That Unlock Student Thinking. It'll take you through the whole process so that you're ready to go.
link.robertkaplinsky.com/op...
If your students are learning about perpendicular lines, try out this Open Middle problem from Andy Schwen with them: www.openmiddle.com/perpendi...
Have you ever noticed that pipes can be stacked in staggered or non-staggered stacks? Staggered stacks are shorter, but calculating exactly how much shorter is not easy. This problem can be solved using the Pythagorean Theorem or trig ratios.
robertkaplinsky.com/work/st...
I've come up with my favorite way to think about mathematical modeling. I think it has lots of potential and I'd really appreciate your feedback.
robertkaplinsky.com/mathema...
If your high school students are working on adding vectors, try out this Open Middle problem from Bryan Anderson. www.openmiddle.com/adding-v...
Help students appreciate the magnitude of the problem that littered cigarette butts cause on a daily basis by applying what they know about volume.
robertkaplinsky.com/work/ci...
Here's a matrix multiplication problem from Bryan Anderson that will help you bring out their conceptual understanding. See hints and answers on Open Middle. www.openmiddle.com/matrix-m...
Sometimes teachers use a common assessment and think that everyone's using it for the same reason... but is that always the case? And what are the consequences of everyone being on different pages?
robertkaplinsky.com/why-do-...
A man in Finland received a speeding ticket and had to pay $103,000! The penalty was so harsh because fines in Finland are based not just on the severity of the offense, but on the offender’s income. Can students figure out Vanjoki’s annual income?
robertkaplinsky.com/work/fi...
Online retailer Amazon makes billions of dollars in additional sales each year because they use an algorithm to figure out what products to recommend to you. Here's how they used mathematical modeling to create it.
robertkaplinsky.com/math-mo...
Zandra de Araujo talks about how important choice is when teaching mathematics to English learners in this TODOS webinar:
mathematicallyeducated.com/...
See her online workshop on @grassrootsworkshops.com called How To Teach Math To English Learners here:
grassrootsworkshops.com/wor...
There's a lot I wish I knew in 2017 when I first started doing online workshops. So, I made a webinar to share all my lessons learned. If you also provide professional development to educators online, then you don't want to miss these valuable tips.
robertkaplinsky.com/pdwebinar
Algebra teachers, check out these three rational exponent problems from Bryan Anderson. See the hints and answers on Open Middle:
www.openmiddle.com/rational...
www.openmiddle.com/rational...
www.openmiddle.com/rational...
Looking for a context to teach elementary patterns or high school arithmetic series? We ask elementary students how many Hanukkah candles will we need. We ask high school students how many we would need for n nights.
robertkaplinsky.com/work/ho...
