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Thompson, Ian – Mathematics Teaching, 2012
Ofsted was asked to provide evidence of effective practice in the teaching of early arithmetic, its report entitled; "Good practice in primary mathematics: evidence from 20 successful schools," was published in November 2011. Did this report pass you by? Unfortunately, as with many other reports not blessed with a "high…
Descriptors: Teaching Methods, Mathematics Instruction, Elementary School Mathematics, Evidence
Thompson, Ian – Mathematics Teaching Incorporating Micromath, 2008
In the final article of a series of four, the author deconstructs the primary national strategy's approach to written division. The approach to division is divided into five stages: (1) mental division using partition; (2) short division of TU / U; (3) "expanded" method for HTU / U; (4) short division of HTU / U; and (5) long division.…
Descriptors: Computation, Mathematics Instruction, Arithmetic, Mental Computation
Thompson, Ian – Mathematics Teaching, 2011
Ever since "mental arithmetic" was updated to "mental calculation," official documents have succeeded in perpetuating several basic misconceptions and misunderstandings about this topic. This situation does not augur well for the successful teaching of mental calculation strategies to young children. In this article, the author…
Descriptors: Mental Computation, Arithmetic, Misconceptions, Mathematics Instruction
Thompson, Ian – Mathematics Teaching Incorporating Micromath, 2008
The final report of the Williams committee (DCSF, 2008: 68) argues that the revised mathematics Framework (DfES, 2006) "should be reconsidered to achieve a more suitable, user-friendly form." It might also have added that there is not much help and support in it for early years teachers. A much more useful document is the "Practice guidance for…
Descriptors: National Curriculum, Mathematics Instruction, Teaching Methods, Numbers
Thompson, Ian – Mathematics Teaching Incorporating Micromath, 2008
In this third of a series of four articles, the author deconstructs the primary national strategy's approach to written multiplication. The approach to multiplication, as set out on pages 12 to 15 of the primary national strategy's "Guidance paper" "Calculation" (DfES, 2007), is divided into six stages: (1) mental…
Descriptors: Computation, Multiplication, Teaching Methods, Mathematics Instruction
Thompson, Ian – Mathematics Teaching Incorporating Micromath, 2007
The aim of this series of four articles is to look critically, and in some detail, at the primary strategy approach to written calculation, as set out on pages 5 to 16 of the "Guidance paper" "Calculation." The underlying principle of that approach is that children should use mental methods whenever they are appropriate, whereas for calculations…
Descriptors: Computation, Number Concepts, Mathematics Instruction, Cognitive Processes