The Math Forum at NCTM. The Problems of the Week Program The Math Forum offers an integrated program based on our award-winning Problems of the Week.
The program has three components: Problems of the Week (PoWs) and Write Math: PoWs by Standard, including teacher support materials.Problem Solving and Communication Activity Series, focused on strategic competence and writing fluency.Professional Development for effective implementation, formative assessment, and building mathematical knowledge for teaching. Do the problems with your students, use the Activity Series to develop student confidence and higher order thinking skills, and collaborate with leading experts and fellow teachers through our professional development programs. More information about each component follows. Problems of the Week Problems of the Week (PoWs) are inventive, engaging challenges designed to get your students thinking, talking, and doing mathematics. Problem Solving and Communication Activity Series Professional Development. Weapons of maths destruction: are calculators killing our ability to work it out in our head? Since the 1980s we have had access to calculators of various types.
Today, we can include computers and smartphones – which are attached to our hip 24/7. So does this ubiquitous access to calculators affect our ability to do maths in our heads like we used to? Thirty years ago calculators promised immense opportunity – opportunity, alas, that brought considerable controversy. The sceptics predicted students would not be able to compute even simple calculations mentally or on paper. Multiplication, basic facts, knowledge would disappear.
Math Content Development. Videos of Doing and Teaching Math. Pathways. Techniques. Equity. Research shows how children can enjoy and succeed in math, Stanford expert says. Stanford Report, December 17, 2015 Stanford Professor Jo Boaler says that research findings show how all students can learn to enjoy math and achieve at high levels without suffering from fear or failure.
By Clifton B. Parker Aaron Kehoe Education Professor Jo Boaler (center) observes the work of her students in the Stanford Teacher Education Program. For many students, math class is the subject of nightmares. "All children are different in their mathematical thinking, strengths and interests," said Jo Boaler, a professor of mathematics education at Stanford Graduate School of Education. Scientists Discover 15th Convex Pentagon Able To Tile A Plane. Consider the ceramic on the floor beneath you.
Those squares or rectangles tile the plane. That's a mathematical term, and finding a new shape that covers a flat surface using only exact copies of that one shape without overlapping or leaving any gaps is a mathematical challenge. All triangles can tile the plane, all quadrangles, too. But only 14 pentagons - five-sided shapes - could do it. Or so we thought, to the extent that we thought about this at all. Welcome back to the program. Deborah Ball's Selected Presentations. A veteran teacher turned coach shadows 2 students for 2 days – a sobering lesson learned. The following account comes from a veteran HS teacher who just became a Coach in her building.
Because her experience is so vivid and sobering I have kept her identity anonymous. * Math Struggles 401: Instructional timing and confusion. Brain-based research gives us a clearer picture of the optimal times for learning new content.
According to Sousa in his book, How The Brain Learns Mathematics, there are two “best” times for learning: at the beginning of a lesson and and the end. Using a 40 minute lesson as a model, he explains that the brain’s capacity to download and retain new information declines in the middle of that lesson. This model of learning also makes plain sense. LMR - Development Site. Learning Mathematics through Representations (LMR) is a research-based curriculum unit for the teaching and learning of integers and fractions in the elementary grades, using the number line as the principal representational context.
The curriculum builds on two core ideas: mathematical representations are fundamental to mathematical communication and learning, and curriculum units should be designed as well-orchestrated lesson sequences that support insight and understanding of representational forms. The members of the LMR staff bring expertise in developmental and educational research, curriculum development, pre-service education and professional development, and elementary classroom teaching. The LMR team is led by Geoffrey B. Saxe and includes additional faculty and graduate students in the Graduate School of Education, University of California, Berkeley. Glogin?mobile=1&URI=http%3A%2F%2Fmobile.nytimes.com%2F2014%2F07%2F25%2Fopinion%2Fdont-teach-math-coach-it. When Less Is More: The Case for Teaching Less Math in School. When Less Is More: The Case for Teaching Less Math in School. Beyond teacher egocentrism: design thinking. As teachers we understandably believe that it is the ‘teaching’ that causes learning.
But this is too egocentric a formulation. As I said in my previous post, the learner’s attempts to learn causes all learning. The teaching is a stimulus; the attempted learning (or lack of it) is the response. No matter what the teacher says or does, the learner has to engage with and process the ‘teaching’ if learning is to happen. From this viewpoint, the teacher is merely one resource for learning, no different from a book, a peer, an experience, or an experimental result.
Social Study of Mathematics. Centre for Innovation in Mathematics Teaching.