Dissertations / Theses on the topic 'Mathematics Educational technology. Mathematics Mathematics teachers'

This study investigated secondary mathematics pre-service teachers’ (PSTs) knowledge of resources in terms of digital technologies, and explored the processes of both selection and integration of technology into their lesson plans. This study employed a case study design. Participants were six secondary mathematics PSTs who enrolled in a methods course. Data sources included technology portfolios submitted as a requirement in the methods course and semi-structured interviews. The types of digital technologies were classified either conveyance technologies which are used to convey information or cognitive technologies which enable users to perform mathematical actions and receive immediate feedback (Dick & Hollebrand, 2011). Each task in these lesson plans was evaluated by using the Task Analysis Guide (Stein, Smith, Henningsen, & Silver, 2009). Finally, the intended way of technology use was identified whether as amplifier which enables students to accomplish a task more efficiently and accurately or as recognizer which transforms students’ actions and enables them to reorganize their thinking (Pea, 1985).

The findings indicated that the PSTs’ technology knowledge was limited in terms of the content. It was clear that these PSTs’ technology knowledge, the capability of technology, ease of use, availability of technology in the context, students’ familiarity with technology, and appropriateness of technology to meet the learning objectives were the most important factors influencing their technology selection and integration. Furthermore, the findings exhibited that the PSTs preferred to build their lesson around with a high cognitive level tasks which were either doing mathematics or procedures with connections and their intended way of technology use in these tasks was identified as either an amplifier or a reorganizer. In general, the findings also revealed that when the level of cognitive demand of the selected task was doing mathematics, the intended way of the technology use in these tasks were as reorganizer.

The purpose of this qualitative case study was to gain a better understanding of how induction programs might effectively support STEM K?8 teacher preparation. American schools are not producing competent STEM graduates prepared to meet employment demands. Over the next decade, STEM employment opportunities are expected to increase twice as fast as all other occupations combined. To meet the economic needs, the STEM pipeline must be expanded to educate and produce additional STEM graduates. The meeting of this objective begins with having the teachers working in American classrooms fully prepared and trained in STEM content, curriculum, and pedagogy. Research shows that the interest in STEM subjects starts in elementary school and, therefore, the preparation of elementary teachers to be proficient in teaching STEM to their students is vital. However, most induction programs do not focus on preparing their teachers in STEM. This study researched the Alternative Induction Pathway (AIP) program, which had STEM preparation as one of its core outcomes in the Long Beach Unified School District (LBUSD). It investigated the program?s effectiveness in preparing K?8 teachers with STEM content knowledge, curriculum, pedagogical instruction preparation, and the program elements that contributed the most to their experience in the program and overall STEM preparation as a result. This study was carried out over the course of approximately 6 months. Data included focused interviews with participants as well as analysis of existing documents in order to triangulate perspectives from multiple sources. The AIP program had varied levels of effectiveness in STEM content, curriculum, and pedagogy preparation. Relationships between the induction mentor, the administration, and the participating teacher, when strong and positive, were powerful contributions to the success of the acquisition and integration of the STEM content, curriculum, and pedagogy. The most effective components of the AIP program were the monthly support groups, the curricular resources, and the professional development nights facilitating the teaching and learning process for the participating teacher in STEM integration. The results of this training included examples of well-planned and executed STEM lessons with creative risk-taking, and enhanced confidence for teachers and administrators alike. At the same time, the AIP program had struggles in achieving the desired outcomes of STEM integration, due to lack of preliminary training for program administrators in STEM integration, varied needs between the MS and SS credential teachers, and state standard requirements that spoke to science and mathematics, but not engineering or technology. The main recommendation for policy from the results of this study is that STEM should be woven into preservice and continue through induction and professional development to become one of the main tenets of curriculum development and standards of effective teaching. This policy would affect colleges of education and district induction programs, requiring that STEM courses be added or embedded into the credential pathways. However, this approach would ensure that STEM integration is supported academically as an important and valued aspect of the teacher?s entrance to their career, and that pre-service teachers are ready to take advantage of induction offerings on STEM integration in the induction phase and throughout their careers in continuing professional development. The study also provides practice and research recommendations in regard to possible roles and supports for mentor teachers, including their relationships with resident teachers, as well as suggestions for and to maximize the benefits for effective teaching and learning during the induction process.

Computer algebra systems (CAS) have been available for over 20 years and yet minimal CAS-rich opportunities present themselves formally to high school students. CAS tools have become readily accessible through free or inexpensive versions. Educators are emboldened to integrate essential mathematical tools in the reasoning and sense making of mathematical knowledge for students. It is the teacher that is at the heart of technology instruction, creating authentic environments for all learners.

