PPT- Teaching children to reason mathematically 

Anne Watson Ironbridge 2014 University of Oxford Dept of Education Plan Mathematical reasoning In the curriculum The sad case of KS3 geometry Getting formal Support Conjecture The best way to learn about reasoning mathematically is to do some . How to write a really. great paragraph!. Click on me to learn about good paragraphs!. The Topic Sentence (Top Bun). Very first sentence of your paragraph.. Always. needs to be indented.. Tells what your paragraph is going to be about.. If a set of chemical reactions is taking place in a system, a . complete. mathematically independent sub-set is one where every reaction that is . not. included in the complete mathematically independent sub-set can be written as a linear combination of the reactions that . The 22nd International Conference of Adults Learning Mathematics. American Institutes for Research. Alexandria, VA, USA. 13 July 2015. Mathematical Understanding and Public Advocacy. :. Donald Smith. Anne Watson . Professor of Mathematics Education. University of Oxford. February 16. th. 2009. My claim. Personal engagement in mathematics, and reflection on the nature of that engagement, is at the heart of good mathematics teaching, and may make much of what is written about pedagogy redundant.. A PowerPoint to tell you all about teaching….. Well teaching is easy!. Teaching to learn is more challenging!. Transition seems almost impossible!. Meet Ben . FSM – so Ben was ½ as likely to achieve 5a*-C GCSEs including English and mathematics. :. WHY eAssessment?. http://ibo.org/en/programmes/middle-years-programme/assessment-and-exams/assessment-from-2016. /. On. -. screen examinations. High-tech, high-touch digital assessment for today’s students. mathematicians. How can we help to develop them?. Why is it important?. Maths is a language all of it’s own. Eg. : What is the difference between these numbers?. Lets make a bank of other terms which mean something different in the world of maths. CONNECTION. Friend climbing Mount Denali in Alaska. Heavy pack of 130 pounds of supplies. Writing an argument is like climbing a mountain WITH your heavy pack—pounds and pounds of evidence and quotes!. Examples of pupils’ work. Examples are from. Investigation . 2, . Q. 4-5 . "What is the relationship between an original and a mathematically similar shape?". Investigation 3, . Q. 11-12 . "Describe what a scale factor is. Describe how to use it...". outstanding . practice . as . a primary . classteacher. :. lessons . from the literature on teacher expertise. Dr . Tony . Eaude. Department of Education. University of Oxford. tony.eaude@education.ox.ac.uk.  . Ernie:. 80, 81, 83, 79, 82.  . Bert. :. 100, 68, 82, 94, 61. Center Variation =. More than most Americans understand. From “Headlines From A Mathematically Literate World . (http. ://mathwithbaddrawings.com/2013/12/02/headlines-from-a-mathematically-literate-world. #3. :. Opposition:. Name ____________________________________________________ Period _________. Thesis. . ______________________________________________. Transition. Word Examples. Support:. Support:. Teacher Made Materials Expectations Health and safety issues Able to keep clean, durable, no small parts, etc. Connects to benchmark; connects to assessment/developmental profile data Meaningful learning/development, not just “cute” or “fun” (see above) 1ENCYCLICAL OF POPE PIUS XIICONCERNING SOME FALSE OPINIONS THREATENINGTO UNDERMINE THE FOUNDATIONS OF CATHOLIC DOCTRINETO OUR VENERABLE BRETHREN PATRIARCHS PRIMATESARCHBISHOPS BISHIOPS AND OTHER LOCAL