Science and Mathematics Education Commons^™

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 …

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.

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.

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 …

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 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.

Project Fulcrum 2006-2007 Handbook

Project Fulcrum

About Project Fulcrum
Logistics
PF
Assessment and Research
For Scientists: Working in K-12 Schools
Working in the Lincoln Public Schools
Misc Information
Resources

Pf 2006-2007 Case Study Exercises

Project Fulcrum

7 Case Studies

Database Handbook 2006-2007

Project Fulcrum

INTRODUCTION
MAIN WEBSITE OVERVIEW
LOGGING IN
INFO
REPORTING
RESOURCES

Gsi: Geo Scene Investigation! Post-Visit Lessons, Support Materials: The Story In Art (Grade 7), Discover Mojave: Forever Earth

Curriculum materials (FE)

Student worksheet and teacher's sample for creating a geologic landscape.

Gsi: Geo Scene Investigation! Pre-Visit, Support Materials: Topographic And Geologic Maps (Grade 7), Discover Mojave: Forever Earth

Curriculum materials (FE)

Student worksheets for reading Lake Mead area topographic maps.

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 …

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, …

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 …

Ua64/2 The Challenge: Magazine Of The Center For Gifted Studies (No. 17, Summer 2006), Center For Gifted Studies, Tracy Inman Editor

Gifted Studies Publications

No abstract provided.

Just What Do You “Mean”?, Myrna L. Bornemeier

Department of Mathematics: Master of Arts in Teaching, Exam Expository Papers

In Ancient Greece the Pythagoreans were interested in three means. The means were the arithmetic, geometric, and harmonic. The arithmetic mean played an important role in the observations of Galileo. Along with the arithmetic mean, the geometric and harmonic mean (formerly known as the subcontrary mean) are said to be instrumental in the development of the musical scale. As we explore the three Pythagorean Means we will discover their unique qualities and mathematical uses for helping us solve problems.

Area And Perimeter Of Polygons, Bryan Engelker

Department of Mathematics: Master of Arts in Teaching, Exam Expository Papers

A student comes to class excited. She tells you she has figured out a theory you never told the class. She says she has discovered that as the perimeter of a closed figure increases, the area also increases. She shows you two pictures to prove what she is doing. The first picture is of a 4 by 4 square. Of course, its perimeter is 16 and its area is 16. The second picture is of a 4 by 8 rectangle. Here the perimeter is 24 and the area is 32. What do you say to the student?

The Art Gallery Question, Vicki Sorensen

Department of Mathematics: Master of Arts in Teaching, Exam Expository Papers

MAT question Suppose you have an arbitrary room in an art gallery with v corners, and you wanted to set up a security system consisting of cameras placed at some of the corners so that each point in the room can be seen by one of the cameras. How many cameras do we need? (See the example at right for a possible room with an interesting shape.)

Factors That Influence Mathematics Attitudes, Natalie Jenkins

Department of Teaching, Learning, and Teacher Education: Master of Arts in Teaching, Summative Projects

In this action research study conducted within my sixth grade High Ability Learner (HAL) classroom, I investigated the current mathematics attitudes of my students and how these attitudes correlated to personal mathematics achievement and identified intelligence domains. I discovered that most of my nineteen students held a negative attitude toward the subject of mathematics. Consistent low ratings were also found in the logical/mathematical domain of most of my students’ ALPS Multiple Intelligence Profiles. Regardless of this dominant affective data (indicating little mathematics interest or potential from student perspectives) surprisingly, most of my sixth grade HAL students scored above the 90th …

Discourse And Cooperative Learning In The Math Classroom, Karen Hillen

Department of Teaching, Learning, and Teacher Education: Master of Arts in Teaching, Summative Projects

In this action research study of my 6th grade math classroom I investigated the effects of increased student discourse and cooperative learning on the students’ ability to explain and understand math concepts and problem solving, as well as its effects on their use of vocabulary and written explanations. I also investigated how it affected students’ attitudes. I discovered that increased student discourse and cooperative learning resulted in positive changes in students’ attitudes about their ability to explain and understand math, as well as their actual ability to explain and understand math concepts. Evidence in regard to use of vocabulary and …

