Chapter 23: Guiding Mathematical Experiences

Vocabulary flashcards covering early childhood mathematics goals, assessment methods, manipulatives, classification types, counting principles, and spatial/time concepts.

Mathematics

The study of numbers, arithmetic, measurement, and geometry, involving reasoning, problem-solving, and communication.

Playful Learning

A learning setting that may include free play, teacher-directed play, or play in a group setting.

Assessment by Observation

An informal math evaluation method based on watching children perform routine tasks such as counting, sorting, pouring liquids, or constructing patterns.

Specific Task Assessment

A method of evaluation that involves giving children set activities or direct prompts to determine their specific math skills.

Color Vision Deficiency

A range of usually inherited vision problems with seeing color, occurring as red-green, blue-yellow, or total absence of color vision, and found more commonly in males.

Attributes

The specific qualities or characteristics of shapes and objects.

Geometry

The area of mathematics focused on developing shape concepts and spatial awareness.

Classification

The process of mentally sorting and grouping objects by a common attribute.

Matching

A type of classification that involves putting like objects together.

Sorting

A type of classification that involves separating objects by their unique features.

Sequencing

A type of classification that involves ordering objects from shortest to tallest or tallest to shortest.

Recognizing

The simplest form of classification, which involves relating past and present experiences.

Set

A group of two or more objects that are alike in some way and therefore belong together.

Members

The individual objects that belong to a set.

Empty Set

A set that contains no members.

Rote Counting

Reciting numbers in order without understanding the quantity they represent.

One-to-One Correspondence

The understanding that one group has the same number as another, ensuring each object is counted exactly once.

Cardinality

The mathematical principle that the last number stated in a counting series represents the total quantity of objects counted.

Rational Counting

The process of attaching a number to a series of grouped objects.

Sequencing Error

A counting error where a child repeats a number, skips a number, or says numbers out of order.

Coordination Error

A counting error that occurs when an object in a series is counted more than once during the counting process.

Tracking Error

A counting error in which an item that has already been counted is recounted.

Number Sense

The fundamental understanding of how numbers work.

Numerals

Written symbols that represent numbers.

Spatial Relationships

The position of people and objects in space relative to each other.