This study investigated two secondary teachers pedagogy in classes that exploited CAS in the development of mathematical knowledge. A qualitative within-site case study design was used to explore each teacher’s instructional practices. Teachers that exemplified qualities of CAS-infused instruction were purposively selected. Rich descriptive lesson vignettes as captured from classroom observations, written reflections, and interviews revealed participants’ pedagogy. The pedagogical map framework guided the identification of participant pedagogical affordances of the utilization of CAS. Eight opportunities were observed as exploited by the participants that included subject level adjustments; classroom interpersonal dynamics with students; and mathematical tasks. Data revealed several emergent themes in operation as the teacher participants oriented their mathematics instruction: viewing CAS as a mathematical consultant, verifying answers, applying multiple representations, regulating access, providing guidance, and outsourcing procedures. The components interlock with one another to form a cohesive depiction of pedagogical decisions in the presence of CAS-rich classroom instruction. The schema of CAS-oriented instruction serves as a methodology for educators to create opportunities that enrich the development of mathematical content knowledge.

This study investigates instructional moves by teachers in mathematics classrooms in which technology-based activities (i.e., student-oriented simulations) and features of those simulations influence classroom practices. Four teachers were studied over the course of a year as an exploratory study to build interpretive cases that described instructional practices in technology-based lessons. Teachers developed lessons using PhET simulations designed to support algebraic reasoning. Data sources included teachers’ process of selecting and designing lessons, observations of teachers’ non-technology and technology-based mathematical activities, and teacher interviews and reflections.

This work was based on a conceptual framework blending the ideas of Mathematical Tasks (Stein, Smith, Henningsen, & Silver, 1998), Mathematical Pedagogical Content Knowledge (Ball, Thames, & Phelps, 2008), and Technological Pedagogical Content Knowledge (Mishra & Koehler, 2006), in which teachers’ instructional practices are determined by teachers’ mathematical pedagogical content knowledge, task selection and design, and use of technology.

Results indicated that teachers see simulations as having significant benefits in the classroom. Teachers leveraged these opportunities by increasing class discussions, engaging in higher levels of thinking and reasoning, and focusing on mathematical representations. When teachers used simulations, the teachers spent less time in direct instruction, focused more on the mathematics, and focused more on investigations rather than drill-oriented tasks.

Technology in the classroom, however, was problematic for some teachers. The very nature of students working independently with their own devices meant that student-student interactions decreased in some lessons. Furthermore, teachers’ discomfort in managing technology seems to limit ongoing use.

Specific features of the simulations that prompted instructional moves included the ability to support conceptual understanding and build student engagement. Simulations also provided a ‘low floor, high ceiling,’ supporting differentiation, and a dynamic responsiveness, facilitating connections between representations. On the other hand, teachers raised concerns that some features of the simulation could do the math for the students. Furthermore, the perception of simulations as being a game may impact how and when simulations are used.

The emergent use of technology in math classrooms is under-supported. For simulations to be used in a more extensive fashion in mathematics classes, professional development and curricular materials are needed to support implementation.

The purpose of this study was to examine Kuwaiti mathematical elementary teachers’ perceptions about their ability to integrate M-learning (mobile learning) into their current teaching practices and the major barriers hindering teachers’ ability to create an M-learning environment. Furthermore, this study sought to understand teachers’ perceptions about their ability to create a collaborative cloud-computing learning environment that corresponds with the 21st century skills and possibly explain their readiness for future reformation of education in Kuwait.

Using an Internet-based format to this study quantitative and qualitative data, the Technological Pedagogical Content Knowledge (TPACK) and barriers survey gleaned quantitative information about how mathematics teachers and a head of a mathematics department (n = 562) viewed use of technology as well as the barriers they faced in integrating it into the classroom. Also, qualitative data were collected using a survey of open-ended questions to provide context to survey answers and better understand the barriers and affordance experienced by the participants. Moreover, a 21st century open-ended questionnaire was employed to collect qualitative information from mathematics teachers and head of the departments (n = 21) in regard the their ability to construct a 21st century learning environment based on collaboration and constructivist perspective utilizing a cloud-computing technology.

Quantitative analysis was utilized to examine elementary mathematics teachers’ perceptions using the TPACK survey, and the validity and reliability of the TPACK subscales were computed by administering the confirmatory factor analysis. Factors that were elicited were specified as: all seven subscales encompassed in the TPACK survey significantly fit model of factor structures, and the TPACK survey was reliable and valid. In addition, descriptive analysis such as the TPACK subscale means and standard deviations were computed via the SPSS software.

Qualitative content analysis was used to understand teachers’ perceptions about their ability to integrate mobile technology, perceptions of the primary barriers and affordance that limited their ability, and their perceptions of their ability to integrate collaborative cloud computing and create a 21st century learning environment based on the constructivist perspective. When analyzed, the self-reported open-ended survey yielded the following specific themes: (a) teachers perceived themselves high in their ability to integrate mobile technology; (b) the primary barriers based on teachers’ perceptions were budget constraints, IT limitations, time constraints, and administrative support; and (c) teachers perceived themselves high in their ability to integrate collaborative cloud computing to construct a 21st century learning environment based on the constructivist perspective. This study finding could be implemented to create a new modern mathematics elementary curriculum that resolves the current curriculum issues. Future research is recommended in the direction of creating a new mathematical curriculum based on administrators’, parents’, and students’ perspectives.

