Education Commons^™

Curriculum For All: An Introduction To Calculus, Maggie Scott

Honors Theses

Math is one of the only subjects that builds upon itself throughout a student’s educational career. Progressing through each course, students are taught concepts that build upon each other year after year. The content is engaged with itself, yet, it’s historically taught in a non-engaging way. Through my research of math education and my experience as a math teacher, it’s apparent that the most successful math classrooms are the ones that elicit student thinking and allow for self-discovery. (Azad)

Most people have very polarized views of math. Some love it, and some hate it, but almost all students can remember …

A Collection Of Calculus Lesson Plans: Deriving The 'Why' Behind Derivatives, Kasey Brabec

Honors Theses

The traditional mathematics classroom is led with a focus on procedural understanding, with deep conceptual understanding considered to be unimportant or too difficult to teach within the allotted time. Both levels of understanding are important mathematical competencies, as it is rare for either of them to function well without accessibility to the other. The disparity between conceptual understanding and procedural understanding in the mathematics classroom is no larger than in courses like Calculus. This project is a collection of fifteen lesson plans constructed with an emphasis on conceptual understanding and the connectivity of Calculus. Each lesson plan’s overview contains the …

The Effectiveness Of A Program Based On Mathematical Communication On Conceptual Understanding And Mathematics Anxiety Of Eighth-Grade Students فاعلية برنامج قائم على الاتصال الرياضي في الفهم المفاهيمي وقلق الرياضيات لدى طلبة الصف الثامن الأساسي في الاردن, Amani Mashhour Al-Rifai, Prof. Amal A. Alkhasawneh, Prof. Ail Ahmad Al-Barakat

Jordanian Educational Journal

Abstract: The present study aimed to investigate the effectiveness of a program based on mathematical communication in conceptual understanding and the level of mathematics anxiety among eighth grade students. The study sample consisted of (54) students of eighth grade students enrolled in two schools in the town of Ala'al belonging to the Directorate of Education of the brigade of Irbid during the second semester of the academic year 2017-2018, distributed equally to two groups (experimental, control). Experimental group subordinated to a program based on mathematical communication. The other was a control group studied by a traditional method. The study adopted …

Impact Of Computer Simulations On Uae Students’ Learning Of Newton’S Second Law Of Motion And Attitudes Toward Physics Within The Context Of Scientific Inquiry, Khaleel Shehadeh Alarabi

Dissertations

Unlike traditional instructional strategies, Computer Simulations (CSs) have lately been receiving increasing attention and applications within the international physics education community. This study aims to investigate the impact of CSs within an inquiry-based learning environment on the UAE grade 11 students’ performance in Newton’s Second Law of Motion (NSLOM). The study also investigates the impact of CSs within an inquiry-based learning environment on students’ Attitudes towards Scientific Inquiry (ASI), Enjoyment of Science Lessons (ESL), and Career Interest in Science/physics (CIS). The sample of the study consisted of 90 male and female students chosen from a population comprised of public-school grade …

Evaluating High School Biology Modeling Instruction In South Florida: A Comparative Case Study, Feng Li

FIU Electronic Theses and Dissertations

The dissertation, with a collected papers approach, focused on evaluating the implementation of MI curriculum in high school Biology I classes in south Florida. The dissertation included the development and validation of the Biology Identity and Persistence Survey (BIPS), the connection of instructors’ teaching practices with students’ biology identities, evolution identities, and career aspirations, and the connection of instructors’ teaching practice with students’ conceptual understanding in evolution. In the first part of the dissertation study, the BIPS was validated through expert review and student cognitive interviews for its face and content validity. Confirmatory factor analysis addressed the construct validity of …

Developing Conceptual Understanding And Procedural Fluency In Algebra For High School Students With Intellectual Disability, Andrew J. Wojcik

Theses and Dissertations

Teaching students with Intellectual Disability (ID) is a relatively new endeavor. Beginning in 2001 with the passage of the No Child Left Behind Act, the general education curriculum integrated algebra across the K-12 curriculum (Kendall, 2011; National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010), and expansion of the curriculum included five intertwined skills (productive disposition, procedural fluency, strategic competence, adaptive reasoning, and conceptual understanding) (Kilpatrick, Swafford, & Findell, 2001). Researchers are just beginning to explore the potential of students with ID with algebra (Browder, Spooner, Ahlgrim-Delzell, Harris & Wakeman, 2008; Creech-Galloway, Collins, Knight, …

