Lecture Notes Flashcards

Flashcards covering key vocabulary and concepts from the lecture notes.

Principles of Counting

Understanding five principles or rules to counting a collection of items. Understanding may be implicit rather than explicit.

Five Principles of Counting

Stable word order, one-to-one correspondence, cardinal principle, order irrelevance, abstract principle.

Early Arithmetical Strategies

Children develop strategies to solve math problems, determining the number of objects via addition/subtraction. Progresses from counting each object to group counting.

Counting by Ones

Counting each individual item until the total is reached.

Levels of Counting by Ones

Emergent, Perceptual, Figurative, Counting-on.

Emergent Counting

Cannot count a collection of objects; related to the Five Principles of Counting.

Perceptual Counting

Counts a collection by ones, starting from one, requires concrete materials.

Figurative Counting

Counts a collection by ones, starting from one, does not require concrete materials.

Counting-On

Counts a collection by ones, starting from one of the numbers.

Facile Counting Strategies

Strategies using number properties to complete arithmetic tasks by working with groups of numbers.

Facile/Flexible (Group) Counting

Flexible and effortless strategies, use range of choices to find simple solutions to arithmetic tasks.

Sub-elements of Number Sense and Algebra

Counting Processes (CPr), Number Place Value (NPV), Additive Strategies (AdS), Multiplicative Strategies (MuS).

NSW Government Support for Numeracy

A continuum to place students, syllabus explicitly linked to the continuum, formal assessments (SENA1 & SENA2).

CPA Framework

Concrete-Pictorial-Abstract. Framework to guide teaching concepts.

Jerome Bruner's Framework

Enactive-Iconic-Symbolic. Academic language for CPA framework.

Concrete Representation

Action-based learning, involves physical materials; beginning stage.

Pictorial Representation

Use of images to make a mental picture; representation of concrete item.

Abstract Representation

Language or conceptualizing the general case; arbitrary word representing information.