In math, students are given opportunities to investigate, predict, and communicate their thinking and reasoning as they learn various mathematical concepts. Connecting math concepts to the real world is something that is encouraged and valued. While students are engaged in their learning they will use many manipulatives, participate in discussions, and perform some paper and pencil tasks. Concepts introduced include numbers, computation, data analysis and statistics, probability, geometry, measurement, and patterns. Although all concepts are important, our focus will be on number sense.
Current research has shown us that there are six levels of understanding mathematics. In the Kindergarten program students will be involved in investigations that will foster and promote these six levels. The six levels are described below:
Intuitive - This is what students come with. It is what they intuitively know and understand about numbers.
Concrete - Students use manipulatives to demonstrate their thinking.
Pictorial - Students create pictures or visuals to demonstrate their thinking.
Abstract - Students use numbers and symbols to demonstrate their thinking.
Application - Students make connections and apply concepts to new situations.
Communication - Students communicate their thinking through words.
Math Web Sites for Teachers
By the end of Kindergarten, children should be able to:
1. Count to 100 by ones and tens.
2. Count twenty objects and record number.
3. Count forward from any number under 100.
4. Use objects/fingers/equations to add and subtract.
5. Use objects to solve story problems. (+ & - within 10)
6. Use objects to decompose & record numbers 10 or less into pairs.
7. Use objects & record work when adding on to make 10.
8. Fluently add and subtract within 5.
9. Record work, compose and decompose numbers 11-19 (10+?)
10. Describe measurable attributes of an object inc. length
11. Compare & contrasts two objects with the same attribute.
12. Classify,sort, count, order objects in each category.
13. Identify & describe six common shapes.
14. Compare and contrast 2 and 3 dimensional shapes.
15. Describe objects in the environment w/shape & position names.
16. Build and draw six common shapes.
17. Put simple shapes together to form new shapes.