Education Commons^™

The Activity Of Abstraction In Physical Chemistry Problem Solving And Instruction, Jessica M. Karch

Graduate Doctoral Dissertations

Productive problem solving, concept construction, and sense making occur through the core process of abstraction. Although the capacity for domain-general abstraction is developed at a young age, the role of abstraction in increasingly complex and disciplinary environments, such as those encountered in undergraduate STEM education, is not well understood. Undergraduate physical chemistry relies particularly heavily on abstraction because it uses many overlapping and imperfect mathematical models to represent and interpret phenomena occurring on multiple scales. To reconcile these models, extract meaning from them, and recognize when to apply them in problem solving requires processes of abstraction. This dissertation aims to …

Learning A New Physics Concept By Exploring Analogous Problems : An Instructional Intervention, Joanna Perry Weaver

Legacy Theses & Dissertations (2009 - 2024)

This study tested the hypothesis that exploratory learning, with and without analogous problems, would improve students’ ability to make connections between conceptually-related topics. In this randomized experiment, undergraduates in introductory physics (N = 171) studied a new topic under three different instructional conditions. Order and type of instruction varied: Two experimental groups explored the concept before hearing a lecture; a control group followed the typical sequence of hearing a lecture before working with the concept. Within the experimental condition, students in the analogy-first group simultaneously explored analogous problems; students in the explore-first group explored only the new problem with a …

Decision Making In The Sciences: Understanding Heuristic Use By Students In Problem Solving, Elizabeth Csikar

STEMPS Theses & Dissertations

The purpose of this study was to examine the use of heuristics by students and gain insight into the thought process behind their problem-solving skills. The study used an adaptive narrative as the information delivery medium. An adaptive narrative was chosen because it could be designed to simulate decision making processes encountered in real world situations. Students enrolled in an introductory biology major class were chosen for the study because their fields of interest all require complex problem solving and decision-making skills. It was of interest to investigate what decisions were made when heuristics were given and how that may …

Reading Strategies In Content Area Math, Jennifer Bachman O’Brien

Certificate of Advanced Studies (CAS) in Literacy

Since the introduction of the CCSS, expectations in math have placed greater responsibility for problem-solving on students. No longer is computation the primary focus of elementary math instruction; instead the goal has shifted to student understanding of the mathematical contexts. The aim of this action research study, guided by Vygotsky’s theory of social constructivism, was to determine the effectiveness of integrating reading and content area math, while deepening students’ skills in vocabulary, journaling, and visualizing. Nine fifth-grade students receiving Tier 2 math intervention were selected to participate in the study. Data collection consisted of pre and post measures including criterion-referenced …

The Effects Of Teaching Exponential Functions Using Authentic Problem Solving On Students’ Achievement And Attitude, Yamamah Sawalha

Wayne State University Dissertations

Most of the current mathematics education focuses on procedures and pays very little attention to conceptual understanding in many classrooms. NCTM (2000) called for improving students’ understanding to help improve their achievement. To help prepare students for the future, they need to be taught to value mathematics and realize that it is relevant to their lives. Students need to use their mathematical knowledge to solve real life problems. This can’t be achieved by focusing only on the procedures and expecting students to understand how to apply it to real life. The purpose of this study was to examine the effect …

A Program Evaluation Of Double-Period Algebra, Jason Major

Dissertations

Students in ninth grade traditionally take algebra courses, but many students come in lacking foundational skills in mathematics. High schools have tried to solve this problem by introducing double-period algebra courses with sporadic results. During this program evaluation, I interviewed an administrator and a teacher from two different high schools about the methods they used to begin and evaluate the program; I found that student-teacher relationships were the most important factor in the effectiveness of the program. Using quantitative data was a good starting point to determine the students who would benefit from the program and who would be successful, …

How Does A Next Generation Science Standard Aligned, Inquiry Based, Science Unit Impact Student Achievement Of Science Practices And Student Science Efficacy In An Elementary Classroom?, Kayla Lee Whittington

