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.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.
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.
Making Algebraic Thinking Visible
Making Algebraic Thinking Visible
This clever problem would be an excellent way to lead student's into a dialogue about using different methods to solve a problem. Further, it has an accessible entry where visually a student may be able to deduce the height of the table and it allows other student's to reason algebraically with multiple variables. This could be used in an elementary class as an intro the algebraic inquiry, yet it could also be used as a "minds on" exploration in the senior grades before demonstrating how to solve equations with more than one variable. Overall, it is a gripping challenge and would allow the students to engage in mathematical dialogic investigation.
This clever problem would be an excellent way to lead student's into a dialogue about using different methods to solve a problem. Further, it has an accessible entry where visually a student may be able to deduce the height of the table and it allows other student's to reason algebraically with multiple variables. This could be used in an elementary class as an intro the algebraic inquiry, yet it could also be used as a "minds on" exploration in the senior grades before demonstrating how to solve equations with more than one variable. Overall, it is a gripping challenge and would allow the students to engage in mathematical dialogic investigation.
Watch the video below by Presh Talwalker at Mind Your Decisions to see two methods to solve this problem. It could also be solved using bar modelling from Singapore's Primary Mathematics program.
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.
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.
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