Teaching with Multiple Representations

Complete Mathematics/Teaching with Multiple Representations

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Teaching with Multiple Representations

In order to effectively communicate the technical detail of mathematics to our pupils, we must utilise multiple representations. However, this cannot be done in a tokenistic way as it will do more damage than good! In this course, we focus on some key mathematical ideas and show how offering multiple representations at particular points in the learning can significantly improve understanding.

Contents

An introduction to multiple representations

Representational Fluency

Numberness and Counting

Multiple Manipulatives

MR 4

Number Machines

Pythagoras

The Mean...

Not another grid model...

A task

Further reading

In this section, we have curated some of the best academic papers and journals to support the view that teaching with multiple representations is paramount to a better understanding of mathematics.

Mathematical Representations (Salkind, 2007)

A Model for Understanding, Using, and Connecting Representations (Clement)

Making Conceptual Knowledge Connections to Clear Misconceptions in Fractions in Primary Classrooms (Pal, 2014)

Translations Among Mathematical Representations: Teacher Beliefs and Practices (Bosse et al., 2011)

Representational Competence: A Renewed Focus for Classroom Practice in Mathematics (Huinker, 2015)

The Examination of Representations used by Classroom Teacher Candidates in Solving Mathematical Problems (Bal, 2014)

Preschool Children’s Understanding of Numbers from the Multiple Representation Perspective (Ayub et al., 2013)

THE DEVELOPMENT OF STRUCTURE IN THE NUMBER SYSTEM (Thomas, 2004)