Dissertations and Theses

This study examined the impact of an inquiry based Next Generation Science Standard aligned science unit on elementary students' understanding and application of the eight Science and Engineering Practices and their relation in building student problem solving skills. The study involved 44 second grade students and three participating classroom teachers. The treatment consisted of a school district developed Second Grade Earth Science unit: What is happening to our playground? that was taught at the beginning of the school year. Quantitative results from a Likert type scale pre and post survey and from student content knowledge assessments showed growth in student …

The Effects Of Integrating Lego Robotics Into A Mathematics Curriculum To Promote The Development Of Proportional Reasoning, Shelli L. Casler-Failing

Legacy Theses & Dissertations (2009 - 2024)

This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six students. Qualitative data was collected from each of the students as they worked in groups of two to complete purposefully designed investigations, activities, from whole class discussions, and student artifacts. In addition, four students were purposefully chosen to participate as embedded case studies. The quantitative analysis showed development of proportional …

Comparing The Effectiveness Of Two Verbal Problem Solving Strategies: Solve It! And Cubes, Margaret Tibbitt

Theses and Dissertations

The purpose of this study was to find which problem solving strategy was more effective for special education students in the general education classroom; CUBES or Solve It! The students completed a pre-test, solving five single step and five multi-step word problems. The students then received four instructional and activity sessions on the CUBES and Solve It! strategies. The results indicated that the six fourth grade special education participants increased their problem solving skills after using each strategy. The Solve It! strategy resulted in a larger increase then the CUBES strategy. The students showed a slightly larger decrease in the …

An Investigation Of Factors Affecting Student Performance In Algebraic Word Problem Solutions, Jerry Eugene Wright

Education Dissertations and Projects

This dissertation was designed to investigate the potential significance of several student algebraic word problem solving skills. The solution of an algebra word problem (AWP) requires the creation and solution of an equation based on the problem context. Common Core State Standards in both English Language Arts and Mathematics emphasize student learning and proficiency in algebra word problem contexts. Eight factors of student mathematical ability were proposed, and three of those eight factors were studied in depth to determine their significance. Similar research supported the theory that the translation phase of the solution process presented the student with the most …

How Engineering Innovators Characterize Engineering Innovativeness: A Qualitative Study, Daniel Michael Ferguson

Open Access Dissertations

The use of science and engineering skills to address the problems of modern society is regarded as an economic strategy in developed countries across the world. However, business and political leaders in the United States feel that we, as a society, do not understand that new global competition can match and even outpace us on innovation. Many of the studies on innovators are not specific to engineers. This study filled a gap in the understanding of what characteristics constitute innovative behavior in engineers.

The purpose of this study was to explore engineers' views of innovation and innovators who create and …

Types Of Questions That Comprise A Teacher's Questioning Discourse In A Conceptually-Oriented Classroom, Keilani Stolk

Theses and Dissertations

This study examines teacher questioning with the purpose of identifying what types of mathematical questions are being modeled by the teacher. Teacher questioning is important because it is the major source of mathematical questioning discourse from which students can learn and copy. Teacher mathematical questioning discourse in a conceptually-oriented classroom is important to study because it is helpful to promote student understanding and may be useful for students to adopt in their own mathematical questioning discourse. This study focuses on the types of questions that comprise the mathematical questioning discourse of a university teacher in a conceptually-oriented mathematics classroom for …

Mathematic Strategies For Teaching Problem Solving: The Influence Of Teaching Mathematical Problem Solving Strategies On Students' Attitudes In Middle School, Kelly Lynn Klingler

Electronic Theses and Dissertations

The purpose of this action research study was to observe the influence of teaching mathematical problem solving strategies on students’ attitudes in middle school. The goal was to teach five problem solving strategies: Drawing Pictures, Making a Chart or Table, Looking for a Pattern, Working Backwards, and Guess and Check, and have students reflect upon the process. I believed that my students would use these problem solving strategies as supportive tools for solving mathematical word problems. A relationship from the Mathematics Attitudes survey scores on students’ attitudes towards problem solving in mathematics was found. Students took the Mathematics Attitudes survey …

Epistemic Strategies For Solving Two-Dimensional Physics Problems, Mary Elyse Hing-Hickman

Physics Theses & Dissertations

An epistemic strategy is one in which a person takes a piece of knowledge and uses it to create new knowledge. Students in algebra and calculus based physics courses use epistemic strategies to solve physics problems. It is important to map how students use these epistemic strategies to solve physics problems in order to provide insight into the problem solving process.

