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Stars and bars (combinatorics) In the context of combinatorial mathematics, stars and bars (also called "sticks and stones", [ 1 ] "balls and bars", [ 2 ] and "dots and dividers" [ 3 ]) is a graphical aid for deriving certain combinatorial theorems. It can be used to solve many simple counting problems, such as how many ways there are to put n ...
How to Solve It suggests the following steps when solving a mathematical problem: First, you have to understand the problem. [2] After understanding, make a plan. [3] Carry out the plan. [4] Look back on your work. [5] How could it be better? If this technique fails, Pólya advises: [6] "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more ...
Tasks that involve construction, use, and interpretation of multiple representations can lend themselves to rubric assessment, [7] and other assessment types suitable for open-ended activities. For example, tapping into visualization for math problem solving manifests multiple representations. [1] These multiple representations arise when each student uses their knowledge base and experience ...
A heuristic[ 1 ] or heuristic technique (problem solving, mental shortcut, rule of thumb) [ 2 ][ 3 ][ 4 ][ 5 ] is any approach to problem solving that employs a ...
The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen. The puzzle has appeared under various other names over the years.
Situation, task, action, result. The situation, task, action, result (STAR) format is a technique [1] used by interviewers to gather all the relevant information about a specific capability that the job requires. [citation needed] Situation: The interviewer wants you to present a recent challenging situation in which you found yourself.
Discovery-based learning is typically characterized by having minimal teacher guidance, fewer teacher explanations, solving problems with multiple solutions, use of hand-on materials, minimal repetition and memorization. [4] There are multiple essential components that are required for successful discovery-based learning [5] which include the following:
Fermi problem. A Fermi problem (or Fermi quiz, Fermi question, Fermi estimate), also known as a order-of-magnitude problem (or order-of-magnitude estimate, order estimation), is an estimation problem in physics or engineering education, designed to teach dimensional analysis or approximation of extreme scientific calculations.
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