Education Commons^™

Students' Epistemological Beliefs Of Mathematics When Taught Using Traditional Versus Reform Curricula In Rural Maine High Schools, Glenn T. Colby

Electronic Theses and Dissertations

This study compared students’ epistemological beliefs of mathematics after completing 3 years of a reform-oriented curriculum developed by the Core-Plus Mathematics Project (CPMP) versus a more traditional curriculum developed by Glencoe Mathematics. The Conceptions of Mathematics Inventory (CMI; Grouws, Howald, & Colangelo, 1996) was administered to 11th-grade students in four rural Maine high schools (n=102) to measure student beliefs of mathematics. CPMP was used as the primary textbook series in 2 of the schools, while the other 2 schools used Glencoe Mathematics. A variation of the Reformed Teaching Observation Protocol (RTOP; Piburn & Sawada, 2000) and teacher questionnaires were used …

Thinking Outside The Box: An Introspective Look At The Use Of Art In Teaching Geometry, Elizabeth Heskett

Senior Honors Theses and Projects

Geometry is typically thought of as a discipline in mathematics that is taught using formulas and basic shapes, but this idea is only the beginning. Geometry can be combined with art to enhance mathematical lessons for students. Educators must realize that visual representations of different mathematical concepts are a wonderful way to teach children geometry in a meaningful way. The “fundamental notion that integrating the arts into one’s teaching can help facilitate learning in the mathematics classroom, as the arts can recapture the wonder of learning mathematics. The connection between instruction and imagination is bridged and learning becomes play, and …

Analyzing The Effects Of Inquiry-Based Instruction On The Learning Of Atmospheric Science Among Pre-Service Teacher Education Students, Robert James Ruhf

Dissertations

This study tested whether or not pre-service teacher education students enrolled in inquiry-based earth science courses gained more thorough knowledge, comprehension, and application proficiencies with regard to atmospheric science concepts included in the Michigan Curriculum Framework for Science Education---the content standards of the Michigan State Board of Education for K-12---than did pre-service teacher education students enrolled in a traditionally-based earth science lecture/laboratory course. Content proficiencies were tested at the beginning of the semester (the pretest) and again at theend of the semester (the posttest). A sample of students participated in post-test interview sessions designed to examine in depth their knowledge, …

Statistics: Raising The Bar For The Seventh Grade Classroom., Sherry Lynn Mullins

Electronic Theses and Dissertations

After recognizing the need for a more thorough concentration of statistics at the seventh grade level, the author concluded that it would be a good idea to include statistics that cover both seventh and eighth grade Virginia Standards of Learning. Many years of administering the SOL mathematics test at the eighth grade level led the author to the understanding that some of the more advanced seventh graders would be missing some key concepts taught in eighth grade because those advanced students would be taking algebra in the eighth grade. In this thesis, the author has developed four units that she …

An Introduction To Number Theory Prime Numbers And Their Applications., Crystal Lynn Anderson

Electronic Theses and Dissertations

The author has found, during her experience teaching students on the fourth grade level, that some concepts of number theory haven't even been introduced to the students. Some of these concepts include prime and composite numbers and their applications. Through personal research, the author has found that prime numbers are vital to the understanding of the grade level curriculum. Prime numbers are used to aide in determining divisibility, finding greatest common factors, least common multiples, and common denominators. Through experimentation, classroom examples, and homework, the author has introduced students to prime numbers and their applications.

Combinatorics For The Third Grade Classroom., Rita Jane Mcfaddin

Electronic Theses and Dissertations

After becoming interested in the beauty of numbers and the intricate patterns of their behavior, the author concluded that it would be a good idea to make the subject available for students earlier in their educational experience. In this thesis, the author developed four units in combinatorics, namely Fundamental Principles, Permutations, Combinations, and Pascal's Triangle, which are appropriate for third grade level.

