Science and Mathematics Education Commons^™

Fan Cohomology And Equivariant Chow Rings Of Toric Varieties, Mu-Wan Huang

Department of Mathematics: Dissertations, Theses, and Student Research

Toric varieties are varieties equipped with a torus action and constructed from cones and fans. In the joint work with Suanne Au and Mark E. Walker, we prove that the equivariant K-theory of an affine toric variety constructed from a cone can be identified with a group ring determined by the cone. When a toric variety X(Δ) is smooth, we interpret equivariant K-groups as presheaves on the associated fan space Δ. Relating the sheaf cohomology groups to equivariant K-groups via a spectral sequence, we provide another proof of a theorem of Vezzosi and Vistoli: equivariant K …

Integration Of The Bscs 5e Instructional Method And Technology In An Anatomy And Physiology Lab, Tamilselvi Gopal

Dissertations

This research provides an understanding of how the 5E instructional method combined with educational technology tools can be used in teaching undergraduate college level anatomy and physiology laboratory classes. The 5E instructional model is the exemplary instructional model in teaching biology for high school students. The phases in the 5E learning cycle are Engage, Explore, Explain, Elaborate, and Evaluate. In every step of the learning cycle, the researcher used appropriate technology tools to enhance the teaching and learning processes. The researcher used the Dynamic Instructional Design model to identify the appropriate technology tools for instruction. The topics selected for modification …

Selecting Effective Mathematics Interventions In The Rti Process Via Brief Experimental Analyses, Carmen Daniela Reisener

Dissertations

The treatment utility of brief experimental analyses (BEAs) for identifying effective treatments for individual students experiencing mathematics difficulties is a novel area of research; especially in a Response-to-intervention (Rtl) framework. One fourth and three sixth grade students served as participants in the current study. The effects of a variety of evidence-based mathematics computation fluency interventions were examined in a BEA format. Effective treatments identified from the BEA for each participant were alternated during an extended analysis. The results of the current investigation indicated variability within and across participants in response to a variety of evidence-based interventions. Visual analysis of the …

Constructed Response Answers In A Multiple-Choice Universe, Carl W. David

Chemistry Education Materials

A scheme is introduced which allows computer readable multiple choice forms used in traditional examinations to be employed for constructed response items.

Ua64/2 The Challenge: Magazine Of The Center For Gifted Studies (No. 23, Summer 2009), Center For Gifted Studies, Tracy Inman Editor

Gifted Studies Publications

No abstract provided.

Sicherman Dice, Scott Johnsen

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

Many different types of games involve the use of numbered dice. The most common type of die used is the standard six-sided die with the numbers one through six used on its six sides. What if there was another way of numbering a set of dice (using only positive integers) that would create the same probability outcomes as those of a standard set of dice? The February 1978 issue of Scientific American reports that George Sicherman discovered such a numbering (Broline, 1979). Sicherman discovered that two cubic die numbered 1-2-2-3-3-4 and 1-3-4-5-6-8 have the same sum probabilities as do the …

Reviewing, Rethinking And Revising Homework Expectations In A Seventh Grade Math Class, Marilyn Hein

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

In this action research study of my seventh grade mathematics class, I investigated whether de-emphasizing homework assignments as daily grades while stressing them as daily practice encouraged students to focus more on the learning rather than the daily grade. As part of this study, I also looked at how this change in homework expectations affected my daily teaching. I discovered that having students keep notes, examples, practice problems and homework assignments in a notebook helped them concentrate more on the process of getting answers and why they may of had an incorrect answer. Students were more likely to discuss with …

Oral Presentations: Exploring Presentations Of Homework Problems As An Alternative Assessment Tool, Michael Ford

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

In this study of my fifth grade mathematics class, I investigated a method of assessing homework presentations as an alternative means of assessment from the more traditional approach of paper and pencil testing. By changing the number of daily problems assigned in my classroom to include shorter assignments and implementing longer, more difficult story problems, I found that students enjoyed mathematics more and had a deeper understanding of the concepts. Increased retention of material, enhanced abilities to communicate problem solving methods, and improved attitudes were all positive side-effects of this project. As a result of my study, I have changed …

Mathematical Communication And Achievement Through Journal Writing, Cathy Schultz

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

In this study, I investigated my classroom of sixth grade mathematic students on how journal writing influences students’ writing and learning and how journal writing influences my mathematics teaching. I discovered that students enjoyed writing in their journals and reading my responses. Students could openly communicate their questions, thoughts, and opinions. They shared with me what it was like for a sixth grade math student. They also pointed out the concepts they understood or the ones that challenged them. Some students stated that the journal writing helped them think harder. As a teacher, reading and responding to their journal writing …

Real Life Problem Solving In Eighth Grade Mathematics, Michael Bomar

Action Research Projects

In this action research study of my classroom of eighth grade Pre-Algebra, I investigated how student understanding and achievement were affected when the lessons were centered around real-life problem solving when the students had input on the problems used through the use of mathematical journals. I discovered that there was an increase in achievement and understanding when the lessons were centered on real-life problem solving and that the interest level of the students increased through offering their suggestions of applications to real life. As a result of this research, I plan to implement the usage of real-life problems into my …

