PDST Numeracy handbooks: A Guide for teachers Lámhleabhair PDST : Treoir do Mhúinteoirí


The aim of the Teachers' Handbooks are to assist teachers in teaching the strands of the Mathematics curriculum. The manuals are designed to complement and support the implementation of the Primary School Mathematics Curriculum, rather than replace it.

By providing additional guidance in the teaching and learning of each strand unit, the manuals attempt to illuminate an instructional framework (creat teagaisc), for enhancing mathematical thinking.

Learning Trajectories/Conairí Foghlama

The learning trajectories (conairí foghlama) are based on the objectives in the Primary School Mathematics curriculum. In some instances, similar objectives at the same class level have been collapsed into one objective. Objectives that only refer to problem solving have not been included as discrete objectives because a problem solving approach is advocated throughout all of the teaching and learning experiences. Problem solving is viewed as a fundamental, integral part of mathematics teaching and learning that pupils should experience every day

Instructional Framework/creat teagaisc

The manuals attempt to enhance mathematical thinking by attempting to illuminate an instructional framework (creat teagaisc) .

The framework advocates a model of eliciting (ag lorg), supporting (ag tacú) and extending (ag leathnú) higher order mathematics skills such as reasoning; communicating and expressing; integrating and connecting; and applying and problem solving. The instructional framework can be used for all strands and strand units of the Primary School Mathematics Curriculum. Although it does not explicitly refer to concrete materials or manipulatives, the use of these are often a prerequisite for developing mathematical thinking and can be used as a stimulus for this type of classroom discourse.


As advocated in the Primary School Mathematics Curriculum, a range of assessment tools, including pupil-led assessments are recommended. The assessment icon is used throughout the manuals to indicate opportunities for teacher and pupil led assessments. The assessment information garnered as pupils engage in the sample learning experiences within the manuals, will help to inform teaching and learning


The manuals are designed to support individual pupil difference. The trajectories describe the development stages pupils progress through to become fluent in their mathematical understanding. Supporting pupils through the concrete (coincréideach), pictorial (pictiúrtha) and abstract (teibí) stages, ensures each pupil has the opportunity to understand the concept being taught at their own pace. Some pupils will need to spend more time engaging in a variety of hands-on approaches in order to consolidate conceptual understanding. For most pupils, the content of the lesson will remain similar, however the support they receive can be adjusted, for example more individualised support from the teacher, the use of a variety of materials to scaffold understanding, use of appropriate ICT resources etc.

Key Symbols/Eochairshiombail

These key symbols are used throughout all manuals
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