Creating Communities Of Mathematical Thinkers In The Pre-Kindergarten Classroom., Robin Penley Herndon

Electronic Theses and Dissertations

This thesis describes a standards-based pre-kindergarten mathematics curriculum. The purpose of this thesis was to create a series of original lesson plans for the pre-kindergarten classroom that would address defined standards with instructional and other materials appropriate for teaching and assessing student understanding of the concepts. The curriculum is based on standards set forth by the National Council of Teachers of Mathematics and the Virginia Department of Education's Foundation Blocks for Early Learning. The body of the work introduces the foundation for the thesis with theoretical underpinning, defines the content strands and learning objectives, establishes a pacing schedule for meeting …

The Language Of Mathematics: Mathematical Terminology Simplified For Classroom Use., Beverly Karen Owens

Electronic Theses and Dissertations

After recognizing the need for a simpler approach to the teaching of mathematical terminology, I concluded it would be valuable to make a unit of simplified terms and describe methods of teaching these terms. In this thesis I have compared the terminology found in the Virginia Standards of Learning objectives to the materials found at each grade level. The units developed are as follows: The Primary Persistence Unit- for grades K-2; The Elementary Expansion Unit- for grades 3-5; and The Middle School Mastery Unit- for grades 6-8.

Graph Theory For The Middle School., Laura Ann Robinson

Electronic Theses and Dissertations

After being introduced to graph theory and realizing how it can be utilized to solve real-world problems, the author decided to create modules of study on graph theory appropriate for middle school students. In this thesis, four modules were developed in the area of graph theory: an Introduction to Terms and Definitions, Graph Families, Graph Operations, and Graph Coloring. It is written as a guide for middle school teachers to prepare teaching units on graph theory.

Base Counting And Simple Mathematic Applications For The Special Education Classroom., James David Ray

Electronic Theses and Dissertations

This thesis was designed as a self study unit for middle school aged students with special needs. The unit is broken in to sub-units that specifically cater to each number base. Also included in this plan is a brief history of counting and practical uses for the mathematics of different number bases. This has been designed to be a "fun" unit to study after taking S.O.L. tests or other state standard testing. Included in each unit are worksheets for assessment of understanding.

The Role Of The History Of Mathematics In Middle School., Mary Donette Carter

Electronic Theses and Dissertations

It is the author's belief that middle school mathematics is greatly taught in isolation with little or no mention of its origin. Teaching mathematics from a historical perspective will lead to greater understanding, student inspiration, motivation, excitement, varying levels of learning, and appreciation for this subject. This thesis will develop four units that will incorporate original source documents and selected historical topics surrounding computation, numbers, and early calculating devices. Many of the units will center on the Rhind Papyrus and The Treviso Arithmetic. These units will be appropriate to middle school, with an emphasis on 6^th grade.

Probability For The Fifth Grade Classroom., Janeane Sue Young

Electronic Theses and Dissertations

The purpose of this thesis was to thoroughly develop probability objectives to be used by a fifth grade teacher. These probability objectives were developed in four main units. The focus of the first unit was probability vocabulary. The second unit explored the concept of fairness as determined by the probability of winning a game. The third unit's purpose was to determine sample space using tree diagrams, lists, and the Counting Principle. Unit four was designed to help the student write theoretical and experimental probability as fractions, decimals, and percentages. Each unit was written to include detailed descriptions, definitions, and probability …

Incorporating Different Number Bases Into The Elementary School Classroom., Crystal Michele Hall

Electronic Theses and Dissertations

Since becoming an educator and gaining extensive classroom experience, I have concluded that it would be beneficial to elementary school children to learn other number bases and their basic functions and operations. In this thesis, I have developed five units involving lesson plans for incorporating various number bases into the existing curriculum. The units are Decimal (Base 10), Duodecimal (Base 12), Quinary (Base 5), Binary (Base 2), and Octal (Base 8) which are all appropriate for the elementary level.

Second Graders' Solution Strategies And Understanding Of A Combination Problem, Tiffany Marie Hessing

Theses and Dissertations

I inquire about second graders' capabilities of developing solution strategies and the original variety of strategies they bring forth while solving a combination problem. Based on analysis of the data presented in this paper, students developed five different general strategies. After analyzing what the second grade students were capable of developing, we can conclude that young children are capable of developing powerful systematic strategies grounded in their personal experiences. This research shows that even when the teacher does not foster personal agency, children will still exercise agency. The social interactions in the classroom helped students learn to propose mathematical ideas, …

How A Master Teacher Uses Questioning Within A Mathematical Discourse Community, Omel Angel Contreras

Theses and Dissertations

Recent scholarly work in mathematics education has included a focus on learning mathematics with understanding (Hiebert & Carpenter, 1992; Hiebert et al., 1997; Fennema & Romberg, 1999; National Council of Teachers of Mathematics, 2000). Hiebert et al. (1997) discussed two processes that they suggested increase understanding and that are central to this study: reflection and communication. Learning mathematics with understanding requires that the students create a deeper knowledge of mathematics through reflection and communication. The environment in which such learning can take place must include patterns of behavior, known as social norms that promote deeper thinking. When the social norms …

