Source |
Guidance/Examples/Links/Stimuli |
Strategy Shanghai |
A blog by Tim Brogan (@brogan_mr) about his improving classroom practice. |
Bruner's Stages of Representation |
Jerome Bruner is a psychologist who focused much of his research on the cognitive development of children and how it relates to education.
|
Concrete-Pictorial-Abstract: Surveying its origins and charting its
future |
An article by Leong Yew Hoong, Ho Weng Kin, Cheng Lu Pien of the National Institute of Education, Nanyang Technological University, Singapore.
|
Importance of Concrete |
CPD Video and resources from White Rose Maths Hub about using concrete apparatus. |
Mr Barton podcast |
A podcast by Mr Craig Barton and Bernie Westacott about using manipulatives to support mathematics. |
Improving Learning in Mathematics - Challenges and Strategies |
Standards Unit by Malcolm Swam, University of Nottingham.
|
The Bar Model |
An overview from NCETM of use of the Bar Model for visualisations.
|
Fractions Bar Model
Multiplcation and Division
Addition and Subtraction
[Full Folder]
|
A series of powerpoint shows developed from a workgroup in Kent and Medway. Designed to be used as a self study guide. Download each show and view. |
Bar Method |
A collection of resources by Dawn Denyer about using the Bar Model |
Mastery Moments - Video 1 |
A video 'Moment' from NCETM on answering in full sentences. |
www.thesingaporemaths.com |
Links from their website to modelling problems.
|
Thinking Blocks |
Interactive tutorials for use with the Bar model.
|
Numicon |
Youtube video about using Numicon.
|
Cuisenaire |
Cuisenaire website.
|
MathsBot |
A great website with interactive demonstrations and manipulatves. |
Nrich Directed Numbers |
A nice page from Nrich about adding and subtracting postive and negative numbers. Includes some nice use of double sides counters. |
Manipulatives in Secondary |
A case study, with accompanying lesson slides, in the mastery section of the NCETM website, which profiles a secondary school where the use of representations and physical materials is now
routine in Key Stage 3 maths lessons. |
Primary Shanghai Exchange Feedback |
Mid Exchange report from the NCETM Shanghai Primary Exchange.
|
Nrich Manipulatives |
Report by Jenni Back on the use of manipulatives in the classroom.
|
NRICH Use of Cuisenaire |
List of resources by NRICH on using Cuisenaire.
|
CPA Approach |
Video by Maths no Problem by Dr. Yeap Ban Har on the concrete, pictorial, abstract approach.
|
CPA |
Article by mathteachingstrategies.wordpress.com in the CPA approach.
|
Multiplicative Reasoning |
Resources for CPD by NCETM on developing multiplicative reasoning within the curriculum aimed at KS3.
|
Instructional Guidance |
An article by Jinfa Cai et al (2013) looking at coherence, in particular instructional coherence in the classroom. |
Visual Support |
Visual prompts by iseemaths |
Maths Visuals |
A website by @BerkeleyEverett containing some nice visuals for representing different concepts. |