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## Full-Text Articles in Education

How Does Using A Student Interest Inventory Benefit Teachers And Teacher Candidates?, Laura Redinger

#### How Does Using A Student Interest Inventory Benefit Teachers And Teacher Candidates?, Laura Redinger

*Senior Honors Theses*

Using a Student Interest Inventory and interest-aligned mathematics problems, this article connects interest alignment with student performance. The findings from this pilot study reveal students’ performance increased when interest-based problems were incorporated into their mathematics curriculum. These findings serve to inform teachers wishing to increase student performance and engagement in their classroom. They may also inform teacher candidates completing the Educative Teacher Performance Assessment (edTPA), particularly with Task 1.

Beyond Problem-Solving: Elementary Students’ Mathematical Dispositions When Faced With The Challenge Of Unsolved Problems, Jenna R. O'Dell

#### Beyond Problem-Solving: Elementary Students’ Mathematical Dispositions When Faced With The Challenge Of Unsolved Problems, Jenna R. O'Dell

*Theses and Dissertations*

The goal of this study was to document the characteristics of students’ dispositions towards mathematics when they engaged in the exploration of parts of unsolved problems: Graceful Tree Conjecture and Collatz Conjecture. Ten students, Grades 4 and 5, from an after-school program in the Midwest participated in the study. I focused on the cognitive, affective, and conative aspects of their mathematical dispositions as they participated in 7 problem-solving sessions and two interviews.

With regard to cognitive aspects of the students’ dispositions, I focused on the students attempts to identify and justify patterns for labeling graphs. Overall, the unsolved problems were ...

The Effectiveness Of The Flipped Classroom For Students With Learning Disabilities In An Algebra I Resource Setting, Ashley Butterick

#### The Effectiveness Of The Flipped Classroom For Students With Learning Disabilities In An Algebra I Resource Setting, Ashley Butterick

*Theses and Dissertations*

The purpose of this study was: (a) to examine the effectiveness of using the flipped classroom model to improve the academic scores of students with a specific learning disabilities (SLD), (b) to examine the effectiveness of using the flipped classroom to improve rates of homework completion by students with a SLD and (c) to evaluate student satisfaction and perception of the flipped classroom intervention. Five high school students, four males and one female, with a SLD participated in the study. A single subject ABAB design was used. During the baseline phases, students received Algebra I instruction through a traditional classroom ...

An Exploration Of The Math Names For Numbers: An Early Childhood Mathematics Intervention, Suzanne Magargee

#### An Exploration Of The Math Names For Numbers: An Early Childhood Mathematics Intervention, Suzanne Magargee

*Theses & Dissertations*

A longitudinal study of the effects of an early childhood mathematics intervention was conducted in 2 private elementary schools in a large city in central Texas. The study included 377 participants in prekindergarten through fifth grades. Explicit non-inverted number names were taught in English and Spanish to prekindergarten and kindergarten students, with formative assessments conducted during this timeframe. Summative assessment results from standardized achievement tests were collected in grades 1 through 5 from 341 of the participants. Normal curve equivalent scores of total mathematics achievement, problem solving, and mathematics procedures were compared among groups of children with no or up ...

Student-Created Test Sheets, Samuel Laderach

#### Student-Created Test Sheets, Samuel Laderach

*Honors Projects*

Assessment plays a necessary role in the high school mathematics classroom, and testing is a major part of assessment. Students often struggle with mathematics tests and examinations due to math and test anxiety, a lack of student learning, and insufficient and inefficient student preparation. Practice tests, teacher-created review sheets, and student-created test sheets are ways in which teachers can help increase student performance, while ridding these detrimental factors. Student-created test sheets appear to be the most efficient strategy, and this research study examines the effects of their use in a high school mathematics classroom.

Making Sense Of School Reform: A Case Study Of Mathematics And Science Teachers' Sensemaking With One District's Differentiation And Detracking Initiatives, Katelyn Daplyn Skinner

#### Making Sense Of School Reform: A Case Study Of Mathematics And Science Teachers' Sensemaking With One District's Differentiation And Detracking Initiatives, Katelyn Daplyn Skinner

*Theses and Dissertations*

The purpose of this case study was to examine how individual science and mathematics teachers within a particular high school made sense of a district differentiation effort. A focus on teachers' perceptions and interpretations of this effort was targeted through the theoretical framework of sensemaking. Two of the teachers were present for an initial detracking reform effort, which enabled the researcher to examine their sensemaking of both initiatives.