The Nature And Frequency Of Mathematical Discussion During Lesson Study That Implemented The Cmi Framework, Andrew Ray Glaze

Theses and Dissertations

During a year-long professional development, the faculty members at an elementary school received instruction on mathematics and how to use the Comprehensive Mathematics Instruction framework. The instruction and the framework were consistent with the standards suggested by the National Council of Teacher of Mathematics (2000). This thesis analyzes the mathematical language used by three fifth-grade teachers who participated in lesson study to create a research lesson based upon the Comprehensive Mathematics Instruction framework.

Determining High School Geometry Students' Geometric Understanding Using Van Hiele Levels: Is There A Difference Between Standards-Based Curriculum Students And Nonstandards-Based Curriculum Students?, Rebekah Loraine Genz

Theses and Dissertations

Research has found that students are not adequately prepared to understand the concepts of geometry, as they are presented in a high school geometry course (e.g. Burger and Shaughnessy (1986), Usiskin (1982), van Hiele (1986)). Curricula based on the National Council of Teachers of Mathematics (NCTM) Standards (1989, 2000) have been developed and introduced into the middle grades to improve learning and concept development in mathematics. Research done by Rey, Reys, Lappan and Holliday (2003) showed that Standards-based curricula improve students' mathematical understanding and performance on standardized math exams. Using van Hiele levels, this study examines 20 ninth-grade students' levels …

Usage Of Plant Examples In Secondary School Biology Classes, Tamara L. Egner

Theses and Dissertations

Botanists have expressed concern over the dwindling recognition and emphasis of plants that currently exists in the fields of education and research. To ascertain if these claims pertain to high schools in the State of New Jersey, a survey on the frequency of using plant examples for teaching 10 biological principles was randomly distributed to secondary school biology teachers. Results from 80 respondents showed that on average, plants are used as examples in teaching 66% of these biological principles. The primary rationale cited by teachers for low or non-usage of plants was that they preferred animals as teaching examples. Underlying …

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses?, Matthew M. Webb

Theses and Dissertations

Lesson study is a form of professional development for teachers adopted in recent years from Japan. Introducing lesson study to U.S. teachers and researchers has been the focus of most of the literature on this subject. Much of the literature outlines how lesson study works and describes its essential features. One of the features of lesson study is anticipating student responses, also known as anticipating student thinking. Anticipating student responses is passingly described in lesson study literature. This research was conducted to understand what it means to anticipate student responses for preservice mathematics teachers in a lesson study group. Lesson …

A Study Of Secondary Teachers' Attitudes Toward The Use Of The Graphing Calculator To Prepare For And Perform On The Hspa, Michael Dempsey

Theses and Dissertations

The purpose of this research will be to identify the effectiveness of graphing calculators as instructional tools in building the skills needed to demonstrate proficiency on the New Jersey HSPA. To research this topic, teachers from South Jersey high schools were contacted and asked to respond to a survey regarding opinions and observations about the use of the graphing calculator. The survey was created by the researcher in order to investigate how teachers feel graphing calculators influence conceptual understanding of skills tested on the HSPA. The survey will use a Likert scale to measure teacher attitudes about the effect of …

Standards Based Interactive Bilingual Math Centers For The Kindergarten Classroom, Laura Berge

All Graduate Projects

Statistical data from various research sources indicate a large discrepancy between mathematical achievement levels of Hispanic students. The project is significant in that it integrates current research on early learners, educational pedagogy, ELL teaching strategies, and mathematical learning to ensure success in mathematics for young Hispanic students. Toward this end, the purpose of this project was to develop bilingual math centers using a constructivist approach and the latest research on second language acquisition and teaching for the early childhood classroom. This project is also unique because it supplements current math curriculums used throughout the state while providing the necessary scaffolds …

A Culturally And Linguistically Responsive Curriculum For Secondary Biology Teachers, Raquel Georgina Martinez

All Graduate Projects

Research was conducted in the following areas, which help support the need for a culturally and linguistically responsive curriculum for secondary biology teachers. The history of both bilingual education and science, the importance of bilingual education, a summarization of selected bilingual and ESL models, bilingual and science curriculum, supported bilingual research, standardized tests, science and ELL students, and in closing secondary bilingual research. Based on the conducted research, the curriculum was developed utilizing the late-exit bilingual model, preview/review, and the incorporation of the student's culture.