The purpose of this mixed methods study is to test teachers’ capacity towards understanding of mathematical pedagogy and their willingness to utilize interactive whiteboard software to provide visual representations through virtual manipulatives and to understand how teachers are using interactive whiteboard software during instruction. Based Upon Linda Lambert’s Capacity Theory and Michelle Hodara’s five strands of Math Pedagogy, this study attempted to answer how we can improve mathematics instruction through implementing interactive whiteboards. This study looked at the relationship between teachers’ understanding of math pedagogy and their willingness to implement interactive whiteboards to enhance and engage instruction at the kindergarten through eighth grade. Included in this study is the role administrators play in improving mathematics instruction. Additionally, attitudes towards engaging instruction in both teachers and administrators were analyzed. The findings and discussions led to the adaptation of Linda Lambert’s 4-quadrant matrix to a new Improving Capacity to Teach Math matrix.

Providing students with necessary intervention in the instruction of mathematics can be accomplished through the use of digital resources. Schools reaching a one-to-one (one device for every student) status have the ability to implement a digital intervention on a broad scale. For the purpose of this study, mixed methods research afforded an in-depth investigation into the impact of Khan Academy (digital intervention) embedded in a one-to-one program on student achievement, student perseverance with math, and teacher pedagogy within rural schools. The theoretical framework of educational technology integration known as Theoretical, Pedagogical, and Content Knowledge (TPACK) was woven into this study to answer the guiding research questions. While using Khan Academy in a one-to-one setting, participating students were tested twice a year utilizing the Measurement of Academic Progress (MAP) testing procedure provided by the Northwest Evaluation Association (NWEA). The testing data provided quantitative data for the study. In addition, interviews of teachers and administrators were conducted to reveal themes related to teacher pedagogy and student perseverance with mathematical problems. An analysis of MAP scores revealed that 9th- and 10th-grade high school students utilizing Khan Academy in a one-to-one program demonstrated significantly more growth when compared to national norms. The study involved 227 9th-grade and 114 10th-grade students from three rural high schools in the Pacific Northwest. Results from an analysis of means illustrated that each grade level demonstrated significantly greater growth when compared to national norms. When examined at the school level, each of the three sites once again exceeded growth norms. Further analysis of the interviews revealed a pedagogical shift directly related to the use of Khan Academy embedded in a one-to-one program. Themes related to the success of the program include the ability of Khan Academy to fill individual gaps and practice skills to mastery, the importance of student and teacher buy-in, and the ability for students to have daily, individual access to devices. Furthermore, the interviews revealed teachers and principals did not agree on whether Khan Academy impacts student perseverance; however, a theme related to Khan Academy’s ability to impact confidence with math did emerge. This study fills gaps in the existing literature regarding the academic and pedagogical impact of Khan Academy on teaching and learning. In addition, this study addresses a gap in the literature regarding rural schools’ use of a digital mathematical intervention program as a means of blended learning. Implications for educational policy can result from this study given the current political climate surrounding one-to-one and blended learning deployments. This study demonstrates that when one-to-one deployments are paired with the use of Khan Academy, student achievement can be positively impacted.

Today's economy is driven by information technology (IT). Education and business should come to an agreement that functional technology skills should be integrated with core academic courses to create an educational system that truly prepares workers for the 21st Century. The business realm theoretical foundation for this study laid on the match/mismatch established between technology—math education and business' readiness—[math] skills. The level of education and skills of workers needed by business and industry has increased. Nonetheless, scholars underlined the belief that the skills workers possess are generally not sufficient for the demands of the more sophisticated jobs in today's economy. With this study this researcher pretended to fill the gap in the literature by examining the hypothesis that poor education results in low skills is hampering U.S. businesses and the disparity between what employers need and what workers offer is getting serious enough. Within this investigation the researcher tested for first time three theories: the AST/TML theory, the TAM theory, and the Constructivist theory, whereas having behind scenes K-12's mathematics arena. This study found that "there is no statistically significant relationship between the degree to which teachers accept new technologies and technology usage in mathematics instruction" and that "teachers' individual affective reactions to technology toward integrating computers and technology into math instruction are not related to readiness skills." However, a Post Hoc analysis demonstrated that at least for one of the individual predictors, problem solving construct scores, the null hypothesis was rejected. It means in a long path to academic success, small waves of effectiveness in education are penetrating the sandy beaches of skills. Additionally, this researcher confirmed some scholars' assertion about Confirmatory Factor Analysis, which described that sample sizes smaller than 100 as dangerous and recommended using sample sizes larger than 200 for safe conclusions. Finally, the researcher tested and validated the Technology-Mediated Learning (TML) theory while adding his research positive conclusion(s) to the body of knowledge.

An ever increasing number of school districts realize the potential for online classes to allow students equal access to a high quality education. This study used quantitative methods to contribute to the body of literature pertaining to K-12 online learning and also the gender gap in mathematics, science, and English/language arts education. Research for this study focused on the extent to which the gender gap in mathematics, science, and English/language arts performance is the result of differences in the level of teacher-student interaction through analyzing students' final course grades from a school district's 6^th-12^th grade traditional courses and online courses where there is no teacher-student interaction. Student achievement was further analyzed by controlling for prior achievement, socio-economic status (S.E.S.) and ethnicity. This study intends to contribute to the body of research on the gender gap and the benefits of online education at the K-12 level.