Mathematics

Mathematics helps young children make sense of the world around them and understand their physical world. Children are inclined to make comparisons, notice similarities and differences in objects and group their toys and materials. The ability to organize information into categories, quantify data and solve problems helps children to learn about time, space and numbers.

When children play in the sandbox, cook applesauce and complete a puzzle, they are engaging in activities that allow them to develop the thinking skills that are naturally used in daily life. Children learn the uses of mathematics to describe and explore relationships among objects and materials in the environment. They increasingly develop the vocabulary and skills to measure, describe patterns and to express order and position.

Children develop ways to solve problems and to think about math.

Learning Goals and Definitions Expectations
1. Play
Children engage in play to develop their mathematical thinking and problem solving.
  • Begin to make groups and match objects.
  • Use counting and number vocabulary as a part of play.
  • Experiment with patterns and shapes.
  • Explore measurement, number and quantity with various materials.
  • Collect and organize information and materials as a natural part of play.
2. Numbers and Operations
Children show interest and curiosity in counting and grouping objects and numbers.
  • Match, sort, put in a series and regroup objects according to one characteristic.
  • Begin to use numbers and counting as a means for solving problems, predicting and measuring quantity.
  • Use one-to-one correspondence in counting objects and matching groups of objects.
  • Begin to associate a number of objects with names and symbols for numbers.
  • Use words such as more than, less than and add/subtract to express some number concepts.

3. Geometry and Spatial Sense
Children show an interest in recognizing and creating shapes and an awareness of position in space.

  • Describe and name common shapes found in the natural environment.
  • Use language to understand the arrangement, order and position of objects that are on top of, next to, on the bottom, underneath, beside and in front of other objects.
  • Group objects according to their shape and size.
4. Patterns and Measurement
Children show an interest in recognizing and creating patterns, comparing and measuring time and quantity.
  • Group and name a number of similar objects into simple categories.
  • Begin to understand that some events take place in the past, present or future.
  • Begin to order, compare or describe objects according to size, length, height and weight using standard or non-standard forms of measurement.
 
  Executive Summary
     
  Link to Family Activities
     
  Introduction
     
  Approaches to Learning
     
  Social and Emotional Development
     
  Language Development
     
  Literacy
     
  Mathematics
     
  Science
     
  Creativity
     
  Physical Health and Development
     
  Glossary

 

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Rhode Island Department of Education, Rhode Island Department of Human Services.