ADDITION AND SUBTRACTION (USING PLACE VALUE) RESEARCH

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Posted by , May 20, 2017 | 0 comments

Janette Bobis, University of Sydney
Mental computation is now receiving greater emphasis in the curriculum and in classrooms across the world than ever before. Janette Bobis’ research demonstrates the importance of the empty number line. Empty Number LineThe empty number line_ Making children’s thinking visible

The National Numeracy Review, commissioned by the Australian Government, includes recommendations across curriculum and pedagogy. National Numeracy Review

Karen Fuson, Northwestern University
Karen Fuson’s research suggests children do not learn place value concepts, or multi-digit addition and subtraction, even children who calculate correctly show little understanding of the procedures they are using. 
Karen C. Fuson: Issues in Place-Value and Multi-digit Addition and Subtraction Learning and Teaching (Free login to jstor.org)

New Zealand Ministry of Education identifies that effective teachers of numeracy demonstrate some distinctive characteristics, including high expectations, emphasise connections between different mathematical ideas, promote the selection and use of strategies that are efficient and effective and emphasise the development of mental skills, challenge students to think by explaining, listening, and problem solving, encourage purposeful discussion, and use systematic assessment and recording methods to monitor student progress and to
record their strategies to inform planning and teaching. NZ Ministry of Education

Adding It Up details the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics from a research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics. Adding It Up_National Academy of Sciences 

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