von Jason Diozzi Vor 13 Jahren
582
Mehr dazu
Ability to identify the number of objects in a collection by visually approximating it, which means counting in clusters rather than one to one.
Step 1: Free Pay
Step 2: Primary Operations and Primary Concepts
Step 3: Manipulatives Activities
Step 4: Recording the Concrete Experience
Step 5: Experience at the Abstract Level
Ability to see the range of the possible answers.
The very nature of math isists that a person must perceive objects, their attributes and their relationships.
Every math concept consists of three components: Linguistic, Conceptual, and Skill.
In most cases, as soon as the child has been provided with appropriate concrete manipulative experiences and effective ways of their use the child learns mathematics much more quickly and effectively.
Teachers should never assume a student is at the formal level of math for that grade. Students need to demonstrate through REPEATED experiecnes their understanding of the abstract.
It is important that the teacher regularly exposes children to the oral use of math terms and at the same time asks them to verbalize their concrete experiences.
A child's success in either of these concepts-visual clustering and estimation, is dependent on the extent of the child's concrete experiences. Thus, to help children in the abstract math activities, the teacher needs to assess the child's level of cognitive development and the extent of concrete experiences he has had.
Every new mathematics concept has its own cognitive complexity, but at the same time it is dependent on many of the earlier concepts because each concept is developmental and cumulative in nature.
Students can rely on one manipulative to solve problems. This can cause an over reliance for the student. To avoid this a teacher needs to present a mathematical concept in more than one concrete material and model.
When and how to remove munipulatives materials as instructional aids in teaching of mathematics cocepts?
Strong and appropriate connections between the learning experiences at different levels must be made.