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An assessment of middle grades preservice teachers' mathematics knowledge for teachingMohr, Margaret Joan 02 June 2009 (has links)
The overall purpose of this concurrent mixed methods study was to develop an
online performance assessment using content questions taken from a reputable seventh and
eighth grade standardized assessment that effectively evaluated and allowed preservice
middle grades mathematics teachers to demonstrate their mathematics knowledge for
teaching in the four main content strands of algebra, probability and statistics, geometry,
and number and operations. In addition, this study examined differences in mathematics
knowledge for teaching in enrollment characteristics, in courses taken and currently taking,
and in three different cohorts, each at different stages in the program, of 122 preservice
middle grades mathematics teachers at a large public university in central Texas.
Constant comparative analysis and descriptive statistics revealed average scores on
the seventh and eighth grade content questions. The middle grades preservice teachers’
content understanding and pedagogical understanding responses indicated several
misunderstandings and misinterpretations in the middle grades mathematics they were
tested on. Content knowledge, content understanding, and pedagogical understanding
together made up a preservice teacher’s mathematics knowledge for teaching. The study revealed that although preservice middle grades teachers could answer a content question
correctly; they did not necessarily understand the process they used to arrive at their answer.
In addition, their lack of explanation and knowledge of how to complete the problem
correctly was transferred to their pedagogical understanding of the same problem.
There was a general indication of increasing mathematics knowledge for teaching
for each content strand across enrollment characteristics (freshmen, sophomore, etc.) and
cohorts. However, there was a noticeable decrease in average mathematics knowledge for
teaching scores during middle grades preservice teachers’ junior year. Special integrated
mathematics and pedagogy courses (MASC) and the middle grades methods course had the
greatest affect on preservice teachers’ mathematics knowledge for teaching each content
strand scores. Recommendations are also included in the study which may be used to help
shape reform initiatives in teacher education programs throughout the United States.
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Connection, Motivation, & Alignment: Exploring the Effects of Content-Based Mathematical Professional DevelopmentPrasad, Priya Vinata January 2014 (has links)
Teachers' construction of and motivation for using new mathematics knowledge learned in professional development differs from students' learning of mathematical concepts. However, teachers also vary in their use of new mathematics content in their own classrooms. This qualitative study followed teachers from a professional development course in algebra into their classrooms in order to investigate how teachers connect mathematics content from PD with the content they teach. The results of this study established three modes of connection (direct connection, indirect connection, and disconnection) and contextualized these connections by exploring teachers' motivations for participating in professional development and analyzing their alignment with the perspective on and development of the content taken by the PD course's instructors.
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A Comparison of Learning Subjective and Traditional Probability in Middle GradesRast, Jeanne D 20 December 2005 (has links)
The emphasis given to probability and statistics in the K-12 mathematics curriculum has brought attention to the various approaches to probability and statistics concepts, as well as how to teach these concepts. Teachers from fourth, fifth, and sixth grades from a small suburban Catholic school engaged their students (n=87) in a study to compare learning traditional probability concepts to learning traditional and subjective probability concepts. The control group (n=44) received instruction in traditional probability, while the experimental group (n=43) received instruction in traditional and subjective probability. A Multivariate Analysis of Variance and a Bayesian t-test were used to analyze pretest and posttest scores from the Making Decisions about Chance Questionnaire (MDCQ). Researcher observational notes, teacher journal entries, student activity worksheet explanations, pre- and post-test answers, and student interviews were coded for themes. All groups showed significant improvement on the post-MDCQ (p < .01). There was a disordinal interaction between the combined fifth- and sixth-grade experimental group (n=28) and the control group (n=28), however the mean difference in performance on the pre-MDCQ and post-MDCQ was not significant (p=.096). A Bayesian t-test indicated that there is reasonable evidence to believe that the mean of the experimental group exceeded the mean of the control group. Qualitative data showed that while students have beliefs about probabilistic situations based on their past experiences and prior knowledge, and often use this information to make probability judgments, they find traditional probability problems easier than subjective probability. Further research with different grade levels, larger sample sizes or different activities would develop learning theory in this area and may provide insight about probability judgments previously labeled as misconceptions by researchers.
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Certain Procedures for the Improvement of Reading Skills in the Middle GradesClark, Sarah Elizabeth 08 1900 (has links)
The problem of this study was to demonstrate the effectiveness of certain recommended procedures for the improvement of reading skills in one fourth grade and one fifth grade class in the Jacksboro Elementary School. The purpose was to discover through testing and observation the level of each student and his specific reading needs.