Mathematical Communication Through Written And Oral Expression, Brandee Wilson

Action Research Projects

In this action research study of my classroom of sixth grade mathematics, I investigated the use of communication of mathematics through both written and oral expression. Giving my students the opportunity to communicate mathematics both in writing and orally helped to deepen the students’ understanding of mathematics. The students’ levels of comprehension were increased when they were presented with a variety of instructional methods. Through discussion and reflection the students were able to find methods that worked best for them and their learning ability. Students’ understanding increased from probing questions that made the students reflect and re-evaluate their solutions. This …

The Use Of Vocabulary In An Eighth Grade Mathematics Classroom: Improving Usage Of Mathematics Vocabulary In Oral And Written Communication, Amy Solomon

Action Research Projects

In this action research study of my mathematics classroom of eighth grade students, I investigated the use of mathematics vocabulary by focusing on improving the usage of this vocabulary in both oral and written communication. I discovered oral communication tended to show more improvements compared to written communication done by the same group of students. As a result of this research, I plan to continue to focus my teaching on the use of mathematics vocabulary in an effort to help my students gain a greater understanding of the daily use of that vocabulary.

Oral And Written Communication In Classroom Mathematics, Lindsey Sample

Action Research Projects

In this action research study of my classroom of sixth grade mathematics, I investigated the impact of an increase in student oral and written communication on student level of understanding and student self-confidence. I also investigated the changes in my teaching as I increased opportunities for student oral and written communication of mathematics. While I discovered that student level of understanding was not necessarily increased if written communications were increased, I did find that there seemed to be a rise in student level of self-confidence and understanding throughout the course of the research project due to an increase in oral …

Cooperative Grouping Working On Mathematics Homework, Maggie Pickering

Action Research Projects

In this action research study of my classroom of sixth grade mathematics, I investigated the impact of cooperative grouping on mathematics homework completion, achievement, and attitude toward mathematics. I discovered that many students do benefit from cooperative grouping in the mathematics classroom; however, low-ability students tended not to benefit as much as other students. Also, homework completion and student attitude toward mathematics did not change with cooperative grouping. As a result of this research, I plan to continue to use cooperative groupings but will change the way cooperative learning is used in my mathematics classroom to see if there is …

Students Writing Original Word Problems, Marcia Ostmeyer

Action Research Projects

In this action research study of my eighth grade mathematics classroom, I investigated what would happen when I shifted part of my instruction to focus on students writing original word problems. I also investigated whether students could show measureable growth in the quality of word problems they wrote throughout the research project. Additionally, I explored whether my students would develop a more positive attitude toward word problems as a result of writing their own word problems. Through surveys and journal responses, I discovered that the focus of my teaching shifted to a role as a facilitator for my students’ writings …

Student Understanding And Achievement When Focusing On Peer-Led Reviews, Ryon Nilson

Action Research Projects

Math in the Middle Institute Partnership, Action Research Project Report, In partial fulfillment of the MAT Degree. Department of Mathematics. University of Nebraska-Lincoln. July 2009.

Making Better Problem Solvers Through Oral And Written Communication, Sheila Mccartney

Action Research Projects

In this action research study of my classroom of eighth grade mathematics, I investigated the impact of oral and written communication on students’ problem-solving skills. I collected data to see how emphasizing oral and written communication affected small-group work, usage of precise mathematical vocabulary, and student attitudes toward mathematics. Oral and written communication allowed students to periodically evaluate their own learning and their involvement in math class. I discovered that the vast majority of students enjoyed working in small groups, and when they got to work in small groups, they felt more confident in their solutions to problems. Data on …

Iowa Academy Of Science: The New Bulletin, V05n2, Summer 2009, Iowa Academy Of Science

New Bulletin

Inside This Issue:

--Message from the Executive Director

--IJAS Students Speak with NASA Scientists

--Geological Society of Iowa Field Trips

--Announcements, Events & Deadlines

--2009 IJAS Annual Meeting Winners

--2009 IAS Speaker Series at the Saylorville Visitor Center

--Remembering Dr. Thomas Huston Macbride

--Iowa Science Teaching Section Fall Conference

--Project WET

Teaching Mathematics For Social Justice: Reflections On A Community Of Practice For Urban High School Mathematics Teacher, Lidia Gonzalez

Publications and Research

In this article, the author reports on a study that explored, in part, the developing identities of seven New York City public high school mathematics teachers as teachers of mathematics and agents of change. Meeting regularly as a community of practice, the teachers and author/researcher discussed issues of teaching mathematics for social justice; explored activities and lessons around social justice; and created a unit of study that attempted to meet high school level mathematics standards, while addressing a social justice issue affecting the lives of urban students. The author reports on the mathematics teachers, growing awareness of and concerns about …

The Effect Of Prior Knowledge In Undergraduate Performance In Chemistry: A Correlation – Prediction Study, Michael K. Seery

Theses

No abstract provided.

