Science and Mathematics Education Commons^™

Inquiry Based Learning From The Learner’S Point Of View: A Teacher Candidate’S Success Story, Caroline Johnson Caswell, Derek J. Labrie

Journal of Humanistic Mathematics

The goal of this paper is to review current research on Inquiry Based Learning (IBL) and shed some light, from a student's perspective, on the challenges and rewards of this pedagogy. The first part of the article provides an extensive review of the literature on IBL. The second part focuses on one student's experiences in an IBL classroom.

In particular, a graduate secondary mathematics student reflects upon his experiences in a college mathematics class where the instructor implemented an Inquiry Based Learning model. His experience is validated by current research on IBL educational methodology which structures the classroom environment for …

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 Effects Of Supplemental Instruction On Student Achievement In College Algebra, Rhonda C. Porter

Georgia Journal of Science

College algebra consistently has a very high number of students performing poorly. An experimental study addressing student performance was conducted. Two college algebra classes each with 25 students and with the same teacher were used, one as the control group and the other as the experimental group. The experimental class included mandatory supplemental instruction for an extra class period per week. T-tests were used to compare performances on each test and homework. A repeated measures 2 X 2 ANOVA was used to compare the students' performance on a pretest and a posttest between each class. The Mann-Whitney U test was …

The Importance Of Using Manipulatives In Teaching Math Today, Joseph M. Furner, Nancy L. Worrell

Transformations

This paper explores the research and use of mathematics manipulatives in the teaching of mathematics today during an age of technology and standardized testing. It looks at the drawbacks and cautions educators as they use math manipulatives in their instruction. It also explores some cognitive concerns as a teacher goes about teaching with math manipulatives. The paper shares many commonly used math manipulatives used in today’s classrooms and matches them up to some of the Common Core Math Standards that are taught today in classrooms in the USA and around the world.

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

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

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.

Volume 7, Issue 1, Catherine Scott

Catalyst: A Social Justice Forum

The Science, Technology, Engineering, and Mathematics (STEM) field is greatly promoted as a career path for students in recent years, and the demand for individuals specializing in STEM disciplines is expected to rise. Often, when considering STEM, one thinks of careers related to medicine, laboratory settings, or the pure sciences. However, in examining only these aspects of STEM, we may errantly overlook the impacts that P-20 education may have in using STEM as a means for improving student lives. One unique aspect of STEM is its role in helping to improve our well being as individuals and society as a …

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. …

Stem Integration: Math, Meet Biology!, Lindsey Herlehy, Karen Togliatti

Publications & Research

Join us for three hands-on, inquiry-based activities integrating mathematical and scientific thinking. First, explore patterns in the powers of ten and use this information to sort a set of images and design a scale model of an E. coli's DNA. Then, simulate a colorful biotechnology application using new tools and laboratory skills. Art, science, and math intersect in an activity merging coordinate geometry, symmetry, and biotechnology skills. NGSS and CCSS practice standards will be demonstrated.

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

School of Education and Leadership 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 …

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

School of Education and Leadership 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 …

Middle And High-School Teacher Perceptions Of The Mathematics Georgia Standards Of Excellence, Marnie Dutcher

Theses and Dissertations

Public education in the United States had frequent curriculum changes throughout history. The curriculum initiatives of the past had a focus on improving education in schools based on one of four topics: (a) common standards, (b) preparing students for post-secondary education, (c) improving the quality of education, and (d) increasing the rigor of the content (Wallender, 2014). In February 2015, the Georgia State Board of Education approved revisions to the Common Core Mathematics Curriculum, which was the third set of mathematics curriculum standards implemented in Georgia since 2012. The standards were named The Georgia Standards of Excellence Mathematics Curriculum (GSE). …

The Relationship Between Elementary Teachers' Background In Mathematics, Teaching Self-Efficacy, And Teaching Outcome Expectancy When Implementing The Common Core State Standards, Jennifer Stuart

Doctoral Dissertations and Projects

The purpose of this correlation study was to identify a possible relationship between elementary teacher background in mathematics as measured by completed college math credit hours, district-provided professional development hours of training in Common Core math standards, and years of teaching experience, and teacher efficacy in math as measured by personal teaching self efficacy and outcome expectancy. The sample in the present study consisted of 69 elementary (K-5) math teachers in a medium-sized semi-rural district located within a southern state. The data was collected using the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), an online survey that was sent to the …

The Effects Of Desmos And Ti-83 Plus Graphing Calculators On The Problem-Solving Confidence Of Middle And High School Mathematics Students, Edwin Montijo

Doctoral Dissertations and Projects

As technology in education continues to improve, research is necessary to assess the impact it is having on students’ confidence in the way students solve mathematics problems. The purpose of this quasi-experimental, non-equivalent control-group comparison study is to examine the impact the Desmos graphing calculator has on the problem-solving confidence of middle school and high school students as compared to students who use a TI-83 Plus graphing calculator while controlling for students’ math achievement scores. The students (N = 146) participating in this study were learning their respective mathematics material for an equivalent period of 12 weeks in order to …

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 significant …

Metaphors And Mathematical Identity: Math Is Like A Tornado In Kansas, Carmen M. Latterell, Janelle L. Wilson

Journal of Humanistic Mathematics

Mathematical identity is an individual’s concept of who he or she is mathematically. In this paper, metaphors for mathematics from elementary education majors are compared to metaphors created by secondary mathematics teaching majors. The analysis demonstrates a basic difference in the mathematical identity of the two groups, with the latter group having more holistic conceptions of mathematics than the first group. Elementary education majors describe mathematics as an ongoing struggle in which the mathematics is active, and they are the victims. The secondary teaching mathematics majors describe mathematics as an ongoing struggle in which they are active.

