# Solving Problem Solving Problems With Metaphor Essay

# Solving Problem Solving Problems With Metaphor Essay

**Length:** 1869 words (5.3 double-spaced pages)

**Rating:** Better Essays

#### Essay Preview

“Problems are often open-ended, paradoxical, and sometimes unsolvable, and require investigation before one can come close to a solution” (Zeitz x). When problems in a field can be defined as “open-ended, paradoxical, and sometimes unsolvable,” (Zeitz x) one might be able to reasonably assume that the field is difficult to conceptualize. Problem solving is a field of mathematics specifically designed around solving mathematics-related problems in competitions. Unlike the academic competitions seen in movies like “Mean Girls” or on trivia shows like “Jeopardy,” math competitions like The William Lowell Putnam Mathematical Competition are more akin to taking a test, where contestants write out proofs to complex mathematical concepts within a time limit of a few hours or so. These questions can range from trivial mind benders to full-length proofs, so preparation becomes a key element for success in the field. One useful text to help students new to the field prepare is “Art and Craft of Problem Solving” by Paul Zeitz, and this text will be the primary source for metaphors to be referenced in this essay. But why would there be any need to find metaphors in a mathematics textbook? Well, similar to other complicated fields, problem solving relies heavily on metaphor to explain certain concepts because, as Zeitz states in the prologue of his textbook, “Some branches of mathematics have very long histories, with many standard symbols and words. Problem solving is not one of them” (Zeitz 3). In fact, at least in the case of Zeitz, metaphor is a necessity for imparting an understanding of problem solving concepts on readers because some of these problem solving concepts are so abstract. As such, an understan...

... middle of paper ...

...epts they don’t understand to elements of real life, elements ranging from the conceptual metaphor Arithmetic is Object Collection to chess boards or maps. Without metaphor it would be extremely hard to introduce new students to even the idea of problem solving, where even the shorter problems actually take more than three or four steps as opposed to the common single step problem that frequents calculus and pre-calculus classes. As can be seen through the heavy involvement of metaphor in Zeitz’s Art and Craft of Problem Solving, metaphor is an integral part of the education of the problem solving process, particularly for understanding the heuristics of problem solving, analyzing the metaphors involved with word problems to find the intended direction for solving the problem, and certainly in understanding the common theorems that are useful tools for competition.

## Need Writing Help?

Get feedback on grammar, clarity, concision and logic instantly.

Check your paper »## Problems Solving The Problem Solving Essay

- People of all backgrounds face problems they need to solve on a day-to-day basis. These problems vary from elementary school homework problems to problems in the work place. On that premise, the concept of problem solving varies depending on the amount of steps necessary to solve the problem, the strategies to solve the problem, and the context in which the problem takes place. Due to the wide range of problems people face and the variety of problem solving environments, problem solving is a complex phenomenon that occurs in all fields of study.... [tags: Problem solving, Mathematics]

**Better Essays**

1049 words (3 pages)

## Problems Solving The Problem Solving Essay

- Background People of all backgrounds face problems they need to solve on a day-to-day basis. These problems vary from elementary school homework problems to problems in the work place. The concept of problem solving varies depending on the amount of steps necessary to solve the problem, the strategies to solve the problem, and the context in which the problem takes place. With that being said, problem solving is a complex phenomenon that occurs in all fields of study. Problem solving ability and performance are major factors that influence students’ success in mathematics (NCTM, 2000; Schoenfeld, 2007), especially during middle school, a critical time for math learning given the status of Al... [tags: Problem solving, Mathematics]

**Better Essays**

1298 words (3.7 pages)

## Solving The Problem Solving A Solution Essay

- Problems in our lives, big or small, often have a variety of solutions. Yet, finding the best solution comes from understanding the problem. As Informatics Problem Solving lecture noted, the process of building a solution comes from a series of general steps: gathering data, analyzing that data, formulating a solution, and implementing that solution. With that, it is very important to dismiss solutions that come from “common problem solving mistakes”. For example, one common mistake is jumping hastily to a solution (Onesti 2016, Problem Solving [PowerPoint slide 45]).... [tags: Problem solving, Problem, Wicked problem]