Creating A Math Wall In An Elementary School, Lindsey Moorhouse

All Graduate Projects

Creating a Math Data Wall in an elementary school is a way to track students' progress in mathematics, guide instruction and provide strategic interventions to students who are at risk. A Math Data Wall is a visual representation of the students' progress across grade levels. Assessments have been used in schools for many years. Assessments are used to provide a variety of information to the teacher, school and district. Using assessments in the classroom is a necessary step to track students' progress and guide teacher instruction. A Math Data Wall will give teachers a visual representation of their students' progress …

Algebra In The Fifth Grade Mathematics Program, Kathy Bohac

Action Research Projects

In this action research study of my classroom of fifth grade students, I investigated the incorporation of more algebraic concepts in their mathematics curriculum. Due to the restructuring of mathematics courses at the secondary level, my district has suggested that more algebraic concepts be included in the intermediate elementary mathematics curriculum. I discovered that the fifth grade students were not only capable of, but also enjoyed solving algebra equations. As a result of this research, I plan to continue to use the Hands On Equations program each year to enhance the current mathematics curriculum and to improve the fifth graders‟ …

Using Cooperative Learning In A Sixth Grade Math Classroom, Teena Andersen

Action Research Projects

In this action research study of my classroom of sixth grade mathematics, I investigated the impact of cooperative learning on the engagement, participation, and attitudes of my students. I also investigated the impact of cooperative learning upon my own teaching. I discovered that my students not only preferred to learn in cooperative groups, but that their levels of engagement and participation, their attitudes toward math, and their quality of work all improved greatly. My teaching also changed, and I found that I began to enjoy teaching more. As a result of this research, I plan to continue and expand the …

Communication: A Vital Skill Of Mathematics, Lexi Wichelt

Action Research Projects

In this action research study of my classroom of seventh grade mathematics, I investigated the impact of communication in the classroom. I focused on asking more open-ended questions in the hopes that students would engage in mathematical discourse with a focus on correctly using mathematical vocabulary. I also looked at the level of students’ understanding and achievement in mathematics class and the accuracy of students’ assessments of their own understanding when there is a focus on asking and answering open-ended questions. I discovered that students had a better understanding of vocabulary when they were asked more open-ended questions. I also …

Enhancing Problem Solving Through Math Clubs, Jessica Haley Thompson

Action Research Projects

This action research paper was about a mandatory math club of seventh graders that met once per week over a 12-week period. The students gathered in the classroom during their regularly scheduled math class. The focus of the math club was to solve challenging math problems, usually cooperatively, and sometimes competitively. The math club activities varied from week to week to offer an element of surprise. Frequently, the students presented their solutions to peers, along with an explanation of the way they solved the problem. Instruments were used to collect information about problem-solving accuracy, student attitudes, and student and teacher …

Written Communication In A Sixth-Grade Mathematics Classroom, Mary Schneider

Action Research Projects

In this action research study of my sixth grade mathematics classroom, I investigated what happened to students’ mathematical achievement when they had increased practice on written explanations to problems. I wanted to see if writing out solutions to problems helped them overall in daily mathematics. By using specific mathematic vocabulary more frequently and deliberately during my instruction, I wanted to investigate whether students would correctly use specific math vocabulary in their written explanations. I also increased my expectations of the students’ written explanations throughout the research project. I wanted to determine whether students would try to meet or even exceed …

Making Sense Of Word Problems, Edie Ronhovde

Action Research Projects

In this action research study of my classroom of sixth grade mathematics, I investigated word problems. I discovered that my students did not like to try word problems because they did not understand what was being asked of them. My students also saw no reason for solving word problems or in having the ability to solve them. I used word problems that covered topics that were familiar to the students and that covered the skills necessary at the sixth grade level. I wanted to deepen their understanding of math and its importance. By having my students journal to me about …

Meaningful Independent Practice In Mathematics, Michelle Looky

Action Research Projects

In this action research of my seventh grade mathematics classroom, I investigated how students’ explanations of math homework would improve their learning in math. I discovered these explanations can be very beneficial in helping students to improve their understanding of current skills although it did not affect all students. As a result of this study, I plan to incorporate these student explanations in my instruction next year but not as a daily expectation.

Oral Communication And Presentations In Mathematics, Brian Johnson

Action Research Projects

In this action research study of my classroom of eighth grade mathematics, I investigated the attitudes of students toward mathematics along with their achievement levels with the use of oral presentations in my Algebra class. During the second semester the class was divided into groups of two for each presentation, changing partners each time. Every other week each group was given a math problem that required more work than a normal homework type problem. On the last day of that week the students gave a short presentation on their problem. I discovered that while there was no significant evidence that …

Improving Achievement And Attitude Through Cooperative Learning In Math Class, Scott Johnsen

Action Research Projects

In this action research study of my classroom of eighth grade mathematics, I investigated the use of cooperative learning groups and whether working in groups changed students’ individual achievement and students’ attitudes toward mathematics. I used my eighth grade class of 13 students along with two different types of group formations: teacher-formed groups and student-formed groups. I discovered that the type of group formation can have an impact on the attitudes of students and how well they work together. I also discovered that there was no real change in students’ achievement, but the longer the group worked together the better …