Trip,a Seventh-Grader,is Having Difficulty Learning Principles of Fractions,such as Two

question 9

Essay

Trip,a seventh-grader,is having difficulty learning principles of fractions,such as two out of five is 2/5,3/5 is less than 2/3,and so on.While his classmates seem to follow most of the examples given in class and in the textbook,Trip feels overwhelmed and confused by them.He is good at other subjects (such as reading and social studies)but is falling behind rapidly in mathematics.Being familiar with Piaget's stages of development,you suspect that Trip is very concrete in his thinking about mathematical principles compared to many of his classmates.
A)Based on the above assessment of Trip's situation,what teaching approaches would Piaget's ideas suggest for making the principles of fractions more understandable to Trip?
B)If Trip is a concrete thinker in mathematics, is he likely to think in similar ways in other subjects? Explain using appropriate ideas from Piaget and Vygotsky.

• A)Based on the above assessment of Trip's situation,what teaching approaches would Piaget's ideas suggest for making the principles of fractions more understandable to Trip?
• B)If Trip is a concrete thinker in mathematics, is he likely to think in similar ways in other subjects? Explain using appropriate ideas from Piaget and Vygotsky.

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Definitions:

Status Quo

The existing state or condition of a situation, which is often seen as the standard or norm.

Entitativity

The perception or degree to which a group is seen as being a coherent, distinct, and unified entity.

Ingroup Bias

The inclination to prefer individuals from one's own group rather than from other groups.

Cohesive

Characterized by or causing unity and togetherness among individuals or elements in a group.