Matching Items (5)

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College Students’ and Inservice Teachers’ Evoked Concept Images and Ways of Understanding Congruence

Description

Eleven years after being put into practice, the Common Core State Standards for Mathematics still take a back seat as traditional approaches drive many secondary geometry classrooms, specifically in regard

Eleven years after being put into practice, the Common Core State Standards for Mathematics still take a back seat as traditional approaches drive many secondary geometry classrooms, specifically in regard to congruence. This thesis explores how university students reason about congruence based on their high school learning experience, as well as how in-service geometry teachers reason about and teach congruence. During the Summer of 2020, two distinct surveys were distributed to 33 undergraduate students at Arizona State University and two in-service geometry teachers in Arizona to characterize the ways they understand congruence and reflect on their experiences in secondary geometry classrooms. The results of the survey indicate that students who understood congruence either in terms of corresponding measurements or transformations were successful in identifying congruent shapes, while only students who understood congruence in terms of transformations were successful in constructing congruent shapes. Transformational reasoning was both the most productive and the least prominent way of understanding congruence among students. Their responses to activities and reflections on their experiences also suggested that deductive reasoning is not practiced or prioritized in many secondary geometry classrooms. Teacher understandings of congruence varied, and reflections suggested that development of materials and training that are aligned with the goals of CCSSM for both pre-service and in-service teachers would help teachers create an environment conducive to a transformational understanding of congruence and that promotes deductive reasoning.

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Agent

Created

Date Created
  • 2020-12

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Integrating Music in the Classroom

Description

A look at the benefits of the integration of music in the classroom. This thesis focuses on how music supports brain development and how that affects the ways children learn

A look at the benefits of the integration of music in the classroom. This thesis focuses on how music supports brain development and how that affects the ways children learn the classroom. It also highlights how current teachers feel about integrating music in the classroom and the best practices used for integrating music. Lastly, this thesis contains strategies on how to integrate music in the classroom using the Common Core standards as well as personal compositions written using Common Core standards.

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Agent

Created

Date Created
  • 2013-05

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Counting on: narratives of curriculum policy implementation

Description

This study is a narrative inquiry into teachers' and instructional coaches' experiences of new curriculum policy implementation at the classroom and district levels. This study took place during the

This study is a narrative inquiry into teachers' and instructional coaches' experiences of new curriculum policy implementation at the classroom and district levels. This study took place during the initial year of implementation of the third grade Common Core State Standards in Mathematics (CCSSM). Interviews were conducted with individuals directly involved in policy implementation at the classroom level, including several teachers and the school's instructional coach. Observations of the teachers' instruction and professional practice were also conducted. As an embedded researcher, I used this data to create a series of fictionalized narratives of the initial policy implementation experience. My analysis of the narratives suggests that accountability structures shaped individual's sense-making of the original policy. This sense-making process consequently influenced individuals' actions during implementation by directing them towards certain policy actions and ultimately altered how the policy unfolded in this school and district. In particular, accountability structures directed participants' attention to the technical instructional `forms' of the reform, such as the presence of written responses on assessments and how standards were distributed between grade levels, rather than the overall principled shifts in practice intended by the policy's creators.

Contributors

Agent

Created

Date Created
  • 2015

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From the Common Core to the classroom: a professional development efficacy study for the Common Core State Standards for Mathematics

Description

In this mixed-methods study, I examined the relationship between professional development based on the Common Core State Standards for Mathematics and teacher knowledge, classroom practice, and student learning. Participants were

In this mixed-methods study, I examined the relationship between professional development based on the Common Core State Standards for Mathematics and teacher knowledge, classroom practice, and student learning. Participants were randomly assigned to experimental and control groups. The 50-hour professional development treatment was administered to the treatment group during one semester, and then a follow-up replication treatment was administered to the control group during the subsequent semester. Results revealed significant differences in teacher knowledge as a result of the treatment using two instruments. The Learning Mathematics for Teaching scales were used to detect changes in mathematical knowledge for teaching, and an online sorting task was used to detect changes in teachers' knowledge of their standards. Results also indicated differences in classroom practice between pairs of matched teachers selected to participate in classroom observations and interviews. No statistical difference was detected between the groups' student assessment scores using the district's benchmark assessment system. This efficacy study contributes to the literature in two ways. First, it provides an evidence base for a professional development model designed to promote effective implementation of the Common Core State Standards for Mathematics. Second, it addresses ways to impact and measure teachers' knowledge of curriculum in addition to their mathematical content knowledge. The treatment was designed to focus on knowledge of curriculum, but it also successfully impacted teachers' specialized content knowledge, knowledge of content and students, and knowledge of content and teaching.

Contributors

Agent

Created

Date Created
  • 2013

Gifted students and the Common Core State Standards

Description

The State of Arizona mandates that students with superior intellect or abilities, or identified gifted students, receive appropriate gifted education and services in order to achieve at levels commensurate with

The State of Arizona mandates that students with superior intellect or abilities, or identified gifted students, receive appropriate gifted education and services in order to achieve at levels commensurate with their intellect and abilities. Additionally, the State of Arizona adopted the Arizona College and Career Ready Standards (AZCCRS) initiative. This investigation explores if, according to the perceptions of gifted educators, the AZCCRS support a gifted mathematic curriculum and pedagogy at the elementary level which is commensurate with academic abilities, potential, and intellect of these mathematically gifted students, what the relationships are between exemplary gifted curriculum and pedagogy and the AZCCRS, and exactly how the gifted education specialists charged with meeting the academic and intellectual needs and potential of their gifted students interpret, negotiate, and implement the AZCCRS.

This study utilized a qualitative approach and a variety of instruments to gather data, including: profile questionnaires, semi-structured pre-interviews, reflective journals, three group discussion sessions, and semi-structured post interviews. The pre- and post interviews as well as the group discussion sessions were audiotape recorded and transcribed. A three stage coding process was utilized on the questionnaires, interviews, discussion sessions, and journal entries.

The results and findings demonstrated that AZCCRS clearly support exemplary gifted mathematic curriculum and practices at the elementary level, that there are at least nine distinct relationships between the AZCCRS and gifted pedagogy, and that the gifted education specialists interpret, negotiate, and implement the AZCCRS uniquely in at least four distinct ways, in their mathematically gifted pullout classes.

Contributors

Agent

Created

Date Created
  • 2014