Explain this
Mental Images Listing
The Gaps and Misconceptions Tool was developed by Devon LDP ©2011 and has been made available here by kind permission.
Research references: Devon Learning and Development Partnership
The Gaps and Misconceptions Tool is an interactive, web-based diagnostic tool to support teachers in dealing with children's gaps and misconceptions in maths.
The Gaps and Misconceptions tool was written and created by the Devon Primary Maths Team (part of Devon Learning and Development Partnership) and is made available, with thanks, on the ATM website.
The Gaps and Misconceptions Tool deals with three key areas that the QCA regularly reports are areas of weakness exhibited by KS1 and KS2 children in end of KS SATs and optional QCA tests: subtraction, division and FDPRP (fractions, decimals, percentages, ratio and proportion). The Gaps and Misconceptions Tool includes guidance papers on what makes these areas difficult to teach.
- Mental Images for Division
- Mental Images for Fractions, Decimals, Percentages, Ratio and Proportion (FDPRP)
- Mental Images for Subtraction
The Gaps and Misconceptions Tool links objectives related to the three areas to appropriate probing questions to support diagnosis of specific misconceptions or gaps. These, in turn, are linked to teaching images to address the difficulties that children are encountering.
Mental Images for Division
These connect with the Division objectives listed here
- Array
- Bead String or Bar
- Bead String or Bar (Remainder)
- Counting Stick
- ITP Grouping
- Jottings For Division As Grouping
- Jottings For Division As Sharing
- Linking Counting to Grouping (Remainder)
- Linking Counting To Grouping
- Linking Halving To Sharing
- Linking Jotting To Written Method
- Paper Strip Number Line (Fraction or Decimal Remainder)
- What Else Do You Know?
- Pattern
- Number Line
- Sharing Tree
- Area
Mental Images for Fractions, Decimals, Percentages, Ratio and Proportion (FDPRP)
These connect with the FDPRP objectives listed here
- Arrow Cards
- Counting in Fractions
- Decimal Pattern
- Fraction and Decimal Notation
- Fraction and Decimal Number Line
- Fraction Wall
- ITP Fractions
- Linking Fractions and Division
- Number Line (Rounding)
- Understanding and Using the Terms Numerator and Denominator
- OHP Calculator
- Dienes
Mental Images for Subtraction
These connect with the Subtraction objectives listed here
- 100 Square for Subtracting 10
- Bead String or Bar (Difference = Take Away)
- Bead String or Bar Bridging
- Bead String or Bar Subtract 10
- Choose, DON’T Use
- Counting Stick
- Difference = Take Away
- ITP Difference
- Jotting
- Linking Counting to Addition and Subtraction
- Linking Counting to Difference
- Multilink
- Number Line
- Numicon
- Place Value Chart
- Related Addition/Subtraction Facts on a Number Line
- Represent Two Numbers
- Strips of Paper
- Number Sentence
- Count the Jumps