There were clear differences in the sense that teachers made of the differentiation initiative. Additionally, there were multiple factors that impacted teacher sensemaking; the district initiative was not one of these factors ...

A Study Of Perceptions Of Math Mindset, Math Anxiety, And View Of Math By Young Adults, Tami L. Hocker

#### A Study Of Perceptions Of Math Mindset, Math Anxiety, And View Of Math By Young Adults, Tami L. Hocker

*Doctor of Education (Ed.D)*

This study’s purpose was to determine whether instruction in growth math mindset led to change in perceptions of 18-22-year-old at-risk students in math mindset, math anxiety, and view of math. The experimental curriculum was created by the researcher with the guidance of experts in mathematics and education and focused on the impact of brain growth and learning supported by positive math mindset. Young adult public charter high school at-risk students were surveyed before and after completion of the experimental intervention to measure their perceptions in the domains of Math Mindset, Math Anxiety, and View of Math. The results revealed ...

Sfl In The Secondary Classroom: Writing Procedural Recounts To Describe Thinking When Solving Algebraic Equations, Theresa Brunker

#### Sfl In The Secondary Classroom: Writing Procedural Recounts To Describe Thinking When Solving Algebraic Equations, Theresa Brunker

*School of Education Student Capstone Theses and Dissertations*

The research questions addressed in this classroom study were, after explicit instruction, do students choose language structures inherent to procedural recounts, such as technical verb processes, precise nouns, sequence words and causal phrases to describe their mathematical thinking? Additionally, do student self-perceptions of their mathematical abilities change after learning to write procedural recounts to describe their thinking processes? This study examined the use of these language structures prior to explicit instruction in writing procedural recounts and compared it to post-intervention writing samples. The author documents the use of these writing structures by participants before and after intervention and finds relational ...

English Learners’ Oral Production Of Math Vocabulary In A Play-Infused Kindergarten Classroom, Meagan Reissy

#### English Learners’ Oral Production Of Math Vocabulary In A Play-Infused Kindergarten Classroom, Meagan Reissy

*School of Education Student Capstone Theses and Dissertations*

Research indicates that ELs’ vocabulary knowledge is an important basis for building communication skills in a second language, as well as a strong predictor of later academic skills. High quality vocabulary instruction is crucial and the literature emphasizes direct instruction techniques with words that are intentionally selected (Anderson & Nagy, 1993; Christ, 2007; Silverman & Crandell, 2010). However, little research has been done in kindergarten classrooms that teach through a play-based curriculum which avoids extensive amounts of direct instruction. This qualitative casestudy of two ELs in a kindergarten classroom using the Angry Birds Playground (ABP) framework to guide curriculum and instruction addresses students’ math vocabulary acquisition within a play-based classroom. Specifically, it examined the ways play was infused into lessons and how students orally produced target vocabulary words during math tasks. Data collection included the following sources: (a) audio and video recordings of classroom interactions; (b) reflective interviews with the kindergarten teacher and the two focal students; (c) observational field notes; (d) audio recordings of planning time between the classroom teacher and the EL teacher, and; (e) worksheets and photographs of student work. Study results suggest that play, in this classroom, incorporated either independent ...

The Influence Of Multiple Representations On Secondary Students' Understanding Of Trigononetric Functions, Mayra Lizeth Ortiz Galarza

#### The Influence Of Multiple Representations On Secondary Students' Understanding Of Trigononetric Functions, Mayra Lizeth Ortiz Galarza

*Open Access Theses & Dissertations*

Trigonometry is a critical subject in mathematics that both high school and undergraduate students need to learn in order to be prepared for advanced mathematics. Despite the importance of trigonometry in the mathematics curriculum, little is known about best practices for teaching trigonometric functions and what difficulties students face when learning the topic. Using a Grounded Theory approach, this Dissertation presents the results of a design study (or teaching experiment) whose purpose was to examine the process by which students constructed the concept of trigonometric functions through multiple representations and how students developed meta-representational competence. The design study involved two ...