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Effective Technology Strategies Teachers Use in the Urban Middle Grades Mathematics ClassroomCravens, Tammie R 11 August 2011 (has links)
The 21st century mathematics classroom looks and operates differently than it did half a century ago. Not only are teachers expected to facilitate activities rather than lecture, they are also expected to utilize technology. The National Council of Teachers of Mathematics established the technology principle to guide teachers into this practice in 2000. Today there are middle school mathematics teachers who use technology effectively in the classroom. However, there is a dearth of literature in this area on how they select and use technology. The purpose of this qualitative study is to understand the process by which these teachers select and use technology in their classroom. Activity theory and teacher thinking process model provided a conceptual framework for this study. The guiding research questions are: (1) How do successful urban middle grades mathematics teachers, who use technology effectively, describe their teaching practices? (2) What are the strategies teachers use when integrating technology effectively in the classroom?
Using a case study approach, the researcher collected data over 4 months from 3 urban middle school teachers – one on each grade level 6th, 7th, and 8th. Data sources included lesson plans, semi-structured interviews, and classroom observations. Findings revealed that teachers consider the types of learners when deciding what technology is appropriate to use. Teachers also preview technology prior to using it in the classroom. Emerging themes were grouped in five categories to describe how teachers plan and implement technology effectively. They are preparation, engagement, assessment, communication, and evaluation. The research findings give strategies to support teacher’s decisions about using technology for all types of learners and how to be effective in every phase of learning – whether it is introducing a lesson, remediating skills, or assessing knowledge. These findings also enable stakeholders to make informed decisions about technology in their school so that teachers will be able to elevate the quality of instruction with appropriate technology resources. Extended research should measure the impact that technology has on student learning. The likelihood of teachers using technology and using it more often would increase at a faster rate if there is evidence that the growth of student achievement occurs more rapidly when using technology.
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Outcomes of Basic Facts Intervention on Mathematics Self-Concept: An Investigation in a Middle School for Students Who Learn DifferentlyWhitaker, Nicole B. January 2021 (has links)
No description available.
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The Relationship Between Participation in an Academic Intervention Program and Performance in Coursework for At Risk Eighth-Grade Middle School StudentsHyatt, Victoria 01 January 2015 (has links)
The focus of the research was to examine the academic intervention program implemented to address academic concerns in the middle grades in one large urban school district in central Florida. Educational leaders at all levels are concerned with the choice of one in four students who make the decision to not complete high school coursework, leaving before earning a high school diploma. The researcher examined to what extent, if any, participation in the middle grades academic intervention program affected academic success in coursework and what difference, if any, there were between academic coursework grade point averages and at-risk eligibility factors, for levels of student participation in the academic intervention program. The at-risk eligibility factors for placement into this middle grades intervention program included prior year retention, prior year course failure(s), and prior year grade point average of 2.0 or below on a 4.0 scale. The school district of study provided each middle grades school with one teaching allocation to support the academic intervention program. Data from six of the 12 middle schools that tracked students in the academic intervention program for the 2013-2014 school year were retrieved from the school district central office. Interviews were conducted with all 12 academic intervention program supervising administrators to determine the delivery method provided for the program at each school. The study provides information on the effectiveness of the academic intervention program, implications for practice, and recommendations for future research.
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Principals Application Of Knowledge To The Structure And Support Of Special Education Programs In Florida Middle SchoolsBugden, Lisa Fuehrer 01 January 2007 (has links)
This study was developed to determine middle school principals' knowledge about the structure of the special education program in their schools and the support given to the personnel who serve students with disabilities in that program. The principals' knowledge was compared to the application of their knowledge to determine if principals were applying what they knew when making decisions about structuring and supporting the special education program in the school and the teachers and staff who work within the programs. In addition, various personal and school factors were analyzed to determine if any of these variables were significant in explaining any differences that were found between the principals' knowledge and application of their knowledge. Finally, the principals' innovativeness was determined, and the factors in common to the groups of principals who were most and least innovative were analyzed. When the data were analyzed, a statistically significant difference was found between reported knowledge and application of knowledge. None of the school and personal variables explained this difference. A statistically significant difference existed between the two groups of principals found to be most and least innovative. When analyzed, several school and personal variables were found to possibly explain the difference, and a profile was proposed for each group. The variables included gender, subject area taught, number of years as a professional educator, number of years since completing educational leadership training, number of years as a principal, primary source of information for structuring the special education program at their school, school size, district size, and types of classes offered to students with disabilities. Further research is needed to confirm these profiles and recommendations for future research are included.
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Effect of Interactive Digital Homework with an iBook on Sixth Grade Students' Mathematics Achievement and Attitudes when Learning Fractions, Decimals, and PercentsZakrzewski, Jennifer 07 April 2015 (has links)
Over the past decade, technology has become a prominent feature in our lives. Technology has not only been integrated into our lives, but into the classroom as well. Teachers have been provided with a tremendous amount of technology related tools to educate their students. However, many of these technologically enhanced tools have little to no research supporting their claims to enhance learning.
