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Early Numeracy

Early Numeracy
Assessment for Teaching and Intervention

Second Edition

January 2006 | 224 pages | SAGE Publications Ltd

This best-selling text has been fully updated to include developments and refinements brought about by widespread international application of the assessment tools in the acclaimed Mathematics Recovery Program. This revised version of Early Numeracy: Assessment for Teaching and Intervention helps teachers identify children's difficulties and misconceptions, and become more skilled and confident in planning programs for intervention and monitoring children's progress.

This new edition includes:

  • Integrated frameworks of tasks for assessing children's knowledge and strategies
  • Four separate and revised diagnostic assessment interviews
  • Assessments for addition and subtraction strategies, base ten arithmetical strategies, early grouping strategies, and advanced grouping strategies
Children, Numeracy and Mathematics Recovery
The Learning Framework in Number
The LFIN and the Assessment Interview Schedule 1.1
The Stages of Early Arithmetical Learning (SEAL)
Identifying the Stages of Early Arithmetical Learning
Assessment Interview Schedule 1.2
Part C of the LFIN: Assessment Interview Schedules 2.1 and 2.2
Assessment Interview Schedules 3.1 and 3.2
Recording, Coding and Analyzing the Assessment Interview Schedules
Linking the Assessment to Teaching
Appendix 1: Assessment Interview Schedule 1.1
Appendix 2: Assessment Interview Schedule 1.2
Appendix 3: Assessment Interview Schedule 2.1
Appendix 4: Assessment Interview Schedule 2.2
Appendix 5: Assessment Interview Schedule 3.1
Appendix 6: Assessment Interview Schedule 3.2
Appendix 7: Learning Framework in Number
Appendix 8: Instructional Framework for Early Number
Appendix 9: Linking the Diagnostic Assessment Interviews to the
Learning Framework in Number
Appendix 10: Required Materials
Appendix 11: The Mathematics Recovery Coding Schedule

'Unlike many book based on research work this book doesn't just let teachers know what is going wrong with children's learning it actually gives some practical advice about what to do next. The whole book is based upon extensive observation and recording of individual children and their difficulties with mathematics. These children are the most difficult to plan for in a busy classroom and the authors appreciate the small steps and the different learning styles approaches needed for these children. This approach fits well with the NNS wave and springboard materials but takes the analysis of the individual's difficulties to a more detailed level. The book brings together research carried out across a range of countries and therefore shows the versatility of the approaches taken. This will be a very useful book for trainee teachers as it exemplifies how to use assessment to feed into teaching. It will be helpful for class teachers and mathematics co-ordinators as well as SENCOs to assist in improving the teaching and learning for specific children in our schools' - Mary Briggs, Primary and Early Years PGCE Co-ordinator, Institute of Education, University of Warwick

'This is a highly practical resource that will be appreciated by classroom and specialist teachers alike. It will provide teachers new to the Math Recovery program with practical help and support to diagnose errors and misconceptions in early numeracy. Practicing Math Recovery Specialists will be thrilled with the addition of four new highly focused assessments and an elaboration of the Learning Framework in Number.

Early Numeracy is admirably grounded in international research and well-established theory, characteristics that are much sought after in the current data driven educational environment.

Like many others, I was drawn to Math Recovery after reading the first edition of Early Numeracy. This second edition is a treasure - it is exciting to consider the impact it will have on children and teachers, and to the growth of the Math Recovery program' - Audrey Murray, Lead Teacher, Midwest Math Recovery Training Center, Minneapolis

This is a useful and comprehensive guide to assessment of early numeracy that will be useful for the library.

Mrs Rachel Wallis
Swansea School of Education, Swansea Metropolitan University
August 11, 2016

Given as extra reading for early years specialists.

Mrs Rosalind Coleridge
School of Arts and Education, Middlesex University
June 23, 2011

This is a thorough text, but specifically refers to maths recovery assessment. At this time we are looking for a more general text on maths assessment, so it does not serve our purpose. It does however offer practical advice on how to identify misconceptions and support children when addressing them.

Mrs Michelle Williams
applied health sciences, Farnborough College of Technology
November 7, 2010

New to the 2nd edition:

• fully updated to include developments and refinements brought about by the widespread international application of the assessment tools in the Mathematics Recovery Programme
• integrated frameworks of useful tasks for assessing children's number knowledge and strategies
• four separate and revised diagnostic assessment interviews 
• assessments for addition and subtraction strategies, Base Ten Arithmetical strategies, Early Grouping strategies, and Advanced Grouping strategies in the four operations
• how the assessment process has impacted significantly on teachers' professional development and contributed to the raising of standards in early numeracy

Preview this book

Sample Materials & Chapters


Robert J Wright

Dr Robert J. (Bob) Wright holds Bachelor’s and Master’s degrees in mathematics from the University of Queensland (Australia) and a doctoral degree in mathematics education from the University of Georgia. He is an adjunct professor in mathematics education at Southern Cross University in New South Wales. Bob is an inter­nationally recognized leader in assessment and instruction relating to children’s early arithmetical knowledge and strategies, publishing six books, and many articles and papers in this field. His work over the last 25 years has included the development of the Mathematics Recovery Program, which focuses on providing... More About Author

James Martland

Jim Martland is a member of the International Board of Mathematics Recovery and Founder of the Mathematics Recovery Council (UK and Ireland). He was a Senior Fellow in the Department of Education at the University of Liverpool. In his long career in education he has held headships in primary and middle schools and was Director of Primary Initial Teacher Training. In all the posts he continued to teach and pursue research in primary mathematics. His current work is with local education authorities in the UK and Canada, delivering professional development courses on assessing children’s difficulties in numeracy and designing and evaluating... More About Author

Ann K Stafford