Towards A Unified Theory Of Engineering Education, Oscar Humberto Salcedo

#### Towards A Unified Theory Of Engineering Education, Oscar Humberto Salcedo

*Open Access Theses & Dissertations*

STEM education is an interdisciplinary approach to learning where rigorous academic concepts are coupled with real-world lessons and activities as students apply science, technology, engineering, and mathematics in contexts that make connections between school, community, work, and the global enterprise enabling STEM literacy (Tsupros, Kohler and Hallinen, 2009). The purpose of the Dissertation is to develop a unified theory of engineering education based on philosophies of mathematics, science, technology & engineering, and engineering education. Using purposive sampling methods, the Thesis constructs "representative" philosophy statements from the STEM fields based on the criteria of Constructivism, Progressivism, and/or Pragmatism. These statements are analyzed to identify significant constructs embedded in them. Eighty-seven constructs were identified of which 32 were mentioned more than 100 times. These 32 were synthesized into the 8 super constructs below using Hermeneutic Circle and Mayer and Sparrowe concept integration methods: 1) Science, 2) Social, 3) Engineering, 4) Technology, 5) Knowledge, 6) Concept, 7) Philosophy, and 8) Mathematics. These constructs are then used to argue for a new model and approach to curriculum and instructional integration, and the role for engineering education in the STEM classroom. Since "science" and "society" were the two most powerful constructs, the integrated model argues that the "S" in STEM should be read as Science: natural and social which adds significantly from social science, liberal arts, humanities to the STEM construct. The model argues the reconceptualization of instruction less as exposure to separate fields of content to be mastered and more as a correlating center of student experiences with the meaningful construction and application of knowledge to activity.

Keywords: Mathematics; Engineering Education; Philosophy of Education; Philosophy of Engineering, Liberal Arts; Constructivism; Epistemology.

#### Instructional Strategies Used By Effective Mathematics Teachers In Adventist Elementary Schools In Florida: An Mqi Analysis, Anna Adkins

*Dissertations*

The Problem

Teaching mathematics can be a difficult task. United States students on comparative international mathematics assessments consistently rank near the test averages. On a national assessment, commonly called the Nation’s Report Card, more than half of American students rank as ‘not proficient’ in mathematics. The purpose of this study was to describe the strategies used by teachers with at least average mathematical knowledge for teaching. This was evidenced by their scores on the Mathematical Knowledge Test for Teaching (MKT). In addition to teacher knowledge, the study sample was selected from among schools where the five-year average was above ...

Students' Mathematics Self-Efficacy, Anxiety, And Course Level At A Community College, Scott Reiner Spaniol

#### Students' Mathematics Self-Efficacy, Anxiety, And Course Level At A Community College, Scott Reiner Spaniol

*Walden Dissertations and Doctoral Studies*

Research suggests that student success in mathematics is positively correlated to math self-efficacy and negatively correlated to math anxiety. At a Hispanic serving community college in the Midwest, developmental math students had a lower pass rate than did college-level math students, but the role of math self-efficacy and math anxiety on these students' learning was unknown. This causal comparative, correlational study, guided by social cognitive theory and math anxiety research, hypothesized that students in developmental math would have lower levels of math self-efficacy and higher levels of math anxiety, and that significant correlations would exist between course level, self-efficacy, and ...

“I’M Not Good At Math”: Mathematical Illiteracy And Innummeracy In The United States, G. Wesley Rogers

#### “I’M Not Good At Math”: Mathematical Illiteracy And Innummeracy In The United States, G. Wesley Rogers

*Electronic Theses and Dissertations*

Why do we view mathematics the way we do in the United States and how have these views created an environment where we consider mathematical illiteracy and innumeracy socially and culturally acceptable when a lack of this knowledge and ability can function to enslave, exploit, restrict, and oppress. Throughout this investigation, I have explored some of the possible reasons for why we view education, mathematics, and the learning of mathematics the way we do and the impact of these views on our motivation and desire to learn mathematics. Using my over 20 years of teaching experience and the review of ...