4 resultados para Teaching of mathematics. Combinatorial analysis. Heuristic analysis of combinatorial problems

em DigitalCommons@University of Nebraska - Lincoln


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In this action research study of my freshmen Algebra I class, I investigated a method of assessing homework based on completion and presentations. When I changed the method of grading from checking answers to looking for completion and presentation of selected problems, I found that the majority of the students enjoyed the method because it allowed them to explore other methods of solving and helped them gain an understanding of the problems. This resulted in less stress on obtaining “the” answer. I also realized that I viewed homework differently and had a better understanding of the students’ thought processes, which caused me to check tests differently. These results led to a better relationship between the students and myself. As a result of this research, I plan to change my methods of assessing homework from the traditional right or wrong to a rubric assessment based on presentations and completion of the assignment.

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In this action research study of my classroom of sixth grade mathematics, I investigated word problems. I discovered that my students did not like to try word problems because they did not understand what was being asked of them. My students also saw no reason for solving word problems or in having the ability to solve them. I used word problems that covered topics that were familiar to the students and that covered the skills necessary at the sixth grade level. I wanted to deepen their understanding of math and its importance. By having my students journal to me about the steps that they had taken along the way to solve the word problem I was able to see where confusion occurred. Consequently I was able to help clarify where my students made mistakes. Also, through writing down the steps taken, students did see more clearly where their errors took place. Each time that my students wrote their explanations to the steps that they used in solving the word problems they did solved them more easily. As I observed my students they took more time in writing their explanations and did not look at it as such a difficult task anymore.

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In this action research study of my teaching of sixth grade mathematics, I investigated the importance of showing work on daily assignments. I wanted to find out what happens when I ask students to show their work, specifically, whether it would improve students’ grades or not and whether I could help the students to understand the importance of showing their work. I discovered that students need to be shown the proper way to show their work, how to look at a problem and then how to show all of their steps to get to the answer. They need to be encouraged and be held accountable for showing their work when asked. Once they were able to show work, they could start to see the value in showing their work and they tended to show their work more often. Students became more confident in themselves as mathematics students and, in some cases, their grades improved. As a result of this research, I plan to teach and explain to my future classes about how showing their work can benefit them in a variety of ways. They will be able to use the knowledge that they gain in my classroom in their future math classes in middle and high school.

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In this action research study of my classroom of 7th grade students, enrolled in Pre- Algebra (an 8th grade course), I investigated: rate of homework completion when not taken as part of the academic grade, cognizant self-assessment and its affect on mastery of objectives, and use of self-assessment to guide instruction and re-teaching of classroom objectives. I learned that without sufficient accountability homework completion rates drop with time. Similarly, students can be overconfident in their abilities but unmoved when their summative reports do not match their initial perceived formative benchmarks. Finally, due in part to our society’s reactive nature; students find it more practical to play catch-up rather than staying caught up. As a result of this research, I plan to create, with the help of the students, an accountability statute to help students stay caught up with their understanding of the objectives, as well as allow additional time and energy spent by both student and teacher to react in a timely manner to complete student knowledge within a day or two rather than a week or two later.