Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Thursday, November 8, 2018

Knowing Thy Impact

Knowing Thy Impact
John Hattie's work on Visible Learning is applied to Mathematics in his book titled Visible Learning For Mathematics: What Works Best to Optimize Student Learning.  In this book, the authors examine the plethora of "research-based" instructional practices in an effort to provide recommendations for best-fit teaching.  In a seminar in Toronto this summer, John Hattie recommended that educators resist getting seduced into a single form of instruction and opt for an understanding of the impact of various types of instruction to produce significant results and maximize student achievement.  He labelled it the Goldie Locks approach to instruction:"Not too hard and not too boring". This reminds me of Vygotsky's Zone of Proximal Development.  Matching instructional practices and strategies with the student's readiness to learn.  In sum, Hattie et al.'s framework asks the teacher to consider when particular teaching strategies are most beneficial, and where a student is in his or her understanding of a concept.



Geometry Snacks

Geometry Snacks

I was intrigued by a geometry question I saw on  Twitter which credited authors, Ed Southwell and Vincent Pantaloni.  Geometry Snacks is a great mathematical puzzle book with many geometrical figures that will lead the student through several complex challenges.  The problems are fun, increase in complexity and allow students to see how many approaches one can use to solve a problem.  The first questions could be used to challenge elementary and middle school students, whereas the latter challenges involve the application of higher level mathematics and logic.  Once a student has solved the problem, the authors also provide further challenges. The rich geometric vocabulary makes this little pocket book, an excellent resource for teachers of Mathematics.


A Sample Question for Geometry Snacks as presented by blogger and author Presh Talwalker.



Monday, October 26, 2015

Big Ideas

Over the past couple of weeks, some colleagues and myself put together a chart outlining Mariam Small's "Big Ideas" for the Ontario Math curriculum, and matched these with the specific expectations from it as well; specifically for Grades 6-8. If you are unfamiliar with Small's "Big Ideas", here is a link to a PDF outlining them, with examples. Our document can be found here.

Feel free to use the chart for your own long range plans, and please comment on this post if you notice any need for changes that we should/will make looking forward!