Math Ed SaidSeptember 30: Six different links (some math-related, some not) were shared four times this day, but one stands out to me: "Pentomino Puzzles" by Jon Orr. The post describes an activity using Pentominoes and a hundred grid chart, with students generalizing the patterns they find.
Shared by: Jon Orr, Fred G. Harwood, Rebecca Price, David Keller
October 1: Nautilus published a nice story about Richard Guy called "An 'Infinitely Rich' Mathematician Turns 100."
Shared by: Steve Humble, POWER Org Math, Patrick Honner, Paul Morris, Steven Strogatz, Egan J Chernoff, Carrie Muir
October 2: Dylan Kane wrote about "Discovery," in which he justifies the reasons he thinks it's not always a good idea to let students figure things out for themselves.
Comment: As I mentioned in the comments of Dylan's post, there's some good research from the field of science education that is useful here. Furtak, Seidel, Iverson, and Briggs (2012) did a meta-analysis of inquiry-based science teaching studies and drew distinctions between types of inquiry, including whether inquiry-based activities were teacher-guided or student-led. When compared to traditional instruction, they found that inquiry approaches had positive effects. However, teacher-guided inquiry approaches had a mean effect size more than double the size than for student-led inquiry. In math education, these kinds of results support the push-back against pure "discovery" approaches, which are often described as having little to no teacher guidance. Historically, this also supports Freudenthal's decision to shift his philosophies about learning mathematics from "reinvention" to "guided reinvention," which stressed the role of the teacher in instruction.
Shared by: Dylan Kane, Michael Pershan, Henri Picciotto, Josh Fisher, Jon Orr, Matthew Oldridge, Bryan Meyer
|Cathy Fosnot at the 2015 NCTM Annual Meeting|
Shared by: Pam Harris, Brian Bushart, TCM - NCTM, Katherine Bryant, Christina Moore, Early Math, Jennifer Lawler
October 4: Desmos.com is doing something they call the "Desmos Fellows Potluck," in which they ask for Desmos users to create and share graphs from things that interest them.
Shared by: Desmos.com, Bob Lochel, Dan Anderson, Jennifer Lawler, Mary Bourassa, Michael Fenton, Joshua Bowman
October 5: Jason Merrill shared a model of flipping a water bottle in Desmos.
Shared by: Shauna Hedgepeth, Kate Owens, Brett Parker, Eli Luberoff, Shelley Carranza, Shelby Aaberg, Anna Vance, Denis Sheeran, Michael Fenton, Scott Leverentz, Luke Walsh, Brandi Moore, Andrew Stadel, Chris Lusto, George Carganilla, Chris Adams
October 6: In recognition of World Teachers' Day, Springer has made a number of research articles and book chapters free for the month of October, including the special issue of the Journal of Mathematics Teacher Education that I had an article in, focused on "Mathematics Teachers as Partners in Task Design."
Shared by: Raymond Johnson, Shauna Hedgepeth, Tom Snarsky, Egan J Chernoff, Jennifer Lawler
Around the Math Ed WebThere are only a few hours left to get the early-bird registration discount for the NCTM Regional Conferences in Phoenix and Philadelphia. If you're wanting a discount on Innov8, you have until next Friday, October 14th.
Last week at the Global Math Department meeting, Linda Dacey presented "Unleashing the Power of Math Games and Puzzles, K-5." Next week you can look forward to "Teaching Ideas to Prepare Your Students for the AP Stats Exam" with Amy Hogan, Bob Lochel, and Doug Tyson.
The #TCMchat next Wednesday will focus on the article "Assessming Students' Understanding of Fraction Multiplication."
Research NotesAdded to the Journal of Mathematical Behavior, we have:
- Overcoming a 4th grader's challenges with working-memory via constructivist-based pedagogy and strategic scaffolds: Tia's solutions to challenging multiplicative tasks by Casey Hord, University of Cincinnati; Ron Tzur, University of Colorado Denver; Yan Ping Xin, Purdue University; Luo Si, Purdue University; Rachel H. Kenney, Purdue University; and Jerry Woodward, Ball State University
Math Ed in the News
- Have you ever said, 'I’m bad at math'? Lincoln educator's book trying to help change that (Omaha World-Herald)
- A new era dawns in math education at SIUE (The Edwardsville Intelligencer)
- The Arts Are Trying To Help The Math Education Crisis In South Africa (Utah Public Radio)
- Report Makes Recommendations For Math Education Improvement (CBS Connecticut)
- Math and Science Education - Pencils Down (Quanta Magazine; NOTE: This is a good read!)
- How to Bring Math Into Students' Real Lives (Education Week)
- Emmanuel College senior from Westborough releases math skills app (Hopkinton Crier)
- Howard County school gives parents math lesson (WBAL TV)
- Making a model of math (District Administration Magazine)
- Summer Climb shows growth in reading, math skills (Argus Leader)