In this thesis three questions were addressed: (1) What epistemic strategies do students use when solving two-dimensional physics problems that require vector algebra? (2) Do vector preconceptions in kinematics and Newtonian mechanics hinder a student's ability to apply the …

Contextualized Motivation Theory (Cmt): Intellectual Passion, Mathematical Need, Social Responsibility, And Personal Agency In Learning Mathematics, Janelle Marie Hart

Theses and Dissertations

Student motivation has long been a concern of mathematics educators. Here, I characterize motivation, defined as an individual's desire to act in particular ways, through analysis of students' extended, collaborative problem solving efforts. Grounded in a longitudinal research project in calculus learning and teaching, Contextualized Motivation Theory (CMT) offers a means for understanding the complexities of student motivations in mathematics learning. Students in this study chose to act upon various intellectual-mathematical motivations and social-personal motivations, existing simultaneously, within a supporting "web" of motivations. Students exhibited intellectual passion in persisting beyond obtaining correct answers to build understandings of mathematical ideas. CMT …

The Effects Of Problem Solving Strategy Instruction, Journal Writing And Discourse On 6th Grade Advanced Mathematics Student Per, Melissa Wittcop

Electronic Theses and Dissertations

There are two purposes to this study. The first was for me, as a teacher, to try something new in my instruction and grow from it. The second purpose of this study focused on the students. I wanted to see what level of performance in problem solving my students are at currently, and how the use of journaling and discourse affected the students' problem solving abilities. A problem-solving unit was taught heuristically in order to introduce students to the various strategies that could be used in problem solving. Math journals were also used for problem solving and reflection. Classroom discourse …

Effects Of Integrating Writing Activities On Students' Attitudes And Achievement In Problem Solving: An Action Research Study, Kelly Culbert

Electronic Theses and Dissertations

This action research study investigated my practice of using writing activities in the mathematics classroom. The study was conducted to determine the effect of integrating writing with mathematics on students' achievement in, and attitudes towards problem solving, and the relationship between students' attitudes and their achievement in problem solving. The study was conducted over a six-week period. Students participated in daily problem solving activities. Data were collected using a problem solving themed writing rubric for evaluating student journal responses, anecdotal records, and using a pre- and posttest problem solving attitude inventory. In this study, students demonstrated overall increased mathematical knowledge, …

A Comparison Of Reading Comprehension And Problem Solving Abilities, Darren A. Cooper

All Graduate Projects

Recommendations of the National Council of Teachers of Mathematics and the Washington State Commission on Student Learning Essential Academic Requirements are addressed. Reading comprehension and problem solving skills of 9th grade students at Zillah High School are compared to see if a correlation between these two abilities exists. Recommendations for creating and implementing a curriculum are given.

Improving Students' Math Problem-Solving Skills In A Computer-Assisted Learning Environment, Yongjian Zhen

Theses Digitization Project

No abstract provided.

Electronic Portfolio For Mathematical Problem Solving In The Elementary School, Patricia Amelia Deragisch

Theses Digitization Project

Electronic portfolio for mathematical problem solving in the elementary school is an authentic assessment tool for teachers and students to utilize in evaluating mathematical skills. It is a computer-based interactive software program to allow teachers to easily access student work in the problem solving area for assessment purposes, and to store multimedia work samples over time.

Extending And Exploring Students' Problem Solving Via Problem Posing, Elena N. Stoyanova

Theses: Doctorates and Masters

Despite the fact that problem posing has been recommended as a useful mathematical activity in the curriculum documents of several countries, research about the types of problem-posing situations in which students could be involved, and about the effects of these problem-posing activities on students' mathematical performance is limited. The application of problem posing in school mathematics has been hindered by the absence of a framework which links problem posing, problem solving and mathematics curricula

Mathematics Curriculum Implementation For The Sixth Grade, Steven Anthony Knap

Theses Digitization Project

No abstract provided.