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Problem Solving Essay
In the article “Never Say Anything a Kid Can Say!” Steven C. Reinhart shares his struggle of finding the fundamental flaw that existed in his teaching methods. He is a great teacher, explained mathematics well, he was dedicated and caring, but his students were not learning and with low achievement results, Reinhart had to question his teaching methods. He began to challenge himself. He committed to change 10% of teaching each year and over many years he was able to change his traditional methods of instruction to more of a student-centered problem-based approach. This article promotes students to engage through the use of questioning.
Problem solving is the process of following a series of steps to obtain the solution
to a problem (Fritzer & Ridener, 2004) and questioning lets students clarify their own thinking, it is means for discovery. How do these two relate? Well, questioning is a big part in problem solving, in order to understand the problem students must comprehend the information that has been given to them, they must recognize what information is missing. Reinhart uses questioning strategies to get the students to teach themselves and their peers. Once they understand the problem, they can create a plan, solve and review. Through this process we use questioning. I understand that this sort of teaching method approach can make students feel uncomfortable, however Reinhart applied a few questioning strategies that supported students to be actively involved and feel content sharing their concepts, they were to ask good questions, encourage to use open ended questions, and to be patient. Giving students the time to process their information can be very useful, Reinhart thought it was significant to permit enough time for a student to think their thoughts through in order to get an answer. The authors position focuses on helping students determine a full understanding of the problem by asking questions. I agree with the authors’ position; I think questioning is essential in any classroom but I do think it depends on the teacher and students. This article gave examples on ways to promote discussion through small groups, large groups, and pairing. I thought the think-pair-share strategy is brilliant, along with participation is not optional. The students must all contribute to the discussion, by making students accept the responsibility of their own knowledge makes learning more pleasant for them.
The second part of this memo contains a rhetorical analysis of a journal article written by Linda Darling-Hammond. Interview The following information was conducted in an interview with Diana Regalado De Santiago, who works at Montwood High School as a mathematics teacher. In the interview, Regalado De Santiago discusses how presenting material to her students in a manner where the student actually learns is a pivotal form of communication in the field (Personal Communication, September 8, 2016).
During this lesson, I pushed my students to be able to justify their answers using their knowledge of tens and ones. While not explicitly taught during any of the curriculum lessons, it is a skill required on a number of questions on the test. I predict that some students will struggle with this portion of the test due to their lack of practice using academic language to rationalize their answers. My students “know” what numbers are greater or less, but during this lesson I still heard “I just knew” instead of them going back to their models every time to cite evidence to support their answer. As I finish out this year, and as I think about my teaching practice next year, this is definitely an area of growth that I want to focus
Taylor, J. and Ortega, D. The Application of Goldratt's Thinking Processes to problem Solving. Allied Academic international Conference. Las Vegas. 2003
What is problem based learning? As the name suggests, " It is a combination of educational method and philosophy. Philosophically, problem based learning is centered on the student, whereas in subject-based learning teachers transmit knowledge to students before using problems to illustrate it." In other words, it is a learning method that uses a problem to stimulate students, participating in a group discussion, to find their knowledge gaps and then add new information through a method called self-directed learning (SDL) in order to gather again and reach an appropriate diagnosis and management.
Thinking skills are an urgent need to be taught at all levels of education. Special courses and texts should not be relied upon to do the job. Instead, an atmosphere should be created by the teacher where students are encouraged to read intensely, inquire, engage in conflicting thinking, look for interaction among ideas, and come to grips with with real life issues.
