Saturday, December 6, 2014

Chapter 8

Developing Early Number Concepts and Number Sense

 


Promoting Good Beginnings

1.        Enhance children’s natural interest in mathematics and their instinct to use it to make sense of their world.

2.        Build on children’s experiences and knowledge, taking advantage of familiar contexts.

3.        Base mathematics curriculum and teaching practices on a solid understanding of both mathematics and child development.

4.        Use formal and informal experiences in the curriculum and teaching practices to strengthen children’s problem-solving and reasoning processes.

5.        Provide opportunities for children to explain their thinking as they interact with mathematics in deep and sustained ways.

6.        Support children’s learning by thoughtfully and continually assessing children’s mathematical knowledge, skills, and strategies.

The Number Core: Quantity, Counting and Knowing How Many

·         Quantity and the Ability to Subitize

·         Early Counting

·         Numeral Writing and Recognition

·         Counting On & Counting Back

The Relations Core: More Than, Less Than, & Equal To

The concepts of “more,” “less,” and “same’ are basic relationships contributing to the overall concept of number. For all three concepts, children should construct sets using counters as well as make comparisons or choices between two given sets.

Early Number Sense

A “good intuition about numbers and their relationships. It develops gradually as a result of exploring numbers, visualizing them in a variety of contexts, and relating them in ways that are not limited by traditional algorithms.”

Relationships Between Numbers 1 Through 10

·         One and two more, one and two less.

·         Anchoring Numbers to 5 & 10

·         Part-Part-Whole Relationships: To conceptualize a number as being made up of two or more parts is the most important relationship that can be developed about numbers.

Relationships for Numbers 10 Through 20

·         Pre-Place-Value Concepts

·         Extending More Than and Less Than Relationships

Number Sense in Their World

·         Calendar Activities

·         Estimation and Measurement

·         Data Collection & Analysis: Graphing Activities

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