Review Of Qmasc: A Handbook For Directors Of Quantitative And Mathematics Support Centers Edited By Grace Coulombe, Mary B. O’Neill, And Michael Schuckers (2016), Vera Frith

Numeracy

Grace Coulombe, Mary B. O’Neill, and Michael Schuckers (Eds). QMaSC: A Handbook for Directors of Quantitative and Mathematics Support Centers. (Tampa FL: USF Libraries – Tampa Library, 2016). http://scholarcommons.usf.edu/qmasc_handbook/

The over thirty different authors of this handbook, all of whom are experienced in supporting learning in mathematics and quantitative disciplines, provide a useful perspective on the practical issues that affect the running of a learning support centre, as well as the problems of working within a complex institution of higher education. The handbook contains information on leadership and management, how to maintain community interactions, managing staffing (including hiring and …

Providing Open-Access Know How For Directors Of Quantitative And Mathematics Support Centers, Michael Schuckers, Mary B. O'Neill, Grace Coulombe

Numeracy

The purpose of this editorial is to introduce the quantitative literacy community to the newly published A Handbook for Directors of Quantitative and Mathematics Centers. QMaSCs (pronounced “Q-masks”) can be broadly defined as centers that have supporting students in quantitative fields of study as part of their mission. Some focus only on calculus or mathematics; others concentrate on numeracy or quantitative literacy, and some do all of that. A QMaSC may be embedded in a mathematics department, or part of a learning commons, or a stand-alone center. There are hundreds of these centers in the U.S. The new handbook, …

Maths Games: A Universal Design Approach To Mathematical Reasoning, Kelley E. Buchheister, Christa Jackson, Cynthia E. Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

By incorporating math games into the classroom, through the principles of Universal Design teachers are able to address mathematical content, reasoning and problem solving, as well as tailoring games to address students' individual needs.

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 …

Opportunity To Learn Mathematics In Low And High Performing Countries : A Cross-National Analysis Of Teachers Enacting The Curriculum And Associated Factors, Treisy Romero Celis

Legacy Theses & Dissertations (2009 - 2024)

This exploratory study compares the opportunities to learn mathematics intended and enacted between countries with high and low student average performance levels, according to the Trends in International Mathematics and Science Study (TIMSS). It analyzes the differences in OTL in relation to some of the factors that influence teachers’ instructional decisions. The analysis contributes to the knowledge about teachers’ role in the enactment of mathematics curricular policy and that of curricular governance.

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 …

Mathematics Discourse And Its Relationship To The Development Of Collective And Individual Student Knowledge In The Context Of Limits, Patterson Rogers

Legacy Theses & Dissertations (2009 - 2024)

Observing a group discussion, it is not possible to infer an individual student’s understanding from the dialogue. When students discuss, they share their individual ideas to develop a collective understanding which in turn informs students’ individual understanding. Clarifying the relationship between collective and individual understanding provides insight into how individuals construct mathematical thinking. This study presented an embedded case study to answer three questions regarding the role discourse plays in student development of mathematical knowledge: (1) how individual students construct mathematical knowledge through discourse, (2) the nature of discourse which supports the development of mathematical knowledge, and (3) the relationship …

Give Me A Formula Not The Concept! Student Preference To Mathematical Problem Solving, Manveer Mann, Mary C. Enderson

STEMPS Faculty Publications

Purpose of Study: The purpose of this study was to assess student preference for procedural (formula-driven) versus conceptual (concept-driven) approaches to solve mathematical problems. Additionally, we evaluated differences in preferences among students who performed above average and those who performed at or below average on simple arithmetic problems.

Methods/Design and Sample: We used a single-factor (Instructional Approach: conceptual vs. procedural) between-subjects experiment. Instructional approach was manipulated using short embedded instructional videos. Students evaluated each approach on a five-point scale.

Results: We found that students (above-average and average/below-average) preferred the procedural approach to the conceptual approach. Interestingly, however, although students preferred …

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 …

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 the …

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

College of Graduate Studies: Theses & 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 …

Research Trends In The Use Of Mobile Learning In Mathematics, Helen Crompton, Diane Burke

Teaching & Learning Faculty Publications

The use of mobile learning in education is growing at an exponential rate. To best understand how mobile learning is being used, it is crucial to gain a collective understanding of the research that has taken place. This research was a systematic review of 36 studies in mobile learning in mathematics from the year 2000 onward. Eight new findings emerged: (1) The primary purpose of most studies was to focus on evaluating mobile learning. (2) Case studies and experimental design were the main research methods. (3) Most studies report positive learning outcomes; (4) Mobile phones were the mobile device used …

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 …