Download Key Concepts in Teaching Primary Mathematics (SAGE Key by Derek Haylock PDF

By Derek Haylock

Protecting the major ideas and ideas within the instructing and studying of arithmetic in common faculties, this article presents trainee and practising lecturers with a short and simple connection with what they should understand for his or her direction, and within the lecture room. The entries are prepared alphabetically, and every features a short definition, via a proof and dialogue, useful examples, and annotated feedback for additional interpreting.

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Learners are shown a transparent tumbler with water inside. They are then asked to imagine the tumbler being tilted to one side and to draw it with the water inside. Many children draw the water level parallel to the top of the tumbler rather than parallel to the ground, as illustrated in Figure 3. To provide the cognitive conflict for learners to reorganize their ideas, a horizontal line could be drawn on the actual tumbler, to show the level of the water; the tumbler would then be tipped slowly and the children asked what they notice and to compare this with their predictions.

Principle learning. key concepts in teaching primar y mathematics Conser vation of Quantity 32 DEFINITION In mathematics and science, conservation of quantity refers to the principle that quantities such as number, length, mass and volume are invariant under certain transformations. Pupils’ confident and appropriate use of the principle of conservation of such quantities is a key indicator of their developing understanding. EXPLANATION AND DISCUSSION Conservation of mass is the principle that the mass of a certain quantity of material is unchanged if the material is transformed in shape or position.

2005) show how the assessment tools of the Mathematics Recovery Programme, developed in Australia, can help teachers to diagnose the difficulties of those who underachieve in early numeracy. Headington (2000) gives useful guidance on assessment for trainee teachers, with illustrations of trainees’ assessments of children’s work. RELATED ENTRIES Assessment for learning. Differentiation. Errors. Questioning. Cognitive Conflict DEFINITION Cognitive conflict is where learners are faced with discrepancies or conflicting ideas, or a result that differs from their prediction or conflicts with their existing understanding.

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