1. Name four types of models in learning fractions and how they can
be progressively used in an intermediate phase mathematics
classroom.
1. Area models,
2. Linear models,
3. Set models, and
4. Circular models.
These models can be progressively used in an intermediate phase
mathematics classroom by starting with concrete manipulative, such as
fraction bars or fraction circles, to introduce the concepts of fractions
and their equivalencies. Then, students can move on to using pictorial
representations, such as area or linear models, to understand fraction
concepts in a more abstract way. Finally, students can transition to
using symbolic representations, such as set or circular models, to
further develop their understanding of fractions and their operations.
Throughout this process, students should be encouraged to explain
their reasoning and strategies using appropriate vocabulary.
2. Briefly explain how you will teach or explain to a grade 4
mathematics learner to find all factors of 144, provide all the factors
after explaining?
To teach a fourth-grade math learner to find all the factors of 144, I
would start by explaining what factors are and how they relate to
multiplication. I would explain that factors are all the numbers that can
be multiplied together to get a certain number. Then, I would
demonstrate how to find factors by starting with 1 and testing if it
divides into 144 evenly. If it does, then it is a factor. Next, I would test
2, then 3, then 4, and so on until all of the factors have been found.
3. State and briefly discuss five building blocks that are crucial in the
process of building
relational skill.
1. Empathy: The ability to understand and share the feelings of another
person. Empathy is essential in building relationships as it helps
individuals to connect with others at a deeper emotional level. It
involves putting oneself in another's shoes and viewing things from
their perspective.
2. Active listening: Active listening involves paying attention to and
fully concentrating on what the other person is saying without
interrupting or judging them. It is important in building relationships as
it ensures that individuals feel heard and understood which in turn
fosters trust and respect between parties.
3. Positive communication: Positive communication involves using
language that fosters positivity and builds relationships rather than
tearing them down. It involves using language that is respectful, honest,
and non-judgmental and avoiding language that is condescending or
belittling.
4. Respect: Respect involves treating others with dignity, kindness and
recognizing their values and opinions, even if you do not agree with
them. When individuals respect each other, they are more likely to be
open and honest, which is essential in building strong relationships.
5. Trustworthiness: Trustworthiness involves being reliable, honest,
and consistent in one's actions, words, and behaviors. When individuals
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