Conceptual Understanding: A Concept Analysis, Susan Mills

The Qualitative Report

The term conceptual understanding was analyzed to determine how educators can help students attain understanding in a concept based curriculum. The investigator sought to establish what salient dimensions and conditions supported conceptual understanding. A dimensional analysis of the term conceptual understanding was employed through a review of the literature in mathematics, science, psychology, and nursing education. The salient dimensions of conceptual understanding were identified as: factual and procedural knowledge, connections, transfer, and metacognition. The supporting properties included: meaningful learning activities, memorization, and misconceptions. The results substantiate conceptual understanding as a process. When this process is utilized by nurse educators, students …

Effect Of An Interactive Component On Students' Conceptual Understanding Of Hypothesis Testing, Sarah Anne Inkpen

Walden Dissertations and Doctoral Studies

The Premier Technical College of Qatar (PTC-Q) has seen high failure rates among students taking a college statistics course. The students are English as a foreign language (EFL) learners in business studies and health sciences. Course delivery has involved conventional content/curriculum-centered instruction with minimal to no interactive components. The purpose of this quasi-experimental study was to assess the effectiveness of an interactive approach to teaching and learning statistics used in North America and the United Kingdom when used with EFL students in the Middle East. Guided by von Glasersfeld's constructivist framework, this study compared conceptual understanding between a convenience sample …

Integrating Writing In The Middle-Level Mathematics Classroom: An Action Research Study, Alyssa Beavers, Brandon L. Fox, Jamaal Young, Elizabeth M. Bellows, Leah Kahn

MLET: The Journal of Middle Level Education in Texas

Discourse in mathematics refers to the written and oral communication that occurs in the mathematics classroom. Yet, in many classrooms in the United States, writing is often taught remotely in the classroom of a language arts teacher. In this action research project, our focus was on improving students’ written expressions and explanations in the middle-level mathematics classroom. The purpose of this action research was to examine and evaluate the effect writing has on students’ mathematical thinking processes and skills. Over the course of eight weeks, students were presented with various writing assignments in mathematics. Students were given approximately 20 minutes …

Fourth And Eighth Grade Students' Conceptions Of Energy Flow Through Ecosystems, Ashlie Beals Arkwright

Theses and Dissertations--Education Sciences

This mixed methods status study examined 32 fourth grade students’ conceptual understandings of energy flow through ecosystems prior to instruction and 40 eighth grade students’ conceptual understandings of the same topic after five years of daily standards-based instruction in science. Specific ecological concepts assessed related to: 1) roles of organisms; 2) the sun as the original energy source for most ecosystems; and 3) interdependency of organisms.

Fourth and eighth grade students were assessed using the same three-tiered forced-choice instrument, with accompanying tasks for students to defend their forced-choice selections and rate their level of confidence in making the selections. The …

Assessing The Impact Of Computer Programming In Understanding Limits And Derivatives In A Secondary Mathematics Classroom, Christopher H. De Castro

Middle-Secondary Education and Instructional Technology Dissertations

This study explored the development of student’s conceptual understanding of limit and derivative when specific computational tools were utilized. Fourteen students from a secondary Advanced Placement Calculus AB course explored the limit and derivative concepts from calculus using computational tools in the Maple computer algebra system. Students worked in pairs utilizing the pair-programming collaborative model. Four groups of student pairs constructed computational tools and used them to explore the limit and derivative concepts. The remaining four student pairs were provided similar tools and asked to perform identical explorations.

A multiple embedded case design was utilized to explore ways students in …

Fostering Teacher's Conceptual Understanding Of Ordering, Adding, And Subtracting Fractions Through School-Based Professional Development, Jessica Maguhn

Electronic Theses and Dissertations

In an attempt to examine my practice of providing conceptually-based professional development on fractions to fifth grade teachers, I conducted a series of four one hour professional development workshops. I focused on the conceptual understanding of ordering, adding, and subtracting fractions. I examined the solution process that teachers used to solve fraction problems and their abilities to explain and justify their solutions in an attempt to interpret their understanding. My data showed the effects of this workshop series. The study helped determine the effects of conceptually-based professional development on fractions as demonstrated in the teachers' discussions, participation, and written explanations.

Assessing The Development Of High School Chemistry Students' Conceptual And Visual Understanding Of Dimensional Analysis Via Supplemental Use Of A Proprietary Interactive Software Program, Jennifer Tennille Pinder Ellis

LSU Doctoral Dissertations

This study was designed to evaluate the effects of the proprietary science education software, “Conversionoes,” on students' conceptual and visual understanding of dimensional analysis. The participants in the study were high school general chemistry students enrolled in two public high schools with different demographics (School A and School B) in the Chattanooga, Tennessee, metropolitan area. A mixed methods design was used in the data collection and analysis to provide a holistic view of the impact of the software on student learning, via a value-added design. The resulting qualitative and quantitative data indicated that the Conversionoes software enhanced the treatment groups’ …