The Effects Of Self-Assessment On Student Learning, Darla Rae Kelberlau-Berks

Action Research Projects

In this action research study of my 7th and 8th grade mathematics classes, I investigated self-assessment and goal setting. Students set goals at the beginning of the chapter. Students rated themselves at the end of each lesson in several different areas. Those ratings were used to help students know what areas to focus on when preparing for a test. I discovered that students were realistic with their goals. I discovered that the 7th grade Pre-Algebra classes were accurate with their self-ratings and that those ratings helped students with test preparation. I also discovered that students were positive about the experience …

Using Math Vocabulary Building To Increase Problem Solving Abilities In A 5th Grade Classroom, Julane Amen

Action Research Projects

In this action research study of my 5th grade mathematics class, I investigated how students’ understanding of math vocabulary impacts their understanding of the curriculum. I discovered math vocabulary plays an important role in a student’s ability to understand daily lessons, complete homework, discuss ideas in groups, take tests and be successful on achievement tests. A student’s ability to understand the words around him (or her) in math class seem very related to his or her ability to solve word problems. Word problems are what our national assessments are all about. I also discovered that direct instruction and support of …

How To Better Prepare For Assessment And Create A More Technologically Advanced Classroom, Kyle Lannin Poore

Action Research Projects

In this action research study of my classroom of 8th grade mathematics, I investigated how to better prepare these students for quizzes and how technology can be used in the classroom. I discovered that there are many different ways to challenge students and help them prepare for assessments. There are also many ways to use technology in the classroom if one has the opportunities to use some of the tools, such as Power Point and Algebra Tiles. As a result of this research, I plan to increase the scores on state standards while also allowing the students to enjoy technology …

Student Transition To College, Doug Glasshoff

Action Research Projects

In this action research study of recent graduates from my district, I investigated their level of readiness for college-level mathematics courses. I discovered that the students have a wide variety of experiences in college. There are many factors that determine success in college mathematics courses. These factors include size of college, private or public, university or community college. Other factors include students’ choice of major, maturity level, and work ethic. As a result of this research, I plan to raise the individual expectations in my classroom. It is our duty as high school educators to prepare the students for a …

Daily Problem-Solving Warm-Ups: Harboring Mathematical Thinking In The Middle School Classroom, Diana French

Action Research Projects

In this action research study of my classroom of 8th grade mathematics, I investigated the use of daily warm-ups written in problem-solving format. Data was collected to determine if use of such warm-ups would have an effect on students’ abilities to problem solve, their overall attitudes regarding problem solving and whether such an activity could also enhance their readiness each day to learn new mathematics concepts. It was also my hope that this practice would have some positive impact on maximizing the amount of time I have with my students for math instruction. I discovered that daily exposure to problem-solving …

Iowa Academy Of Science: The New Bulletin, V02n3, Summer 2006, Iowa Academy Of Science

New Bulletin

Inside This Issue:

--Message from the Executive Director

--InnoCentive

--Saylorville 2006 Weather Talk

--Jane Haugen receives Gold Star

--GLOBE ONE Posters go to Thailand

--Education and the Environment

--Upcoming Programs

Using Literature And Innovative Assessments To Ignite Interest And Cultivate Critical Thinking Skills In An Undergraduate Neuroscience Course, Eileen Lynd-Balta

Biology Faculty/Staff Publications

Science education reform initiatives emphasize 1) the value of concepts over facts; 2) the benefits of open-ended, inquiry-based problem-solving rather than protocols leading to a single correct answer; and 3) the importance of a multidisciplinary approach to teaching that is not confined by departmental boundaries. Neuroscientists should be at the forefront of this movement by the very nature of the discipline we study. Neuroscience is a relatively new field that integrates diverse subjects (anatomy, physiology, pharmacology, molecular biology, computer science, and psychology) and experimental advances are constantly changing and expanding our understanding of brain function. How can we convey this …

Cooperative Learning Groups In The Eighth Grade Math Classroom, Dean J. Davis

Action Research Projects

In this action research study of my classroom of 8th grade mathematics students, I investigated whether cooperative learning would lead to a better understanding of the mathematical concepts and thus more success for the students. I used my three eighth grade classes with two using cooperative groups and the third not. I discovered that the students who wanted to work in cooperative groups were more successful than they had been. I also discovered that the grouping itself has a great effect on how the group works together. The wrong grouping of students can lead to disaster and many headaches for …