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Math - Core Subjects EC-6 (291) Questions
and Answers (100% Correct Answers) Already
Graded A+
NCTM Ans: National Council of Teachers of Mathematics
Principles and Standards for School Mathematics (2000) Ans: 6
principles:
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1. Equity - high expectations and strong support for ALL students.
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2. Curriculum - coherent, focused, well-articulated math concepts
across all grades.
3. Teaching - understanding what is known and what is needed to learn
while challenging students to learn it well.
4. Learning - learn with understanding.
5. Assessment - support the learning and furnish useful info to teachers
and students.
6. Technology - essential; its enhances and facilitates learning.
Divisor Ans: The number by which a dividend is divided.
Dividend Ans: A number that is divided by another number.
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Quotient Ans: The answer to a division problem.
Inductive teaching Ans: Learning through examples.
Deductive teaching Ans: Learning step by step.
Nomenclature Ans: The act or process or an instance of naming
nomenclature. A system or set of terms or symbols especially in a
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particular discipline (like math).
Challenges faced in math by ELLs Ans: 1. Math classroom tends to
assume students have prior knowledge of specialized terms.
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2. The terms can have multiple meanings depending on the subject.
3. The vocabulary encompasses a variety of homophones (pronounced
same, different meaning).
Denominator Ans: The quantity below the line in a fraction. It tells how
many equal parts are in the whole.
Numerator Ans: The top number of a fraction that tells how many parts
of a whole are being considered.
Minuend Ans: The number that is to be subtracted from.
Subtrahend Ans: The number that is to be subtracted.
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Rational number Ans: Any number that can be expressed as a ratio or
quotient of two non-zero integers. Can be expressed as fractions or
decimals.
Rote counting Ans: Verbal repetition of numbers.
Begins around 2-3 yo.
Autonomy Ans: Self-government, freedom, independence.
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Discrete models Ans: Math based on distinct values; finite possibilities. Ex.
The use of counters.
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Continuous models Ans: Math based on the continuous number line;
real numbers; infinite possibilities.
Algorithm Ans: A step-by-step procedure for solving a problem.
Jean Piaget Ans: Developmental biologist.
Observed and recorded the intellectual abilities of infants, children, and
adolescents.
4 stages of intellectual development.
Theory concerned with the growth of intelligence, the emergence and
acquisition of schemata, or schemes of a child using "developmental
stages", to explain how children acquire new information.
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Preoperational thought Ans: A pattern of thinking that is egocentric,
centered, irreversible, and nontransformational.
Piaget's 4 stages of intellectual development Ans: 1. Sensorimotor Stage
(birth-2 years)
2. Preoperational Stage (years 2-7)
3. Concrete Operational Stage (years 7-11)
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4 Formal Operational Stage (years 11-adult)
Preoperational Stage Ans: Processes of symbolic functioning, centration,
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intuitive thought, egocentrism, and inability to conserve.
Concrete Operational Stage Ans: Exhibit developmental processes of
decentering, reversibility, conservation, serialization, classification, and
elimitation of egocentrism.
Formal Operation Stage Ans: Focus on the ability to use symbols and
think abstractly.
Problems in Preoperational Stage Ans: Sperry Smith
1. Centration - focusing on only one aspect of a situation or problem.
Ex. Differently shaped containers holding the same volume is not
understandable yet.