When Am I Ever Going To Use This? A Mathematics Investigation Involving Animals, Nicole Lynn Drake

All Graduate Projects

This project is a format for developing investigations that includes a sample set of investigations that teachers can use as a resource. This project develops an investigation that assists teachers in presenting math concepts within the context of his or her students' everyday life. Investigations use real live experiences as background and context for student learning. By developing a problem that the students can relate to, the student's attitudes and depth of knowledge will improve. This project looks into, the history of reform in mathematics education, the National Council of Teachers of Mathematics standards, current curricula addressing reform, math workshops, …

Effect Of An Inquiry-Based Curriculum And Experiential Education Of Middle School Students' Attitude In Science, Angela Rae Teubert

Dissertations, Master's Theses and Master's Reports - Open

No abstract provided.

Inquiry And Understanding : Educational Research With Middle Level Science Students , Deborah A. Sage

Dissertations, Master's Theses and Master's Reports - Open

No abstract provided.

Squeezing In Constructivist Mathematics: A Second Grade Curriculum, Deborah Potvin

Graduate Student Independent Studies

This curriculum consists of a collection of mathematics activities intended to complement a standard second-grade curriculum. The activities within this collection focus on the topics and concepts addressed by a traditional curriculum; however, they allow the students to approach the subject from a slightly different angle. The problems, projects, and games create situations in which students can create their own understanding of numbers.

By providing ready-to-use, well-organized activities designed to promote constructivist learning, this collection aims to make constructivist mathematics accessible to teachers working within a more traditional curriculum. The inspiration for the activities within this curriculum comes from a …

Classroom Mathematical Practices In A Preservice Elementary Mathematics Education Course Using An Instructional Sequence Related, Janet Andreasen

Electronic Theses and Dissertations

This qualitative study documents a classroom teaching experiment in a semester-long undergraduate mathematics education course for 16 prospective elementary school teachers. The purpose of this study was to investigate how social aspects of the classroom environment facilitated the collective mathematical learning of place value and whole number operations by preservice elementary school teachers. Design-based research methodology was used for formulating the study. A hypothetical learning trajectory and instructional sequence related to place value and operations were created and refined in the two semesters prior to this study. The instructional sequence was in its third iteration for this study. The developmental …

Challenging A Traditional Social Norm In A Second Grade Mathematics Classroom, Lisa Egendoerfer

Electronic Theses and Dissertations

In an attempt to examine classroom dialogue within a second grade classroom, I encouraged students to participate in mathematics discussions without needing to raise their hands before speaking. I challenged this traditional social norm and established sociomathematical norms as the study progressed. My study showed the effects of this change on the dialogue of students in my classroom. Focus was placed on the participation in classroom discussions when traditional social and sociomathematical norms were in place as well as when new norms were established. The study helped determine the effects of student-centered dialogue on conceptual understanding as demonstrated in the …

The Effects Of Science Inquiry In A Fourth Grade Classroom, Stephanie Luke

Electronic Theses and Dissertations

The purpose of this study was to determine the effects that science inquiry would have on fourth grade students' ability to communicate about scientific concepts learned, their perceptions about science and scientists, and my role as a teacher. The study took place in an elementary school setting for twenty weeks. Fourteen fourth grade students participated. Qualitative and quantitative methods were used to gather data for the study. Pre and post questionnaires and Draw a Scientist Tests were used, along with observations, field notes, videotaped lessons, and reflections. The data revealed that students' ability to communicate about science concepts improved during …

The Effects Of The 5e Learning Cycle Model On Students' Understanding Of Force And Motion Concepts, Meghann Campbell

Electronic Theses and Dissertations

As advocated by the National Research Council [NRC] (1996) and the American Association for the Advancement of Science [AAAS] (1989), a change in the manner in which science is taught must be recognized at a national level and also embraced at a level that is reflected in every science teacher's classroom. With these ideas set forth as a guide for change,this study investigated the fifth grade students' understanding of force and motion concepts as they engaged in inquiry-based science investigations through the use of the 5E Learning Cycle. The researcher's journey through this process was also a focus of the …