According to Creswell (1994), the benefit of a mixed methodology provides triangulation of the results which adds more breadth and scope to a study. The mixed method approach allowed for a deeper look at how students actually communicated mathematical thinking with the use of journals. Also, since the teacher is the researcher, it allowed the researcher to gain more insight into the students’ thought processes and analyze the information in a more in depth manner (Kostos & Shin 2010). Action research relates to a local setting, which this project clearly represented, taking place in second grade class room in a Chicago suburb.
The quantitative data was represented by pre- and post-assessment scores from a standard type state
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All questions required the students to explain why or why not they gave a particular answer.
The last phase was that the teacher-researcher maintained a reflective journal which they used for recording information, observations, and conversations on days where there were mini-lessons and when students wrote in their journals
C1. Appropriateness of Data Collection Methods
The data collection methods used are deemed appropriate for this action research project utilizing mixed methods. The qualitative data collected, student interviews and teacher-researcher reflective journal entries provided sufficient information for a comprehensive and clear analysis of good quality. It provided support as to what the researcher had set out to accomplish in the study, which was to show how math journals enhance second graders’ communication of mathematical thinking. The same can be inferred from the quantitative data collection, in which pre- and post-assessment scores were collected from pre- and post-instruction, to show learning progression by using math journals. These collection methods are appropriate for this study, and continue to align with problem and statement of purpose.
D. Data Analysis Techniques
The data analysis techniques employed for the study
This report is a critique of the research article Using Math Journals to Enhance Second Graders’ Communication of Mathematical Thinking, by Kathleen Kostos and Eui-kyung Shin. This work was an action research study carried out by a second grade teacher. The research problem in this study is addressed by the collection of mixed methods data.
A self-reflective journal is a good way to keep records and reflect upon what happened during a lesson. I plan to, at the end of each day, jot down a few comments about what worked in my lessons, what didn’t work, and how I would modify the lesson to better support my students’ development. As this information will be recorded, I can always come back to it for reference when preparing future lessons. I also plan to often read the information on this journal so I can constantly remind myself of what strategies worked and what strategies didn’t work.
In additionally, selecting the most appropriate data was difficult. After lingering through all the statistical numbers between national, state, and county, my brain and eyes were swirling. Additionally, deciphering between which data was the most current verses outdated. Eventually, I believe that all the data needed to fulfill the assessment’s requirements were found.
Your reflective learning journal entry should include: The description of the event that took place; What you have learned; How it has affected your job role; Short term implications to you or your job role and Long term implications to you or your job role.
Type up notes on reflection after a lesson, (log these as daily entries like a paper journal/diary) in
With this information, a region of schools can compare their results and figure out how well a region is doing in comparison to other regions. However, this is not completely valid due to the difference in assessment in each region. Therefore, they cannot be accurately compared to other regions because of this difference. (Costa and Kallick, 1995)
In the article, Engaging All Students in Mathematical Discussion, it discusses four effective strategies in engaging children to think, discuss, and have a deeper understanding of mathematics. According to the article, the strategies are very important because there are moments where the student does not fully understand the lesson of the day or week because they are not fully engaged. The reason the students are not fully engaging is because the teacher teaching the lesson is not assigning a thinking level and/or listening role. The thinking level and listening roles are referred to as “taxonomies”, as in Bloom’s Taxonomy. In the taxonomies chart, it explains the purpose and how a teacher should be asking questions during the lesson or after.
For my middle level observation, I had the honor to observe at Huntington Middle School under Mrs.Rivera in sixth grade hub class and Math. I was very fortunate to have had this opportunity, as I have observed things that I have mixed emotions about. In this paper, I will discuss the different ways Mrs.Rivera taught, and the different components that made up her math classroom.
Health and social care workers are required to be able to critically appraise a piece of research for a variety of reasons (Hek et al., 2004). This is reiterated by Duffly et al. (2009) that nurses are required to demonstrate the comprehension of evidence by outlining the vital elements and analysing the views of authors. This suggests that critical analysis is a crucial skill for nursing practice. The relevant papers selected for this reviewed was critically analysed using the Caldwell et al. (2011) framework. This framework was selected due to its ability to critically analyse the relevance and appropriateness of both qualitative and quantitative research papers.
All the questions in the cover page are answered and each item assigned a score of between 0 and 4. The raw scale scores are obtained by summing up the scores of the items in the score. Once this is done, the raw scores are transferred to T-scores and percentiles by using the appendix. EDI-3 has T-scores for the three subscales and their composites and these are calculated using an analytical technique that removes any form of irregularities (Cumella, 2006). For the composite scores, the T-scores are summed up and transferred to percentiles. The EDI-3 profile sheet as well as the appendix play a critical role in charting T-scores and
The concept of reflection in journal learning has been defined in several ways; for example; research in action. Morrison (1996) said journal learning has shuttled between the process of learning and the representation of that learning. However, the learning journals process did not mean the same for all students. Some students believe that learning journals response occurs when the environment is suitable and relaxed; so reflection on class lectures could be recalled and writing reply could be developed. On the other hand, the authors Abbas & Gilmer explained that the relation between the students and teachers were the primary motivation for the effective learning
The researcher’s main concern was to investigate differences in math perception between those students scoring highly versus those students scoring poorly on national exams. The researcher thought that the solution would be due to cross-cultural differences in achievement.
What is the most effective way to teach? Can students really learn and fully understand the material teachers convey to them on a day to day basis? According to a middle school mathematics teacher, his methods of teaching the traditional way was not as effective and producing a long-term impact as he would have liked. The article "Never Say Anything a Kid Can Say!" enriches us to the possibility of applying slight gradual modifications to our teaching methods and how we could find ways to utilize that information in the search for more effective teaching methods to encourage students to explain their thinking and become more deeply involved in the classroom discussions, thus developing their questioning skills (Reinhart, 2000). After
A mixed methods research design is a procedure for collecting, analyzing, and “mixing” both quantitative and qualitative research and methods in a single study to understand a research problem.
One possible solution to low academic achievement in certain content areas is the use of the hands-on learning approach. These activities can be used to promote higher order thinking and an increased understanding of the curriculum. When a teacher emphasizes hands-on learning activities, students significantly outperform their peers (Wenglinsky, 2000). Research on hands- on learning has been conducted and advocated since the late 1950's. The resulting research indicated that hands-on instruction was very successful in teaching science and mathematics because this kind of instruction created a more active environment. (Frederick, 1999). By using hands- on instruction in the classroom students attitudes toward science and math will become positive, students will then be motivated to learn, teachers and students will