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Related Concept Videos

Solving Problems in Physics02:32

Solving Problems in Physics

Problem-solving is the ability to apply general physical principles to specific situations, usually expressed by equations. It is an essential skill in physics, and can also be useful for applying physics in everyday life as well. Analytical skills and problem-solving abilities can be applied to new situations, compared to a list of facts, which can never be extensive enough to include every possible circumstance. To solve physics problems, a certain amount of creativity and insight is...
Critical Thinking01:19

Critical Thinking

Critical thinking involves reflective and productive thinking and the evaluation of evidence. Critical thinkers seek to understand the deeper meaning of ideas, question assumptions, and make independent decisions about what to believe or do. Scientists, for instance, are often critical thinkers. Critical thinking also requires humility about what we know and don't know and the motivation to look beyond the obvious. It is essential for effective problem-solving.
Colleges and universities are...
Newton’s Method01:30

Newton’s Method

Newton’s Method is a powerful iterative technique for approximating the roots of real-valued, differentiable functions, particularly when analytical solutions are impractical. This approach is widely used in scientific computing, engineering, and finance, where equations may be too complex for traditional algebraic methods to handle. The method relies on an iterative process that refines an initial estimate using the function’s derivative to approach the true solution progressively.
Mathematical Modeling: Problem Solving01:29

Mathematical Modeling: Problem Solving

Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
Mathematical Induction01:29

Mathematical Induction

Mathematical induction is a structured method of proof used to confirm the truth of statements involving natural numbers. Consider the sum of the first n natural numbers:This formula describes a pattern that appears to hold true as more terms are added. To verify that it is valid for all natural numbers, mathematical induction proceeds in two essential steps. The first is the base case, where the formula is tested for the initial value, typically n = 1. Substituting into both sides confirms the...
Increasing Function01:18

Increasing Function

An increasing function exhibits a rise in output values as input values increase. This behavior is depicted graphically as a curve or line that slopes upward from left to right. Such a function satisfies the condition that if x1 < x2, then f(x1) < f(x2), indicating that the function values grow with increasing inputs. This concept is fundamental in understanding growth trends across various domains, such as population dynamics, financial investments, or resource consumption.The average...

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Ole Isacson: Development of New Therapies for Parkinson's Disease
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TEACHER TRAINING: How to Produce Better Math and Science Teachers.

J Mervis

    Science (New York, N.Y.)
    |September 11, 2007
    PubMed
    Summary
    This summary is machine-generated.

    Two National Research Council panels suggest improving U.S. science and math education through continuous teacher preparation and supporting recent Ph.D.s transitioning to high school teaching roles.

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    Area of Science:

    • Education Policy
    • STEM Education
    • Teacher Professional Development

    Background:

    • Two National Research Council panels convened to address challenges in U.S. science and math education.
    • Existing teacher preparation and certification pathways present barriers to effective STEM instruction.

    Purpose of the Study:

    • To propose actionable strategies for enhancing the quality of science and math education.
    • To identify pathways for increasing the number of qualified STEM teachers in secondary schools.

    Main Methods:

    • Analysis of current teacher education models.
    • Review of potential incentives for individuals with advanced science degrees to enter teaching.

    Main Results:

    • Panel 1 recommends a continuum model for teacher education, emphasizing school district and university collaboration.
    • Panel 2 indicates recent science Ph.D.s are willing to teach high school if supported through transition, streamlined certification, and research connections.

    Conclusions:

    • Implementing a continuous, collaborative teacher education model is crucial for improving STEM instruction.
    • Policy changes supporting Ph.D. transition into teaching can address STEM teacher shortages.