He began by depicting a setting where a speaker finished what he or she had said, but during the question and answer time, at first, no one asked a question. A possible reason that students do not ask questions is that they have this mentality that professors are always right, Jacobs wrote. In addition, students may feel that if they ask a question, it reveals ignorance. However, “Most often, the student’s own ignorance is shared with the rest of humanity, including the speaker. Asking the apparently dumb question shines a light on the unanswered or unaddressed aspects of the topic.” He believes that to produce critical thinkers, high schools must begin sharpening their teenagers’ critical thinking. One way to do this is by praising those who express aloud their reasoning and
Teachers should be encouraged to have dialogues with their students regarding the subject matter being instructed. The dialogue among teacher and student does not end there. Students must also be taught and encourage to continue to have such conversations among themselves and within the ‘self’. They need to be comforted in acknowledging that critical questioning within one’s mind and self-talk is a normal, fundamental way of learning. Learning goes beyond lectures and assignments. Students must be able to connect with the material in multiple
The business dictionary (2015) states that ‘problem solving is the process of working through details of a problem to reach a solution’. This is a skill taught at university and is beneficial because it will allow an employee to use their invocative when it comes to solving problems, it also shows employers that their staff can work in high pressured situations. Bingham and Drew (2010) says that ‘sometimes a problem or an issue may not have one key aspect, but several’ which therefore means that people may have to work as a team to solve the problem, team work and problem solving are both skills learnt at university as students complete group work. There is further support that problem solving is a key skill from totaljobs (2015) who say, ‘problem solving is a vital skill in daily life and employers are keen on it’ as it shows how efficient an employee is and how they react when faced with a problem. Having this skill allows product developers to improve on what has happened, for example if they have caused the problem then they can suggest ways in which it can be
The video “Closed or Open: That is the Question” (2011) focuses on an economics lesson in Chris Korinek’s middle school classroom and features a dialogue between the teacher and instructional expert Jim Knight regarding questioning techniques in the classroom. The two discuss the differences between closed-ended and open-ended questions, noting that the former generally has explicitly right and wrong answers which can be useful when checking whether or not the students are able to recall information from the material. The latter, however, is highly beneficial in supporting student expression and enhancing their skills in communication; open-ended questions do not have set correct answers for students to answer with, engaging their thoughts
In reflection of the observations done with this technique, I found this to the technique that left me wanting more from the classroom experience. Based on the two observations I completed, both teachers used questioning techniques to draw students into the class but also increase participation.
Solving problems is a particular art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice…if you wish to learn swimming you have to go in the water, and if you wish to become a problem solver you have to solve problems. -Mathematical Discovery
The problem-solving method of teaching incorporates problem-solving activities, but places the responsibility for learning on the student. It requires teachers to move from the traditional instructional model to one that engages teachers and students as partners in learning, with the teacher functioning in the role of facilitator or coach rather than leader or all-knowing authority. It requires the use of problems that have real meaning to students, thus motivating them to reach a solution.
PO learned problem-solving technique that include defining the problem; examining obstacles; acting on the choice; learning from the results. PO was engaged well in the small group exercise, and was able to map out how she would solve problem at work. PO appears to understand that effective problem solving is an important life skill. PO’s behavior and participation are consistent with the action stage of change.
Mathematics is an area of knowledge that may seemingly appear to be concrete, utilizing reason as its source of knowledge. On one hand, mathematics represents learned concepts using a repetitive procedure and logic that will rarely deviate. Beginning concepts of mathematics taught in schools are concrete with fixed steps and formulas for solving problems. For example, the properties of addition, subtraction, multiplication, and division yield fixed answers. Students only have to use the steps previously taught and accept them to be true to attain the correct response. Therefore, concrete concepts can only be accepted as true by using learned skills to process and generate information and belief. However, without some degree of understanding or context, the use of the skills as a repetitive “exercise” is not critical thinking because it has no meaning.
One very important factor in every life is the education received as we mature. Education in all subjects is necessary to become a well-rounded individual. Even so, I feel that my subject area has more significance in one’s future because every person uses mathematics every day. Students need to understand why mathematics is important and why they will need it in the future. The way to do that is integrated into the views of the role of the teacher. Teachers need to be encouraging role models that provide students with safety, nurturing, and support in the classroom, along with providing excellent instruction by allowing students to explore and expand their minds in the content of mathematics. Teachers should set high expectations for all students and persuade the students to live up to those expectations. Along the same lines, teaching and learning are complementary concepts. Students need for the teacher to provide them with the knowledge that will be used not only in that class but also in their future endeavors. ...