**Better Essays**

719 words (2.1 pages)

## The Use of Deconstruction in Public Policy Formation Essay

- Deconstruction is a poststructural theory that has been applied with good results to such areas as Anthropology, Architecture, Critical Legal Studies, Graphic Design, and Literary Criticism. Our purpose is to introduce it into the practice of consulting in general, and public policy formation in particular. Several features of the recent work of Jacques Derrida (the Philosopher responsible for deconstruction) are relevant to our design of a Problem Tour. Problem A deconstructive approach to problem solving puts in question the concept of "problem" and the notion of "solution." "Problema can signify projection or protection, that which one poses or throws in front of oneself, either as the... [tags: Problem Solving Jacques Derrida]

**Better Essays**

3988 words (11.4 pages)

## Solving The Arithmetic Computation Problem Solving Essay

- “When students are given opportunities to use multiple approaches to solve problems, they come to recognize that mathematics is more than computation or getting the single right answer - it is a balance of process and product—a combination of good thinking and meaningful answers” (Blair, 2006, pp.23). Problem solving refers to the method wherein students encounter a problem for which they have no immediate obvious solution nor algorithm that they can directly apply to get an answer (Schoenfeld, 1992).... [tags: Problem solving, Education]

**Better Essays**

1870 words (5.3 pages)

## Solving The Problem Of Declining Sales Essay

- Over the past three months, department sales have declined an average of 15% versus the same three months last year. The purpose of this memo is to recommend a process for the company to implement in order reverse the sales decline. Evaluation Process To solve the problem of declining sales, three basic questions must first be answered. Yarborough defined these as “knowing where you are, where you are going and how you are going to get there” (Yarborough, 1994, p. 13). The appropriate process to solve a problem must define the current state of the issue, find the core cause(s) of the problem and chart a viable course for correction.... [tags: Problem solving, Management, Problem, Definition]

**Better Essays**

1013 words (2.9 pages)

## The Problem Solving Process: Steps to Success Essay examples

- Problem solving is a universal process that allows us to make decisions on everything from what to eat and what to wear. These steps contain the necessary knowledge that has been constructed through previous life experiences. Without sufficient experience the supports designed to strengthen our choices are weakened ending in the ultimate failure of the problem. There are many different strategies that good problem solvers use to solve a problem. The steps of the problem solving process are systematic and organized.... [tags: Problem Solving, ]

**Better Essays**

950 words (2.7 pages)

## Essay about Problem Solving And Decision Making

- . When considering when disciplinary action is a necessity, one needs to determined what steps to take and how to approach the situation by applying certain factors; what are those steps and how does one know if it’s a problem that needs attention, or one that can be solved through that of disciplinary actions. “While perception and reasoning are intimately related to problem solving and decision making, how you perceive a situation affects whether you think it is a problem requiring a solution” (Drafke, 2009, pg.... [tags: Problem solving, Problem, Need, Time]

**Better Essays**

954 words (2.7 pages)

## Essay on Questions On Problem Solving Interview

- The student that I worked with for this project was a Taylor. He is a nine year old Caucasian male that is in fifth grade. He attends Lowell Elementary, which is in a low-income community that has a significant amount of diversity in the school. This boy comes from a low-income, English speaking family. He has five brothers and his parents are separated. This student and I are similar in that we both come from a separated family with many siblings. One difference that I have with this student is that I was raised in a small rural town where many of the students come from middle-class families.... [tags: Addition, Elementary arithmetic, Problem solving]

**Better Essays**

1716 words (4.9 pages)

## Strategic Thinking And Problem Solving Essay

- Strategic Thinking and Problem Solving in the Workplace Benefits of Strategic Thinking What It Is Strategic thinking is a strategy that most, if not all, people should familiarize themselves with. This skill involves the ability to view, analyze, and conceptualize situations (beyond immediate goals) with the objective creating a better future for themselves and others (Ebersole 1). Strategic thinkers work diligently to maximize their potential and opportunities in all aspects. People with this ability are considered problem solvers.... [tags: Problem solving, Critical thinking, Thought]

**Better Essays**

720 words (2.1 pages)