This study focuses on one aspect of technology, the iBook, to complete homework relating to fractions, decimals, and percents in a sixth grade classroom. An iBook is a digital textbook that allows the user to interact with the book through various features. Some of these features include galleries, videos, review quizzes, and links to websites. These interactive features have the potential to enhance comprehension through interactivity and increased motivation.
Prior to this study, two pilot iterations were conducted. During each pilot study, students in two sixth grade classrooms used the iBook to supplement learning of fractions, decimals, and percents. A comparison group was not included during either iteration, as the goal was to fine-tune the study prior to implementation. The current study was the third iteration, which included a comparison and treatment group. During this study, three research questions were considered:
1) When learning fractions, decimals, and percents, in what ways, if any, do students achieve differently on a unit test when using an interactive iBook for homework as compared to students who have access to the same homework questions in an online static PDF format?
2) What are students' perceptions of completing homework regarding fractions, decimals, and percents with an interactive iBook compared to students who complete homework in an online static PDF format?
3) In what ways does students' achievement on homework differ when completing homework related to fractions, decimals, and percents from an interactive iBook and a static PDF online assignment?
Thirty students from a small charter school in southeast Florida participated in the third iteration of this study. Fifteen students were in the comparison group and fifteen were in the treatment group. Students in both groups received comparable classroom instruction, which was determined through audio recordings and similar lesson plans. Treatment group students were provided with a copy of the iBook for homework. Comparison group students were provided with a set of questions identical to the iBook questions in a static digital PDF format. The comparison group students also had access to the textbook, but not the iBook nor the additional resources available within the iBook.
The study took place over three weeks. At the commencement of the study, all students were given a pretest to determine their prior knowledge of fractions, decimals, and percents. Students were also asked to respond to questions regarding typical homework duration, level of difficulty, overall experience, and additional resources used for support. During the study, both classes received comparable instruction, which included mini lessons, manipulative based activities, mini quizzes, and group activities. Nightly homework was assigned to each group. At the conclusion of the study, both groups were given a posttest, which was identical to the pretest. Students were asked identical questions about their homework perceptions as prior to the study, but were asked to respond in regards to the study alone. All participating students completed a questionnaire to describe their perceptions of completing homework regarding fractions, decimals, and percents with an iBook as opposed to static digital PDF homework. Lastly, six students from the comparison group participated in a focus group and six students from the treatment group participated in a separate focus group.
Data were collected from the pretest and posttest, pre and post homework responses, collected homework, mini quizzes, audio recordings, teacher journal, questionnaires, and the focus group. No difference in achievement was found between the two groups. However, both groups improved significantly from the pretest to posttest. Based on the questionnaires and focus groups, both groups of students felt they learned fractions, decimals, and percents effectively. However, the questionnaire data showed the treatment group found the iBook more convenient than the comparison group did the textbook.
Data from this study provide a baseline for future studies regarding iBooks in middle school mathematics. Although the data show no difference in achievement between the two groups, further studies should be conducted in regards to the iBook. Questionnaire and focus group data suggest, with modifications, students may be more inclined to use the resources within the iBook, which may enhance achievement with fractions, decimals, and percents.
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Authoritative discourse in the middle school mathematics classroom: a case studyHarbaugh, Adam Paul 01 November 2005 (has links)
According to the National Council of Teachers of Mathematics (NCTM)
standard of communication, ??Instructional programs from pre-kindergarten through
grade 12 should enable all students to...communicate their mathematical thinking
coherently and clearly to peers, teachers, and others?? and students need to learn ??what is
acceptable as evidence in mathematics?? (NCTM, 2000, p. 60). But do teachers have a
clear understanding of what is acceptable or do they believe that the only acceptable
explanations are the ones that they themselves gave to the students? Can teachers accept
alternative forms of explanation and methods of solution as mathematically accurate or
do they want students to simply restate the teachers?? understandings of mathematics and
the problem? The focus of this dissertation is the authoritative discourse practices of
classroom teachers as they relate to individual students and large and small groups of
students.
In this case study, I examine the interactions in one eighth-grade mathematics
classroom and the possible sharing of mathematical authority and development of
mathematical agency that take place via the teacher??s uses of authoritative discourse. A guiding objective of this research was to examine the ways a teacher??s discursive
practices were aligned with her pedagogical intentions.
The teacher for this study was an experienced eighth-grade mathematics teacher
at a rural Central Texas middle school. The teacher was a participant in the Middle
School Mathematics Project at Texas A&M University. Results of an analysis of the
discourse of six selected classes were combined with interview and observation data and
curriculum materials to inform the research questions.
I found that through the teacher??s regular use of authoritative discursive devices,
mathematical authority was infrequently shared. Also the teacher??s uses of authoritative
discourse helped create an environment where mathematical agency was not encouraged
or supported. The teacher??s use of various discursive devices helped establish and
maintain a hierarchy of mathematical authority with students at the lowest level reliant
on others for various mathematical decisions.
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